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NemiM [27]
3 years ago
12

Jodi went 54 miles on 3.5 gallons of gas, and she wants to know how far she can go on 9 gallons of gas. Which proportion would b

e useful to solve the problem?
A)
9
3
=
54
x
Eliminate
B)
9
54
=
x
3
C)
54
3.5
=
x
9
D)
54
9
=
3.5
x
Mathematics
2 answers:
jek_recluse [69]3 years ago
4 0

Answer:

it would be c

Step-by-step explanation:


Blizzard [7]3 years ago
3 0
C is your answer because of the fact that it sets the proportion needed to answer the question  which the question would be how many miles can she drive on 9 gallons of gas.

so the correct proportion is 54    x
                                            _      _
                                           3.5    9  !  Then your answer would be she can drive about 139 miles if she has 9 gallons of gasoline.     :  )
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The average American spent $8,508 on health care in 2011. The cost of health care is projected to rise about 5.8% per year for t
klio [65]
<h3>The projected amount the average American spent on health care in 2014  is $ 10075.91</h3>

<em><u>Solution:</u></em>

Given that,

The average American spent $8,508 on health care in 2011

The cost of health care is projected to rise about 5.8% per year for the years 2012-2022

<em><u>The increasing function is given as:</u></em>

y = a(1+r)^t

Where,

y is future value

a is initial value

r is growth rate in decimal

t is number of years

From given,

a = 8508

r = 5.8 \% = \frac{5.8}{100} = 0.058

t = 2011 to 2014 = 3 years

<em><u>Substituting the values, we get,</u></em>

y = 8508(1 + 0.058)^3\\\\y = 8508(1.058)^3\\\\y = 8508 \times 1.1842\\\\y = 10075.914 \approx 10075.91

Thus the projected amount the average American spent on health care in 2014  is $ 10075.91

4 0
3 years ago
An automobile engineer is redesigning a conical chamber that was originally specified to be 12 inches long with a circular base
kirill115 [55]

Answer:

the original volume is lesser than the new volume by 242.47 in³

Step-by-step explanation:

Volume of a cone is;

V = ⅓πr²h

Where;

r is radius

h is height

For the original chamber;

r = 5.7/2 = 2.85 inches

h = 12 inches

Volume of this original chamber is;

V_orig = ⅓ × π × 2.85² × 12

V_orig = 102.02 in³

In the new design, the chamber is scaled by a factor of 1.5.

Thus;

r_new = 2.85 × 1.5 = 4.275 inches

h_new = 12 × 1.5 = 18 inches

V_new = ⅓ × π × 4.275² × 18

V_new = 344.49 inch³

V_new - V_orig = 344.49 - 102.02 =

Thus, the original volume is lesser than the new volume by 242.47 in³

6 0
2 years ago
Simplify the radical expression<img src="https://tex.z-dn.net/?f=%5Csqrt128" id="TexFormula1" title="\sqrt128" alt="\sqrt128" al
Rudiy27

Answer: 8√2 decimal form 11.3

Step-by-step explanation: √128=√16×√8→4×√4×√2=8√2 . 11.3 in decimal form

3 0
3 years ago
The Reel Good Cinema is conducting a mathematical study. In its theater, there are 200 seats. Adult tickets cost $12.50 and chil
Vlada [557]
If the goal is to sell at least $1500 worth of tickets then what you can do is add the 12.50+ 6.25 which well equal 18.75. Then you can divide 1500/18.75 which eqauls to 80 meaning at least 80 seats must be sold
3 0
3 years ago
Jane gets a simple interest loan for $2500. If the bank charges 3% interest rate how much will her balance be after 5 years?
Degger [83]
2500 divided by 100 is 25. If you multiply 25 times 3 you'll get 75. Repeat those steps (answers will be different each time) five times. You will get the answer.

Don't want to do that? OK! I'll do it for you!

Answer: <span>2577.31958575</span>
6 0
3 years ago
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