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3 years ago

6. Persevere Mr. Alton wants to be

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

7 0

Answer:

Each ticket it 9$

Step-by-step explanation:

3 by 3 is 3 times 3

3 times 3 is 9

$81/9 is 9

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Which Product will result in a cell or difference of cubes? Pls do not give any joke answers

Rom4ik [11]

Answer:

(x-9)(x²+9x+81); it'll give a difference of cubes

Step-by-step explanation:

Generally, the difference of cubes formula is (a³-b³)=(a-b)(a²+ab+b²), and the third option is the only one which fits it; with "a"= x and "b"= 9.

*The sum of cubes formula is (a³+b³)=(a+b)(a²-ab+b²); for future reference.

5 0

3 years ago

Read 2 more answers

Giving 100 points.

Nitella [24]

Answer:

1. Cost per customer: 10 + x

Average number of customers: 16 - 2x

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

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

Step-by-step explanation:

Given information:

$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

Part 1

Cost per customer: 10 + x

Average number of customers: 16 - 2x

Part 2

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

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

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

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

Part 3

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.

Test the roots 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 solution to the inequality is between the roots:

-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 increase in cost. It does not confirm that if the cost is reduced (less than $10) the number of customers increases per hour.]

Cost per customer:

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

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

Therefore, the possible buffet prices Noah could charge are:

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

8 0

2 years ago

Indi bought a shirt for $30. He paid 7% sales tax. How much sales tax did Indie pay?

ivann1987 [24]

He paid $ 32.10

because

07 * 30 = 2.10

2.10 + 30 = $ 32.10

7 0

3 years ago

90.5 rounded to the nearest one

sladkih [1.3K]

Answer:

Step-by-step explanation:

90.5 needs to be a whole number, and if it ends in 5 you round it up

5 0

3 years ago

Read 2 more answers

What am I supposed to do hear im confused

natulia [17]

Answer:

Step-by-step explanation:

In No.1

First you find the total number of girls which is 56-20 =36 girls in total

So to get number of boys who watched tennis 20-13=7 boys watched tennis

To get number of girls who didnt watch you do 36-17=19 girls who watched

Then add o get the totals

No.2

First you get the total number of male 80-47=33 males

Next you find the number of females doing phyisics 33-19=14 females

Next you find the number of females doing chemistry by 47-(18 + 14)=15 females

To get the number of males diong chemistry 21-15=6 males

Number of males doing biology 33-(19+6)=8

Then find the remaining totals

No. 2 (b)

Because there is a high number of students doing physics and most of them are female

7 0

4 years ago

Read 2 more answers