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hodyreva [135]
3 years ago
9

Subtract 3x−7 from 9x+5. Simplify your answer.

Mathematics
1 answer:
Schach [20]3 years ago
7 0

(9X+5) - (3X-7)

9X-3X=6X

5-7=-2

6X-2

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A triangle has side lengths of 7 inches, 12 inches, and c inches. Enter values to write an inequality that describes the possibl
Leokris [45]

<u><em>Answer:</em></u>

The inequality is: 5<c<19

Length of third side "c" can have values greater than 5 but less than 19

<u><em>Solution:</em></u>

Given that,

Length of two sides of triangle are 7 inches and 12 inches respectively

Let the length of third side be "c"

The Triangle Inequality Theorem, states that, the sum of the lengths of any two sides of a triangle is greater than the length of the third side

So we get a inequality as:

Case 1:

Sum of length of two sides of triangle > length of third side

Rewrite,

Case 2:

Let 12 inches be the length of third side

Sum of sides of length 7 and c > 12

Therefore from case 1 and case 2,

Which can be combined,

<u><em>Therefore the possible values of "c" are:</em></u>

<u><em>"c" can have values greater than 5 but less than 19</em></u>

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7 0
3 years ago
Find the Greatest Common Factor of 12 and 18, show all your work
Ahat [919]

Answer:

the greatest common factor of 12 and 18 is 6.

Step-by-step explanation

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5 0
3 years ago
Read 2 more answers
The surface area, S, of a sphere of radius r feet is S = S(r) = 4πr^2. Find the instantaneous rate of change of the surface area
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svlad2 [7]
Let q and n represent the number of quarters and nickels respectively.

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To solve, use the value of q from the first equation in the second equation to get:

.05n+.25(3n)=1.6  carry out indicated multiplication on left side

.05n+.75n=1.6  combine like terms on left side

.8n=1.6  divide both sides by .8

n=2, since q=3n

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So Peggy had 2 nickels and 6 quarters.
3 0
3 years ago
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