A group of 500 middle school students were randomly selected and asked about their preferred frozen yogurt flavor. A circle graph was created from the data collected.

a circle graph titled preferred frozen yogurt flavor with five sections labeled Dutch chocolate 21.5 percent, country vanilla 28.5 percent, sweet coconut 13 percent, espresso, and cake batter 27 percent

How many middle school students preferred espresso-flavored frozen yogurt?

10
15
50
100

Answer:

Height = 10 cm

Step-by-step explanation:

The volume of a pyramid can be found using the following formula:

[tex]\boxed{\large \textsf{$V=\frac{1}{3}Ah$}} \large \textsf{ where:}\\\\ \normalsize \textsf{$\bullet{\,V = $ volume of pyramid$}$}\\ \normalsize \textsf{$\bullet{\,A = $ base area$}$}\\ \normalsize \textsf{$\bullet{\,h = $ perpendicular height$}$}[/tex]

Note: in the question, it states that base area = 12 cm³, however, this is an error (typo), and the area is 12 cm², since area is only in 2 dimensions. length and width, whilst volume is in 3 dimensions. length, width, and height.

Now, we can plug in our data into the formula:

[tex]\large \textsf{$40=\frac{1}{3}12h$}\\\\ \large \textsf{$40=4h$}\\\\\boxed{\boxed{\large \textsf{$\therefore h = 10$ cm}}}\\[/tex]

Answer:

Step-by-step explanation:

probability you roll a one is 1/6

probability you roll an 8 is 0/6

add them and the answer is 1/6

Answer:

45

70

36

52

20

130

Step-by-step explanation:

complementary means it adds up to 90 degrees.

subtract that angle from 90 to get the complementary angle

supplementary angles add up to 180 degrees

subtract that angle from 180 to get the supplementary angle

Answer:

1) 45

2) 60

3) 36

4) 52

5) 20

6) 130

Step-by-step explanation:

In the first 3 questions, it's asking us for a complementary angle to the given angle.  A complementary angle is when 2 angles add up to 90 degrees.  So, we are given 45 degrees already, so we can subtract that from 90 to find it's complementary angle, which is also 45.  Continue to subtract from 90 for the next 2 problems.

In questions 4-6, we are asked to find an angle that is supplementary.  A supplementary angle is when 2 angles add up to 180 degrees.  We are given an angle that measures 128 degrees, so subtract 180-128 to get 52 degrees.  Continue subtracting from 180 for the next 2 problems.

Hope this helps! :)

Answer:

1/2

Step-by-step explanation:

If the fraction of the box of pancake mix that Merida uses on Friday is not given, it is difficult to determine the exact fraction that she used on Saturday. However, if we assume that the fraction of the box of pancake mix used on Friday is 1/2 (which is a common amount for a recipe that serves 4-6 people), then we can solve for the fraction used on Saturday.

On Friday, Merida used 1/2 of the box of pancake mix.

On Saturday, she used 1 times as much pancake mix as Friday, or 1/2 * 1 = 1/2 of the box of pancake mix.

Therefore, Merida used 1/2 of the box of pancake mix on Saturday.

Note that if the fraction used on Friday is different, the fraction used on Saturday will also be different.

Answer:

-8x + 4y = 24 ----> 2x - y = -6

-7x + 7y = 28 ----> -x + y = 4

-------------

x = -2, y = 2

Answer:

You must find the maximum i.e. the highest score and the minimum i.e. the least score.

In the given question, the lowest score is 4.

                                    the highest score is 50.

And there ya go!

Answer: 40 inches squared

Labels are in the pictures

Step-by-step explanation:

To find the surface area, find the area of each side.

Square (base) : side * side = 4*4 = 16

Triangle (sides) : (base * height)/2

Assuming each side is a isosceles triangle, the base 4/2 = 2

(2*6)/2 = 12/2 = 6

Since there are 4 triangles, we can multiply 6 by 4 to get the combined area. We then add the area of the square to get the final result.

6*4 + 16 = 24+16 = 40

Your selected answer is correct. The 35 needs to be converted to 0.35 and then multiplied by 20.

___ is 35% of 20. So 0.35 x 20 = 7. The answer to the bottom left box is 7.

Answer:

The correct answer is 7

Answer:

1/6x + 47

1 2/3x+35 -1 1/2x +12

5(1/3x)+(5)(7)-(3)(1/2x)+(3)(4)

Answer: 540.4 mm squared

Step-by-step explanation:

Since there are 5 triangles, we can find the area of each one and multiply it by 5:

(bh)/2 * 5

the base is 8 because in an isosceles triangle, you divide the bottom side by 2

(2*20)/2 * 5 =

20 * 5 =

100

We can add this to the base, 440.4, and get a result of 540.4

Answer: 540.4 mm squared

Step-by-step explanation:

Answer:

x = 10

The shaded angles are each 31 degrees.

Step-by-step explanation:

I don't know if you are being asked to solve for x or the shaded angle, so we'll solve for both.

Those 2 shaded angles are equal to each other. So set them equal to each other & solve for x.

91-6x = 4x-9

91+9 = 4x+6x

100 = 10x

10 = x

Now substitute x=10 to find the measure of the shaded angles (which are equal).

91-6x = 91-6(10) = 91-60=31

The shaded angles are both 31 degrees .

Answer:

10.57 m

Step-by-step explanation:

Let the height of the parallelogram be x m

Area of the parallelogram = base*height

                                645    = (61 * x ) m

                                 x = 645/61

                                    = 10.57 m

Hope this helps

Height of parallelogram = 10.57m

Given,

Base of parallelogram = 61 m

Area of parallelogram = 645 m²

Now, according to formula

Area of parallelogram = Base × Height

Substitute the given values in the formula,

645 = 61 × height

Height = 10.57 m

Hence, the height of the parallelogram with area 645m² and base 61 m is 10.57 m  .

Know more about Parallelogram ,

https://brainly.com/question/1563728

#SPJ1

Answer:

3/16

Step-by-step explanation:

There are 4 possible outcomes: 2, 3, 4, 5

There are 3 outcomes that are a number greater than 2: 3, 4, 5

There is 1 outcome that is a number less than 3: 2

p(greater than 2) = 3/4

p(less than 3) = 1/4

p(greater than 2 followed by less than 3) = 3/4 × 1/4 = 3/16

Answer:

x=10

<DPT=149°

<APW=149°

<WPD=31°

Step-by-step explanation:

4x-9=91-6x

4x+6x=91+9

10x=100

x=10

<DPT=180-(4(10)-9)

<DPT=180-31

<DPT=149

<APW=149 (Same as <DPT)

<WPD=4x-9

<WPD=40-9

<WPD=31

Answer:

[tex]5x^3-18x^2+2x+21[/tex]

Step-by-step explanation:

In the second step, -9x-21 should be 9x+21. This is because -3 in x-3, and -3x-7 in 5x²-3x-7 are both negative, so each term's product should be positive.

Also, in the third line, she wrote -3x²-15x² as -18x⁴ instead of -18x²,and similarly, she wrote -7x-9x as -16x² (however this is wrong anyway because step 2 was done incorrectly).

If we continued off from the second step with these corrected errors:

[tex]5x^3-3x^2-7x-15x^2+9x+21\\5x^3-18x^2+2x+21[/tex]

Therefore, the correct simplification is [tex]5x^3-18x^2+2x+21[/tex].

Answer:

5x^3-18^2 +2x +21

Step-by-step explanation:

Answer: Leilani has the probability of rolling two 5s three times on her next 30 moves.

Step-by-step explanation: If on average Leilani rolls once in 10, then we can predict that she will at least roll 3 in 30.

Answer: A

Step-by-step explanation:

Given by the table shown, we can see that the numbers are already put in least to greatest.

We count how many ranges there are:
(0 to 20)

(20 to 40)

(40 to 60)
(60 to 80)

(80 to 100)

There are 2 numbers that are between he range (0-20)

This doesn’t help us figure out wether it’s A or B. So we move on to the second range, 20 to 40.

Here we see that there are 6 numbers between 20 to 40. That’s only one answer, A

Answer:

Step-by-step explanation:

Answer:

y=(x-2)^2 +4

y=1/4 x^2 +x-1

Answer:

40 in.²

Step-by-step explanation:

First, you have to find the area of the triangle, which you then multiply by 4 (because there are 4 triangles):

A=1/2(bh)

A=1/2(3x4)

A=1/2(12)

A=6

6x4=24 in.²

Next, you have to find the area of the square:

A=bh

A=4x4

A=16

Now, add 24 and 16 together to get your answer of 40 in.².

Answer:

1) to work out the area of a parallelogram you need to do area= base x height.

6.3x27.3=171.99m^2

2) 420.92/27.4= 15.36mm to 2 decimal places

3) 133.2x30.6=4075.92mm^2

4) 651/61=10.57m to 2 decimal places

5) (32x2)+(34x2)=132mm

6) 40x18=720mm^2

7) (8.8x2)+(7.9x2)=33.4m

8)354/23= 15.39cm to 2 decimal places

9) 44/4=11

11x11=121mm^2

10)55/4=13.75

13.75x13.75=1890.0625cm^2

11) 43x18=774m^2

12) 25x35=875m^2

13)600/16=37.5m

14) 125-(40.5x2)=44.6

44.6/2=22.3

22.3x40.5=903.15cm^2

15) 64.3x4.3=276.49m^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer is solveable is actually A

Answer:

23. y intercept= -7 slope = 1/2

24. y-intercept = 4 slope = -1/3

Step-by-step explanation:

y=mx+b

y= slope x + y-intercept

Answer:

Q1: D

Q2: D

Q3: B

Step-by-step explanation:

Q1: It says it in the question.

Q2: He asked the ones in his science class so they would obviously prefer science, but that is not true for the rest of the students.

Q3: It is random because the first 3 people were chosen regardless of who they were, and it is still a valid sample even if the study is short.

Answer: 106.1

Step-by-step explanation:

Find the area of each triangle and multiply by 5

(bh)/2 * 5 =

(6*3)/2 * 5 =

9 * 5 =

45

Add this to the area of the base, 61.9, and get an answer of 106.1  

Answer: 5400

Step-by-step explanation: image attached

Answer:

5400

Step-by-step explanation:

we need to calculate the area of big box (prism).

volume = 4 1/2 X 5 X 3 3/4

= 84.375 in³.

volume of small cube = 1/4 X 1/4 X 1/4

= 0.015625 in³.

now we need to find how many of the small ones go into the big one.

84.375/0.015625

= 5400.

Answer:

  1/9

Step-by-step explanation:

You want the probability of rolling a sum of 5 when you roll two dice.

There are 4 outcomes that have a sum of 5 when rolling two dice:

  (1, 4), (2, 3), (3, 2), (4, 1)

There are 36 total possible outcomes, so the probability of rolling a 5 is ...

  P(5) = 4/36 = 1/9

The probability of rolling a sum of 5 is 1/9.

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Answer:

The single function to calculate the final cost of the gaming system, including a 15% off discount and a 10% state tax, is: final_cost(c) = 0.935c.

Step-by-step explanation:

To represent the cost of the gaming system before any discounts or taxes, we can use the variable c:

c represents the cost of the gaming system.

To represent the price after the 15% off discount, we need to calculate the discounted price by subtracting 15% of the cost from the original cost:

p = c - 0.15c

Simplifying, we get:

p = 0.85c

Here, p represents the price after the 15% discount has been applied.

To represent the price after the 10% state tax has been added to the discounted price, we need to calculate the price with the added tax:

final_price = p + 0.1p

Simplifying, we get:

final_price = 1.1p

Here, final_price represents the price after the 10% state tax has been added.

Therefore, the correct single function to help Indiana calculate the final cost is:

final_cost(c) = 1.1(0.85c)

Simplifying further:

final_cost(c) = 0.935c