Carol brought 4 pies to a party. Each serving of pie is 1/8 of an entire pie. How many servings of pie did Carol bring to the party?

Answer: 35/4

Step-by-step explanation:

7/11 ÷ 4/5 》7/11 × 5/4 = 35/44

Therefore the width of the rectangle is 33 yards

length of the rectangle is 196 yards.

Let the width of the rectangle be 'x'

Given the length of the rectangle = 35 yards less than 7 times the width

                                                          = 7x - 35

Given the area of rectangle = 6468 square yards

We know that area of rectangle = length * width

                                                       = (7x - 35 ) * x

By comparing both we get,

(7x - 35) * x = 6468

7x² - 35x - 6468 = 0

By dividing the equation by '7' we get

x² - 5x - 924 = 0

Factorize the above equation we get

x² - 33x + 28x - 924 = 0

x ( x - 33) +28 (x - 33 ) = 0

( x - 33 ) ( x + 28 ) = 0

∴ x = 33 , -28

Negative values are not consider

Therefore the width of the rectangle is 33 yards

length of the rectangle = 7(33) - 35

                                        = 231 - 35

                                        = 196 yards

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Answer: i think it might be 72

Answer:72

Step-by-step explanation:

The least common multiple is the smallest common(of equal value) number. we get this number by multiplying the two numbers by a number value till we get a common number between the two.

Hi there,

I hope you and your family are staying safe and healthy!

[tex]-9 (y-13) = 16[/tex]

This is called a linear equation. Let's distribute:

[tex]-9y + 117 = 16[/tex]

Now we need to subtract 117 from both sides

[tex]-9y +117-117=16-117[/tex]

[tex]-9y = -101[/tex]

Now divide both sides by -9

[tex]\frac{-9y}{-9} = \frac{-101}{-9}[/tex]

[tex]y = \frac{101}{9}[/tex]

Happy to help! All the best this semester!

The value of the expression when t=4 is 16

It should be noted that from the information given, it was stated that Mathes purchases 4 tickets for his family.

Therefore, the value of the expression when t=4 will be:

C = 4t

C = 4(4)

C = 4 × 4.

C = 16

Therefore, the value of the expression when t=4 is 16.

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The solution of the equation for y is y = 5 - 2x and the values of y are 9, 5 and -1

The equation is given as

y + 2x = 5

Subtract 2x from both sides of the equation

So, we have

y + 2x - 2x = 5 - 2x

Evaluate the like terms

y = 5 - 2x

Next, we solve the function for the values of x

When x = -2, we have:

y = 5 - 2 * -2

Evaluate

y = 9

When x = 0, we have:

y = 5 - 2 * 0

Evaluate

y = 5

When x = 3, we have:

y = 5 - 2 * 3

Evaluate

y = -1

Hence, the solution of the equation for y is y = 5 - 2x and the values of y are 9, 5 and -1

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The value of y when x = -2 , 0 , 3 are 9, 5 and -1 respectively.

Given the equation;

y + 2x = 5

Make 'y' the subject of formula

y = 5 - 2x    (1)

When x = -2

Let's substitute the value of x as -2 in equation (1)

y = 5 - 2(-2)

expand the bracket

y = 5 + 4

y = 9

When x = 0

Substitute the value of x = 0

y = 5 -2(0)

y = 5 - 0

y = 5

When x = 3

Substitute the value of x = 3

y = 5 - 2(3)

y = 5 - 6

y = -1

Thus, the value of y when x = -2 , 0 , 3 are 9, 5 and -1 respectively.

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The prime factors of 6912 are 2 and 3 and the cube root of 6912 is approximately 19.05 (rounded to 2 decimal places) .

Prime numbers are numbers which do not have any factors other than 1 and itself. For example 7 is a prime number, 37 is a prime number as the factors of 7 are 1 and 7 and the factors of 37 are 1 and 37.

Prime factorization of a number is given by writing all the prime factors of as number in multiplication form.

The prime factorization of 6912 gives:

6912 = 2 × 2 × 2 ×2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 = 2⁸ × 3³

Hence the prime factors of 6912 are 2 and 3.

The cube root of 6912 = 19.0488... ≈ 19.05 (rounded to 2 decimal places)

Therefore the cube root of 6912 is approximately 19.05 .

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Answer:

d

Step-by-step explanation:

Answer:The answer would most likely be c Read the problem carefully,find the question,understand the problem and find out what you know.

The greatest common multiple of 60 and 72 is 6.

The given numbers are 60 and 72.

The greatest common factor (GCF) is a term used to describe the biggest number that can divide evenly into two or more numbers. Sometimes, this is also referred to as the greatest common divisor (GCD) or highest common factor (HCF). A factor is a smaller number that can divide evenly into that number.

Now, 60 = 2×2×3×5 and 72 = 2×2×2×3×3

The common factors are 2 and 3

So, the greatest common factor =2×3=6

Therefore, the greatest common multiple of 60 and 72 is 6.

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Answer:

its c

Step-by-step explanation:

Answer: [tex]-7^2 * 5^4[/tex]

Step-by-step explanation:

Answer:

339.15

Step-by-step explanation:

5% is equal to 1/20, so we can use 1/20 in place of 5%. All that needs to be done is to determine 1/20 of 357 and subtract the result (we subtract because Tapiwa raked more than Adam)

357 x 1/20 = 17.85

357 - 17.85
339.15

Using proportions, it is found that he needs 39.5 grams of protein each day.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

First we have to convert his weight to kg. Each lb has 0.453592 kg, hence his weight in kg is given by:

132 x 0.453592 = 59.87 kg.

Each day, he needs to consume 0.66 g for each kilogram in his body, hence the amount of protein that he needs to consume each day is given by:

0.66 x 59.87 = 39.5.

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Answer: 12 electoral college votes

Step-by-step explanation:

4*100%=

4*100/100=

400/100=4

4*300%=

4*300/100=

1200/100=12 votes

The percentage of observations which we expect to lie between 100 and 200 is 3.38%

Given, the mean is 150 and

standard deviation(sd) = 25

what percentage of observation lie between 100 and 200.

x + 1sd = 175

x - 1sd = 125

x + 2sd = 200

x - 2sd = 100

x + 3sd = 225

x - 3sd = 7

observation between 100 and 200 lie from x + 1sd

Therefore P(x) = (100-175)÷25

= -3

=3.38%

Hence the percentage of observations that lie between 100 and 200 is 3.38%

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Answer:

QR = 11

Step-by-step explanation:

P-Q-R-S

PQ = RS

PS = 23

PR = 17

so RS = PS - PR = 23 - 17 = 6

RS = PQ = 6

QR = PS - (RS + PQ) = 23 - (6 + 6) = 23 - 12 = 11

Answer:

3.69

Step-by-step explanation:

Answer:

3.69

Step-by-step explanation:

when the nearest number from the right side is lower than 5 it just disappears and all of the numbers after that will disappear as well.

Answer:20

Step-by-step explanation:

n x 40% =8

So n = 8 / 40%
n = 20

The percent of distance that the Andersons will not travel by car is 12.5%, If they are planning to take a 960-mile trip and they will travel 840 miles by car.

Total distance the Andersons are planning to take is 960-mile

They will travel 840 miles by car

Distance they will not travel by car = total distance - distance travelled by car

= 960 - 840 miles

=120 miles

Percentage formula = (value/ total value) x 100

percent of the distance will they not travel by car =

         (total distance - distance travelled by car) x 100/total distance

=((960 - 840)/ 960) x100

=(120/ 960) x 100

12.5

If the Andersons are planning to take a 960-mile trip and they will travel 840 miles by car then ​the percentage of distance they will not travel by car is 12.5%

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Answer:

A) y = 0.3x+24

B) 283.5 dollars

Step-by-step explanation:

A) To create an equation in slope-intercept form, we can start by using the numbers the problem gave us and represent them as coordinates. Generally, time is always our x-value.

(230,93)

(530,183)

Now that we have our two coordinates, we can plug them into the slope-intercept formula: y₂-y₁/x₂-x₁ to find our slope.

(183-93)/(530-230) = 0.3

Now that we have our slope, we can plug it into our equation.

y = 0.3x + b

To find our y-intercept, we can take either one of our 2 coordinates (x,y) and plug them into the equation to solve for b.

93 = 0.3(230) + b

93 = 69 + b

93 - 69 = b

b = 24

Now that we have found our y-intercept, we can plug it into b to complete the equation.

y = 0.3x +24

B) If 865 minutes are used, we can plug 865 into x in our equation to find the total cost.

0.3(865) + 24 = 283.5

Answer:

9

Step-by-step explanation:

Edge

Answer:

Step-by-step explanation:

The ratio of area of the ball bearings will be equal to 4 / 9.

We are given the volume of the ball bearings as:

Volume 1 = 1.6 cm³

Volume 2 = 5.4 cm³

Now, the ratio of their volumes will be equal to:

r = 1.6 / 5.4

r = 16 / 54

r = 8 / 27

Now, we know that, the scale factor will be:

k = ∛8 / 27

k = 2 / 3

Also, we know that, the ratio of their areas is the square of their scale factor.

So, the ratio of area will be equal to:

R = (2 / 3)²

R = 4 / 9

Therefore, we get that, the ratio of area of the ball bearings will be equal to 4 / 9.

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The ratio of their areas is 4 / 9.

The scale factor for the linear dimensions of the ball bearings will be the cube root of the volume scale factor:

[tex]$$k=\sqrt[3]{(1.6 / 5.4)}=2 / 3$$[/tex]

Then the scale factor for the areas will be the square of this scale factor: ratio of surface area =(2 / 3)^2=4 / 9

The area is the product of two linear dimensions, so its scale factor is the product of the linear dimension scale factors. That is, the scale factor for area is the square of the linear dimension scale factor.

Similarly, volume is the product of three linear dimensions, so its scale factor is the cube of the linear dimension scale factor.

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilized. It is employed to change the size of an item.

If the original figure's dimensions and the dilated (increased or lowered) figure's dimensions are known, the scale factor can be determined. A rectangle, for instance, has dimensions of 5 units in length and 2 units in breadth.

The sides of this rectangle will change to 10 units and 4 units, respectively, if the size of the rectangle is increased by a scale factor of two. Therefore, we may use the scale factor to determine the modified figures' dimensions.

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The Excel formulas to enter in cell B16 is = SUM(B12 : F12)

From the question, we can assume the following:

Using the sum function, we have:

Total = SUM(B12 : F12)

So, the formula to enter in cell B16 is:

= SUM(B12 : F12)

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Answer:

15.6 in² (nearest tenth)

Step-by-step explanation:

Circumference of a circle

[tex]\large\boxed{C=2\pi r}[/tex]

Where r is the radius of the circle.

Given:

Substitute the given value into the equation for the circumference and solve for r:

[tex]\begin{aligned}\implies 14 & = 2 \pi r\\\\ r & = \dfrac{14}{2 \pi}\\\\ r & = \dfrac{7}{ \pi}\end{aligned}[/tex]

Area of a circle

[tex]\large\boxed{A=\pi r^2}[/tex]

Where r is the radius.

Substitute the found radius into the equation for area and solve for A:

[tex]\begin{aligned}\implies A&=\pi \left(\dfrac{7}{\pi}\right)^2\\\\ A&=\pi \cdot \dfrac{7^2}{\pi^2}\\\\ A&=\dfrac{49\pi}{\pi^2}\\\\ A&=\dfrac{49}{\pi}\\\\A & = 15.6\;\sf in^2\;(nearest\:tenth)\end{aligned}[/tex]

Therefore, the area of the circle with a circumference of 14 in is 15.6 in².

Answer:

The ratio is 8:1 and it is a rectangle so x is 56

If on the similar image the sides are the same the other image will be aswell

Hope thie helps!

If you have any other question feel free to ask!

Answer:

-8

Step-by-step explanation:

If x = -2, then plug -2 into the equation where the x is:

y = 3(-2) - 2

Then solve:

3 * -2 = -6

-6 - 2 = -8

So, y = -8

40,60,80,100,120,140,160,180,200 are the class boundaries.

The lower class boundary (LCB) is the LCL minus one-half the tolerance, and the upper class boundary (UCB) is the UCL plus one-half the tolerance. Class borders are the end points of an open interval that contains the class interval.

given that

8 classes for n = 75measurements

minimum value = 40

maximum value = 195

from the question

smallest class boundary = (maximum - minimum value) / n classes

= (195 - 40) / 75 = 19.375 = 20

round off the value means 20

using minimum value and smallest class boundary.

Hence, the 40,60,80,100,120,140,160,180,200 are the class boundaries.

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Disclaimer: the question is incomplete on portal. Here is the complete question.

Question: Use the information given to find a convenient class width. Then list the class boundaries that can be used to create a relative frequency histogram. (Round your class width up to the nearest multiple of 5. Use the minimum value as the smallest class boundary. Enter your class boundaries as a comma separated list.)

8 classes for  n = 75 measurements; minimum value = 40; maximum value = 195.