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Vikki [24]
3 years ago
14

Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster than the other car. The

cars are 500 mi apart in 5 h. How fast is each car traveling?
Mathematics
1 answer:
MaRussiya [10]3 years ago
5 0
The speed of one car is 'S'.  The speed of the other car is (S + 10).

In 5 hours, the first car travels (5S) miles, and the other car travels  5(S + 10) miles.

Since they're going in opposite directions, the distance between them at any time
is the sum of the distance that each one has traveled.

500 = (5S) + 5(S + 10)

500 = 5S  +  5S + 50

500 = 10S + 50

Subtract 50 from each side:

450 = 10S

Divide each side by 10

S = <u>45</u>

S + 10 = <u>55</u>
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The volume of a cone is 62.8 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the n
Setler79 [48]
R = sqrt 3 * (V /( pi * h))
V = 62.8
pi = 3.14
h = 15
now we sub
R = sqrt 3 * (62.8 / (3.14 * 15)
R = sqrt 3 * (62.6 / 47.1)
R = sqrt 3 * 1.33
R = sqrt 3.99
R = 1.9 rounds to 2 inches <===

3 0
3 years ago
Read 2 more answers
What is the equation of a line that has a y-intercept of 4 and an x-intercept of -2?​
Furkat [3]

Answer:

y = 2x + 4

Step-by-step explanation:

Two points on this line are (-2, 0) and (0, 4).  Going from the first to the second, x increases by 2 (this is the 'run') and y increases by 4 ('rise').

Thus, the slope of this line is m = rise / run =  4/2 = 2

Using the slope-intercept formula, we get y = mx + b = 2x + b

Let x = -2 and y = 0 to find b:  0 = 2(-2) + b, so b = 4, and the desired equation is then:

y = 2x + 4

6 0
3 years ago
Two families are sharing the cost of vacation home for one week. The cost to rent the home is $3,513 plus a $351.30 deposit. Wha
Natali [406]

The answer is $1932.15

3,513+351.30=3864.30

3864.30÷2=1932.15

Hope this helps!

6 0
3 years ago
Read 2 more answers
1. Mark each of the following graphs as (a) a function, but not one-to-one, (b) one-to-one function, or (c) not a function. In e
Helen [10]

Answer:

  (a) a function, but not one-to-one

Step-by-step explanation:

The graph is of a function if it passes the vertical line test: a vertical line intersects the graph in at most 1 point.

The function is one-to-one if it passes the horizontal line test: a horizontal line intersects the graph in at most 1 point.

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Here, the graph consists of a series of non-overlapping horizontal lines. It passes the vertical line test (is a function), but a horizontal line can intersect the graph in an infinite number of points (is not one-to-one).

The graph is a function, but not one-to-one.

6 0
2 years ago
Please Help!!!!!!
jonny [76]

Answer:

Step-by-step explanation:

The distance that you travelled in your hummer between Olympia and Spokane is 319.4 miles.

You fill up your gas tank with 28.68 gallons of premium gasoline that costs $2.89 per gallon. This means that the total cost of premium gasoline that you bought would be

2.89 × 28.68 = $82.8852

your gas mileage in miles per gallon is 319.4/28.68 = 11.14 miles per gallon.

Therefore, if it costs $82.8852 to drive 319.4 miles,

then the cost of just one mile in your hummer would be

82.8852/319.4 = $0.26 per mile.

5 0
3 years ago
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