kelly is training for one marathon in week one she runs 7 miles in week two she runs 10 miles in week 3 she runs 13 miles given that she keeps the same pattern find the total distance kelly has run after practicing for 7 weeks

Answer:

1. [tex]x[/tex] = 9

2. [tex]h[/tex] = 2

3. Infinitely Many Solutions

4. No solution

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

1.) 5(2[tex]x[/tex] + 6) = 8[tex]x[/tex] + 48

Step 1: Expand.

10[tex]x[/tex] + 30 = 8

Step 2: Subtract 30 from both sides.

10[tex]x[/tex] = 8

Step 3: Simplify 8[tex]x[/tex] + 48 − 30 to 8[tex]x[/tex] + 18.

10[tex]x[/tex] = 8

Step 4: Subtract 8[tex]x[/tex] from both sides.

10[tex]x[/tex] − 8

Step 5: Simplify 10[tex]x[/tex] − 8[tex]x[/tex] to 2[tex]x[/tex].

2[tex]x[/tex] = 18

Step 6: Simplify [tex]\frac{18}{2}[/tex] to 9.

[tex]x[/tex] = 9

2.) −3(8 + 3[tex]h[/tex]) = 5[tex]h[/tex] + 4

Step 1: Expand.

−24 − 9[tex]h[/tex] = 5

Step 2: Add 24 to both sides.

−9[tex]h[/tex] = 5

Step 3: Simplify 5[tex]h[/tex] + 4 + 24 to 5[tex]h[/tex] + 28.

−9[tex]h[/tex] = 5

Step 4: Subtract 5[tex]h[/tex] from both sides.

−9[tex]h[/tex] − 5

Step 5: Simplify −9[tex]h[/tex] − 5[tex]h[/tex] to −14[tex]h[/tex].

−14[tex]h[/tex] = 28

Step 6: Divide both sides by −14.

[tex]h[/tex] = [tex]-\frac{28}{14}[/tex]

Step 7: Simplify [tex]\frac{28}{14}[/tex] to 2.

[tex]h[/tex] = 2

3.) 2([tex]y[/tex] − 6) = 3([tex]y[/tex] − 4) − [tex]y[/tex]

Step 1: Expand.

2[tex]y[/tex] − 12 = 3

Step 2: Simplify 3[tex]y[/tex] − 12 − [tex]y[/tex] to 2[tex]y[/tex] − 12.

2[tex]y[/tex] − 12 = 2 − 12

Step 3: Since both sides equal, there are infinitely many solutions.

Infinitely Many Solutions

4.) 8[tex]x[/tex] − 4 = 2(4[tex]x[/tex] − 4)

Step 1: Expand.

8[tex]x[/tex] − 4 = 8

Step 2: Cancel 8[tex]x[/tex] on both sides.

−4 = −8

Step 3: Since −4 = −8 − 4 = −8 is false, there is no solution.

No solution

~I hope I helped you! Good luck :)~

Answer:

D

Step-by-step explanation:

To find out whether a graph is a function or not, you can use the vertical line test, which means if you were to draw a vertical line on the graph at any point,  if it would cross over 2 lines, it's not a function. D is the only graph that wouldn't fail the vertical line test.

Answer:

its a

Step-by-step explanation:

I went to the store. Jennifer wanted to go, too.

Answer:

y = -3

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis. The graph is seen crossing the y-axis at y = -3, the that y-intercept is at y = -3.

Answer:

12/20 since the counter of green is of 12 out of 20 to be drawn.

Answer:

The slope is 1/4.

Step-by-step explanation:

M = Y2 - Y1

X2 - X1

M = 6 - 2

9 - (-7)

M = 4

16

M = 1

4

Answer:

5.693508715645386

Step-by-step explanation:

Answer:

Answer is 5.69350871565

Step-by-step explanation:

Answer:

=6

Step-by-step explanation:

-1^2 - 5(-1) + 2

-1 - (-5) + 2

-1 +5 + 2

6

Answer:

g=5x−1

Step-by-step explanation:

Let's solve for g.

g(−1)=−12−5x+2

Step 1: Divide both sides by -1.

−g

−1

=

−5x+1

−1

g=5x−1

Answer:

g=5x−1

Answer:

the first is 26 and the second is 84.5 or 84 or 85 depending or if you need to round it and whether you round up or down

Answer:

26 cups of flour for the first pizza, 2 pizza's made with 13 cups of flour

Step-by-step explanation:

One Pizza uses 6.5 cups of flour (divide 39/6)

For the second fill in the blank, multiply 6.5*4 to get 26

For the last one, divide 13 by 6.5 to get 2

Hope this helps!

Answer: 14

Step-by-step explanation:

Answer:

6x-2

Step-by-step explanation:

Answer:

alternate exterior

Answer:

Step-by-step explanation:

A.

X is greater than negative eight and less than eight and the dots are marking the numbers on the number line

Answer:

A - Z = X

A - Z + Z = X + Z

A = X + Z

Answer:

I believe the answer would be using the form of y= mx+b, b is y intercept and slope is m. It would end up looking like y= 2/3x+1

Step-by-step explanation:

I think this is how a linear equation looks like but I'm a little rusty. If you have notes it probably says what I already stated. Good luck! :)

Answer:

x = 0.2(10^y/a).

Step-by-step explanation:

y = alog(5x)

y = log(5x)^a)   By the definition of a log:

(5x)^a  = 10^y

5x = (10^y) ^ 1/a

x = 0.2(10^y/a)

Answer:40

Step-by-step explanation:

Answer:same number i think

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

the equation of a function/line is y=mx+b where

b is the y intercept

m is the slope

Answer:

-13834.65819

Step-by-step explanation:

here you go

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Suppose that the number of the people in the party is :

[tex]x[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

20 % of x equals :

[tex] \frac{20}{100} \times x = 0.2x \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus ;

[tex]0.2x = 6[/tex]

[tex] \frac{2}{10}x = 6 \\ [/tex]

Multiply sides by 10

[tex]10 \times \frac{2}{10} x = 10 \times 6 \\ [/tex]

[tex]2x = 60[/tex]

Divided sides by 2

[tex] \frac{2}{2} x = \frac{60}{2} \\ [/tex]

[tex]x = 30[/tex]

There were 30 people in the party.

Thus there are ;

[tex]30 + 6 = 36[/tex]

People at the party now.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

[tex]f(g(x))=-6x[/tex]

Step-by-step explanation:

Composite Function

Given f(x) and g(x) as real functions, the composite function named [tex](f\circ g)(x)[/tex] is defined as:

[tex](f\circ g)(x)=f(g(x))[/tex]

It can simply be found by substituting g into f.

Our functions are:

[tex]f(x)=2x-4[/tex]

[tex]g(x)=-3x+2[/tex]

Substituting g into f:

[tex]f(g(x))=2(-3x+2)-4[/tex]

Operating:

[tex]f(g(x))=-6x+4-4[/tex]

Simplifying:

[tex]\boxed{f(g(x))=-6x}[/tex]

Answer:

The number of full hours he must babysit to reach his goal of $200 is 5 hours

Step-by-step explanation:

Let x be the no. of hours he must babysit to reach his goal of $200.

Cost for working 1 hour at coffee shop = $11

Cost for working 15 hour at coffee shop = [tex]11 \times 15=165[/tex]

Cost for working 1 hour babysitting = $8

Cost for working x hour babysitting = 8x

We are supposed to find the number of full hours he must babysit to reach his goal of $200.

165+8x=200

8x=200-165

[tex]x=\frac{200-165}{8}[/tex]

x=4.375

Hence The number of full hours he must babysit to reach his goal of $200 is 5 hours

Answer: 3.75

Step-by-step explanation:

Hope this helps

Answer:

-15

Step-by-step explanation:

-12-3=x

-15=x

x=-15

Answer:

X = -15

Step-by-step explanation:

-12 = x + 3

- 3        - 3

-----

-15 = x

I hate to ask, but please give me Brainliest. I need it to level up <3.