One third of the students at max middle school play a musical instrument. If 152 students play an instrument. How many students are at the school

Answer:

23ft longer

Step-by-step explanation:

The shorter piece is 15 feet, while the longer piece is 25 feet

Let the longer piece be y, and the shorter piece be x.

So, we have:

[tex]x + y = 40[/tex] --- the length of the rope

[tex]y =2x - 5[/tex] --- the relationship between the short and the long piece

Substitute 2x - 5 for y in [tex]x + y = 40[/tex]

[tex]x + 2x - 5 =40[/tex]

[tex]3x - 5 =40[/tex]

Add 5 to both sides

[tex]3x =45[/tex]

Divide both sides by 3

[tex]x =15[/tex]

Substitute 15 for x in [tex]y =2x - 5[/tex]

[tex]y =2 \times 15 -5[/tex]

[tex]y =30 -5[/tex]

[tex]y =25[/tex]

Hence, the shorter piece is 15 feet, while the longer piece is 25 feet

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Answer:

the answer is

B. 145° 12' 0"

Answer:

.125

Step-by-step explanation:

1/4 times 1/2 equals .125.

Answer:

Total area of the box is 1 ft squared

Area of the shaded box is .125 ft squared

Area of the non - shaded box is .875 ft squared

Step-by-step explanation:

To find the total area, we can multiple the length * height, 1 * 1 = 1.

To find the shaded area, we can multiple the length * height, .5 * .24 = .125.

To find the total area, we can multiple the length * height of the box minus the shaded area, 1 * 1 - .125 = .875.

Answer:

Solution of the given expression is 26

Solution of the given expression is 8.67

Step-by-step explanation:

Given:

a] [tex]4\frac{1}{3} \times 6[/tex]

b] [tex]2\frac{3}{5} \times 3\frac{1}{3}[/tex]

Find the solution;

Computation:

a] [tex]4\frac{1}{3} \times 6[/tex]

Step 1 ;

Changed mixed fraction into simple fraction

⇒ 13/3 x 6

Step 2 ;

⇒ 13 x 2

26

Solution of the given expression is 26

b] [tex]2\frac{3}{5} \times 3\frac{1}{3}[/tex]

Step 1 ;

Changed mixed fraction into simple fraction

⇒ (13/5) x (10/3)

Step 2 ;

⇒ 130 / 15

8.67

Solution of the given expression is 8.67

Answer:

Your answer for both is 31 degrees

Step-by-step explanation:

Because they are similar we know their angles are the same. If you know the rule about triangles' interior angles always add up to 180, then you can just easily find this out.

First you do

82+67 = 149

Take that answer and minus it by 180

180-149 = 31

Answer:

*Using < for angle symbol*

m<E= 61 degrees

m<G= 119 degrees

Step-by-step explanation:

Because the two triangles are similar (meaning they have either length of sides or angle measurements in common, we can assume that they have the same angles because they are not the same size. We know that m<A= 82 degrees, which means so will m<D. You add the 82 and the 37 (from m<F) together to find 119. You subtract this from 180 (the total angle measurement of a triangle) to find m<E= 61. To find m<G, you subtract the 61 from 180, the angle measurement of a straight line, to find 119.

Hope this helps! Have a nice day :)

Answer:

6 ft

Step-by-step explanation:

The ratio of the square of the sides of two similar figures = the ratio of their area

Let x represent the missing side corresponding side length

Therefore,

Area of figure B/area of figure A = square of side length of figure B/square of the side length of figure A

Thus:

98/18 = 14²/x²

98/18 = 196/x²

Cross multiply

98*x² = 196*18

98x² = 3,528

Divide both sides by 98

x² = 3,528/98

x² = 36

x = √36

x = 6

Therefore, missing corresponding side length = 6 ft

The corresponding side length is 2.57 feet

Given that figures A and b are, hence the ratio of the area to the length is equal to a constant as shown:

Substitute the given parameters into the formula to have:

A = 98 square feet

L = 14 square feet

a  18 square feet

[tex]\frac{98}{14} = \frac{18}{l}\\98l=252\\l = 2.57 feet[/tex]

Hence the corresponding side length is 2.57 feet

Learn more on similar shaps here: https://brainly.com/question/14285697

Answer:

Step-by-step explanation:

10400

Answer:

3200 cm^3

Step-by-step explanation:

1. Calculate the sides of the right triangle to get the height

We know that side c = 26 and the shortest leg is 10 cm (20cm/2) because this right triangle splits the 20cm in two)

[tex]10^{2} + b^{2} = 26^{2} \\100 + b^{2} = 676\\b^{2} = 576 \\b = \sqrt{576} \\b = 24[/tex]

a = 10, b = 24, c = 26

2. Use the formula for the volume of a square pyramid now that you have the height (which is b)

[tex]V = a^{2} \frac{h}{3} \\\\V = 20^{2} * \frac{24}{3} \\V = (400)(8)\\V = 3200 cm^{3}[/tex]

V = 3200

I hope this helped! :)

Answer:

8×5= 40 is the answer .......

One pitcher serves 8 people, so to figure out how many 5 pitchers would serve you would do 8×5 which is 40. 5 pitchers would serve 40 people. I hope this helps!

Answer:

Autumn is correct because it's a non-linear line. although it is positive, it's not straight.

Answer:

autumn is correct. is positive and is not a line

Answer:

Step-by-step explanation:

In this case we know the composition of f and g is

[tex]f(g(x))=f(5x-1)=5x-1+2=5x+1[/tex]

Thus if we change x by 3 we get

[tex]f(g(3))=5(3)+1=16[/tex]

Answer:

10y^2-3xy+6x

Step-by-step explanation:

Answer: 160

Step-by-step explanation:

I divided 144/9 to see how many students are their per 10% of the 90% of students and got the answer 16. I then added 16 as the other missing 10% to 144 and got the answer 160.

9514 1404 393

Answer:

  30

Step-by-step explanation:

The triangle inside the circle is an equilateral triangle, so the central angle is 60°. That angle is one of the acute angles in the right triangle formed by the tangent line. The other acute angle (x°) in that right triangle is the complement of 60°.

  x° = 90° -60° = 30°

  x = 30

Answer:

Approximately normal

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

As the sample size is above 30, even though the underlying distribution is right-skewed, the shape of the sampling distribution of the sample means will be approximately normal.

Answer:

Account with 8% interest per year: $3000

Account with 5% interest per year: $7000

8% of 3000 = 240

5% of 7000 = 350

240+ 350 = 590

Answer:

1

Step-by-step explanation:

Because 2 times 1 is 2 plus 1 is equal to 3

Answer:

B??

Step-by-step explanation:

Sorry if i'm wrong! :(

Answer:

D

Step-by-step explanation:

i just took the test:)

Answer:

Step-by-step explanation

First, let's remember the equation for point-slope form and how to find the 'm' value:

[tex]y-y1 = m (x-x1)\\m = rise/run\\m = \frac{-4-(8)}{-1-(0)} = 12[/tex]

Now plug your m value and (x1, y1) into point-slope form:

[tex]y - 8 = 12(x-0)\\reduce\\y=12x+8[/tex]

Answer:

Mizuki is here to help! The answer is 8!

Step-by-step explanation:

5 + 30 ÷ 10 =

5 + 3 =

8

Remember PEMDAS!

Answer: The answer is 3 remainder 5 or 3.5

Step-by-step explanation: 5 plus 30 is 35 divided by 10 equals 3 with a remainder of 5! Hope this helps.

Answer:

7÷2

Step-by-step explanation:

6 3/4= 6.75

1 2/3= ~1.67

round up 6.75 to 7 and 1.67 to 2

7÷2

Answer: itz d plz trust me

Answer:

It would probably be 36t

Step-by-step explanation:

because if you think about It.

It is mainly asking you how long it is going to take, so you need a a equation to find the answer.

-John needs 36 copies

- Hp printers out 16 in 5 minutes

- Epson printer out 4 in 1 minutes

so 36 x t or 36t

Answer:

[tex]b \leqslant - 16[/tex]

Only x = -3 is less than -2.

We have the following statement -

"A number b is at least -16"

Given is the following statement -

"a number b is at least -16".

We can write the given inequality as -

b ≥ - 16

Therefore, we can write the given statement as -

b ≥ - 16

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Answer:

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

24 inches are 2 feet

3/4 x 32 = 24

24 inches = 2 feet

The minimum number of pieces dan requires to achieve his objective of constructing a bigger square is; 4 pieces

We are told that dan is trying to construct a bigger square with a smaller square. That all the smaller square-shaped pieces of paper have similar dimensions.

Length = 2x

Width = x

Length = 2x

Width = 2x

Thus, the minimum number of pieces dan will require to construct the bigger square is 4 squares.

Read more about properties of squares at; https://brainly.com/question/298357

Answer:

-9/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-12)/(0-(-2))

m=-9/(0+2)

m=-9/2

Answer:

40 degrees clockwise.

Step-by-step explanation:

If we rotate 150 degrees counterclockwise by 60 degrees , we would end up at 210 so

210-170=40 degrees

It would be clockwise.

Answer:

[tex] \frac{92}{15} [/tex]

Step-by-step explanation:

change to improper

[tex] \frac{24}{5} + \frac{4}{3} [/tex]

this gives us

[tex] \frac{92}{15} [/tex]

final answer

plz mark as brainliest

Answer:

[tex]\frac{92}{15} or 6\frac{2}{15}[/tex]

Step-by-step explanation

hope this helps have a good day :)