How many times does 3 go into 136 mixed fraction

Can somebody help me with this..... Please

zepelin [54]

So we can think of this as two semi circles and a rectangle. The rectangle has two exposed sides, meaning there are only two sides that should be accounted for in the overall perimeter. So for the rectangle, the exposed perimeter is 720. Because total there is a full exposed circle (2 half circles) we can find the perimeter (circumference) and add it to 720. In order to find the circumference we multiply diameter by pi. This is approximately 691.15. This added to the 729 gives us a total of 1411.15

4 0

3 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

2 years ago

The California license plate has one number followed by three letters followed by three numbers. How many different license plat

spin [16.1K]

Answer:

175760000

Step-by-step explanation:

There are 26 different letters and 10 different single digits that are a possibility.

Multiply all the possibilities together to get the total possible results.

10x26x26x26x10x10x10

Multiplying all those numbers gets 175760000 different possibilities.

3 0

4 years ago

90+15x+8x-2=180 solve for x

Sergio [31]

Answer:

4

Step-by-step explanation:

88+23x=180

23x=180-88

23x=92

x=92/23

x=4

Hope this helped!

4 0

3 years ago

Classify the following triangle. Check all that apply

r-ruslan [8.4K]

Answer:

E. Isosceles Triangle

Step-by-step explanation:

It is because it has 2 equal sides and 2 equal angles.

4 0

2 years ago