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3 years ago

10

Holiday Time! Crazy Time! You have to work 7 days in a row. You work 8 hours a day every single day for 7 days straight. Your wa

ge rate is $12 per hour. How much are your gross wages?

2 answers:

Ulleksa [173]3 years ago

8 0

I think its 672 because * hrs a day is 56 and when you multiply that by 12 its 672<span />

algol133 years ago

8 0

So if you work 7 hours a day for 8 days in a row we get 56 hours, then multiply that by $12 to find your earnings which is 672.

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Giving 100 points.

Nitella [24]

Answer:

1. <u>Cost per customer</u>: 10 + x

<u>Average number of customers</u>: 16 - 2x

$\textsf{2.} \quad -2x^2-4x+160\geq 130$

3. $10, $11, $12 and $13

Step-by-step explanation:

<u>Given information</u>:

$10 = cost of buffet per customer
16 customers choose the buffet per hour
Every $1 increase in the cost of the buffet = loss of 2 customers per hour
$130 = minimum revenue needed per hour

Let x = the number of $1 increases in the cost of the buffet

<u>Part 1</u>

<u></u>

<u>Cost per customer</u>: 10 + x

<u>Average number of customers</u>: 16 - 2x

<u>Part 2</u>

The cost per customer multiplied by the number of customers needs to be <u>at least</u> $130. Therefore, we can use the expressions found in part 1 to write the <u>inequality</u>:

$(10 + x)(16 - 2x)\geq 130$

$\implies 160-20x+16x-2x^2\geq 130$

$\implies -2x^2-4x+160\geq 130$

<u>Part 3</u>

To determine the possible buffet prices that Noah could charge and still maintain the restaurant owner's revenue requirements, solve the inequality:

$\implies -2x^2-4x+160\geq 130$

$\implies -2x^2-4x+30\geq 0$

$\implies -2(x^2+2x-15)\geq 0$

$\implies x^2+2x-15\leq 0$

$\implies (x-3)(x+5)\leq 0$

Find the roots by equating to zero:

$\implies (x-3)(x+5)=0$

$x-3=0 \implies x=3$

$x+5=0 \implies x=-5$

Therefore, the roots are x = 3 and x = -5.

<u>Test the roots</u> by choosing a value between the roots and substituting it into the original inequality:

$\textsf{At }x=2: \quad -2(2)^2-4(2)+160=144$

As 144 ≥ 130, the <u>solution</u> to the inequality is <u>between the roots</u>:

-5 ≤ x ≤ 3

To find the range of possible buffet prices Noah could charge and still maintain a minimum revenue of $130, substitute x = 0 and x = 3 into the expression for "cost per customer.

[Please note that we cannot use the negative values of the possible values of x since the question only tells us information about the change in average customers per hour considering an <em>increase </em>in cost. It does not confirm that if the cost is reduced (less than $10) the number of customers <em>increases </em>per hour.]

<u>Cost per customer</u>:

$x =0 \implies 10 + 0=\$10$

$x=3 \implies 10+3=\$13$

Therefore, the possible buffet prices Noah could charge are:

$10, $11, $12 and $13.

8 0

2 years ago

If 3x+2=5/9, what is the value of −3x+8?<br><br>Group of answer choices

allsm [11]

Answer:

= 4

Step-by-step explanation:

first lets find the value of x in 3x+2=5/9

3x+2=5/9

3x = $\frac{5}{9}$ -2

3x = $\frac{3}{9}$

3x = $\frac{1}{2}$

x = $\frac{1}{2 * 3\\ }$

x = $\frac{1}{6}$

$\frac{1}{6}$ can also be written as $6^{-1}$

−3x+8

-3 ( $\frac{1}{6}$ ) +8

$\frac{-3}{6}$ +8

= 4

3 0

3 years ago

liraira [26]

C supplementary angles

4 0

3 years ago

Factor ab + bc + b2 + ac.

Alona [7]

<span>ab + bc + b</span>²<span> + ac =
(b</span>² + bc<span>)+(ab + ac) =
b(b+ c)+a(b + с) =
(b + c)(b + a)</span>

5 0

3 years ago

Read 2 more answers

In a survey of 120 8th graders, 84 liked math, 73 liked science and 23 liked math but not science. how many students disliked bo

hammer [34]

24
We can divide the 8th graders into 4 groups. They are:
1. Like both math and science.
2. Like only math.
3. Like only science.
4. Don't like either math or science.
The sum of the people in all 4 groups will add up to 120. So let's see how many are in each group.
We've been given 23 as the number of people who like only math (group 2).
And since we know that 84 people like math, that means that 84 - 23 = 61 people are in group 1. And since we know that 73 people like science, that means that 73 - 61 = 12 are in group 3. So of the 4 groups, we now know.
1. Like both math and science (61 people).
2. Like only math (23 people).
3. Like only science (12 people).
4. Don't like either math or science (unknown).

So for the people left in group 4 (don't like either subject) that will be 120 - 61 - 23 - 12 = 24.

5 0

3 years ago