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3 years ago

A truck driver drove 120 miles in 1 3/4 hours. What is the speed of the truck in miles per hour? PLEASE HELP

1 answer:

4 0

Turn 1 3/4 into a decimal number: 1.75
So, 120 miles in 1.75 hours, but we want to know miles in *one* hour. Divide both numbers by 1.75. 120/1.75 miles in 1.75/1.75 hour = 120/1.75 miles in 1 hour. 120/1.75 is 68.57 miles in one hour, so 68.57 mph.

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steposvetlana [31]

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8 0

3 years ago

Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2 3 of the way there.

DochEvi [55]

Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2/3 of the way there. How many more hours does Liza have to drive?

Answer:

Liza need to drive 2 more hours to reach her sister house

Solution:

Given that Liza is driving to her sister's house 360 miles away

So total distance = 360 miles

After 4 hours, Liza is 2/3 of the way there.

$\frac{2}{3} r d \text { of total distance }=\frac{2}{3} \times 360=240$

So Liza has covered 240 miles in 4 hours

Let us find the speed

The relation between distance and speed is given as:

$speed = \frac{distance}{time}$

$speed = \frac{240}{4} = 60$

Thus speed = 60 miles per hour

Assuming speed is same throughout the journey, let us calculate the time taken to complete remaining distance

Remaining distance = 360 - 240 = 120 miles

Now distance = 120 miles and speed = 60 miles per hour

$time taken = \frac{distance}{speed}\\\\time taken = \frac{120}{60} = 2$

Thus Liza need to drive 2 more hours to reach her sister house

4 0

3 years ago

4. Factor the binomial. 16x2 – 25

fiasKO [112]

Answer:

a^2-b^2=(a+b)(a-b) where a=4x and b=5. (4x+5)(4x-5)

Step-by-step explanation:

Since both terms are perfect squares,factor using the difference of squares formula

6 0

3 years ago

If LM=41-2x and NP=7x+5, find LM

Tatiana [17]

Answer:
LM = 33 units

Explanation:
From the drawing:
LM = NP
41 - 2x = 7x + 5
41 - 5 = 7x + 2x
36 = 9x
x = 9

This means that:
LM = 41 - 2x
LM = 41 - 2(4)
LM = 33 units

Hope this helps :)

8 0

3 years ago

The total number of dollars you would have received if you received one dollar on your first birthday, two dollars on your secon

Tanzania [10]

Answer:

262,143

Step-by-step explanation:

1
1+2
3+4
7+8
15+16
31+32
63+64
127+128
255+256
511+512
1023+1024
2047+2048
4095+4096
8191+8192
16,383+16,384
32,767+32,768
65,535+65,536
131,071+131,072

=262,143

6 0

3 years ago