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Ksenya-84 [330]
3 years ago
10

Dave walked to his friends house at a rate of 4 mph and returned biking at a rate of 10 mph. If it took him 18 minutes longer to

walk than bike, what was the total distance of the round trip?
Mathematics
2 answers:
vesna_86 [32]3 years ago
3 0

Answer:

The total distance of the round trip was 4 miles

Step-by-step explanation:

1. Let's check all the information given to answer the question correctly:

Speed of Dave walking to his friend's house = 4 mph

Speed of Dave biking from his friend's house = 10 mph

Time walking is 18 minutes longer than time biking

2. What was the total distance of the round trip?

Time walking = x

Time biking = x - 18

For solving x, we will use the following equation:

4x = 10 * (x - 18)

4x = 10x - 180

-6x = - 180

x = -180/-6 (Dividing by - 6)

x = 30

Dave walked 30 minutes and biked 12 minutes, now we can calculate the total distance, this way:

30 minutes = 0.5 hours and 12 minutes = 0.2 hours

Total distance = 4 *0.5 + 10 * 0.2

Total distance = 2 + 2

Total distance = 4 miles.

irinina [24]3 years ago
3 0

Answer:

4 miles is the answer

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2 years ago
At the last showing, 35% of the seats in the theater were empty. If 546 people were in attendance, how many total seats are ther
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Answer:

=> ( 546 x 65 ) /35 = 294

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Step-by-step explanation:

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3 years ago
Using the numbers 3, 2, and 4, which of these problems would have a solution of 4?
Alexeev081 [22]
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7 0
4 years ago
A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = y equals negative StartFractio
Natali5045456 [20]

Answer:

y=-\frac{5}{3} x+\frac{10}{3}  or what is the same: 5x+3y=10

Step-by-step explanation:

First we find the slope of the line that goes through the points (-4,10) and (-1,5) using the slope formula: slope=\frac{10-5}{-4-(-1)} =\frac{5}{-3} =-\frac{5}{3}

Now we use this slope in the general form of the slope- y_intercept of a line:

y=-\frac{5}{3} x+b

We can determine the parameter "b" by requesting the condition that the line has to go through the given points, and we can use one of them to solve for "b" (for example requesting that the point (-1,5) is on the line:

y=-\frac{5}{3} x+b\\5=-\frac{5}{3} (-1)+b\\5=\frac{5}{3}+b\\5-\frac{5}{3}=b\\b=\frac{10}{3}

Therefore, the equation of the line in slope y_intercept form is:

y=-\frac{5}{3} x+\frac{10}{3}

Notice that this equation can also be written in an equivalent form by multiplying both sides of the equal sign by "3", which allows us to write it without denominators:

y=-\frac{5}{3} x+\frac{10}{3}\\3*y=(-\frac{5}{3} x+\frac{10}{3})*3\\3y=-5x+10\\5x+3y=10

3 0
3 years ago
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Identify the volume and surface area of the hemisphere in terms of π. HELP ASAP!!
posledela

Answer:

D

Step-by-step explanation:

Use the formula for the SA of a hemisphere.

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Now we can find the radius of the hemisphere, which is 15.

Then, we can square that and multiply it by 2 to get 450.

Now, let's use the formula for the Volume of a hemisphere.

V=\frac{2\pi r^3}{3}

Now we can cube 15 and multiply it by 2 to get 6750.

Then we can divide this number by 3.

2250.

So the answer is D.

4 0
3 years ago
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