in a school of 50 students, 12% are boys. how many are boys?

Answer:

1007

Step-by-step explanation:

The volume of the cylindrical storage tank is : π·40(squared)·60 = approximately 302000.

The volume of a rectangular prism is : 5 x 6 x 10 = 300

To catch all the leaking liquids, you need : 302000 : 300 = 1006.6666667 (round to 1007) rectangular prisms

Diameter=80ft

[tex]\\ \rm\Rrightarrow V=\pi r^2h[/tex]

[tex]\\ \rm\Rrightarrow V=3.14(40)^2(60)[/tex]

[tex]\\ \rm\Rrightarrow V=3.14(1600)(60)[/tex]

[tex]\\ \rm\Rrightarrow V=301440ft^3[/tex]

For prism

[tex]\\ \rm\Rrightarrow V=LBH=5(6)(10)=300ft^3[/tex]

Total prisms:-

Answer:

1,5,9,13,17,...

Step-by-step explanation:

Answer:

$29.99

Step-by-step explanation:

24 equal payments represent 24 months (as it is paid monthly), therefore, you divide by 24 to get only 1 month of the payment

719.76/24

=29.99

Answer:

A

Step-by-step explanation:

4x-6

Answer:

M= 4.5

Step-by-step explanation:

take 5m+11 = 9m - 7

add seven to each side to get

5m + 18 = 9m

then subtract 5m from each side

18= 4m

then divide by 4

18÷4= 4.5

Answer:

2

Step-by-step explanation:

Let's test the values at x=2.

when x=2, g(2)=2, but f(2)=1.

This means that g(x)=(2/1)f(x)=2f(x).

The value of k for the function will be equal to 2.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given that the two graphs are there in the image for the functions g and f. Function g is defined as g(x) = kſ (x).

The value of k will be calculated as,

Let's test the values at x=2.

when x=2, g(2)=2, but f(2)=1.

The function can be written as,

g(x)=(2/1)f(x)

g(x) =2f(x).

Therefore, the k value will be 2.

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Answer: Your answer is B

Step-by-step explanation:

Option B) A₁ = 50.3in², A₂ = 113.1in², A₃ = 176.7in² is the correct answer.

A circle is simply a closed 2-dimensional curved shape with no edges or corners.

Area of a circle is expressed as;

A = πr²

Where r is the radius of the circle and π is pi ( π = 3.14159 ).

For cake A;

From the previous expression of area of a circle

Area of A = πr²

Area of A = 3.14159 × (4in)²

Area of A = 3.14159 × 16in²

Area of A = 50.23in²

Hence, the area of the first cake is 50.23in².

For cake B;

From the previous expression of area of a circle

Area of B = πr²

Area of B = 3.14159 × (6in)²

Area of B = 3.14159 × 36in²

Area of B = 113.1in²

Hence, the area of the second cake is 113.1in².

For cake C;

From the previous expression of area of a circle

Area of C = πr²

Area of C = 3.14159 × (7.5in)²

Area of C = 3.14159 × 56.25in²

Area of C = 176.7in²

Hence, the area of the third cake is 176.7in².

Option B) A₁ = 50.3in², A₂ = 113.1in², A₃ = 176.7in² is the correct answer.

Hence;

Area of the first cake is 50.23in².

Area of the second cake is 113.1in².

Area of the third cake is 176.7in².

Learn more about area of circle here: https://brainly.com/question/3683465

Answer:

(-3,-4)

Step-by-step explanation:

When reflecting across the y-axis, you will mirror the coordinates across the y-axis. This means (5,-4) will turn into (-5,-4) because mirroring it across the y-axis will only change the x coordinate. Then, to translate it to the right, you move to the right two times to give you (-3,-4). The y-coordinate will never change in this situation because you are only reflecting and moving left and right.

Answer:

All rhombuses are similar.

Answer:

I  would say yes

Step-by-step explanation:

6*7 =42

Answer:

Yes.

Step-by-step explanation:

7 days in a week. So, 7x6= 42

So yes it is still under warranty.

(x,y)=(−26,68). Explanation: I'll solve this by first eliminating the y terms in both equations: E1:8x+3y=−4⇒16x+6y=−18

Answer:

1 hour

Step-by-step explanation:

Because if you swim for 1 hour each morning that adds up to 4 hours and if you swim two hours in the evening then it all adds up to 12

Answer:

Angle EDC

Step-by-step explanation:

Since angle IDH is perpendicular, that should mean that the other angle should be the same as angle IDH.

If this did not help, let me know.

If it did, your welcome! :)

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go to this so i can help you

Answer:

sqrt(241) or about 15.52 rounded

Step-by-step explanation:

a^2+b^2=c^2

4^2+15^2=c^2

16+225=c^2

241=c^2

sqrt(241)=c

Answer:

If youre asking how long it will take for Yoshi to catch up look below

Step-by-step explanation:

Yoshi walk 80 feet per minute faster than Trisha

If Trisha walks for 5 minutes she would have walked 2250 feet

If Yoshi also walks for 5 minutes he would have walked 2150 feet

Now this is already pretty close so lets check for 7 minutes

If Trisha walks 7 minutes she would have walked 2950 feet

if Yoshi walks 7 minutes he would have walked he would have walked 3010 feet

Now this is really close but now yoshi is ahead.. so lets go down to 6.85 feet

If Yoshi walks 6.85 minutes he would have walked 2945.5 feet

this is still a LITTLE to low so lets do 6.86

If yoshi walks 6.86 minutes he would have walked 2949.8

Rounding up he would have caught up by now

so it would take Yoshi 6.86 minutes to catch up

Answer:

26.7

Step-by-step explanation:

This is the answer because 26.7/20 = (16+26.7)/32

When two triangles are similar, it means their sides are also proportional. The reason why it is not ten is because you need to add 10 to 16 to the large triangle as well, which no longer makes it proportional.

To solve, you create a formula.

(16+x)/32=x/20

Multiply both sides by 32 to get rid of the 32 in the left side.

16+x=32x/20

Multiply both sides by 20 to get rid of the 20 right side.

320+20x=32x

-20x on both sides to get all the variables on one side and all the nukbers on the other.

320=12x

Divide both sides by 12 to get x by itself

x=26.66667

Answer: 24, 52, and 104 degrees

Step-by-step explanation:

Answer:

I mean I can give you some of my advice on 7 but I'm not too great on the others, but I hope this will help:

Step-by-step explanation:

Okay so on 7 you first need to figure out the amount of people in each grade and then you need to look at the premade answers and try to split it up AND on the total part you need to put how many people all together. If I'm not mistaken, I'm pretty sure there are more right-handed people, then left-handed people on 7th graders.

Answer:

Step-by-step explanation:

Known facts:

First question:

                      [tex]-16t^{2} +64 = 0\\16t^{2} = 64\\t^{2} =4\\t = 2[/tex]

     So the ball hits the ground in 2s

Second question

                      [tex]-16t^{2} +64 = 28\\16t^{2} = 36\\t = \frac{6}{4} =1.5s[/tex]

      So the ball hits the ground in 1.5s

Hope that helps!

Answer:

Step-by-step explanation:

rise / run is another way of expressing the tangent.

So when you are told that the rise over run is 35% you mean the rise is 35% of the run.

Another way of expressing this is by saying Tan(theta) = 0.35

theta = tan-1(0.35)

theta = 19.29 degrees.

The answer is A. You can reason this out. 19 degrees is the smallest answer. If it was any larger, do you think an 18 wheeler would be able to make the grade? Likely not.

Answer:

If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations. the intersection points (-3,3) Since the system is infinite it means there is 1 lone on the graph-

Step-by-step explanation:

Answer:

Step-by-step explanation:

2) 3/4 x 3 = 9/4

3) A shows it as multiple of the unit fraction.

The value of the numerator of the calculation of the variance is 258, the correct option is D.

Given

The test scores of a geometry class are given below. 90, 75, 72, 88, 85.

Variance is the expected value of the squared variation of a random variable from its mean value, in probability and statistics.

The mean of the test scores of a geometry class is;

[tex]\rm Mean = \dfrac{90+75+72+88+85}{5}\\\\ Mean =\dfrac{ 410}{5}\\\\Mean =82[/tex]

The variance is given by;

[tex]\rm Variance =\dfrac{(90 - 82)^2 + (75 - 82)^2 + (72 - 82)^2 + (88 - 82)^2 + (85 - 82)^2}{5}\\\\Variance = \dfrac{8^2+7^2+(-10)^2+6^2+3^2}{5}\\\\Variance=\dfrac{64+49+100+36+9}{5}\\\\Variance = \dfrac{258}{5}[/tex]

Hence, the value of the numerator of the calculation of the variance is 258.

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Answer:

Step-by-step explanation:

d