Write ✓ –28 in simplest radical form.

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Explanation:

If there were 7 boys and 5 girls, then we'd have the ratio of 7:5. The boys are listed first because of how your teacher mentions boys first to set up the ratio. The order is important. That means 7:5 is different from 5:7.

With 7 boys and 5 girls, we see that there are 7-5 = 2 more boys compared to girls, and not 8. The jump from 2 to 8 is "times 4", which means we'll need to multiply each gender count by 4 to get to the class size we want

boys: 7 ---> 7*4 = 28

girls: 5 ---> 5*4 = 20

Having 28 boys and 20 girls will lead to the ratio 28:20, and it reduces fully to 7:5 when we divide both parts by the GCF 4.

The total number of students is 28+20 = 48

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Here's another way we can solve.

x = number of girls

x+8 = number of boys, since there are 8 more

The ratio of boys to girls is 7:5, meaning,

(number of boys)/(number of girls) = 7/5

(x+8)/x = 7/5

(x+8)*5 = x*7 .... cross multiply

5x+40 = 7x

40 = 7x-5x

40 = 2x

2x = 40

x = 40/2

x = 20

There are x = 20 girls and x+8 = 20+8 = 28 boys. So 20+48 = 48 total.

Answer:

» x : 3 :: 15 : 5

» x = 15

3 5

» x = 15 × 3

5

» x = 3 × 3

» x = 9

Step-by-step explanation:

Answer:

15,700

Step-by-step explanation:

The formula is 3.14(r^2)h

Hope this helped :)

Answer:

Step-by-step explanation:

C. 5 1/8 + 3/4 = h

Since Charlies heigh is 5 1/8 feet tall. It says Sahil is 3/4 foot taller then Charlie. So 5 1/8 + 3/4 = Sahil height

Answer: 0

Step-by-step explanation:

When x = 6, y = 0 [since the graph passes through (6,0)].;

Answer: D. The dotplot is closer to approximately normal than the distribution of the population with mean $150 and standard deviation $10.

Step-by-step explanation:

Based on the dotplot created from the 100 sample, the dotplot is closer to approximately normal than the distribution of the population with mean $150 and standard deviation $10.

The mean of the sampling distribution is just exactly like the population mean. On the other hand, the standard deviation will be: = 50/✓25 = 50/5 = 10

Therefore, the correct option is D.

We will solve the expression:

(3 + 5)*5 - 20*(2 + 5)

Step by step, and we will get the solution -100.

Here we want to solve the following expression:

(3 + 5)*5 - 20*(2 + 5)

The first thing that you need to solve when working in these type of problems, are the operations inside the parenthesis, then we will get:

(3 + 5)*5 - 20*(2 + 5) = (8)*5 - 20*(7)

Now we need to solve the two products, we will get:

(8)*5 - 20*(7) = 40 - 140 = -100

Thus, the solution of that expression is -100.

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Answer:

50/30

5/0

1.6%

Step-by-step explanation:

Answer:  

    4 - b x 2 = 46

Step-by-step explanation:

Answer:

36 and 16

Step-by-step explanation:

Answer:  

12

Step-by-step explanation:

you can get the answer from 40+12 giving you 52 but its not stated the type of problem it is so use addition.

Answer:

using the phytogaran theory we get 17 inch as the length of the diagonal

Answer:

sorry just a sec

Step-by-step explanation:

maybe 9?

Answer: itz d plz trust me

Answer:

[tex]\frac{15}{x^5}[/tex]

Step-by-step explanation:

[tex]\left|-15\right|x^{-5}[/tex]

Step 1: Apply exponent rule: [tex]\:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=\left|-15\right|\frac{1}{x^5}[/tex]

Step 2: Multiply fractions: [tex]a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]

[tex]=\frac{1\cdot \left|-15\right|}{x^5}[/tex]

Step 3: Simplify

[tex]=\frac{15}{x^5}[/tex]

The result is [tex]=\frac{15}{x^5}[/tex]

Spanish/Espanól

Respuesta:

[tex]\frac{15}{x^5}[/tex]

Explicación paso a paso:

[tex]\left|-15\right|x^{-5}[/tex]

Paso 1: aplique la regla del exponente: [tex]\:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=\left|-15\right|\frac{1}{x^5}[/tex]

Paso 2: multiplica fracciones: [tex]a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]

[tex]=\frac{1\cdot \left|-15\right|}{x^5}[/tex]

Paso 3: simplifica

[tex]=\frac{15}{x^5}[/tex]

El resultado es [tex]=\frac{15}{x^5}[/tex]

Answer:

22%

Step-by-step explanation:

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Answer:

81%

Step-by-step explanation:

The total number of Large drinks: 27

The probability that a customer orders a Hot and Large drink if the customer ordered a Large is the ratio of the number of Hot and Large drinks to the number of Large drinks:

22/27 = 0.8148 = 81.48%

Answer:

All real numbers

Step-by-step explanation:

The ratio is 17.14 cubic inch per orange and 168 oranges for given dimensions.

In three dimensions, everything takes up some space. What is being measured here is the area's volume. The volume of an object is the area occupied inside its three-dimensional boundaries. It is referred to as the object's capability on occasion.

The amount required to fill an object can be determined by finding its volume, for example, how much water is required to fill a bottle, aquarium, or water tank.

Given

dimensions of box 20 x 13 x 12, 12 x 12 x 12 and 20 x 10 x 6

volume of box 1 = 20 x 13 x 12 = 3120 cubic inches

volume of box 2 = 1728 cubic inches

volume of box 3 = 20 x 10 x 6 = 1200 cubic inch

oranges in box 1 = 96

oranges in box 2 = 53

oranges in box 3 = 37

and radius of  orange  = 32./2 = 1.6 inches

volume of each orange = 4/3πr³

volume of each orange = 4/3(3.14)(1.6)³

volume of each orange = 4/3(3.14)(4.096)

volume of each orange =  17.14 cubic inches

here one orange will cover 17.14 cubic inches.

7. let the dimension of box is 15 x 12 x 16

volume of box is = 15 x 12 x 16 = 2880 cubic inches

the number of oranges in box will be 2880/17.14 = 168 oranges

Hence there will be 17.14 cubic inch per orange volume is covered, and 168 oranges will be in box for given dimensions.

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Question 7 is incomplete the missing dimensions are 15 x 12 x 16.

Answer:

W-X/(35-25 = 10)

Step-by-step explanation:

this could be a possibility

Answer:

help me plzz

Step-by-step explanation:

The velocity of a particle moving along the x-axis is v(t) = cos(2t), with t measured in minutes and v(t) measured in feet per minute. To the nearest foot find the total distance travelled by the particle from t = 0 to t = π minutes

Answer:

1) 10/3

2) -1./3

3) -2/5

4) 1

5) undefined

6) 0

Step-by-step explanation:

Find two easy to read points. Go from one point to the other by going vertically first then horizontally. Moving up is positive and down is negative. Moving right is positive and left is negative.

slope = rise/run = (difference in y)/(difference in x)

1) slope = 10/3

2) slope = -1/3

3) slope = -2/5

4) slope = 1/1 = 1

5) slope = undefined (The slope of a vertical line is undefined.)

6) slope = 0 (The slope of a horizontal line is 0.)

Answer: see below...

Step-by-step explanation:

1. Reflection across the y axis.

2. Translation by a vector (0, -6): 0 units to the right/left, 6 units down.

Answer:

Step 1 is a reflection across the y- axis.

Step 2 is a translation 6 units down.

Step-by-step explanation:

The measure of the missing angle is 17 degrees.

Trigonometry is a method that can by used to solve questions involving the application of functions. Some examples of trigonometric functions are: Sine, Cosine, Tangent, Secant, Cotangent etc.

Now considering the given question, we are to find the measure of the missing angle. We have;

cos θ = 0.9563

where θ is the missing angle the value of which is to be determined.

Thus, divide both sides of the expression by cos to have;

cos θ/ cos = 0.9563. cos

θ = cos^-1 0.9563

θ = 17.0 degrees

Therefore, the value of the missing angle is 17 degrees.

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The number of expected times to pick a card without strips is 130.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The percentage of stripes from the 120 times.

= 42/120 x 100

= 35%

Now,

Based on this experiment,

The number of strip cards out of 200 times.

= 35% of 200

= 35/100 x 200

= 35 x 2

= 70

The number of times to pick a card without strips.

= 200 - 70

= 130

Thus,

The expected number of times to pick a card without stripes is 130.

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The complete question is given below.

Answer:

Find answers below.

Step-by-step explanation:

The equation isn't explicitly stated or well written. Thus, we would assume two (2) case scenario for the equation of line by altering the signs.

Scenario 1;

y = 9 + x

Mathematically, the equation of a line is given by the formula;

Equation of straight line is y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

Comparing the two equations, we have;

y = mx + c = 9 + x

Constant, c = 9

Slope, m = 1

Scenario 2.

y = 9 - x

y = mx + c = 9 - x

Constant, c = 9

Slope, m = -1

Answer:

D

Step-by-step explanation:

x²+5x=0

by factorizing;

x(x+5)=0

x=0 or x+5=0

Therefore, x= 0 or x=-5 ---> {0, -5}

Answer:

The sale price is 34 euros.

Step-by-step explanation:

40 * .85 (100% - 15% = 85% or .85) = 34