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Scorpion4ik [409]
3 years ago
8

The sum of three consecutive integers is -30. find the integers.

Mathematics
1 answer:
slega [8]3 years ago
5 0
Consecutive integers are one apart from each tother
they are
x,x+1,x+2

sum is -30
x+x+1+x+2=-30
3x+3=-30
minus 3 both sides
3x=-33
divide 3
x=-11

find rest
x+1=-11+1=-10
x+2=-11+2=-9

they are
-9,-10,-11
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Explain why the steps for solving equations are usually given as removing grouping symbols first, even though it is not necessar
finlep [7]
This is because simplifying the equation before solving it will lead you to the answer at a much faster rate. For example, in the given equation, the long way would be to distribute 2 to (x+3). Then, you transpose them and combine like terms. Until you get to x + 3 = 8. But if you simplify it first, you will see that it is straightforward. It will lead you to the answer right away which is x + 3 = 8. It saves you from the hassle of doing more algebra :)
3 0
3 years ago
-1/2 + 4/9
stira [4]

Answer:

-1/18

Step-by-step explanation:

First, you have to change both fractions to have like denominators. The LCM of 2 and 9 is 18.

Second, you have to multiply -1/2 by 9/9 to get a denominator of 18. -1/2 x 9/9 is - 9/18.

Third, you have to multiply 4/9 by 2/2 to get a denominator of 18. 4/9 x 2/2 = 8/18.

Fourth, -9/18 + 8/18 = -1/18

Hope this helps!

4 0
3 years ago
Trapezoid ABCD has an area of 525 cm squared. If height AB = 21 cm and BC = 37 cm, what is the measure of AD?​
Annette [7]

Answer:

AD = 13

Step-by-step explanation:

Area of trapezoid ABCD

=  \frac{1}{2} (AB + AD) \times AB \\  \\  525=  \frac{1}{2} (37+ AD) \times21\\  \\  525 \times 2=  (37+ AD) \times21 \\  \\ 1050 = 21 \times 37 + 21AD \\  \\ 1050  = 777+ 21AD \\  \\  21AD  = 1050 - 777 \\  \\ 21AD  = 273 \\  \\ AD  =  \frac{273}{21}  \\  \\ AD  = 13

8 0
3 years ago
7r²+9=1 quadratic equation.
dezoksy [38]
<span>7r²+9=1 

</span><span>the equation is contradictory, just to prove

7r</span>² + 9 = 1

7r² + 9 -1 = 0

7r² + 8 = 0

<span>We write the equation in the form of products of
</span>
7 * (r² + 8/7) = 0

<span>the product is equal to 0 when one of the factors is zero
</span>
7≠0      ∨      (r² + 8/7) = 0
                     r² ≠ - 8/7
<span>any number squared is not negative.

</span><span>We proved that none of the factors is not equal to zero , so the right side of the equation is not equal to the left . The equation is contradictory</span>
7 0
3 years ago
What is the answer to 9x-15
iren [92.7K]

Answer:

your answer would be -135

3 0
3 years ago
Read 2 more answers
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