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djyliett [7]
3 years ago
10

Two automobiles start together from the same place and travel along the same route. The first averages 40 miles

Mathematics
2 answers:
Rashid [163]3 years ago
6 0

Answer:

A. (55 x 5) - (40 x 5)

Step-by-step explanation:

The "speedier" car goes 55 mph * 5 hrs = 55*5 miles

The "slower" car goes 40mph * 5   hrs = 40*5 miles

The distance between them is

55  *5 - 40*5

natita [175]3 years ago
4 0

Answer:

A. (55 x 5) - (40 x 5)

Step-by-step explanation:

You are solving how much miles (further along) would the second car be after 5 hours.

The first car averages 40 miles per hour. 5 hours later, it will have averaged about 200 miles in 5 hours (40 x 5 = 200).

The second car averages 55 miles per hour. 5 hours later, it will have averaged about 275 miles in 5 hours (55 x 5 = 275)

Subtract: 275 - 200 = 75

The second car would have averaged 75 more miles than the first car.

~

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Answer: P(both green)=1/16

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Step-by-step explanation:

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She has $900 total in her account.

she needs to get the laptop, that's $600 in costs.

and she pulls out $60 for food, how many times can she do that?

the first time she pulls them out, the amount is 60,

the second time she does it, the amount will have been 60 + 60 or  60(2),

the third time she does it again, the amount withdrawn will be 60(3)

the fourth time of the withdrawal the amount pulled out will be 60(4)

now, if she does "f" times for food, the "f" time she does it, the amount withdrawn would be 60(f) or just 60f.

now, we know the laptop costs $600, and her food withdrawals are 60f, she's not putting anything in the account, so the 900 bucks are just shrinking with every withdrawal for either laptop or food.

so, her expenses are, the laptop and food, 600 + 60f.

whatever "f" may be, that amount must never be greater than 900, because that's all she has in the account, and if she uses more the bank will let the dobermans loose on her.

so, 600 + 60f must be "less than or equals to" 900.

900 ⩾ 600 + 60f

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6 0
3 years ago
The sum of three consecutive integers is 48. Find the integers.
fenix001 [56]

Answer:

15,16 and 17.

Step-by-step explanation:

Let the three consecutive integers are x, x+1,x+2

ATQ,

x+x+1+x+2=48

3x+3=48

Subtract 3 from both sides,

3x+3-3=48-3

3x=45

x = 15

First integer = 15

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Third interger = 15+2 = 17

Hence, three integers are 15,16 and 17.

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A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 7 marbles, each of diameter 3 inches. The va
goldenfox [79]

Complete Question

A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 7 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches.Which of the Following could be used to calculate the volume of water in the vase?

Answer:

V_w=  \pi (3)^2(12) - 8(4/3) \pi(1.5)^3

Step-by-step explanation:

From the question we are told that:

Diameter of vase d=6

Number of marbles n_m=7

Diameter of marbles d_m=3 inch

Height of water h_w=12

 

Generally the equation for Volume of water in cylindrical vase V_w is mathematically given by

 V_w= \pi r^2h - Volume \, of \, the\, balls

Where Volume  of  the balls V_b is

 V_b= 7(4/3) \pi r^3\\\\V_b= 7(4/3) \pi (1.5)^3

Therefore

V_w= \pi r^2h - Volume \, of \, the\, balls

V_w=  \pi (3)^2(12) - 8(4/3) \pi(1.5)^3

8 0
3 years ago
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