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3 years ago

A 222-inch pipe is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.

Mathematics

1 answer:

viktelen [127]3 years ago

5 0

Answer:

The shorter piece is <u>37</u> inches long.

Step-by-step explanation:

Let the length of the shorter piece be x and the longer piece be 5x.

Short piece + Long piece = 222 inches

x + 5x = 222

6x = 222

x = 222 ÷ 6

x = 37

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A car has mass 1500 kg and is traveling at a speed of 35 miles/hour. what is its kinetic energy in joules? (Be sure to convert m

photoshop1234 [79]

Answer:

Factor by which kinetic energy increase = 4 times

Step-by-step explanation:

Given,

Mass of the car, v1 = 1500 kg

initial speed of car = 35 miles/h

$=\dfrac{35\times 1609.34}{3600}\ m/s$

= 15.64 m/s

Initial kinetic energy of the car is given by,

$k_1\ =\ \dfrac{1}{2}.m.v_1^2$

$=\ \dfrac{1}{2}\times 1500\times (15.64)^2\ joule$

= 183606.46 J

Final velocity of car v2 = 70 miles/hour

$=\dfrac{70\times 1609.34}{3600}$

= 31.29 m/s

So, final kinetic energy of car is given by

$k_2\ =\ \dfrac{1}{2}.m.v_2^2$

$=\ \dfrac{1}{2}\times 1500\times (31.29)^2$

= 734425.84 J

Now, the ratio of final to initial kinetic energy can be given by,

$\dfrac{k_2}{k_1}=\ \dfrac{734425.84}{183606.46}$

$=>\ k_2\ =\ 4k_1$

Hence, the kinetic energy will increase by 4 times.

7 0

3 years ago

You purchase a shirt for $8.50 there is a 6% sales tax your total cost will br

Alex_Xolod [135]

$8.50 x 1.06 = $9.01

The 1.06 comes from the cost of the whole shirt (1) plus the amountof tax (.06) added together.

3 0

3 years ago

Two less than a number

loris [4]

Answer:

x-2

Step-by-step explanation:

two less (-2) than a number (variable: x)

7 0

3 years ago

Read 2 more answers

1.) A six-sided number cube is rolled, and the spinner

sammy [17]

Answer:

Step-by-step explanation:

The question is not totally clear. I will assume that the spinner has 2 colors, red and blue.

Your chances of rolling a 3 are 1 in 6 = 1/6

Your chance of getting blue is 1/2

Your chances are 1/2 * 1/6 = 1/12

As a decimal that is 0.0833333

As a % it is 8.3333 %

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3 years ago

Jaiden earned $84 last week. Peter earned only $12. Jaiden's earnings are how many times greater than Peter's.

Colt1911 [192]

Answer:

×7

Step-by-step explanation:

$84 \div 12 = 7$

6 0

1 year ago