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anyanavicka [17]

3 years ago

9

This week, Sam spent 2 3/4 hours on his homework. This was 2 2/3 times less than last week. How many hours did he spend on homew

ork last week?
Show your work.

1 answer:

Semenov [28]3 years ago

3 0

Answer:

7.315 hours

Step-by-step explanation:

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Look at the picture<br>

Sonbull [250]

$\large\displaystyle\text{$\begin{gathered}\sf 9|x-8| < 36 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Divide \ both \ sides \ by \ 9. \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \frac{9(|x-8|)}{9} < \frac{36}{9} \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf |x-8| < 4 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Solve \ Absolute \ Value. \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf |x-8| < 4 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf We \ know \ x-8 < 4 \ and \ x-8 > -4 \end{gathered}$}$

<u> </u>

$\large\displaystyle\text{$\begin{gathered}\sf x-8 < 4 \ (Condition \ 1) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x-8+8 < 4+8 \ (Add \ 8 \ to \ both \ sides) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x < 12 \end{gathered}$}$

<u> </u>

$\large\displaystyle\text{$\begin{gathered}\sf x-8 > -4 \ (Condition \ 2) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x-8+8 > -4+8 \ (Add \ 8 \ to \ both \ \ sides) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x > 4 \end{gathered}$}$

<u> </u>

<u /> $\underline{\boldsymbol{\sf{Answer}}}$

$\boxed{\large\displaystyle\text{$\begin{gathered}\sf x < 12 \ and \ x > 4 \end{gathered}$} }$

$\large\displaystyle\text{$\begin{gathered}\sf Therefore,\bf{\underline{the \ correct \ option}} \ \end{gathered}$}\large\displaystyle\text{$\begin{gathered}\sf is \ \bf{\underline{"A"}}. \end{gathered}$}$

6 0

2 years ago

Please use ( y = mx +b )

Sindrei [870]

Answer:

y= 2/5-1

Step-by-step explanation:

You get the 2/5 because you go 2 to the right and go 5 up, the -1 is because the x-int is at -1.

6 0

3 years ago

Organize your data and find the rate of change.

LuckyWell [14K]

A .E is 7 inches for the left arm
E is 8 1/2 inches for the left foot
the inputs look like the length of the arm (ie x) the outputs are the length of the foot
<span>rate of change=<span>change in y change in x</span></span> use the data you gathered or this equation they give you = 0.860 • + 3.302

B. find the difference in y, then the difference in x, then divide (y over x) to get the slope
8-7/7 1/2-6 1/2 = 1/1 =1

C.you plug in any (x,y) point you used to find the slope
Solve for B
y = mx+b y = 1*x + b 7.5 = 1*8 + b b =
7.5 - 8 = -0.5
<span>y = x - 0.5</span>

Hope this helps

8 0

3 years ago

4. Using the graph at right, determine how long it<br> takes to mow an acre of grass.

kirill115 [55]

Answer:

I think 0.7

Step-by-step explanation:

3 0

2 years ago

Please Answer Quick 70 Points !

Kipish [7]

Answer:

The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true

The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false

Step-by-step explanation:

we have

$2x-y=-5$ -----> First equation

$x+3y=22$ -----> Second equation

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both graphs

The solution is the point (1,7)

The ordered pair (7,19) lie on the first line, so is a solution of the first equation

see the attached figure

<u><em>Verify each statement</em></u>

case 1) The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true

The statement is true

case 2) The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true

The statement is false, because the ordered pair (7,19) not lie on the second line

case 3) The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false

The statement is true

case 4) The ordered pair (7, 19) is a solution to the system because it makes both equations true

The statement is false,because it makes only the first equation true

6 0

3 years ago