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3 years ago

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]

Answer:

The inequality is: 5<c<19

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

Solution:

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,

Therefore the possible values of "c" are:

"c" can have values greater than 5 but less than 19

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2 years ago

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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

GCF of 18 and 32 = 2.

GCF of 21 and 84 = 21.

GCF of 36 and 100 = 4.

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GCF of 18 and 35 = 1.

GCF of 18 and 63 = 9.

GCF of 48 and 56 = 8.

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3 years ago

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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

8090 [49]

Instantaneous rate of change = S'(r) = 8πr
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Therefore, the instantaneoud rate of change of the surface area with respect to the radius r at r = 8 is 64π

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3 years ago

Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have? Wh

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

q=6

So Peggy had 2 nickels and 6 quarters.

3 0

3 years ago