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2 years ago

Sarah can walk 3 miles in 1 hour at this pace how many miles will Sarah walk in 4 hours

Mathematics

2 answers:

Lelu [443]2 years ago

6 0

Answer:

12 miles

Step-by-step explanation:

3 miles per 1 hour pace

3 × 4 = 12 miles

kogti [31]2 years ago

4 0

Answer:

x = 12 miles

Step-by-step explanation:

Sarah can walk 3 miles in 1 hour.

At this pace how many miles will Sarah walk in 4 hours?

Write and solve an equation of ratios:

3 mi 1 hr

--------- = --------

x 4 hr

Cross-multiplying yields x = 12 miles.

Sarah can walk 12 miles in 4 hours

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An open metal tank of square base has a volume of 123 m^3

snow_lady [41]

Answer:

a) h = 123/x^2

b) S = x^2 +492/x

c) x ≈ 6.27

d) S'' = 6; area is a minimum (Y)

e) Amin ≈ 117.78 m²

Step-by-step explanation:

a) The volume is given by ...

V = Bh

where B is the area of the base, x^2, and h is the height. Filling in the given volume, and solving for the height, we get:

123 = x^2·h

h = 123/x^2

b) The surface area is the sum of the area of the base (x^2) and the lateral area, which is the product of the height and the perimeter of the base.

$S=x^2+Ph=x^2+(4x)\dfrac{123}{x^2}\\\\S=x^2+\dfrac{492}{x}$

c) The derivative of the area with respect to x is ...

$S'=2x-\dfrac{492}{x^2}$

When this is zero, area is at an extreme.

$0=2x -\dfrac{492}{x^2}\\\\0=x^3-246\\\\x=\sqrt[3]{246}\approx 6.26583$

d) The second derivative is ...

$S''=2+\dfrac{2\cdot 492}{x^3}=2+\dfrac{2\cdot 492}{246}=6$

This is positive, so the value of x found represents a minimum of the area function.

e) The minimum area is ...

$S=x^2+\dfrac{2\cdot 246}{x}=(246^{\frac{1}{3}})^2+2\dfrac{246}{246^{\frac{1}{3}}}=3\cdot 246^{\frac{2}{3}}\approx 117.78$

The minimum area of metal used is about 117.78 m².

3 0

2 years ago

Is 35 in , 45 in , 55 in, a right triangle or not

KonstantinChe [14]

If its less than 90, its a right triangle. Hope this helps!

5 0

3 years ago

Joe’s annual income has been increasing each year by the same dollar amount the first year his income was 19,500. 8 years later

Anna007 [38]

Answer:

The question is either poorly constructed or it is a trick question. We do not know "In what year was his income 30,300" because the years correlating to his income are not disclosed. Even assuming the question was meant to be posed as "how many years later was his income 30,300" it is still flawed.

Step-by-step explanation:

To arrive at Joe's annual income increase, first subtract 19,500 from 27,900 to get 8400, which is his overall increase over the 8 years. Now divide 8400 by 8. You will get 1050. Beginning with his income of 27,900, add 1,050 to each successive income amount and you will get the following progression:

27,900, 28,950, 30,000, 31,050, 32,100, 33,150, 34,200, 35,250, 36,300.

Therefore, two years after his income was 27,900 it would be 30,000 and 6 years after that it would be 36,300. It would never be 30,300.

6 0

3 years ago

Brandon mows his lawn once every 4 days. Thomas mows his lawn once every 3 days. Celena mows her lawn once every 6 days. If they

lakkis [162]

Answer: The Answer is 12

Step-by-step explanation: This is because each number's LCM (Least Common Multiple) is 12. Ex. 4,8,12 3,6,9,12 6,12

7 0

3 years ago

Read 2 more answers

A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) = 60x −

bonufazy [111]

R(x) = 60x - 0.2x^2

The revenue is maximum when the derivative of R(x) = 0.
dR(x)/dx = 60 - 0.4x = 0
0.4x = 60
x = 60/0.4 = 150

Therefore, maximum revenue is 60(150) - 0.2(150)^2 = 9000 - 4500 = $4,500
Maximum revenue is $4,500 and the number of units is 150 units

7 0

2 years ago

Read 2 more answers

Sarah can walk 3 miles in 1 hour at this pace how many miles will Sarah walk in 4 hours​

Sarah can walk 3 miles in 1 hour at this pace how many miles will Sarah walk in 4 hours