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3 years ago

Took a photo to use

Mathematics

1 answer:

ruslelena [56]3 years ago

5 0

Answer:

x=9

<A=23

<B= 69

Step-by-step explanation:

1. 2x+5+3(2x+5)=92 2. 2x+5+6x+15=92 3. 8x+20=92 4. 8x=72 5. x=9

<A= 2(9)+5=18+5=23

<B= 3(2(9)+5)=3(23)=69

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HELP!! REAL answers only please.

Alika [10]

Answer:

Step-by-step explanation:

So the angle of 40 is a vertical angle with the one opposite of it, meaning that the triangle on the left would have two values of 40 and 41, to find the value of the 3rd angle of the left triangle, you can subtract 40 and 41 from 180 which is the total number of degrees in a triangle to get 99, then you can find the degrees of the triangle on the right's bottom angle by subtracting 99 from 180, meaning the bottom left angle would be 81, then you can do the same to find the other angle by subtracting 114 from 180 to get 66. Lastly you can add 81 and 66 to get 147, then subtracting 147 from 180 you would get x=33

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3 years ago

A rectangular cooler made of MycoFoam is 13 inches wide, 7 inches tall, and 7 inches long. what is its surface area?

yarga [219]

To find area u have to multiply the sides so it should be 7x7 or 13x7 it shouldnt be 13x7x7

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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

Tara has 4 4/5 feet of rope. Part A: How many 2/5 foot pieces can Tara cut from the 4 4/5 feet of rope? Show your work. Part B:

aleksley [76]

Answer:

Part A

12 pieces

Part B

Tara can cut Twelve 2/5 foot pieces can be cut from 4 4/5 feet of rope.

Step-by-step explanation:

Part A: How many 2/5 foot pieces can Tara cut from the 4 4/5 feet of rope?

This is calculated as:

4 4/5 feet of rope ÷ 2/5 foot pieces

= 24/5 ÷ 2/5

= 24/5 × 5/2

= 12

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given

The quotient in Part A is 12

Therefore, this can be interpreted as:

Tara can cut Twelve 2/5 foot pieces can be cut from 4 4/5 feet of rope.

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4 years ago

A store sells 16 notebooks $7.04 at te same rate what is the cost of 4 notebooks

wolverine [178]

4 x 7.04 ...................................

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3 years ago

Took a photo to use ​

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