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4 years ago

What is your budget?

Mathematics

2 answers:

Tamiku [17]4 years ago

7 0

The answer is a. budgeting is planing what you want to spend.

MrMuchimi4 years ago

3 0

C. A record of everything you earn.

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3х + 5 = 20 what is x ?

Tems11 [23]

X=5 is the answer to this equation. you multiply 5 by 3 which is 15 and then add 5, giving you 20.

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

The common end point of the sides of an angle

DaniilM [7]

The common endpoint of two rays at which an angle is formed. Vertical Angles - Pairs of angles formed where two lines intersect. These angles are formed by rays pointing in opposite directions, and they are congruent. Hope this is what you were looking for <3

7 0

3 years ago

Find the value of (-4)

hjlf

Answer: (4)

4 Absolute vale means how many places a number is away from 0 "zero". The absolute value of (-4), written as abs(-4), is equal to 4 because -4

Step-by-step explanation:

To represent the absolute value of a number (or a variable), we write a vertical bar on either side of the number. For example, the absolute value of 4 is written as |4|.

Also, the absolute value of -4 is written as |-4|. As we discussed earlier, the absolute value results in a non-negative value all the time.

8 0

3 years ago

Martha needs 1.25 cups of flour she has 0.75 cups how much flour does Martha need

labwork [276]

Answer:

Step-by-step explanation:

1.25 - .75 = .5 cups of flour

7 0

3 years ago

Read 2 more answers