50 milliliters (ml) is equivalent to 1.69 fluid ounces (oz). To convert milliliters to fluid ounces, you need to use the conversion factor of 0.03381402 fluid ounces per milliliter.
This means that you can multiply the number of milliliters by this conversion factor to get the equivalent volume in fluid ounces. The conversion between milliliters and fluid ounces is commonly used in the measurement of liquids, especially in cooking and baking recipes.
Some recipes may use milliliters as the standard unit of measurement, while others may use fluid ounces or other units. Being able to convert between different units of measurement is important to ensure accurate measurement and a successful outcome in the recipe.
It's worth noting that fluid ounces are a measure of volume, while ounces can also be a measure of weight. In the United States, fluid ounces are commonly used to measure the volume of liquids, while ounces are used to measure the weight of both solids and liquids.
In summary, 50 milliliters is equal to 1.69 fluid ounces, and understanding how to convert between different units of measurement is important in cooking, baking, and other applications that involve measuring liquids.
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Convert 52 degrees to degrees Celsius. If necessary, round your answer to the nearest 10th of a degree. Here are the formulas.
The conversion of 52 degree F into Celsius is 11.11 Degree Celsius.
What is Unit Conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given:
C= 5/9 (F- 32)
and, F = 9/5C + 32
We have F= 52 F put the value to Celsius Formula
C = 5/9 (52- 32)
C = 5/9 (20)
C = 100/ 9
C= 11.11
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ABKR is shown, where D, P, and H are the midpoints
and the perimeter of ADPH is 23.5. DP = 17x,
PH = (6x + 5), and HD = 20x - 3.
Now that we know the value of x, we can find the values of DP, PH, and HD:
DP = 17x = 17(0.295) = 5.015
PH = 6x + 5 = 6(0.295) + 5 = 6.77
HD = 20x - 3 = 20(0.295) - 3 = 2.9
Therefore, DP ≈ 5.015, PH ≈ 6.77, and HD ≈ 2.9.
How is perimeter defined in math?The perimeter of a form is its edge's radius. Learn how to multiply the lengths of a shape's sides to determine its perimeter.
To solve this problem, we need to use the fact that the perimeter of ADPH is 23.5. We know that AD = DP + HD, and we also know the values of DP, PH, and HD in terms of x. So, we can set up an equation using these values and solve for x.
AD = DP + HD
AD = 17x + (20x - 3)
AD = 37x - 3
Perimeter of ADPH = AD + DP + PH + HD
23.5 = (37x - 3) + 17x + (6x + 5) + (20x - 3)
Simplifying the above equation, we get:
23.5 = 80x - 1
Solving for x, we get:
x = 0.295
Now that we know the value of x, we can find the values of DP, PH, and HD:
DP = 17x = 17(0.295) = 5.015
PH = 6x + 5 = 6(0.295) + 5 = 6.77
HD = 20x - 3 = 20(0.295) - 3 = 2.9
Therefore, DP ≈ 5.015, PH ≈ 6.77, and HD ≈ 2.9.
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1 pts
A box with an open top is formed by cutting squares
out of the corners of a rectangular piece of cardboard
and then folding up the sides. If x represents the
length of the side of the square cut from each corner,
and if the original piece of cardboard is 15 inches by
13 inches, what size square must be cut if the volume
of the box is to be 189 cubic inches?
Use: length: (15-2x)
Width: (132z)
Height: x
The square that must be cut from each corner of the cardboard to form a box with a volume of 189 cubic inches is 3 inches on each.
What is square?Four equal sides and four right angles make up the two-dimensional shape known as the square. It is one of the most prevalent geometric shapes. There are a variety of useful applications for squares, including constructing tiling, patterns, and grids.
Given:
Length = 15 - 2x
Width = 13 - 2x
So, volume = lwh
189 = (15- 2x) (13 -2x) x
189 = (195 - 30x - 26x + 4x²)x
195x -56x² + 4x³ = 189
4x³ - 56x² + 195x - 189 = 0
On solving the cubic equation we get
x= 1.69, 3 and 9.3
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Evaluate: E^10n=1 8(1/4)^n-1=[?]
Therefore, the value of the expression E¹⁰ⁿ=1 8(1/4)ⁿ⁻¹ is 27.
What is fraction?A fraction is a way of representing a part of a whole or a ratio between two quantities. It is written as two numbers, one above the other, with a horizontal line separating them. The number above the line is called the numerator and the number below the line is called the denominator. For example, the fraction 3/4 represents three parts out of four equal parts, or the ratio of three to four. Fractions can be used to represent a wide range of values, including numbers between whole numbers (such as 1/2 or 3/5), ratios between quantities (such as 2/3 cups of flour to 1 cup of sugar), and percentages (such as 75/100, which is equivalent to 75%, or three-quarters). Fractions are an important concept in mathematics and are used in many different contexts, such as in cooking, measurement, and finance.
Here,
The expression E¹⁰ⁿ=1 8(1/4)ⁿ⁻¹ means we need to evaluate the sum of the expression 8(1/4)ⁿ⁻¹, as n ranges from 1 to 10.
To do this, we can simply substitute each value of n into the expression and add up the results. Here are the first few terms of the sum:
n = 1: 8(1/4)⁰ = 8
n = 2: 8(1/4)¹ = 2
n = 3: 8(1/4)² = 1/2
n = 4: 8(1/4)³= 1/8
We can continue this pattern for the remaining values of n, and then add up all the terms:
8 + 2 + 1/2 + 1/8 + ... + (1/4)⁹
To simplify this expression, we can use the formula for the sum of a geometric series:
S = a(1 - rⁿ) / (1 - r)
where S is the sum of the series, a is the first term, r is the common ratio, and n is the number of terms.
In this case, the first term is 8, the common ratio is 1/4, and there are 10 terms. So we can substitute these values into the formula to get:
S = 8(1 - (1/4)¹⁰) / (1 - 1/4)
S = 8(1 - 1/1048576) / (3/4)
S = 8(1048575/1048576) * (4/3)
S = 8 * (3495250/1048576)
S = 27
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3 dotted horizontal and parallel lines are shown. Point Q is at the far left side of the top line, point R is at the far right of the second line, and point S is at the far left side of the bottom line. Lines are drawn from point Q to point R and from point R to point S. The angles formed are labeled, from top to bottom: 1, 2, 3, 4.
Use the diagram to complete the statements.
The angle of depression from point R to point S is angle
.
The angle of elevation from point S to point R is angle
.
Angle 2 is the angle of elevation from
.
Angle 1 is the angle o
The angle of depression from point R to point S is ∠3.
The angle of elevation from point S to point R is ∠4.
∠2 is the angle of elevation from point R to Q
∠1 is the angle of depression from point Q to R.
What is an angle of elevation?
The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.
From the the diagram it can be stated that:
The angle of depression from point R to point S is ∠3.
The angle of elevation from point S to point R is ∠4.
∠2 is the angle of elevation from point R to Q
∠1 is the angle of depression from point Q to R.
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Square root of 2.75?
Answer: 1.65831239518
Step-by-step explanation:
The square root of 2.75 is defined as the only positive real number such that, multiplied by itself, it is equal to 2.75.The square root of 2.75 can be written as
(2.75)1/2. So,(2.75)1/2 = (1.6583123951777 × 1.6583123951777)1/2(2.75)1/2 = [(1.6583123951777)2]1/2(2.75)1/2 = (1.6583123951777)2/2(2.75)1/2 = (1.6583123951777)1Thus,√2.75 = 1.6583123951777
What is the conversion of 32c to f ?
The value which is converted from Celsius to Fahrenheit is given by 38 Celsius is equal to 89.6 Fahrenheit.
Units which represents the measurement of the temperature in standard form Celsius and Fahrenheit .
Formula which relates the Celsius and Fahrenheit are given by
(°C × 9/5) + 32 =°F
Now Substitute the value 32 Celsius which needs to convert into Fahrenheit we get,
(32°C × 9/5) + 32
= ( 288 / 5 ) + 32
= ( 57.6 ) + 32
= 89.6°F
Therefore, the converted value from Celsius to Fahrenheit for the given 32 Celsius is given by 89.6 Fahrenheit.
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The above question is incomplete , the complete question is:
What is the conversion of 32°C to °F ?
The median number of points scored by
players in a basketball game is
The range of the numbers of points scored by the same basketball players in the same game is
The possibility of any other range other than 13-6 through 17-10 with several recurring values (mode) is not possible because mean 12 is the median. Hence, I went with 16 and 9.
What is mean?The mean of a dataset, sometimes referred to as the arithmetic mean, is the sum of all results multiplied by the number of values . This is the most popular way to measure central tendency and is sometimes refereed to as the "mean." This is obtained by dividing the total total of values within the dataset by the sum of the values. Calculations may be performed using both raw data and information that has been compiled into frequency tables. The average of a number is referred to as average. Calculating the following is easy: After adding all the digits, divide by the number of digits. the sum split by the count.
The query is not complete. It would still be 9 and 16 if the question asked for the two numbers that may represent the lowest and highest scores.
9 numbers in total. List them in descending order. Your Median is the middle number. The gap between the greatest and the lowest number called the range. The probabilities are therefore 8-1, 9-2, 10-3, 11-4, 12-5, 13-6, 14-7, 15-8, 16-9, 17-10, 18-11, and 19-12. The possibility of any other range other than 13-6 through 17-10 with several recurring values (mode) is not possible because 12 is the median. Hence, I went with 16 and 9.
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Round off 836534 into 2 SD.
The rounded off form of the number 836534 into 2 Significantly digits as required is; 840000.
What is the rounded off form of 836534 into 2 SD?It follows from the task content that the number 836534 is to be rounded into 2 significant digits as required.
On this note, since the given number is; 836534.
The 2 greatest place value digits are 8 and 3. Hence, the third digit is considered to round the number off.
Since the third digit is 6, it is rounded to 1 and added to 3 so that the rounded off form of the given number to 2 SD is; 840000.
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Rounding off 836534 into 2 significant fiqure will give us 840000.
How can we ound Off?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off.
Round up if the number you're rounding has a 5, 6, 7, 8, or 9. For instance, 30 is equal to 28, rounded to the nearest tens place. Round down if the number you are rounding has a 0, 1, 2, 3, or 4 after it. For instance, 10 is the result of rounding 13 to the nearest ten.
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What is the area of the trapezoid?
17.4 m2
20.3 m2
40.6 m2
69.6 m2
Answer: 40.6
Step-by-step explanation:
first you write the formula (a= a+b divided by 2 times h)
11+3 divided by 2 times 5.8
14 divided by 2 = 7 times 5.8
The correct answer is 40.6
how to convert 1m to inches?
One meter is equal to 39.3701 inches
To convert 1 meter to inches, we can use the following formula:
1 meter = 39.3701 inches
The conversion factor is 39.3701
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
Therefore,
The length in inches = conversion factor × The length in meter
Substitute the values in the equation
1 meter = 39.3701 × 1
Multiply the numbers
= 39.3701 inches ( rounded to four decimal places )
Therefore, one meter is 39.3701 inches
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Wendell is working with the equation y=1.6^(x-1)+20 in a science class that represents the growth of a certain population of bacteria. Wendell could insert a 11 into this equation and get an answer of 129.95. So Wendell knows that after 11 days there would be a population of about 129.95 bacteria. Wendell would really love an equation that tells him the reverse of this (the inverse). Meaning Wendell could put a 129.95 into the equation and get 11 out as the answer. Create the inverse function and explain everything that you did to create this. If you simply give the correct answer without any explanation it will be marked incorrect. Three hints: It has something to do with logs. A graphical approach to this would be to graph the original, ask yourself how the "minus 1" and "plus 20" shifted the graph, and then think about how the inverse needs to adjust. An algebraic approach would be to swap the x and y values of the original and go from there. Either way, check your answer when you're done!
The inverse function of the given function which gives the value of the number of days when the population of bacteria is known is:
f ⁻¹(x) = log₁.₆(1.6x - 32)
What is an inverse function?
A function takes in values, applies specific operations to them, and produces an output. The inverse function acts, agrees with the outcome, and returns to the initial function. The output of a function is returned by the inverse function, which also returns the initial value. A function that can reverse into another function is known as an inverse function or anti function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y.
The given function is:
[tex]f(x) = 1.6^{x-1} + 20\\[/tex]
[tex]y = 1.6^{x-1} + 20\\[/tex]
Now we are asked to find the inverse of this function.
That is, we have to write x in terms of y.
And then substitute the y back with x, to write as an inverse function
f ⁻¹(x).
[tex]y = 1.6^{x-1} + 20\\[/tex]
y - 20 = [tex]1.6^{x-1}[/tex]
y-20 = 1.6ˣ / 1.6
1.6y - 1.6 * 20 = 1.6ˣ
1.6y - 32 = 1.6ˣ
x = log₁.₆(1.6y - 32)
Therefore the inverse function of the given function which gives the value of the number of days when the population of bacteria is known is:
f ⁻¹(x) = log₁.₆(1.6x - 32)
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what information can the chi‑square goodness‑of‑fit test provide?
The chi-square goodness-of-fit test can provide important information about whether the observed data significantly deviates from the expected distribution, which categories or bins contribute to the deviation, and the overall goodness-of-fit of the data to the expected distribution.
The chi-square goodness-of-fit test is a statistical test used to determine if a sample of data comes from a population with a specific distribution. Specifically, the test compares the observed frequencies of data in different categories or bins with the expected frequencies of data in those categories based on a hypothesized distribution.
It can determine whether the observed data significantly deviates from the expected distribution. If the test results in a p-value less than the chosen level of significance, it indicates that the observed data significantly deviates from the expected distribution, and the null hypothesis (that the data follows the expected distribution) can be rejected.
It can identify which categories or bins contribute the most to any significant deviation. The test statistic and associated p-value can help to identify which categories or bins show significant differences between the observed and expected frequencies.
It can provide information on the overall goodness-of-fit of the data to the expected distribution. The test statistic provides a measure of the overall goodness-of-fit, with higher values indicating greater deviation from the expected distribution.
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What is the conversion of 15 cm to inch ?
The value of centimeter to inches is converted by the conversion factor of 2.54 so 15 cm is 5.9 inches.
The conversion factor of 0.393701 can be used to change a measurement from centimetres (cm) to inches (in). To find the number of inches, multiply the number of centimetres by 0.393701. In this instance, 11.42 inches are equal to 29 cm multiplied by 0.393701.
It's crucial to remember that this conversion is based on the International System of Units (SI), and it could not be the same in other measurement systems. Also, it is important to remember that centimetres (cm) and inches (in) are units of measurement for length and not for other types of measures like mass, area, or volume.
Use the proper unit of measurement for the activity or the environment; failing to do so could result in mistakes and inaccurate results. Also, it's crucial to ensure that the measurements are taken on the same scale, as doing otherwise could result in inaccurate conversions. While inches are primarily utilised in the United States and the United Kingdom, centimetres are extensively used across the rest of the world.
When determining smaller lengths or widths, such as for clothing or paper size measurements, this conversion is frequently used.
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What is the conversion of 6,25% as a fraction?
After converting 6.25% into fraction we get 16/256 or 1/16.
The percentage means divied by hundred.
A fraction consists of two parts one is the numerator and other is denominator.
Where the number which is written in upper most part of the line is called numerator, and the number bottom most part of the line is called denominator.
To convert a percentage into a fraction divide the percentage by 100,
And simplify the resulting fraction.
So,
To convert 6.25% to a fraction,
We divide 6.25 by 100:
6.25% ÷ 100 = 0.0625
Divide by 0.0625
0.0625 ÷ 0.0625 = 1
1 ÷ 0.0625 = 16
Therefore, After simplification 6.25% is equal to 16/256 or 1/16.
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in one school, each class has 23 students and 1 teacher. how many total people are there in 10 classes
Answer: 240 people
Step-by-step explanation:
If each class has 23 students and 1 teacher then there are a total of 24 people in each class. Multiply that by 10 classes, you should get 240 people.
how to convert 30cm to in?
30 centimeter is approximately equal to 11.8110 inches ( rounded to four decimal places )
To convert 30 cm to inches, we can use the following formula:
1 cm = 0.393701 inches
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
Therefore,
The length in inches = conversion factor × The length in centimeter
Substitute the values in the equation
30 cm = 30 x 0.393701
Multiply the numbers
= 11.8110 inches ( rounded to four decimal places )
Therefore, 30 centimeter is 11.8110 inches
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Given the figure below find the values of x and z.
(ANY IMPROPER ANSWERS WILL BE REPORTED)
Answer:
x = 14°
z = 74°
Step-by-step explanation:
10x - 34° = 106° ( A.I.A )
x = 72°
106° + z = 180° ( linear pair axiom )
z = 74°
MARK ME AS BRAINILIST
Answer:
x=14°
z= 74°
Step-by-step explanation:
Here
(10x-34)°= 106°
since the Vertically Opposite Angle are equal.
so solving for it.
First, we can add 34° to both sides of the equation to get:
10x° - 34°+ 34° = 106° + 34°
Simplifying the left side gives:
10x° = 140°
Then we can divide both sides of the equation by 10 to get:
x = 14°
Again
z+106°=180°
since the sum of angle in the linear pair is equal to 180°
solving for it
we can subtract 106° from both sides of the equation to get:
z + 106° - 106° = 180° - 106°
Simplifying the left side gives:
z = 74°
Somebody please help :Write an equation that is perpendicular to x - 3y = 3 and passes through the point (5, -9) in
in with test.
Oy = 3x - 6
Oy=-3x + 6
O y = 1/3 x + 1
Oy=1/3x -1
Answer:
y = - 3x + 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
x - 3y = 3 ( subtract x from both sides )
- 3y = - x + 3 ( divide through by - 3 )
y = [tex]\frac{1}{3}[/tex] x - 1 ← in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , then
y = - 3x + c ← is the partial equation
to find c substitute (5, - 9 ) into the partial equation
- 9 = - 3(5) + c = - 15 + c ( add 15 to both sides )
6 = c
y = - 3x + 6 ← equation of perpendicular line
I need help on a few questions
Answer:
Q1: [tex]y\leq -x^2+5x-4[/tex]
Q2: [-3/2,1/4]
Q3: [-4,3]
Step-by-step explanation:
Randomization in an experiment is important because it ensures that:________
Randomization in an experiment is important because it ensures that the results achieved are accurate .
Randomization in an experiment refers to a random assignment of participants to the treatment in an experiment .
Randomizing the experiments can help you get the best cause-effect relationships among the variables. It helps in controlling the lurking variables . These variables can affect the results to be different from what they are supposed to be . Randomization prevents biases and makes the results fair.
For ensuring that the information obtained from the experiment is correct, A randomized experiment is perfect to help us .
Researchers control values of the explanatory variable with a randomization procedure. So, if we see a relationship between the explanatory variable and response variables, we can say that it is a causal one.
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MaryAnn is printing photos from her recent trip to Europe. An online print shop charges $0.15 per 4x6-inch print, along with a $3.00 fee shipping charge. If MaryAnn has $35 to spend, how many prints can she order?
MaryAnn can order a total of 213 prints for cost $35, including shipping.
Each print costs $0.15, so MaryAnn can order $35/$0.15 = 233.33 prints, but since she can only order whole prints, she can order a maximum of 233 prints.
The shipping charge is a flat fee of $3.00 per order, regardless of how many prints MaryAnn orders.
Let's say MaryAnn orders x prints, then her total cost would be:
Cost = $0.15 x + $3.00
Since her total cost can't exceed her budget of $35, we can set up the following inequality:
$0.15 x + $3.00 ≤ $35.00
Subtracting $3.00 from both sides, we get:
$0.15 x ≤ $32.00
Dividing both sides by $0.15, we get:
x ≤ 213.33
Since MaryAnn can only order whole prints, she can order a maximum of 213 prints.
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what is calculator of simplifying fractions
A calculator for simplifying fractions is a tool that can be used to reduce a fraction to its simplest form or lowest terms.
The process of simplifying a fraction involves finding the greatest common factor of the numerator and the denominator and then dividing both by that factor. This results in a fraction that has been simplified as much as possible. A calculator of simplifying fractions can perform this calculation automatically, making it a quick and easy way to simplify fractions.
This tool can be especially helpful for those who struggle with math, or for those who need to perform a large number of calculations quickly and accurately. Many online calculators are available for free and can simplify fractions in seconds.
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2+2 pls help i will really apericate it i need help so badly
Answer:
4
Step-by-step explanation:
4
Wally is employed as an executive with Pay More Incorporated. To entice Wally to work for Pay More, the corporation loaned him $20,000 at the beginning of the year at a simple interest rate of 1 percent. Wally would have paid interest of $2,400 this year if the interest rate on the loan had been set at the prevailing federal interest rate.b. Assume instead that Pay More forgave the loan and interest on December 31. What amount of gross income does Wally recognize this year?
Answer:18000$
Step-by-step explanation:
Please help me 50 points I’ve been struggling for so long..
Clayton hiked to the bottom of El Dorado canyon and spent some time exploring when he got there. Then, he hiked back to the top. This graph shows Clayton's elevation above sea level over time.
Increasing from minute 0 to 25
True or false
Constant from minute 25 to 60
True or false
Decreasing from minute 60 to 90
True or false
I’m so lost please help
Answer
True, True, False
Step-by-step explanation:
I am not quite sure but I hope this helps in any way.
I say True to the Increasing from minute to 25 because Clayton’s time starts at 0 and the time increases to 25 minutes.
I say True because if you see the point where it shows 25 minutes and stops at 60 minutes until Clayton goes back up, it shows the line regularly occurring which would make him be constantly moving to 60 minutes. (Constant means to regularly occur)
I say false because Clayton’s time is increasing into 90 minutes, not decreasing. Also its kinda like the same concept as the Increasing from minute 0 to 25.
Maria kept a log of the number of miles she jogged each time she went for a run as she trained for an upcoming marathon. She displayed the logged runs in the histogram below.
A histogram titled Maria's Monthly Jogging has miles run on the x-axis and number of runs on the y-axis. 1 to 1.99 miles is 2 runs; 2 to 2.99 miles is 5 runs; 3 to 3.99 miles is 5 runs; 4 to 4.99 miles is 3 runs; 5 to 5.99 miles is 4 runs; 6 to 6.99 miles is 7 runs; 7 to 7.99 miles is 4 runs.
What is the range of the number of miles Maria jogged?
0 to 7
0 to 7.99
1 to 7.99
1 to 8
The range of the number of miles Maria jogged is 1 to 7.99
C. 1 to 7.99
What is the histogram?
A histogram is a graph used to represent the frequency distribution of a few data Set of one variable.
Let's recall that for calculating the range of a data set, we have to find out the lowest and the highest values of the data set.
As we can see in the graph below, the lowest value in the histogram is 1 and the highest is 7.99, therefore the correct answer is:
Hence, the range of the number of miles Maria jogged is 1 to 7.99
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Express the following fraction in simplest form using only positive exponents. \frac{12u^{10}}{4(u^{3})^4}
4(u
3
)
4
12u
10
The simplified form of the fraction is 3/u², where u is a positive real number.To simplify this fraction, we can first simplify the denominator by using the exponent rule that says: [tex](a^{m}) ^{n} =(a^{m*n})[/tex]. Applying this rule, we get:
4(u³)⁴ = 4u³*⁴ = 4u¹²
Now, we can substitute this value back into the original fraction and simplify further:
(12u¹⁰)/(4(u³)⁴) = (12u¹⁰)/(4u¹²)
We can simplify the fraction further by dividing both the numerator and the denominator by the greatest common factor (GCF) of 12 and 4, which is 4. Also, we can simplify the exponent by using the exponent rule that says: [tex]\frac{a^{m} }{a^{n}} =a^{m-n}[/tex]. Applying these steps, we get:
(12u¹⁰)/(4u¹²) = (3u¹⁰)/(u¹²) = 3/u²
Therefore, the simplified form of the fraction is 3/u², where u is a positive real number.
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Please complete problems 2 and 3.
- Show your work.
- Label each answer
Please, refer to the attached image
The values of the variables are x = 38 and x = 14
How to determine the values of the variablesTriangle 1
From the question, we have the following parameters that can be used in our computation:
The triangle
Where, we have
x - 2 : 27 = 4 : 3
This gives
(x - 2)/27 = 4/3
This gives
x - 2 = 36
This gives
x = 38
Triangle 2
Here, we have
13/3x = 7/(2x - 5)
Cross multiply
26x - 70 = 21x
So, we have
5x = 70
Divide
x = 14
Hence, the value of x is 14
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The Pickle Family had 10 1/2 pounds of candy to fill 4 pinatas. Each pinata would have 6 kids sharing the candy that fell from it. How much candy would each child get?
Each child would get 7/8 of a pound of candy from each pinata.
To find out how much candy each child would get, we need to first determine the total amount of candy in all four pinatas, and then divide that amount by the total number of kids who will be sharing the candy.
To start, we can convert the 10 1/2 pounds of candy into a mixed fraction:
10 1/2 = 10 + 1/2 = 20/2 + 1/2 = 21/2
So the Pickle Family had 21/2 pounds of candy to fill the pinata.
To find out how much candy each piñata would have, we can divide the total amount of candy by the number of piñatas:
21/2 ÷ 4 = 21/2 × 1/4 = 21/8
So each pinata would have 21/8 pounds of candy.
Now we need to determine how much candy each child would get. Since each pinata will be shared among 6 kids, we can divide the amount of candy in each pinata by 6:
21/8 ÷ 6 = 21/8 × 1/6
= 7/8
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