City A and City B had two different temperatures on a particular day. On that day, five times the temperature of City A was 8° C more than three times the temperature of City B. The temperature of City A minus twice the temperature of City B was −4° C. The following system of equations models this scenario: 5x = 8 + 3y x − 2y = −4 What was the temperature of City A and City B on that day? City A was 1° C, and City B was −1° C. City A was 4° C, and City B was 4° C. City A was 7° C, and City B was 9° C. City A was 10° C, and City B was 14° C.

The domain and the range for each function, considering the three notations, are given as follows:

1.

Domain:

Range:

2.

Domain:

Range:

The domain of a function is the set containing all the input values of a function, hence on the graph it is given by the values of x for which the function is defined.

The range of a function is the set containing all the output values of a function, hence on the graph it is given by the values of y which the function assumes.

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The measure of the missing length of the triangle is 16 units.

According to the question,

We have the following information:

We have a figure of right-angled triangle where two sides are given.

In order to find the third side of this triangle, we will use the Pythagoras theorem.

So, we have the following expression:

[tex]AC^{2} = AB^{2} + BC^{2}[/tex]

[tex](20)^{2} = AB^{2} + (12)^{2}[/tex]

400 = [tex]AB^{2}[/tex] + 144

Subtracting 144 from both sides of the equation:

[tex]AB^{2}[/tex] = 400-144

[tex]AB^{2}[/tex] = 256

We know that the square root of 256 is 16 or in other words, the square of 16 is 256.

AB = 16 units

Hence, the measure of the missing length of the triangle is 16 units.

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Answer:

Step-by-step explanation:

12x-20

Answer:

Answer: 4 ∙ 3x - 4 ∙ 5

Step-by-step explanation:

The student solved the equation and determined that the solution was -2. This is wrong as the solution is 0.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

This will be illustrated as:

1.5x - 2 = -2

Collect like terms

1.5x = - 2 + 2

1.5x = 0

Divide

x = 0/1.5

x = 0.

Therefore, the student is wrong.

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The conversion of 230.2 g to metric ton is given by 0.0002302 metric tons.

Grams (g) and metric ton (MT) are the SI units of mass. Scientist measure various things with different units. The following are measures and their units;

Convert metric ton to grams:

1 metric ton = 1,000,000 grams

230.2 g = 230.2 ÷ 1,000,000

= 0.0002302 metric tons

Therefore, it can be said that 230.2 g is equivalent to 0.0002302 metric tons

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The Median and the modal sales is 45 and 49 respectively.

A median simply means the middle number when the number are arranged in ascending order. The mode is the number that appears most.

Since the number of sales of cars sold from January to November are 28, 20, 49, 29, 38, 40, 45, 49, 50, 55 and 60, this will be arranged as:

20, 28, 29, 38, 40, 45, 49, 49, 50, 55, 60

Therefore, the middle number is 45 and mode is 49.

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Proved that ΔXYW ≅ ΔZYW

Consider the two triangles triangle XYW and triangle ZYW

According to SAS congruent rule if 2 sides and one angle of the one triangle is equal to the 2 sides and one angles of the another triangle, then both the triangles are congruent

The length of the side XY = The length of the side ZY

The line YW bisect the angle XYZ

Then the measure of angle XYW = The measure of angle ZYW

The length of the YW is common

Therefore the 2 sides and one angle of the triangle XYW is equal to the 2 sides and one angle of the triangle ZYW

Then the  triangles XYW and triangle ZYW are congruent

Hence, proved that ΔXYW ≅ ΔZYW

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The constant of proportionality in both situations is 4.5

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship. Other names for the constant of proportionality include the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

The equation of constant of proportionality is given as

y = kx

Let's take the variable and substitute them

18 = k(4)

k = 18 / 4

k = 4.5

The constant is 4.5

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The markup amount of the purchase is $1114

From the question, we have the following parameters that can be used in our computation:

Discount = 30%

Selling price = $780

The markup amount is calculated using the following equation

Selling price = Markup amount * (1 - discount)

Make the markup the subject

Markup = Selling price/(1 - discount)

Substitute the known values in the above equation, so, we have the following representation

Markup = 780/(1 - 30%)

Evaluate

Markup = 1114

Hence, the markup is $1114

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Answer:

[tex]h=\frac{f}{9g}[/tex]

Step-by-step explanation:

Divide both sides by [tex]9g[/tex].

Answer:

She can make 12 cups of sugar for 18 pies

Step-by-step explanation:because 6x3=18 so you multiply  4x3 to get 12, she need 12 cups of sugar for 18 pies or 18 pies with 6 cups of sugar

Tell me if it is wrong in the comment

Thank you.

The probability that Jordan will win in three or fewer matches if they play 5 matches using binomial probability distribution is; 0.95636

The binomial probability is defined as the probability of exactly x successes on n repeated trials, with p probability.

The general formula for binomial probability distribution is;

P(X = x) = nCx * p^(x) * (1 - p)^(n - x)

where;

Px = the probability of exactly x events occurring

x = the number of expected successful outcomes

n = the number of trials you perform

nCx = the number of different combinations for x items you test in n trials

We are given probability that Jordan wins the match as 1/3. Thus;

p = 1/3 = 0.333

Thus, probability that Jordan will win in three or fewer matches if they play 5 matches is;

P(X ≤ 3) = P(0) + P(1) + P(2) + P(3)

From online binomial probability calculator, we have;

P(X ≤ 3) = 0.95636

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Answer:

-9

Step-by-step explanation:

From the scores on the diagram we can tell that the arrow first stand on the point -3 and then on the point -6.

If we add -6 to -3 the product will be:

(-3) + (-6) = -9

The answer in blocks will be (-3) and (-6)

If we add -6 to -3 the product will be:

(-3) + (-6) = -9

Given,

In the question:

Fill in the blanks to complete the equation that describes the diagram.

Now, According to the question:

From the scores on the diagram we can tell that the arrow first stand on the point -3 and then on the point -6.

If we add -6 to -3 the product will be:

(-3) + (-6) = -9

What is Number line ?

A number line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, plotting a point.

Hence, The answer in blocks will be (-3) and (-6)

If we add -6 to -3 the product will be:

(-3) + (-6) = -9.

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The value of 198.02 percent of £83.02 is £164.40

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

The value will be illustrated thus:

198.02% × £83.02

= 1.9802 × £83.02

= £164.3962

= £164.40

The value is £164.40.

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The linear equation that represents the number of words Nebi types per minutes after the timer is started is: w = 50m + 250.

Linear equation can be written in the slope-intercept form as y = kx + b. To write this, find the values of the slope = m, and the y-intercept of starting value = b.

From the equation given, find the unit rate/slope, which is the number of words typed in one minute.

Thus, we have:

Slope/unit rate (m) = 150/3

m = 50 words per minute.

The y-intercept (b) is 250, because it is the initial/starting value.

Let w represent the total number of words, and m represents the minutes after the starting time.

To write the linear equation, substitute k = 50 and b = 250 into w = km + b:

w = 50m + 250

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Answer:

133 m^2

Step-by-step explanation:

to find are of a circle it’s r^2 times pi

6^2 x pi

36 pi

113 m^2

Hopes this helps please mark brainliest

Answer:

Answer C is correct

Step-by-step explanation:

The formula to find the area of a circle is:

A = πr²

Here,

r => radius = 6m

Let us find the area of the circle.

A = πr²

A = 3.14 × 6 × 6

A = 113.04 m²

Approx. = 113m²

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, the statement that could be true for g is: D. g(-13) = 20.

In Mathematics, a range can be defined as the set of all real numbers that connects with the elements of a domain.

From the information provided, the domain and range of this function g(x) in interval notation is given by:

Function g(0) = 2 is false because it was stated that g(0) = -2. Also, g(-4) = -11 is outside the scope of the given range for this function.

Furthermore, function g(7) = -1 is not within the domain for the given function. However, g(-13) = 20 is within the domain for the given function and produces an output that is within the scope of the given range for this function.

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The simplified fraction and the original fraction have the same value. Option D is correct.

Given that,
To justify, how is a fraction related to its simplified form.

Fraction is defined as the number of compositions that constitute the Whole.

Here,
The value of the fraction does not change when it is brought into a simplified form.

Thus, the simplified fraction and the original fraction have the same value. Option D is correct.

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The amount of raisins that Ben will mix if he wants to make a larger batch is 21 ounces of raisins

The amount is determined by comparing the trial mix used

Initially, 8 ounces of peanuts, 6 ounces of raisins, and 10 ounces of chocolate candies. This has a ratio of

peanut : raisins : chocolate

8 : 6 : 10

If 8 ounces of peanuts was used with 6 ounces of raisins, 28 ounces of peanuts wall be mixed with ? raisins

8 peanuts  = 6 raisins

28 peanuts = ? raisins

? = 28 * 6 / 8

? = 21 ounces of raisins

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Answer: 32 km

Step-by-step explanation:

Set the unknown value as x and use proportions to find the answer:

[tex]\frac{72}{90} =\frac{x}{40} \\\\90x=72*40\\\\x=\frac{72*40}{90} =32[/tex]

Answer:

B

Step-by-step explanation:

The distance between the lines stays constant, and they never intersect. In other words, you can translate (move) either line by that constant distance, in some direction, to get the other line. It's just like how when you change the y-intercept but keep the slope the same, you get parallel lines.

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Answer:

do the brackets first the solve the division then multiply both

The slope is 3. The line is going up 3 and right 1. If it were the other way around, up 1 and right 3, that would be a slope of 1/3.

But the slope is 3.

As per the given angle of elevation, the height of the building is 368.5 ft.

Angle of elevation:

Basically, an angle between the horizontal plane and line of sight from the observer's eye to some object above is known as angle of elevation.

Given,

The angle of elevation to the top of a Building in New York is found to be 2 degrees from the ground at a distance of 2 miles from the base of the building.

Here we need to find the height of the building and round to the tenths.

Here we know that the angle of elevation of the building in New York is written as,

=> θ = 2°

And the distance of observation point from the building is given as,

=> l = 2 miles

Here we know that, 1 miles = 5280 feet

So, the value of l in feet is,

=> l = 2 x 5280

=> l = 10560

Now, it is required to calculate the height of the building. Use the concept of trigonometry to find the height,

So, the height is calculated as,

=> tan θ =h/l

Apply the values on the formula, then we get,

=> tan 2° = h/10560

=> 0.0349 = h/10560

=> h = 0.0349 x 10560

=> h = 368.5 feet.

Therefore, the height of the building is 368.5 ft.

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[tex]\stackrel{\textit{\LARGE arithmetic mean}}{\cfrac{14+7+10+5}{\underset{\textit{number of data elements}}{4}}\implies \cfrac{36}{4}\implies \text{\LARGE 9}}[/tex]

Answer:

the mean is 9 .

Step-by-step explanation:

i did this & got it correct .

As per the concept of unitary method, there are 180.8 ml of the 65% mixture will you need to add to obtain the desired solution

Unitary method:

Basically, the way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.

Given,

You need a 35% alcohol solution. On hand, you have a 300 mL of a 20% alcohol mixture. You also have 65% alcohol mixture.

Here we need to find how much of the 65% mixture will you need to add to obtain the desired solution.

Let us consider x be the amount of the 65%  alcohol needed (in milliliters.

Here the amount of the resulting 65%  alcohol solution will be is (x+15) milliliters.

So, the amount of the "pure" alcohol in 300 mL of the 20% alcohol solution is written as,

=> 0.20 x 300 mL.

And the amount of the "pure" alcohol in x mL of the 65% alcohol solution is written as,

=> 0.65 * x mL.

Therefore, the total amount of the "pure" alcohol in ingredients is the sum  and it can be calculated as,

=> 0.20*300 + 0.65*x mL.

So, it should be equal to the amount of the "pure" alcohol in the mixture, which is written as,

=> 0.35 * (x+15) ml.

Therefore, your "pure alcohol" equation is

=> 0.65* x + 0.20 * 300 = 0.35*(x+15).

When we simplify this one then we get the value of x as,

=> 0.65* x + 0.20 * 300 = 0.35*(x+15).

=> 0.65x + 60 = 0.35x + 5.25

=> 0.3x + 54.25

=> x = 180.8

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