I will give 40 points!
Eight subtracted from the product of 4 and a number is less than 26. Translate the sentence into an inequality

Answers

Answer 1

Answer:

(4 × y) - 8 = <26

Step-by-step explanation:

The equation for this problem is:

(Let y = the unknown number)

(4 × y) - 8 = <26

Therefore, you can use (4 × y) - 8 = <26 as an inequality for this problem.


Related Questions

HELP PLEASE I GIVE BRAINLIEST

Answers

The apex predator in the given triangle is the animal at the highest point, Beluga whale. Option 2 is the correct answer.

What is apex?

An apex (plural apices) is the vertex in geometry that is essentially the "highest" of the form to which it belongs. The phrase is frequently used to describe the vertex that is opposite from a "base." The word comes from a Latin root that means "summit, peak, tip, top, or extreme end."

the point (vertex) of an item that is furthest distant from its base.

The apex predator in the given triangle is the animal at the highest point, Beluga whale.

Hence, Option 2 is the correct answer.

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Find the missing side length. Round to the nearest tenth.

Answers

The missing side length is 22.6.

From the given figure, We can observe that it is a right-angled triangle.

We are provided with two angles in the triangles,

So, We can evaluate the third angle by the sum of the angles property of

a triangle.

∠ABC + ∠BAC + ∠ACB = 180°

90° + 37° + ∠ACB = 180°

∠ACB = 180° - 127°

∠ACB = 53°

By the property of the triangle,

tanα = Perpendicular/Base of the triangle

tanα = AB/BC

tan53° = x/17

x = tan53°×17

x = 22.6

Therefore, The missing side length is 22.6.

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The missing side length of right angled triangle is 22.6.

Given,

Right angled triangle

Here

Two angles in the triangles : 37 and 90 degrees .

So, We can evaluate the third angle by the sum of the angles property of a triangle.

∠ABC + ∠BAC + ∠ACB = 180°

90° + 37° + ∠ACB = 180°

∠ACB = 180° - 127°

∠ACB = 53°

By the property of the triangle,

tanα = Perpendicular/Base of the triangle

tanα = AB/BC

tan53° = x/17

x = tan53°×17

x = 22.6

Therefore, The missing side length is 22.6.

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Jamal drank two and one-sixth bottles of water in the morning and three and seven-eighths bottles in the afternoon. Estimate how much water Jamal drank in all.

5 bottles
five and one-half bottles
6 bottles
six and one-half bottles

Answers

Using the addition of the given fractions we know that Jamal drank a total (D) of six and one-half bottles of water.


What is addiction?

One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division.

The entire amount or sum of the two whole numbers is obtained by adding them.

Mathematicians utilize addition as their main arithmetic operation to determine the sum of two or more numbers.

For instance, 7 + 7 equals 14.

So, the given fractions are:

2 1/6 and 3 7/8

Now, add them as follows:

2 1/6 + 3 7/8

13/6 + 31/8

52+93/24

145/24

6 1/24


Therefore, using the addition of the given fractions we know that Jamal drank a total (D) of six and one-half bottles of water.


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Complete question:

Jamal drank two and one-sixth bottles of water in the morning and three and seven-eighths bottles in the afternoon. Estimate how much water Jamal drank in all.

A. 5 bottles

B. five and one-half bottles

C. 6 bottles

D. six and one-half bottles

how to calculate 27 divided by 3

Answers

Answer:

Use a calculator it is 9

Step-by-step explanation:

f(x)=x^2+7

find x if f(x) = 24

Write in ascending order

x= _______ and ______

Answers

Answer:

[tex]\huge\boxed{\sf x = \pm \sqrt{17} }[/tex]

Step-by-step explanation:

Given function:

f(x) = x² + 7

Given that, f(x) = 24

24 = x² + 7

Subtract 7 from both sides

24 - 7 = x²

17 = x²

Take square root on both sides x = ±√17

So,

x = √17 or x = -√17

[tex]\rule[225]{225}{2}[/tex]

Find a counterexample to show that each statement is false.
The sum of any three odd numbers is even.
When an even number is added to the product of two odd numbers, the result will be even.
When an odd number is squared and divided by 2, the result will be a whole number.

Answers

To show that a statement is false, we need to find a counterexample where the statement does not hold true. Here are the counterexamples for each statement:

The sum of any three odd numbers is even.

Counterexample: 1 + 3 + 5 = 9, which is an odd number. Therefore, the statement is false.

When an even number is added to the product of two odd numbers, the result will be even.

Counterexample: 1 {square} 3 + 2 = 5, which is an odd number. Therefore, the statement is false.

When an odd number is squared and divided by 2, the result will be a whole number.

Counterexample: Let's take an odd number, say 3. If we square it, we get 3{square}2 = 9. If we divide 9 by 2, we get 4.5, which is not a whole number. Therefore, the statement is false.

In each of these cases, we have found a counterexample that shows that the statement is false. It is important to remember that just because a statement holds true for some examples, it does not necessarily mean it holds true for all examples. Finding counterexamples is an important tool in mathematical reasoning and can help us to refine and improve our understanding of mathematical concepts.

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can it be concluded that the given parallelogram is either a rhombus, a rectangle, or a square? explain.

Answers

Here in the given diagram all the sides are equal and the diagonals are perpendicular. So the given parallelogram is a rhombus.

Here the data given are

ABCD is a parallelogram

∠BOC = 90°

So AOB = 180 - ∠BOC ( angle of a straight line is 180°)

∠ AOB = 180-90 = 90°

Also ∠ COD = ∠DOA = 90°

OA = OC, OB= OB ( Diagonals of a parallelogram bisect each other)

So the triangles are congruent. So AB = BC

Similarly ΔBOC and ΔCOD are congruent, BC= CD

Similarly ΔCOD and ΔDOA are congruent, CD= AD

So, AB = BC = CD= DA

Since all sides are equal and diagonals are perpendicular, the given parallelogram is a rhombus.

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The complete question is given as the image below.

The postfix of 3 is the last 3 characters of a string. Given a string input, output the last three characters of that string. Assume the string will always have at least three characters

Answers

The output the last three characters of a string, we need to create a variable to store the string, assign the string to the variable, and use the string slicing method to extract the last three characters

To start, we need to create a variable to store our string. We can name this variable "str". Next, we need to assign our string to the variable. We can do this by using the assignment operator "=".

Now, we can begin manipulating the string to output the last three characters. To do this, we can use the string slicing method. This method allows us to extract a portion of the string by specifying the start and end indices. In this case, we want to start at the third-last character, so our start index will be -3. Since we want the last three characters, our end index will be -1. We can use this information to create the following code:

str = "hello"

last_three_characters = str[-3:-1]

Now, when we print the variable last_three_characters, it should output "lo". This is because the slicing method extracts the characters from the start index up to, but not including, the end index.

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Complete Question:

Write a program to the postfix of 3 is the last 3 characters of a string. Given a string input, output the last three characters of that string. Assume the string will always have at least three characters

Math question... 15 points who answers correct and can explain

Answers

Step-by-step explanation:

This is the correct answer

Danielle and David will run in a marathon. Danielle’s running pace is 7 miles per hour, and David’s is 4 miles per hour. If they both start at the same point, how many minutes should it take Danielle to be 12
mile ahead of David?

Answers

It should take Danielle 4 hours, or 240 minutes (since 1 hour = 60 minutes), to be 12 miles ahead of David.

What is the relative velocity?

Relative velocity is the velocityof an object or a person with respect to another object or person. It is the rate at which one object is moving with respect to another object. In other words, relative velocityis the speed at which an object is moving relative to a reference point.

To answer this question, we can use the formula:

time = distance / relative speed

Here, we need to find the time it takes for Danielle to be 12 miles ahead of David. Let's assume that t is the time in hours it takes for Danielle to be 12 miles ahead of David.

During this time, Danielle would have covered 12 more miles than David. Therefore, the distance between Danielle and David will be 12 miles.

Relative speed between them can be calculated by subtracting David's speed from Danielle's speed, since they are running in the same direction. So, relative speed will be:

relative speed = Danielle's speed - David's speed

= 7 - 4

= 3 miles per hour

Now, we can substitute the values of distance and relative speed in the formula to find the time it takes for Danielle to be 12 miles ahead of David:

time = distance / relative speed

= 12 miles / (3 miles per hour)

= 4 hours

Hence, it should take Danielle 4 hours, or 240 minutes (since 1 hour = 60 minutes), to be 12 miles ahead of David.

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Consider this function.
f(x) = 5x
How is function / transformed to create function g? Match each transformation of function with its description.
4
g(x)= 1/3(5)^x
g(x)=5^1/3x
g(x) = 5^3x
g(x) = 3(5)^3
horizontal stretch of a factor of 3

vertical stretch of a factor of 3

vertical compression of a factor of 1/3

horizontal compression of a factor of 1/3

Answers

Answer:

g(x) = 5^3x is a horizontal stretch of a factor of 3. g(x)= 1/3(5)^x is a vertical stretch of a factor of 3. g(x) = 5^1/3x is a vertical compression of a factor of 1/3. g(x) = 3(5)^3 is a horizontal compression of a factor of 1/3.

what is 10k is how many miles?

Answers

The value of kilogram in miles can simply be calculated by dividing the kilometer by 1.609 so 10 kilometers into 6.21371 miles.

In 10k, the "k" stands for kilometres. In terms of miles, 10 kilometres translates to about 6.2 miles, or a half marathon, using the kph to mph conversion. To put that distance into perspective, a 5k is equal to 3.1 miles, or half of it.

So, how does a 10k race go? One of the most well-liked long-distance running competitions is it. Both experienced and novice runners will enjoy the considerable challenge it offers.

A mile on a track consists of four laps, hence a 10k run requires 25 laps. If a 10k event seems a little intimidating, keep in mind that a marathon is 26.2 miles long. By comparison, a 10k seems easy, doesn't it?

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How many cm in 63 inches?

Answers

63 inches is nearly equal to 160.02 cm, rounded to two decimal places.

The Imperial and US Customary measuring systems both utilise the inch as their unit of measurement.

It is the unit of length.

Furthermore, length is measured in centimetres,

Used in the International System of Units,

This is the metric system's present configuration.

52 centimetres equal 20.47 inches (centimeters).

63 inches are equal to 160.02 centimetres.

To convert inches to centimeters,

We can use the following conversion:

1 inch = 2.54 cm

Therefore,

To convert 63 inches to centimeters,

You can multiply 63 by 2.54:

63 inches × 2.54 cm/inch

= 160.02 cm

So 63 inches is nearly equal to 160.02 cm, rounded to two decimal places.

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what is 1/4 times 2/3 as a fraction

Answers

1/4 times 2/3 is 1/6 because if you cross cancel it’ll give you 1/2 x 1/3 then multiply across

What is antiderivative of ln x?

Answers

The antiderivative of ln x is (1/2)(ln x)^2 + C, where C is any constant. The natural logarithm function ln x is defined only for positive x, so the antiderivative is also defined only for positive x.

The antiderivative (also called the indefinite integral) of ln x is a function that, when differentiated, gives ln x. The symbol for the antiderivative is ∫ln x dx.

To find the antiderivative of ln x, we can use integration by substitution. We start by rewriting ln x as 1 times ln x, and then we use the substitution u = ln x. This means that du/dx = 1/x, or dx = x du.

Substituting these expressions into the integral gives:

∫ln x dx = ∫1 ln x dx = ∫u du

Now we can integrate u with respect to itself:

∫u du = (1/2)u^2 + C

Substituting back u = ln x, we get:

∫ln x dx = (1/2)(ln x)^2 + C

where C is the constant of integration.

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PLEASE HELP ASP There is a 25% chance of rain on Saturday and a 40% chance of rain on Sunday. Matthew designed a simulation to predict the probability of rain on both Saturday and Sunday. He used
two fair spinners, as shown below, for the simulation.

Answers

Answer:

12%

Step-by-step explanation:

based on the simulation info, if there is both

1. A "1"

2. An "A" or "B",

then it will rain on both days. This occurs 3 times out of 25, or 3/25 = 0.12 = 12%

1. 2nd row 1st column

2. 3rd row 4th column

3. 5th row 2nd column

Ernesto measured a house and its lot and made a scale drawing. The scale of the drawing was 5 inches : 6 feet. The house's driveway is 35 inches long in the drawing. How long is the actual driveway?

Answers

With the provided scale, the driveway's true length is 7/6 feet, and 1 and 1/6 feet.

Inch Calculator: What is It?

The height of any unit can be converted to inches using the free online tool known as an inch calculator. Both inches and centimetres are units used to measure length; inches are abbreviated as "in" and centimeters as "cm".

To determine the real length of the driveway, we can use the provided scale.

The scale indicates that 5 inches just on illustration corresponds to 6 feet in everyday life.

Now, let's change 35 inches just on picture to feet:

35 inches / 5 inches for every 6 feet equals 7/6 feet.

The driveway is therefore 7/6 feet in length in actuality. We can condense.

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the measure of 2 angles are (3y+11) and (11 y+15). What is the value of y if the angles are congruent

Answers

As a result, if the two angles' measurements are (3y+11) and (11y+15) and they are congruent, then y must equal -1/2.

What is angle?

An angle is a geometric figure formed by two rays that have a common endpoint, called the vertex. The rays are also known as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees. Angles can also be measured in radians, which are another unit of angular measurement used in mathematics and physics. One radian is equal to the angle subtended by an arc of a circle that has a length equal to the radius of the circle. The size of an angle is determined by the amount of rotation that occurs between the two rays. This is typically measured relative to the positive x-axis, with counterclockwise rotations being considered positive and clockwise rotations being considered negative. Angles are used in a wide range of mathematical and scientific applications, including geometry, trigonometry, physics, engineering, and architecture. They are also used in many everyday situations, such as measuring the size of an opening or the angle of incidence of sunlight on a surface.

Here,

If the two angles are congruent, then they must have the same measure.

So we can set the expressions for the measures of the two angles equal to each other and solve for y:

3y + 11 = 11y + 15

Subtracting 3y from both sides:

11 = 8y + 15

Subtracting 15 from both sides:

-4 = 8y

Dividing both sides by 8:

y = -1/2

Therefore, if the measure of the two angles is (3y+11) and (11y+15) and they are congruent, then y must equal -1/2.

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For each eye color, what percent of the students in the survey are male? female? Round each answer to the nearest tenth of a percent. Complete the table two-way table to organize the results.

Answers

48 percent of the students in the survey are male.

40 percent of the students in the survey are female

What is percentage?

A number or proportion which can be represented as just a percent of 100 is known to as a percentage in math. If we want to calculate a percentage of such a number, multiple this by 100 then divided it by the total. Thus, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it.

10%, a comparative figure denoting one hundredth of any amount. One percent (symbolised as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. percentage.

b. 48 males and 40 females were surveyed.

Among the surveyed students, 8 had green eyes, 35 had blue eyes and 45 had brown eyes.

c. the image in below shows the complete table.

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The equation y = m x b is the slope-intercept form of the equation of a line. what is the equation solved for b?

Answers

The equation solved for b is b = y/m

The equation y = m x b is a linear equation in slope-intercept form, which is commonly used to describe the relationship between two variables in a line. In this equation, the variable m is the slope of the line, and b is the y-intercept, or the point at which the line crosses the y-axis.

To solve this equation for b, we can rearrange it to isolate b on one side of the equation.

To do this, we can divide both sides of the equation by m, giving us y/m = b.

This is an equivalent equation that is solved for b, as b is on its own on the right side of the equation. Therefore, the equation solved for b is y/m = b

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show how the parameters in the two equations are related

Answers

The method for determining the similar relationship between the parameters of two equations has been explained below.

The relationship between parameters in two equations depends on the specific equations and parameters involved. In general, parameters are constants or variables that are used to define or modify the behavior of a mathematical or physical system.

If two equations have the same parameters, then changes in those parameters will affect the behavior of both equations in the same way and if they have different parameters, then changes in those parameters may affect the behavior of the equations differently. In general, to determine the relationship between parameters in two equations, you would need to analyze the equations and their specific parameters to understand how they are related.

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What is the conversion of 184 cm to feet ?

Answers

The conversion of 184 centimetres in feet is equals to the 6.03 feet. Thus, conversion factor from centimetres to feet is 6.03/184 = 0.032.

A conversion factor is a number used to convert one set of units into another set of units by multiplication or division. If conversion is necessary, a conversion factor suitable for equivalent value must be used. For example, to convert meters to centimetres, the appropriate conversion value is 100 centimetres equal 1 meter. It includes converting a value from inches to millimeters, for distance from miles to kilometers, feet or other units. How to convert centimeters to feet : One meter is a measure of length and equals approximately 3.28 feet. Thus conversion factor is 3.28 feet. So, 184meters

= 184× 3.28 feet

= 603.52 feet --(1)

But we need to convert 184 centimeters to feet. So, change meters to centimeters. As you know, 1 meter = 100 centimeters, so 184 meters = 18400 centimeters --(2). Now from equations (1) and (2),

18400 centimeters = 603.52 feet,

Divide both parts by 100,

=> 184 centimetres = (603.52/100 ) feet

= 6.03 feet

Hence required value is 6.03 feet.

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What is the area of the rhombus?


363.3 cm2

181.65 cm2

176.6 cm2

38.3 cm2

Answers

Answer:

area of rhombus here parallelogram

bh

21multiplied by 17.3

363.3cm2

The scale drawing has a scale of 1inch:9 yards. What is the total area of the composite figure that the drawing represents?

Answers

The total area of the composite figure represented by the scale drawing is 2,168.1 square yards.

Describe Measurements?

Measurements refer to the process of assigning numerical values to physical quantities such as length, mass, time, temperature, and many others. These numerical values are expressed in units, which are standardized and accepted values used for comparison and communication.

Measurement is an essential part of science, engineering, and many other fields where precise and accurate data is required. Measurements allow us to make quantitative comparisons, analyze data, and draw conclusions.

There are different methods of measurement depending on the physical quantity being measured. For example, length can be measured using a ruler or tape measure, mass can be measured using a scale, and time can be measured using a clock or stopwatch.

It is important to note that measurements can have errors due to various factors such as limitations of the measuring instruments, environmental factors, and human error. Therefore, it is crucial to understand the limitations of the measuring instruments and to take steps to reduce errors as much as possible.

Overall, measurements are an important tool for gaining knowledge and understanding of the physical world, and they play a critical role in many aspects of our daily lives.

To find the total area of the composite figure represented by the scale drawing, we need to use the scale to convert the measurements in inches to measurements in yards, and then use these measurements to calculate the areas of the individual shapes and add them together.

Let's assume that we have labeled the various shapes in the composite figure A, B, C, and D, as shown in the scale drawing.

To convert the measurements in inches to yards, we need to divide each measurement in inches by 36 (since there are 36 inches in a yard) and then multiply by the scale factor of 9 yards per inch. This gives us the measurements in yards:

Shape A: 3 inches x 9 yards/inch = 27 yards (length), 2 inches x 9 yards/inch = 18 yards (width)

Shape B: 5 inches x 9 yards/inch = 45 yards (length), 3 inches x 9 yards/inch = 27 yards (width)

Shape C: 3 inches x 9 yards/inch = 27 yards (diameter)

Shape D: 2 inches x 9 yards/inch = 18 yards (length), 2 inches x 9 yards/inch = 18 yards (width)

Now we can calculate the areas of each shape using the appropriate formulas:

Area of Shape A: length x width = 27 yards x 18 yards = 486 square yards

Area of Shape B: length x width = 45 yards x 27 yards = 1,215 square yards

Area of Shape C: (pi x (diameter/2)^2)/4 = (pi x (27/2)^2)/4 = 143.1 square yards (using the formula for the area of a circle)

Area of Shape D: length x width = 18 yards x 18 yards = 324 square yards

Finally, we can add up the areas of all four shapes to get the total area of the composite figure:

Total area = 486 square yards + 1,215 square yards + 143.1 square yards + 324 square yards

Total area = 2,168.1 square yards

Therefore, the total area of the composite figure represented by the scale drawing is 2,168.1 square yards.

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TRANSPORT Mr Dlamini transport people between Butterworth and East London using a bus which has a capacity of 100 people. The transport charge starts with a minimum charge of R8 and thereafter it was increased by R2 for each kilometre. On a particular day the bus was full with passengers from Butterworth. In each and every kilometre there was a passenger getting off while no new passenger entered in the bus. Mr Dlamini was calculating total money in his hand after each passenger was getting out. The total amount he has after each stop can be written as a series as follows: S. = 8 + 10 + 12 + 14 +... Use the series to calculate the following questions 1.1 (1) Term 2 (T2) = Sum of first two terms (S2) (2) (ii) Express T2 in terms of S, and S2. (1)​

Answers

From the series, it can be deduced that the sum of the first two terms will be 18.

How to calculate the series?

From the information given, it was stated that the transport charge starts with a minimum charge of R8 and thereafter it was increased by R2 for each kilometre.

The series is also given as S. = 8 + 10 + 12 + 14 +... Therefore, the sum of the first two terms will be:

= 8 + 10

= 18

Expressing T2 in terms of S, and S2 will be T2 = S + S2.

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What is the conversion of 300 lbs to kg ?

Answers

The conversion of 300 lbs to kg is 136.054 kg.

What are Measurements?

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object.

Given,

Total units = 300 lbs

We have the conversion factor that,

1 kilogram = 2.205 pounds

Or,

2.205 pounds = 1 kilogram

1 pounds = 1 / 2.205 kg

lbs is same as pounds.

300 lbs = 300 × (1 / 2.205) kg

             = 136.054 kg

Hence the measurement of conversion of 300 lbs is 136.054 kg.

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the measure of 2 angles are (3y+11) and (11 y+15). What is the value of y if the angles are congruent

Answers

As a result, if the two angles' measurements are (3y+11) and (11y+15) and they are congruent, then y must equal -1/2.

What is angle?

An angle is a geometric figure formed by two rays that have a common endpoint, called the vertex. The rays are also known as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees. Angles can also be measured in radians, which are another unit of angular measurement used in mathematics and physics. One radian is equal to the angle subtended by an arc of a circle that has a length equal to the radius of the circle. The size of an angle is determined by the amount of rotation that occurs between the two rays. This is typically measured relative to the positive x-axis, with counterclockwise rotations being considered positive and clockwise rotations being considered negative. Angles are used in a wide range of mathematical and scientific applications, including geometry, trigonometry, physics, engineering, and architecture. They are also used in many everyday situations, such as measuring the size of an opening or the angle of incidence of sunlight on a surface.

Here,

If the two angles are congruent, then they must have the same measure.

So we can set the expressions for the measures of the two angles equal to each other and solve for y:

3y + 11 = 11y + 15

Subtracting 3y from both sides:

11 = 8y + 15

Subtracting 15 from both sides:

-4 = 8y

Dividing both sides by 8:

y = -1/2

Therefore, if the measure of the two angles is (3y+11) and (11y+15) and they are congruent, then y must equal -1/2.

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What is the result 14 times 39 ?

Answers

The value of the term 14 times 39 can be expressed as the value of 2.7857.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

Or, how do you increase something by 14 to get 39? If "x" in the phrase "14 times what = 39?" is "what," then the equation to use to solve the issue is as follows:

14 • x = 39

which is spelled out as:

14x = 39

In order to get the x alone, we must take the 14 from the left side of the equation. We multiply both sides by 14 to achieve that.

14x/14 = 39/14

39/14 is 2.7857 and 14x/14 equals x, thus our equation will be as follows:

x = 2.7857

Therefore, the result of 14 times what is 39 is 2.7857.

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Paul has some cookies. 25 % of them are chocolate chip cookies. If Paul has 6 chocolate cookies , how many cookies does he have altogether?

Answers

If 25% of Paul's cookies are chocolate chip, then 75% of his cookies are not chocolate chip. Let's call the total number of cookies Paul has "x".

So, 25% of x is equal to 6:

0.25x = 6

To solve for x, we can divide both sides by 0.25:

x = 24

So Paul has 24 cookies altogether.

Paul has 6 chocolate chip cookies and 25% of the total number of cookies are chocolate chip cookies.

Therefore, the total number of cookies Paul has is 6 / 0.25 = 24 cookies.

Answer these 2 pls there are math questions

Answers

Answer:

x = 50°

d = 40°

Step-by-step explanation:

Angle sum property of quadrilateral:

  Quadrilaterals are four-sided polygon and the sum of all the interior angles is 360°

      Sum of all angles of quadrilateral = 360°

                    60° + x + 3x + 2x = 360

                                  60 + 6x = 360

Subtract 60 from both sides,

                                          6x = 360 - 60

                                          6x = 300

Divide both sides by 6

                                            x = 300 ÷ 6

                                            x = 50°

b)  120° + 110° + 90° + d= 360°

                       320 + d  = 360

   Subtract 320 from both sides,

                                  d = 360 - 320

                                  d = 40°

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