A car is driven 600 miles and uses 20 gallons of gas. If gas is $1.05 per gallon, what is the gasoline cost per mile?

Hiro bought a small carton of milk at lunch. If the approximate dimensions of the milk carton are shown what is the minimum amou

faltersainse [42]

Answer:

$C.\ 104\ in^2$

Step-by-step explanation:

At first, the question looks like an optimization problem, but since all the dimensions of the carton are given, we only have to compute the total area of the given figure.

Let's calculate the front (and back) areas, which are rectangles

$A_1=(6.5)(3)=19.5\ in^2$

Now with the lateral rectangles which happen to have the very same dimensions

$A_2=19.5\ in^2$

Next, we compute the front and back triangles of base 3 in and height 1.5 in

$A_3=\frac{1}{2}(3)(1.5)=2.25\ in^2$

Now, the lateral inclined rectangles of base 3 in and height 2 in

$A_4=(3)(2)=6\ in^2$

Finally, the base rectangle who happens to be a square of side 3 in

$A_5=(3)(3)= 9\ in^2$

This last area, unlike all others, is not doubled because its counterpart is inside the carton and is not part of the lateral area

Our total area of cardboard is

$A_t=2(19.5)+2(19.5)+2(2.25)+2(6)+9=103.5\ in^2$

The closest option to this answer is

$C.\ 104\ in^2$

5 0

3 years ago

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Match each expression to its simplified form 9(x+2)

morpeh [17]

Answer:

You forgot to add a picture-

Step-by-step explanation:

7 0

3 years ago

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• Yogi is planning a concert for his animal friends. He arranges his chairs and if he makes 8 rows he was

qaws [65]

Answer: Yogi has 59 chairs.

Step-by-step explanation: For the question, it's a lot of guess an check. 10 is a good place to start. Times 10 by 8 and add 3. Then times 6 by 10 and add 17. Does it equal the same number? No. Is it close? Yes. So maybe try going up a few numbers or down a few. You'll eventually get 7 which when you multiple 7 by 8 and add 3 and multiple 6 by 10 and add 17, you'll get 59.

5 0

3 years ago

Only answer 16, and 17 and show how you set up the problems

Setler79 [48]

Answer:

16a) $1,320 (Set-up below)

16b) (See explanation below)

17a) $21.90 (Set-up below)

17b) $708.10 (See explanation below)

Step-by-step explanation:

16a)

33,000 · 0.04 = 1,320

Set-up:

Whenever you are solving equations with percentages, it is easier to change them into decimal form. 4% is equal to 0.04 so we can multiply 33,000 by 0.04 to find the commision price.

16b)

Since a commision is taken out of the total of a sale, we know that if you doubled to sale, the commission would also double unless the percentage the salesperson is getting goes down or up. If the percentage does not change, they would still get double because they would be getting a larger amount because the total is larger.

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17)

a)

110 · 0.03 = 3.3

275 · 0.03 = 8.25

200 · 0.03 = 6

145 · 0.03 = 4.35

3.3 + 8.25 + 6 + 4.35 = $21.90

Set-up:

Whenever you are solving equations with percentages, it is easier to change them into decimal form. 3% is equal to 0.03 so we can multiply each cost by 0.03 to find the commision price per item. After, we add up each separate commision price to get the total commision.

b)

110 + 275 + 200 + 145 = 730

730 - 21.9 = $708.10

Quick Explanation:

The store would only earn $708.10 because of the commision they are paying Heidi is equal to $21.90. The total sale cost earned is $730.00 and the commision comes out of that cost, the store only gets $708.10

Note:

If you have any questions or concerns, feel free to reach out to me in the comments!

4 0

2 years ago

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ Answer

Andre45 [30]

For what? Sorry is there an attachment?

5 0

3 years ago

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