A college student mows lawns to cover his weekly expenses. The student charges ​$10 for each hour he spends .mowing lawns Identify the related and unknown quantities.
Which two unknown quantities in this situation are​ related?
A.
The amount of money the student earns
B.
The number of college students mowing lawns
C.
The number of hours the student spends mowing lawns
D.
The number of lawns the student mows

Answer:

FG = 3

Step-by-step explanation:

let me know if you are still confused!

Answer:

$9 per hour

Step-by-step explanation:

31.50/3.5 = 3150/350 = 630/70 = 63/7 = 9

Hope this helps!      :3

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Answer Step by Step

A. 2(6) - 5(-4) =

(12) - (-20) = 32

negative times negative equals positive

B. 4(-8) - 3(-4)

-32 - (-12) = -20

C. 3(-8) - 4 / (-4) =

(-28) / (-4) = 7

D. -4 - 3(6) / 3 - 5

(-22) / (-2) = -11

Answer:

The volume of cylinder is 58.2 cm³.

Step-by-step explanation:

The formula of volume of cylinder is :

[tex]v = \pi \times {r}^{2} \times h[/tex]

So, you have to substitute the values into the expressions :

[tex]let \: r = 2.1,h = 4.2[/tex]

[tex]v = \pi \times {2.1}^{2} \times 4.2[/tex]

[tex]v = 58.2 \: {cm}^{3} \: (3sf)[/tex]

Answer:

m=-1/2 or m=-2/4

Step-by-step explanation:

The rate of change or slope of the given line is [tex]m=-\frac{1}{2} or m=-\frac{2}{4}[/tex]

Given :

The graph of a line . To find out the slope or rate of change , we pick two points on the line.

Two points are (-8,2) and (4,-4)

Lets apply slope formula

[tex]Slope = \frac{y_2-y_1}{x_2-x_1}[/tex]

(-8,2) is (x1,y1)  

(4,-4) is (x2,y2)

Substitute all the values inside the formula

[tex]Slope = \frac{y_2-y_1}{x_2-x_1}\\slope =\frac{-4-2}{4+8} =\frac{-6}{12} =-\frac{-2}{4} =-\frac{1}{2}[/tex]

The rate of change or slope of the given line is [tex]m=-\frac{1}{2} or m=-\frac{2}{4}[/tex]

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compare the line y=8x-9 to y=mx+b where m is a slope and b is y-intercept

so, the line y=8x-9 has a slope m=8

by definition, the slope of a line parallel to this line will be same, m=8

by definition, the slopes of perpendicular lines are negative reciprocals to each other; so, m = -1/8

Answer: C. The lines intersect but are not perpendicular.

Step-by-step explanation:

The correct option is C, the lines intersect but are not perpendicular.

To determine which statement is true about the two lines whose equations are given below:

y = 3x + 2

y = -4x + 9

We can compare the slopes of the two lines. The slopes of these lines are 3 and -4 respectively.

Two lines are parallel if and only if their slopes are equal. Since the slopes of these lines are not equal, we can eliminate options A.

Two lines are perpendicular if and only if the product of their slopes is -1. The product of the slopes of these lines is -12, which is not equal to -1. Hence, we can eliminate options B.

Since the lines are neither parallel nor perpendicular, they intersect. To determine whether they intersect perpendicularly, we can compute the angle between them using the slopes.

The angle between two lines is given by the formula:

[tex]tan \theta = \dfrac{(m_2 - m_1)}{ (1 + m_1m+_2)}[/tex]

where m₁ and m₂ are the slopes of the two lines.

Substituting the slopes of the given lines, we get:

[tex]tan \theta = \dfrac{|(-4 - 3)} { (1 + (3 \times -4))|} \\[/tex]

tanθ = 7 / 11

Therefore, the correct option is C: the lines intersect but are not perpendicular.

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The missing equation of lines are:

y = 3x + 2

y = -4x + 9

The value of absolute value expression is equal to 133. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The absolute value or modulus of a real number x abbreviated |x| in mathematics, is the non-negative value of x regardless of its sign.

The absolute value of the function will be calculated as,

E =  |−152| + |5| − |−24|

E = 152 + 5 - 24

E = 133

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Answer: 128/15 min or 8.5 min

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Answer:

After 3 hours there is left 22.5 grams of radioactive material.

Step-by-step explanation:

We can calculate the mass of radioactive material remaining after 3 hours, by using the decay equation:           

[tex]N_{t} = N_{0}*e^{-\lambda t}[/tex]     (1)

Where:

[tex]N_{0}[/tex]: is the initial mass = 180 g

[tex]N_{t}[/tex]: is the remaining mass after time t

λ: is the decay constant

The decay constant is given by:

[tex] \lambda = \frac{ln(2)}{t_{1/2}} [/tex]

Where [tex]t_{1/2}[/tex] = 1 h.

By entering λ into equation (1) we hve:

[tex] N_{t} = N_{0}*e^{-\frac{ln(2)}{t_{1/2}} t} [/tex]

[tex] N_{t} = 180 g*e^{-\frac{ln(2)}{1 h} 3 h} = 22.5 g [/tex]

Therefore, after 3 hours there is left 22.5 grams of radioactive material.

I hope it helps you!          

Answer:

Step-by-step explanation:

1 is the answer

Answer:

9 months

Step-by-step explanation:

Given

Fabulous fitness charges a one-time fee of $90 and an additional $25 per month

let the number of months be x

and the total charges be y

y= 25x+90---------1

Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month

let the number of months be x

and the total charges be y

y= 32x+27------------2

Required

The value of x, that is the number of months

Step two:

Equating both equations we have

25x+90=32x+27

collect like terms

25x-32x=27-90

-7x=-63

7x=63

divide both sides by  7

x= 63/7

x= 9 months

Las comparaciones correctas son (c) ( 1/12 ) > ( 1/100 ) y (d) ( 1/4 ) > ( 1/6 ).

Considere las comparaciones,

Para la opción (a),

( 1/8 ) > ( 1/2 )

Ahora, encuentre el valor de cada término en forma decimal.

( 1/8 ) = 0.125 y;

( 1/2 ) = 0.5

Por lo tanto, ( 1/2 ) > ( 1/8 )

Por lo tanto, esta opción es incorrecta.

Para la opción (b),

( 1/3 ) < ( 1/5 )

Ahora, encuentre el valor de cada término en forma decimal.

( 1/3 ) = 0.333 y;

( 1/5 ) = 0.2

Por lo tanto, ( 1/3 ) > ( 1/5 )

Por lo tanto, testa opción es incorrecta.

Para la opción (c),

( 1/12 ) > ( 1/100)

Ahora, encuentre el valor de cada término en forma decimal.

( 1/12 ) = 0.0833 y;

( 1/100 ) = 0.01

Por lo tanto, ( 1/12 ) > ( 1/100 )

Por lo tanto, esta opción es incorrecta.

Para la opción (d),

( 1/4 ) > ( 1/6 )

Ahora, encuentre el valor de cada término en forma decimal.

( 1/4 ) = 0.25 y;

( 1/6 ) = 0.1666

Por lo tanto, ( 1/4 ) > ( 1/6 )

Por lo tanto, esta opción es correcta.

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Answer:

1) 2,6,18,54,162,468 (multiply by 3 each time)

2) 2, -4, 8, -16, 32, -64 (i'm not sure what this is but i'm pretty confident i'm right lol)

3) 1,3,5,7,9,11 (add 2 each time)

4) 1, 2/3 , 4/6  , 8/9 ,  _ _ (i'm sorry i tried my hardest but i don't know this one)

Step-by-step explanation:

hope this helped! so sorry about 4...

The value of d is 2.

We are provided with the following equation,

4 + d = 6                                    

We are supposed to find the value of d in the above equation.

To solve the equation we need to apply basic mathematical operations. The steps that need to be followed to simply this equation are mentioned below,

4 + d = 6

To get the value of d we need to subtract 4 from both the sides of this equation. On substracting  4 from both the sides of this equation, we will get

4 + d - 4  = 6 - 4

⇒ d = 6 - 4

⇒ d = 2

Thus, the value of d in the equation 4 + d = 6 is 2.

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Answer:

r = 14

Step-by-step explanation:

r = -5 + 19

Simplify the right side by subtracting 5 from 19

r = 14

Answer:

6.5

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

The length of the hypotenuse is 5.426 meter

Let the two shorter sides of the right angles triangle be denoted as x meters.

The formula for the area of right triangle is given as,

                     A = ab/2

  Where, a and b are the length of the shorter sides of the triangle

Also we have been given the area of the triangle which is 7.36 sq. meter

Thus ,    A = 7.36

             x^2/2 = 7.36

              x^2 = 14.72

                x = 3.84

Now according to the Pythagoras theorem,

   H = √P^2 + B^2

Where,  H = hypotenuse

               P = perpendicular

              B = base

Now putting the required values we get

    H = √x^2 + x^2

        = √2x^2

        = x√2

       = 5.426 meter

Hence the length of the hypotenuse is 5.426 meter

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Answer:

-10

Step-by-step explanation:

20-34=-14, 8/2 is just 4, so add 4 to -14 which = -10

Answer:

lol ok

Step-by-step explanation:

Answer:

ok Y?

Step-by-step explanation:

Answer:

38.24

Step-by-step explanation:

You need to do 45.3-7.06 and you get x

Let us consider,

A special [tex]8-[/tex]sided die is marked with the numbers [tex]1[/tex] to [tex]8[/tex].

The odd numbers on the die are [tex]1,3,5,7.[/tex]

The even numbers are [tex]2,4,6.[/tex]

For the experimental sequence of [tex]15[/tex] rolls.

There are [tex]9[/tex] odd number  out of 15, which is [tex](3,5,7,1)[/tex].

So the experimental  probability is,

       [tex]\frac{9}{15} =\frac{3}{5} \\\\=0.60\\[/tex]

[tex]\implies0.60=60[/tex] %

The theoretical probability given that there are odd numbers [tex](1,3,5,7)[/tex] out of [tex]8[/tex] on the dice should be [tex]50[/tex] %  because [tex]\frac{1}{2}[/tex] of the numbers are prime.

Thus,

The theoretical probability is [tex]50[/tex] % .

Then,

         [tex]60[/tex]%[tex]-50[/tex]%[tex]=10[/tex]%

Hence, the experimental probability of rolling an odd number is [tex]60[/tex]%, which is [tex]10[/tex] % more than the theoretical probability [tex]50[/tex]%.

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Answer:

60%,  10%

Step-by-step explanation:

Plato/Edmentum

Answer: y=5x+ 10

Step-by-step explanation:

40-30/6-4=10/2=5

each time x moves 1 it moves 5 vertically so

4, 30

3, 25

2, 20

1, 15

0, 10

Answer: 4/5

Step-by-step explanation:

80%=

100% * 80/100 =

1 * 80/100=

80/100=

8/10=4/5