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Tcecarenko [31]
2 years ago
12

What is the solution to the equation? x−18=−72 Enter your answer in the box.

Mathematics
2 answers:
klio [65]2 years ago
6 0

Answer:

  -54

Step-by-step explanation:

Add 18 to both sides of the equation.

  x -18 +18 = -72 +18

  x = -54 . . . . the solution to the equation

_____

<em>Additional comment</em>

This is called a "one-step" equation. The one step needed to solve it is to add the opposite of the constant that is on the same side of the equal sign as the variable. That constant is -18. Its opposite is 18, so 18 is what we add.

Anything we do to one side of the equation must also be done to the other side, so we must add 18 to both sides of the equation.

DiKsa [7]2 years ago
4 0

Answer:

-54

Step-by-step explanation:

x-18=-72

x=-72+18

x=-54

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If 5 sips +4 gulps = 1 glass and 13 sips +7 gulps = 2 glasses, how many sips equal a gulp?
nataly862011 [7]

Answer:

3 sips equal a gulp

Step-by-step explanation:

we have

5sips+4gulps=1glass ----> equation A

13sips+7gulps=2glass

Divide by 2 both sides

6.5sips+3.5gulps=1glass ----> equation B

equate equation A and equation B

5sips+4gulps=6.5sips+3.5gulps

Group terms that contain the same variable

4gulps-3.5gulps=6.5sips-5sips

0.5gulps=1.5sips

gulps=(1.5/0.5)sips

gulps=3sips

therefore

3 sips equal a gulp

3 0
3 years ago
What are two numbers multiplied together to get 15 but add to be 12?
KiRa [710]
So x times y=15
x+y=12
solve
x+y=12
subtract x from both sides
y=12-x
subsitute
xy=15
x(12-x)=15
distribute
12x-x^2=15
subtract (12x-x^2) from both sides
0=x^2-12x+15
use quadratic formula which is
x=\frac{ -b+/- \sqrt{b^{2}-4ac} }{2a}
where you have
0=ax^2+bx+c
so
a=1
b=-12
c=15
subsitute
x=\frac{ -(-12)+/- \sqrt{-12^{2}-4(1)(15)} }{2(1)}
x=\frac{ 12+/- \sqrt{144-60} }{2}
x=\frac{ 12+/- \sqrt{84} }{2}
x=\frac{ 12+/- 2\sqrt{21} }{2}
x=6+/- \sqrt{21}
x=6+ \sqrt{21} or 6- \sqrt{21} or aprox
x=10.5826 or 1.41742
the numbers are 10.5826 and 1.41742






3 0
4 years ago
The Knowles/Armitage (KA) group at Merrill Lynch advises clients on how to create a diversified investment portfolio. One of the
Pani-rosa [81]

Answer:

See the attached file for the answers.

Step-by-step explanation:

See the attached file for the explanation

4 0
4 years ago
Read 2 more answers
Lines b and c are parallel. What is the measure of angle 6?
Lemur [1.5K]

Answer:

I think

Step-by-step explanation:

it is answers is m is 117

7 0
3 years ago
What is the midpoint between -2-3i and 3+9i
Svetlanka [38]

Answer:

1/2 + 3i is the midpoint between -2-3i and 3+9i.

Step-by-step explanation:

Given the complex number

  • -2-3i
  • 3+9i

The formula to find the midpoint of two complex number (a + bi) and (c + di) is:

M=\frac{\left(a+c\right)}{2}+\frac{\left(b+d\right)i}{2}

M=\frac{\left(-2+3\right)}{2}+\frac{\left(-3+\left(9\right)\right)i}{2}

M=\frac{-2+3+\left(-3+9\right)i}{2}

M=\frac{1+6i}{2}

M=\frac{1}{2}+3i

Therefore, 1/2 + 3i is the midpoint between -2-3i and 3+9i.

3 0
3 years ago
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