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Nostrana [21]
2 years ago
9

Solve for x: (2x/3) + 10 = (x/5) + (36/5)

Mathematics
1 answer:
Reil [10]2 years ago
4 0

Answer:

x = -6

Step-by-step explanation:

(2x/3) + 10 = (x/5) + (36/5)

15*[(2x/3) + 10 = (x/5) + (36/5)]   <em>[Multiply both sides by 15 in order to convert the fractions to whole numbers]</em>

(15/3)*2x +15*10 = (15/5)x + (15/5)*36

5*2x + 150 = 3x + 3*36

10x +150 = 3x + 108

7x = -42

x = -6

===

<u>Check:</u>

Does (2x/3) + 10 = (x/5) + (36/5) work for x = -6?

(2(-6)/3) + 10 = (-6/5) + (36/5) ?

-4 + 10 = (30/5) ?

6 = 6  YES

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Find the area of the shape shown below.
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Answer:

=6 units squared

Step-by-step explanation:

area=1/2h(a+b)

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7 0
4 years ago
Find two consecutive odd integers whose product is 99
Illusion [34]
Let x be the first odd number.

Second odd number will be x+2

Proof:

If 3 (was) the first odd number, 3+2 would be the next which is 5.

So,

(x) (x+2) = 99
xsquare + 2x = 99
xsquare +2x - 99 = 0
xsquare +11x - 9x -99 = 0
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8 0
3 years ago
Use the following algorithm:
andriy [413]

Answer:

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5 0
4 years ago
What number makes the expressions equivalent? Enter your answer in the box. 1/2(–1.4m + 0.4) =__m + 0.2A) -1.4B) 1.4C) -0.7D) 0.
Snowcat [4.5K]

Answer:

C. -0.7

Explanation:

Given the equation:

\frac{1}{2}(-1.4m+0.4)=\boxed{\square}_{}m+0.2​

First, distribute the bracket on the left-hand side:

\begin{gathered} \frac{1}{2}(-1.4m)+\frac{1}{2}(0.4) \\ =-0.7m+0.2 \end{gathered}

The number that makes the given expressions equivalent is -0.7.

The correct choice is C.

6 0
1 year ago
63n^3+54n^2-105n-90<br> Please help me factor by grouping
Zinaida [17]

Answer:3(7n+6)(3n^{2}-5)

Step-by-step explanation:

5 0
3 years ago
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