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Ede4ka [16]
3 years ago
8

The density of a certain material is such that it weighs 70 pounds for every 8.5 gallons of volume. Express this density in kilo

grams per liter. Round your answer to the nearest hundredth.
Mathematics
1 answer:
STALIN [3.7K]3 years ago
4 0

The correct answer is 0.99kg/L

Explanation:

To find the density, the first step is to convert the weight (mass) and the volume into the appropriate units.

The volume is 8.5 gallons and this needs to be converted to litters. In this case, multiply the volume in gallons by 3.785 because each gallon contains 3.785 liters.

8.5 x 3.785 = 32.1725 liters

The mass is 70 pounds and this needs to be converted to kilos. In this case, divide the pounds by 2.204 considering each kilo contains 2.204 pounds.

70 ÷ 2.2046 = 31.751 kilos

Now, find the density by dividing the mass into the volume.

Density= 31.751 kg ÷ 32.1725 L

Density = 0.98 kg/L

This means the density is 0.9.868 kg/L and this can be rounded as 0.99 kg/L

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Emma ran 3 miles in 27 minutes how long would it take her to run 5 miles?
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4 0
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What is 2 5/12 -(-2 1/6) Express the answer in simplest form.
VladimirAG [237]
Answer:
= 29/12 − -13/6

<span>= ((29 × 6) − (-13 × 12)) / (12 × 6) </span>

= (174 - -156) / 72

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3 0
3 years ago
PLEASE HELP!!!!!!! A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a
Marianna [84]

Answer:

The answer to your question is car 1 = 30 gal and car 1 = 20 gal

Step-by-step explanation:

car 1 = a

car 2 = b

Efficiency of car 1 = 35 mi/gal

Efficiency for car 2 = 20 mi/gal

Total distance = 1450

Total gas consumption = 50 gal

Equations

                          35a + 20b = 1450            ------- (I)

                             a   +     b =  50               ------- (II)

Solve by elimination

Multiply equation II by -35

                          35a  + 20b  = 1450

                         -35a  - 35b   = -1750

Simplify

                            0    - 15b    =  -300

Solve for b

                                        b =  -300/-15

Result

                                        b = 20

Substitute b in equation II to find a

                               a +  20  = 50

Solve for a

                               a  = 50 -20

Result

                               a  = 30

4 0
3 years ago
Please help me AAAAAA
bezimeni [28]

Answer:

45

Step-by-step explanation:

AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.

now, what is f ?

we know this from the relation of AC to FA.

FA = 12 mm

AC = 12 + 28 = 40 mm

so, going from AC to FA we multiply AC by f so that

AC × f = FA

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all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).

the area of a triangle is

baseline × height / 2

aABC = 500

and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.

baseline small = baseline large × f

height small = height large × f

we know that

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baseline large × height large = 1000

aAEF = baseline small × height small / 2 =

= baseline large × f × height large × f / 2 =

= baseline large × height large × f² / 2 =

= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =

= 500 × 9/100 = 5 × 9 = 45 mm²

8 0
3 years ago
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