4 1/4 + 1 2/3 equals

An arrangement of flowers originally priced at $48.00 is marked down to $39.00. What is the percent of decrease, rounded to the

Mashcka [7]

The answer is C

So how?

I multiplied 48*.19= 9.12 then subtracted that from 48 and got 38.88 which rounds to 39

C is the answer

I hope this helps! :D

6 0

2 years ago

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

1 year ago

This year the boys’ basketball team won 4 times as many games as it lost. The team played a total of 40 games. How many games di

Salsk061 [2.6K]

Answer:

The team won 32 games.

Step-by-step explanation:

x = games won

y = games lost

z = total games = 40

x = 4y Won 4 times as many games as it lost

x + y = 40 Games won + games lost = Total games played

4y + y = 40 Sub 4y in for x, as established previously

5y = 40

y = 8

x = 4y

x = 4(8)

x = 32

The team won 32 games.

8 0

2 years ago

Select the correct answer. The grounds crew at a college is installing a path around a pond on campus as shown. What is the peri

olchik [2.2K]

Answer:

B

Step-by-step explanation:

You are combining like terms.

1.) find all of the #x³ and there is only one and that is -x³ so that limits the problem to B or D.

2.) now you find all of the #x² and there are three of them being 10x², -x², and 4x². Now that you have identified them you will add them together to get a sum of 13x²

you don't have to do anymore of the question because D does not have 13x² so it is B.

7 0

2 years ago

Help me simplify this

stepan [7]

Do you want the whole solution simplified or the alternative form?

5 0

2 years ago

4 1/4 + 1 2/3 equals​

4 1/4 + 1 2/3 equals