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3 years ago

My question is that fourty-one plus eighty-four equals what?

Mathematics

2 answers:

ivann1987 [24]3 years ago

5 0

Answer:

41+84=125 so therefore your answer is 125.

DochEvi [55]3 years ago

4 0

Answer:

41+84=125

Step-by-step explanation:

Forty one is equal to 41, and eighty-four is equal to 84. Then since it says "plus", we add. If you add the two together, you should be left with the answer of 125.

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What is the missing number below in the solution to 968 divided by 10

Advocard [28]

Answer: 484/5

Step-by-step explanation:

For this word problem, it seems confusing with the wording but the equation would just be:

968÷10=x

solving for x, we get 484/5.

6 0

2 years ago

A triangle has angle measurements of 61°, 84°, and 35°. is this triangle isosceles?

ch4aika [34]

Answer: No

Step-by-step explanation:

This is not an isosceles triangle because there are different angle measurements. The rule of an isosceles triangle is that it must always have two equal sides and angles.

8 0

2 years ago

Select each pair of functions that are inverses of each other

svlad2 [7]

Answer:

The first two choices only: A and B.

Step-by-step explanation:

The inverses are the ones with one relation having point (x,y) and the other relation having point (y,x). This most obvious when looking at points on a table or a list of points.

So the first pair are inverses because per point (x,y) on the first list you have (y,x) on the second list.

Examples:

1st list contains (-5,-9) while second list contains (-9,-5).

1st list contains (3,7) while the second list contains (7,3).

As long as (a,b) is in the first list and (b,a) is in the second or vice versa, then the pair of relations are inverses. So the first choice contains inverses.

Now lets talk about the pair of functions given in function notation.

Let's start with the first.

y=x+7

Extend the first idea more. Just swap x and y and then see after solving for y if what it equals is what g equals then f and g are inverses in the second choice.

x=y+7

Subtract 7 on both sides:

x-7=y

y=x-7

This is what g equals so the second choice is an answer.

The last choice does not contain a pair of inverses. Example: (2,3) is in the first list but (3,2) is not in the second.

6 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:

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