meredith48034
meredith48034 meredith48034
  • 26-02-2021
  • Mathematics
contestada

170 foot cable is to be cut into four pieces. Find the length of each piece is 3 feet longer than the previous one.​

Respuesta :

jimrgrant1 jimrgrant1
  • 26-02-2021

Answer:

38 ft, 41 ft, 44 ft, 47 ft

Step-by-step explanation:

let the first piece be x, then

second piece = x + 3

third piece = x + 3 + 3 = x + 6

fourth piece = x + 6 + 3 = x + 9

sum the 4 together and equate to 170

x + x + 3 + x + 6 + x + 9 = 170, that is

4x + 18 = 170 ( subtract 18 from both sides )

4x = 152 ( divide both sides by 4 )

x = 38

Thus

first piece = x = 38 ft

second piece = x + 3 = 38 + 3 = 41 ft

third piece = x + 6 = 38 + 6 = 44 ft

fourth piece = x + 9 = 38 + 9 = 47 ft

Answer Link

Otras preguntas

Solve for x, the triangles are similar
how does a viral immunization help prevent disease
Summary of poem her head by joan murray
The ancient Egyptian‘s did not have Blank
Select the correct answer. Which kind of contract requires the terms to be stated explicitly, either orally or in writing? A. implied contract B. express contra
Identify the terminal point for a 45° angle in a unit circle. O A (231) O B. O c. V2 72
Choose the correct relative pronoun. To do you pay your rent? O whose whom who what
Who are all ________ people? A. this B. those C. them D. that
the interest for 3 years on Rs 2400 is Rs 576. find the interest on Rs 4000 for 2 years at the same rate of interestgive me correct answer or explaination​ with
Explain the meaning of below sentence"I have My clothes Ironed by her"​