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Natasha_Volkova [10]
3 years ago
13

A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the

dressmaker cut from 15 of these rolls of ribbon? Before you try that problem, answer the question below. How many inches of ribbon does the dressmaker have, in total?
Mathematics
1 answer:
kicyunya [14]3 years ago
3 0

Answer:

She can cut 180 (9 - inch) pieces

Step-by-step explanation:

A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? Before you try that problem, answer the question below.

Step 1

How many inches of ribbon does the dressmaker have, in total?

1 roll of ribbon = 9 feet

15 rolls of ribbon = x feet

x = 15 roll × 9 feet

x = 135 feet

Converting from Feet to inches

1 foot = 12 inches

135 feet = x inches

Cross Multiply

x = 135 × 12 inches

x = 1620 inches

The dress maker cuts 9 inches each

How many 9-inch pieces can the dressmaker cut from 15 of these rolls of ribbon?

15 rolls of ribbon = 1620 inches of ribbons

Hence: = 1620 inches/9

= 180 pieces

She can cut 180 (9 - inch) pieces

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The magnitude of the final velocity of the cue ball is (B) 0.56m/s.

<h3>What is Velocity</h3>
  • The definition of velocity is a vector measurement of the rate and direction of motion.
  • It is a moving body's speed and direction of motion.

How to calculate the magnitude of the final velocity?

The magnitude of the final velocity can be calculated by following the steps:

  • The mass of the cue ball given is 0.4kg.
  • The velocity of the cue ball given is +0.80m/s.
  • The velocity of the striped ball before the collision is +0.38 m/s.
  • The velocity of the striped ball after collision is +0.62m/s.
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Assuming all pool balls have the same mass: 0.4kg

Let the final velocity of the cue ball be x.

Now, To find the final velocity:

  • Mass of the cue ball × initial velocity of cue ball + Mass of striped ball + initial velocity of striped ball = mass of cue ball × final velocity + mass of striped ball × final velocity of the striped ball

  • (0.40)×(0.80)+(0.4)(0.38) = (0.4)(x)+(0.4)(0.62)
  • 0.32+0.152=0.4x+0.248
  • 0.472=0.4x+0.248
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  • 0.224/0.4 =x
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Therefore, the magnitude of the final velocity of the cue ball is (B) 0.56m/s.

Know more about velocity here:

brainly.com/question/25749514

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The correct question is given below:

In a game of pool, a 0.4 kg cue ball is traveling at +0.80 m/s when it hits a slower striped ball moving at +0.38 m/s. After the collision, the striped ball moves off at +0.62 m/s. What is the magnitude of the final velocity of the cue ball? Assume all pool balls have the same mass.

A. 0.20 m/s

B. 0.56 m/s

C. 1.0 m/s

D. 1.8 m/s

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