72 degrees is used in a pie chart to represent 4 people . How many people were there altogether ?

Answers

Answer 1

Answer: First lets find out the unit rate, the percent per person. Lets do it:-

72 ÷ 4 = 18
18% per person.

Lets find out how many people in the pie chart:-

100 ÷ 18 = 5.555.....

So, there are about 6 people in the pie chart together.

Hope I helped ya!! xD

Answer 2

Answer: 72/4 = 18
100/18 = 5.555..
About 6 ppl.

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An airplane left atl with 52 empty seats. If the air plane was 75% full, what was the total number of seats

Answers

$x-total\ number\ of\ seats\nx-52-occupied\ seats\n75\%=0.75\n100\%=1\n\nFrom\ proportion:\n\nx-52\ \ \ -\ \ \ 0.75\nx\ \ \ \ \ \ \ \ \ \ -\ \ \ 1\n\nx-52=0.75x\nx-0.75x=52\n0.25x=52\ \ \ \ |\cdot4\nx=208\n\nTotal\ number\ of\ seats\ was\ 208.$

A jewelry maker will use 24 blue beads and 30 green beads to make necklaces. What are the possible number of necklaces she can make if each necklace has the same number of blue and green beads? How many of each type will be on each necklace?

Answers

Answer:

1 necklace: 24 blue, 30 green
2 necklaces: 12 blue, 15 green (each)
3 necklaces: 8 blue, 10 green (each)
6 necklaces: 4 blue, 5 green (each)

Step-by-step explanation:

The greatest common factor of 24 and 30 is 6. The divisors of 6 are 1, 2, 3, and 6. Those are the numbers of identical necklaces that might be made from the beads. The number of beads of each color is found by dividing the total number of beads by the number of necklaces being made.

The possible numbers of necklaces are 1, 2, 3 or 6.

The numbers of (blue, green) beads on each will be (24, 30), (12, 15), (8, 10), or (4, 5), respectively.

_____

The greatest common factor (GCF) is the product of the common prime factors.

24 = 2^3×3

30 = 2×3×5

The prime factors in common are 2 and 3, so the GCF is 2×3 = 6.

Suppose the circumference of a circle is 3 pi. What is the diameter?

Answers

this was asked already
c=pid or
c=2pir

use first one
c=3pi
3pi=c=pid
3pi=pid
divide by pi
3=d
diameter=3 units

$2\pi r~or~ \pi d$ so divide 3 by $/pi$

7. John's seafood restaurant is trying to estimate its profits. John has found that on average, each meal served costs the restaurant $14.56 and takes in $17.12. John has also found that on average, each beverage served costs the restaurant $1.20 and takes in $5.40. If c customers order a meal, and half of those customers order a beverage, which of the following functions models the restaurant's total profit?f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)
f(c) = 17.12c - 14.56c + 5.4c - 1.20c
f(c)=14.56c - 17.12c + 1.20c - 5.40c14.56c - 17.12c + 12(.5c) - 5.40(.5c)

Answers

Answer:

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

Step-by-step explanation:

Profit is the difference between revenue (17.12c +5.40(.5c)) and cost(14.56c+1.20(0.5c)). That difference is expressed by the function shown above.

Answer:

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

Step-by-step explanation:

Let's build the f(c) function by steps.

There are c customers.

John has found that on average, each meal served costs the restaurant $14.56 and takes in $17.12.

So, the costs for the restaurant are negative, and what takes positive.

f(c) =17.12c -14.56c

Now the final part

John has also found that on average, each beverage served costs the restaurant $1.20 and takes in $5.40.

Half of these customers order a beverage, and this is why we multiply by 0.5.

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

What is the solution to the equation 7(a – 10) = 13 – 2(2a 3)?

Answers

7(a - 10) = 13 - 2(2a + 3)
7a - 70 = 13 - 4a - 6 = 7 - 4a
7a + 4a = 7 + 70
11a = 77
a = 77/11 = 7
a = 7.

Answer:

$a=7$

Step-by-step explanation:

we have

$7(a-10)=13-2(2a+3)$

Solve for a

$7a-70=13-4a-6$

Group terms that contain the same variable and move the constants to the other side

$7a+4a=13-6+70$

Combine like terms

$11a=77$

Divide by $11$ both sides

$a=7$

Area of room is 320 and width is 4/5 of length

Answers

Area is w*l and $w=\frac{4l}5$ , thus the area is $\frac{4l^2}5$ . Make it equal to 320 and you get $l^2=400$ , thus $l=\pm{20}$ , the minus one not being meaningful in our context. Thus the length is 20, while the width is 16.

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