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3 years ago

Mary drove 355 miles using 17 gallons of gas. At this rate, how many gallons of gas would she need to drive 284 miles?

Mathematics

2 answers:

alexgriva [62]3 years ago

5 0

Answer: 13.60 gallons divide 355 by 17 to get the base miles per gallon then use that and divide it 284 by 20.88

Step-by-step explanation:

Cloud [144]3 years ago

3 0

Step-by-step explanation:

17g = 335miles

1g = 335÷17

= 19.70588235

284miles = (284÷19.70588235) × 1

284miles = 14.4119403

Answers:

284miles = 14.41gallons (2.dp)

284miles = 15gallons (nearest whole number)

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Name the Property:

Kisachek [45]

multiplication property of equality

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2 years ago

How is the quotient of 3,419 and 11 determined using an area model? Enter your answers in the boxes to complete the equations. 3

Ipatiy [6.2K]

The quotient of 3,419 and 11 is 310.81.

<h3>How to illustrate the information?</h3>

It should be noted that from the information given, we are to find the quotient of 3,419 and 11 determined using an area model.

It should be noted that this simply means the division of the values given. This will be:

= 3419/11

= 310.81

Therefore, the quotient of 3,419 and 11 is 310.81.

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1 year ago

You have 100 feet of fencing and decide to make a rectangular garden. What is the largest area enclosed

k0ka [10]

Answer:

625 ft^2

Step-by-step explanation:

Given

$P = 100$ --- perimeter

Required

The largest area

The perimeter is calculated as:

$P = 2 * ( L + W)$

So, we have:

$2 * ( L + W) = 100$

Divide both sides by 2

$L + W = 50$

Make L the subject

$L = 50 - W$

The area is calculated as:

$A= L * W$

Substitute $L = 50 - W$

$A= (50 - W) * W$

Open bracket

$A = 50W - W^2$

Differentiate with respect to W

$A' = 50 -2W$

Set to 0; to get the maximum value of W

$50 - 2W = 0$

Collect like terms

$-2W = -50$

Divide by -2

$W = 25$

So, the maximum area is:

$A = 50W - W^2$

$A = 50 * 25 - 25^2$

$A = 1250 - 625$

$A = 625$

3 0

2 years ago

The area of the rectangular floor in Tamara's room is 95 5/6 square

White raven [17]

Area of rectangle is width × length
which means area of rectangular floor in Tamara's room = width of room × length of room
-> 95 ⅚ sq feet = 8 ⅓ feet × length of
->(95 + 5/6) sq feet = (8 + 1/3) feet × length of room
->575/6 sq feet = 25/3 feet × length of room
length of room = (575/6)/(25/3)
= 575 × 3/6 × 25)
= 23/2
= 11 ½ feet

8 0

2 years ago

Read 2 more answers

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