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2 years ago

Need help solving this

Mathematics

1 answer:

Airida [17]2 years ago

4 0

There would be 101.33 students the following year

<h3>Ratios </h3>

From the question, we are to determine the number of students for the following year

From the given information,

There are 3 PA's for 38 students

If the ratio stays the same and

There were 8 PA's the following year, the number of students would be x

x = (8 × 38) / 3

x = 304 / 3

x = 101.33 students

Hence, there would be 101.33 students the following year

Learn more on Ratios here: brainly.com/question/2914376

#SPJ1

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Your friend is wrapping 1 meter of twine around a spool with a 2-centimeter diameter. The spool is thin and accommodates only on

Kazeer [188]

Answer:

a) 6 complete times

b) 19.3%

Step-by-step explanation:

In every turn, the diameter of the twine increases 1 cm.

After the first turn, there is a total wrapped of 3.14*2=6.3 cm.

After the second turn, we have wrapped 6.3+3.14*(2+1)=15.7 cm.

If we continue with these algorithm, we have that after the 6th turn we have 84.8 cm wrapped. <em>This is the last complete turn.</em>

T = 0 D = 2 cm. Wrapped = 6.3 cm. Total wrapped = 6.3 cm.

T = 1 D = 3 cm. Wrapped = 9.4 cm. Total wrapped = 15.7 cm.

T = 2 D = 4 cm. Wrapped = 12.6 cm. Total wrapped = 28.3 cm.

T = 3 D = 5 cm. Wrapped = 15.7 cm. Total wrapped = 44 cm.

T = 4 D = 6 cm. Wrapped = 18.8 cm. Total wrapped = 62.8 cm.

T = 5 D = 7 cm. Wrapped = 22.0 cm. Total wrapped = 84.8 cm.

T = 6 D = 8 cm. Wrapped = 25.1 cm. Total wrapped = 110 cm.

There are left (100-84.8) = 15.2 cm to wrap around the twine, which has a 25.1 cm diameter by now.

The perimeter of the twine is 3.14*25.1=78.8 cm.

The percentage of a complete circle that the last wrapping of the twine will make is:

P = 15.2/78.8 = 0.193 = 19.3%

4 0

3 years ago

X + 2y =6<br> X- y =3<br> Solution?

VikaD [51]

Since one equation has a negative y and the other has a positive y, I'm going to use those since they cancel each other out. Before that, the two y's need to be equal to each other.

x+2y=6
x-y=3

Multiply the bottom equation by two so then you have:

x+2y=6
2x-2y=6

The y's now cancel out:

x=6
2x=6

Add them together

3x=12

Divide

x=4.

To find y, plug x into either equation (*don't have to do both, but I will)

(4)+2y=6
(4)-y=3

Subtract four

2y=2
-y=-1

Divide each

2y/2 = 2/2
y=1

-y/-1 = -1/-1
y=1

The answer is:
x=4
y=1

I hope that helps!

4 0

3 years ago

Read 2 more answers

A rectangle is 25 in. long and 13 in. wide what is the area? gives brainliest to right answer

Serggg [28]

The area is 325 in ^2

4 0

3 years ago

Read 2 more answers

the length of a rectangular sing is 5 time its width. if the sign perimeter is 24 inches. what is the sign area ?

kumpel [21]

Answer:

20 in²

Step-by-step explanation:

Assuming that the width of the sign is x, then from the question, we're told that the length is 5 times it's width, so

b = x inches

l = 5x inches

Again, we're told that the perimeter of the sign is 24 inches, and we know already that the perimeter of a rectangle is given as

Perimeter = 2(l + b), substituting this, we have

24 = 2(5x + x)

24 = 10x + 2x

24 = 12x

x = 24 / 12

x = 2 inches.

Since x is the width of the rectangle, and it's 2 inches, we use it to find the length of the sign.

l = 5 * 2

l = 10 inches.

Then, we are asked to find the area of the sign. Area of a rectangle is given as

A = l * b, so if we substitute, we have

Area = 10 * 2

Area = 20 square inches

8 0

2 years ago

The sum of 4 and y divided by 5 equal to 9. Find the value of y.

Sophie [7]

Answer:

y = 41

Step-by-step explanation:

When you add 41 and 4, you would get 45.

When you divide by 5, it will be equal to 9:

45 ÷ 5 = 9

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Have a great summer :)

6 0

2 years ago