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Elena L [17]
3 years ago
9

Saw a board 5 ft 1 in. Long into six equal pieces. If the loss per cut is 1/5 in., how long will each piece be?

Mathematics
1 answer:
Pie3 years ago
5 0

Answer:

The length of each piece is 0.833 ft.

Step-by-step explanation:

Length of board, L = 5 ft 1 inch

loss per cut = 1/5 inch

The board should be cut by 5 times to get the 6 pieces.

The loss in 5 cuts = 5 x 1/5 = 1 inch

So, the length of each piece is

L' =\frac{5 ft 1 in - 1in }{6}\\\\L' =\frac{5}{6}\\\\L' = 0.833 ft

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Celina measured the height of a window frame as 5.55 feet, but the actual height was 6 feet. What is the percentage of error in
iVinArrow [24]
1) 6 - 5.55 = 0.45 feet (the difference between 6 and 5.55)
2) 0.45/6 * 100 = 7.5% (the percentage of error in Celina's measurement)
5 0
4 years ago
What is the answer?
kumpel [21]
$41.83

7.25% as a decimal is 0.0725.

multiply 39.00 by 0.0725 to get the tax.

the tax is $2.83 and the product is $39.00. that added together is $41.83.
3 0
3 years ago
Read 2 more answers
For each sequences, find the first 4 term and the 10th term the sequences are
jek_recluse [69]

Answer:

see explanation

Step-by-step explanation:

to find the first 4 terms substitute n = 1, 2, 3, 4 into the sequence rule

to find the 10th term substitute n = 10 into the rule

(a)

a₁ = 1² + 3 = 1 + 3 = 4

a₂ = 2² + 3 = 4 + 3 = 7

a₃ = 3² + 3 = 9 + 3 = 12

a₄ = 4² + 3 = 16 + 3 = 19

a₁₀ = 10² + 3 = 100 + 3 = 103

(b)

a₁ = 2(1)² = 2(1) = 2

a₂ = 2(2)² = 2(4) = 8

a₃ = 2(3)² = 2(9) = 18

a₄ = 2(4)² = 2(16) = 32

a₁₀ = 2(10)² = 2(100) = 200

3 0
3 years ago
Anna finishes 5 homework problems in 15 minutes. Kailey finishes 10
Kryger [21]

Answer:

no, they are not working at the same rate.

Step-by-step explanation:

Annah takes only 3 minutes to complete 1 homework while Kailey takes 6 minutes to complete 1 homework

3 0
3 years ago
Read 2 more answers
Find the simple interest: Principal: $3020 Interest Rate: 5% Time: 6 months​
Andrews [41]

Answer:

A = $3094.58

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

Simple Interest Rate Formula: A = P(1 + r)ⁿ

  • A is the final amount
  • P is the principal amount
  • r is the rate
  • n is the time (in years)

Step-by-step explanation:

<u>Step 1: Define variables</u>

A = ?

P = 3020

r = 0.05

t = 6 months = 0.5 years

<u>Step 2: Solve for </u><em><u>A</u></em>

  1. Substitute:                    A = 3020(1 + 0.05)^0.5
  2. Add:                              A = 3020(1.05)^0.5
  3. Evaluate:                       A = 3020(1.0247)
  4. Multiply:                        A = 3094.58

And we have our final answer!

5 0
3 years ago
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