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LiRa [457]
3 years ago
10

A machine produces 255 bolts in 24 minutes. At the same rate,how many bolts would be produced in 40 minutes?

Mathematics
2 answers:
prohojiy [21]3 years ago
6 0

Answer:

425 bolts

Step-by-step explanation:

255/24=x/40

cross product

24*x=255*40

24x=10200

x=10200/24

x=425

NARA [144]3 years ago
4 0
It could produce 425 bolts in 40 minutes.

First I found the unit rate by doing 255/24=10.625

Then I just multiplied that by 40 and got the answer.
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Solve for z: -4 - (z - 6) = 12
aksik [14]

Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

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

-4 - (z - 6) = 12

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

  1. Distribute negative:                              -4 - z + 6 = 12
  2. Combine like terms:                             -z + 2 = 12
  3. Subtract 2 on both sides:                    -z = 10
  4. Divide -1 on both sides:                        z = -10

<u>Step 3: Check</u>

<em>Plug in z to verify it's a solution.</em>

  1. Substitute:                    -4 - (-10 - 6) = 12
  2. Subtract:                       -4 - (-16) = 12
  3. Simplify:                        -4 + 16 = 12
  4. Add:                               12 = 12

Here we see that 12 does indeed equal 12.

∴ z = -10 is a solution of the equation.

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Step-by-step explanation:

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