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nalin [4]
3 years ago
8

Three less than 4 times a number is equal to 12 more than seven times the number. What is the number?

Mathematics
1 answer:
kompoz [17]3 years ago
6 0

Answer:

-5

Step-by-step explanation:

4x-3 = 7x+12

  • Subtract 12 from each side

4x-15 = 7x

  • Subtract 4x from each side

-15 = 3x

  • Divide each side by 3

-5 = x

  • Rewrite using symmetric property
<h2><u>x = -5</u></h2>

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Step-by-step explanation:

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What is the sum of the first 14 terms of the sequence an = 6n -12
mina [271]
When n = 1  first term  = -6 
n = 2  second term =  0
n = 3 third term = 6

n = 4 4th term = 12

so we have an Arithmetic sequence  first term = -6 and common difference = 6

Sum 14 terms  =  (14/2)[2*-6 + (14-1)*6]

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PLEASE ANSWER if a ball falls off a cliff that is 30 meters tall and down to the bottom of a pond that is 15 meters deep, what i
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8 0
3 years ago
(HELP ASAP PLEASE!!)
olasank [31]

Answer:

Shirts = $7

Shorts $17

Step-by-step explanation:

Let:

T - shirts

S - shorts

We can make two equations out of this problem:

4T + 3S = $79

7T + 8S = $185

Through substitution we can solve for one of the unknowns. We make one equation to solve for an unknown

4T+3S=\$79\\\\3S = \$79-4T\\\\S=\dfrac{\$79-4T}{3}

We use the formula of S and insert it into the other equation:

7T+8(\dfrac{\$79-4T}{3}) = \$185\\\\7T + \dfrac{\$632-32T}{3}=\$185\\\\\dfrac{\$632-32T}{3}=\$185-7T\\\\\$632-32T=3(\$185-7T)\\\\$632-32T=\$555 - 21T\\\\-32T+21T=\$555-\$632\\\\-11T=-\$77\\\\\dfrac{-11T}{11}=\dfrac{-\$77}{11}\\\\T = \$7

Thus T-shirts are $7 each.

Now that we know T, we can use it to solve for the other unknown. You can use it on any of the formulas.

4T+3S=\$79\\\\4(\$7) + 3S = \$79\\\\\$28+3S =\$79\\\\3S=\$79-\$28\\\\3S=\$51\\\\S=\dfrac{\$51}{3}\\\\S = \$17

We know then that Shorts are $17 each.

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3 years ago
Jill Ley took out a loan for $60,000 to pay for her child's education. The loan must be repaid at the end of eight years in one
mel-nik [20]

I believe the answer would be $63,600.

Hope this helps ;}

6 0
3 years ago
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