The classes at the middle school want to raise money.

The sixth grade runs a bake sale for 5 hours and makes $170.
The seventh grade sets up a dunking booth for 4 hours and makes $112.
The eighth grade has a car wash and makes $192 in 6 hours.

Which class has the highest rate for raising money?




Seventh grade


Sixth grade


Eighth grade


All classes had the same hourly rate.

Answer:

Step-by-step explanation:

[tex]\frac{6}{\sqrt{2} - \sqrt{3} } * \frac{\sqrt{2} + \sqrt{3} }{\sqrt{2} + \sqrt{3} }[/tex]

[tex]\frac{6\sqrt{2} + 6\sqrt{3} }{2-3}[/tex]

[tex]-6(\sqrt{2} + \sqrt{3} )[/tex]

The fraction after rationalizing the denominator is given by the equation

A = -6 ( √2 + √3 )

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the fraction be represented as A

Now , the value of A is

A = 6 / ( √2 - √ 3 )   be equation (1)

Now , on simplifying the equation , we get

To rationalize the denominator of the fraction ,

Multiply the denominator by its conjugate ,

So , the conjugate of ( √2 - √ 3 ) = ( √2 + √ 3 )

Multiplying the numerator and denominator of the fraction by ( √2 + √ 3 )

A x ( √2 + √ 3 ) / ( √2 + √ 3 )

Substituting the values in the equation , we get

[ 6 / ( √2 - √ 3 ) ] x ( √2 + √ 3 ) / ( √2 + √ 3 )

On simplifying the equation , we get

6 ( √2 + √ 3 ) / ( 2² - 3² )

So , the value of A is A = 6 ( √2 + √ 3 ) / ( -1 )

A = -6 ( √2 + √ 3 )

Therefore , the value of A is A = -6 ( √2 + √ 3 )

Hence , the equation A = -6 ( √2 + √ 3 )

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Answer:

1.5%

Step-by-step explanation:

Answer:

Y = 3x -7 is your answer hope I helped

Step-by-step explanation:

Answer:

30/64

Step-by-step explanation:

5b=30

32a=8

8^2=64

=30/64

Answer:

x=12 Proportion should be 1 2/3

Step-by-step explanation:

To find PT, subtract 26 from 65= 39

26/39 is equal to 2/3, so 30/(4x-3) should also be equal to 2/3

30/(4x-3)=2/3 (Cross Multiply)

30*3=90

2(4x-3)=8x-6

8x-6=90 (Add 6 to both sides)

8x=96 (Divide 8 from both sides)

x=12

QT is equal to 4(12)-3=45

RT is 75

Proportion: 65/39=1 2/3

75/45=1 2/3

Answer:

k=2/3

Step-by-step explanation:

As said, this table shows direct variation. The equation is y=kx.

we can solve the equation to isolate the variable to see what the equation is to find k.

divide by x on both sides

y/x=k

that means that k is y/x

so we can divide 2/3 for example. Or 4/6 and see it simplifies to 2/3. You can do this for the other numbers to see that they are all equal to 2/3

That means that k is 2/3

Hope this helps!

Answer:

70%

Step-by-step explanation:

100% - 30% = 70%

Precipitation:

Precipitation is condensed water vapor that falls back to earth.

Examples: Rain, Snow, Hail, Sleet

Evaporation:

The process of a liquid changing into gas due to an increase of tempurature or pressure.

Transpiration:

Plants absorb water through their roots and then give off water vapor through their leaves.

Accumulation:

Water collects in rivers, lakes, oceans, and other bodies of water or as ice caps or glaciers.

Infiltration:

Water soaks into the soil (not sure abt this one) from the ground level and moves into rocks through cracks and pores.

Surface run off:

Precipitation that reaches the Earths surface, flows over land, and reaches lakes, rivers, and oceans

Condensation:

The process of a gas changing into a liquid due to a decrease in temperature or pressure.

Sublimation:

The process of snow and ice changing into water vapor without first melting into water

Step-by-step explanation:

diameter=20/2,radius=10

circumference of circle=2×pi×radius

circumference of circle=2×3.14×10

circumference of circle=62.8

Answer:

64 square units

Step-by-step explanation:

8+8+8+8+16+16

32 I think is the anwser

Answer:

5.25 inches

Step-by-step explanation:

Answer:

first one answer is 4 second one answer is 0

Answer:

8.9

Step-by-step explanation:

Distance Equation Solution:

d=(7−3)2+(6−(−2))2−−−−−−−−−−−−−−−−−−√

d=(4)2+(8)2−−−−−−−−−√

d=16+64−−−−−−√

d=8–√0

d=8.9

Hope this helps you!

Step-by-step explanation:

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

So the smallest angle is <P.

Hope it may help :)

Answer:

Step-by-step explanation:

Answer:

The miles travelled is the independent variable.

The cost is the dependent variable.

Step-by-step explanation:

hope this helps ;)

Answer:

Two Eighths

Step-by-step explanation:

One eighth is one part of eight equal sections. Two eighths is one quarter

The solution of number 7! is,

⇒ 5,040

We have to given that,

To simplify 7! and find its value.

Now, by definition of factorial or a number, we get;

⇒ 7!

⇒ 7 × 6 × 5 × 4 × 3 × 2 × 1

Multiply it,

⇒ 5,040

Therefore, The solution of number 7! is,

⇒ 5,040

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Answer:

61

Step-by-step explanation:

because they already have 61 dollars

Answer:

4 hours

Step-by-step explanation:

220/ 55 = 4

Answer:

a smart person is not me clearly lol

Step-by-step explanation:

Answer:

11.1

Step-by-step explanation:

Answer:

If we are estimating, it would be about 98 ÷9 = 10.8 or 11 if you round up

Step-by-step explanation:

hope this helps

Answer:d

Step-by-step explanation:

Answer:

The distance of given two points

d( P₁, P₂)   [tex]= \sqrt{85}[/tex]   = 9.219

Step-by-step explanation:

Explanation:-

Given points are  p₁ ( 0,0)  and p₂ ( 7,6)

The distance formula of given points are

     d   =  [tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1})^{2} }[/tex]

     d  =    [tex]\sqrt{(7-0 )^{2} +(6 -0)^{2} } = \sqrt{49 +36}[/tex]

    d = [tex]\sqrt{85}[/tex]

   d  [tex]= \sqrt{85}[/tex]

Let the time = x

Distance = Speed x time

One train is 75x, the other train 85x

Add together to equal total distance:

75x + 85x = 384

Simplify:

160x = 384

Divide both sides by 160:

x = 384 / 160

x = 2.4 hours