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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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olga55 [171]
For the first one,

you multiply 5x and -5 to get -25.

Then you move the constant to the right and change the sign to get 3x= -21 +25.

Calculate the sum of -21+25 to get 4.

Divide both sides of the equation by 3 to get x=4/3.

So then your final answer is x=4
——
3


For the second one,

Distribute 7 through the parentheses to get 14x + 14+8=120

The you add 14+8 to get 22. Your equation should be 14x+22=120

Move the constant to the right side and change its sign to get 14x=120-22

Subtract 120-22 to get 98. Now your equation should be 14x=98

Divide both sides of the equation by 14 to get x=7.

Your finial answer for the second one should be x=7.
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I hope this made sense.
5 0
3 years ago
A vendor at the State Fair has learned that, by pricing his deep fried bananas on a stick at $1.00, sales will reach 82 bananas
Tasya [4]

Answer:

Y=-40x+122

Step-by-step explanation:

hello

Due to the nature of the data, it is most convenient to model this problem as a linear function.

To solve this problem we must use the equation that defines a line, then start assigning the corresponding values

y1=82bananas per day

X1=1 dolar

y2=52bananas per day

x2=1.75dolar

line ecuation

y − y 1 = m(x − x 1 )

where

m=slope=\frac{y2-y1}{x2-x1} =\frac{52-82}{1.75-1}=-40

solving:

Y-82=-40(x-1)

Y=-40x+40+82

Y=-40x+122

let's try the result!

Price =1dolar

Y=-40(1)+122=82bananas per day

Price=1.75dolar

Y=-40(1.75)+122=52bananas per day

7 0
3 years ago
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lyudmila [28]
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4 0
3 years ago
Alex, Bruno, and Charles each add the lengths of two sides of the same triangle correctly. They get 27 cm, 35 cm, 32 cm, respect
Vera_Pavlovna [14]

Answer:

47 cm.

Step-by-step explanation:

Alex, Bruno, and Charles each add the lengths of two sides of the same triangle correctly.

They get  27 cm, 35 cm, and 32 cm, respectively. Find the perimeter of the triangle, in cm

find:

Find the perimeter of the triangle, in cm. What is the most efficient strategy you can find to solve this problem?

<u>solution:</u>

27, 35, and 32 are each the sum of a different pair of sides of the triangle

Then 27 + 35 + 32 is the sum of all three sides, each counted twice.

Thus, 27 + 35 + 32 = 94 is twice  the perimeter

therefore,

the perimeter of the triangle is 94/2 = 47 cm.

6 0
3 years ago
Read 2 more answers
Choose all the expression that have the same value as the product 0.11 and 4.5.
omeli [17]
Okay so.
A is 4.95
B is 4.95
C is 4.95
D is 4.95
E is 0.495
So I guess E is the Answer! :)
3 0
3 years ago
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