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3 years ago

9

Sara had $108 to spend on 8 books. After buying them she had $12 left. Let b represent the cost of each book. Which equation rep

resents this situation?

1 answer:

FrozenT [24]3 years ago

5 0

Answer:

12

Step-by-step explanation:

you take 108-12=96

then you take 96/8=12

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2. Which of the following systems of inequalities represents the graph?

Rom4ik [11]

Answer:

Option: D is the correct answer.

D) –2x + y ≥ 4

x + y < 2

Step-by-step explanation:

We are asked to find the linear inequality that represents the following graph.

Clearly from the graph we could observe that one line is dotted and the other is solid line.

i.e. one inequality is strict while the other is a inequality with equality sign.

<u>Dashed line:</u>

It passes through (0,2) and (2,0).

Hence, the equation of line is:

$y-2=\dfrac{0-2}{2-0}\times (x-0)\\\\\y-2=\dfrac{-2}{2}\times x\\\\y-2=-x\\\\x+y=2$

As the shaded region is towards the origin.

Hence, the inequality will be:

x+y<2.

<u>Solid line:</u>

The line passes through (-2,0) and (0,4).

hence equation of line is:

$y-0=\dfrac{4-0}{0-(-2)}\times (x+2)\\\\$

i.e

$y=\dfrac{4}{2}\times (x+2)\\\\y=2\times (x+2)\\\\y=2x+4\\\\-2x+y=4$

Now, as the shaded region is away from the origin hence the inequality which will be used is:

$-2x+y\geq 4$

Hence, option: D is the correct answer.

D. –2x + y ≥ 4

x + y < 2

8 0

3 years ago

Read 2 more answers

Why does a lawn mower live such a hard life?

Doss [256]

Because it always get pushed around!

3 0

3 years ago

Read 2 more answers

DIA [1.3K]

Answer:

is there a figure for this question?

5 0

4 years ago

Mashcka [7]

To solve this we are going to use the formula for compounded interest: $A=P(1+ \frac{r}{n})^{nt}$
where
$A$ is the final amount after $t$ years
$P$ is the initial amount
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$t$ is the time in years

We know for our problem that $P=1380$ , $r= \frac{5}{100} =0.05$ , and $t=3$ . Since the interest is compounded daily, it is compounded 365 times in year; therefore, $n=365$ . Lets replace those values in our formula to find $A$ :
$A=P(1+ \frac{r}{n})^{nt}$
$A=1380(1+ \frac{0.05}{365})^{(365)(3)}$
$A=1603.31$

We can conclude the amount in Diane's after 3 years will be <span>$1,603.31</span>

4 0

3 years ago

Solve the following inequality

Burka [1]

First we must get rid of the -3 in the denominator
to do this you need to multiply both sides by -3

2x - 1 <span>< -5
now add 1 to both sides

2x </span><span>< -4

finally, divide both sides by 2

x </span><span>< -2

i hope this helps !!</span>

7 0

3 years ago