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Fed [463]
3 years ago
7

Solve the inequality –3(r – 5) + 7 > 28.

Mathematics
1 answer:
docker41 [41]3 years ago
5 0

Answer: r<-2

Step-by-step explanation:

-3(r-5)+7>28

-3(r-5)+7-7>28-7

-3(r-5)>21

3(r-5)/3 < -21/3

r-5<-7

r-5+5<-7+5

r<-2

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Fiesta28 [93]

Answer:

a > 8

Step-by-step explanation:

Divide by the coefficient of the variable. Since it is negative, the direction of the comparison must be reversed.

(-4a)/(-4) > (-32)/(-4)

a > 8

6 0
3 years ago
The formula for the perimeter of a rectangle is . What is the length of the unknown side of the rectangle below, if the perimete
Troyanec [42]

Answer:

Step-by-step explanation:

P=2l+2w

28=2l+2w

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l = (2w-28)/2

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3 years ago
three sets of the sum of a number and four are added to the sum of seven times the same number and thirteen
almond37 [142]

The algebraic expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)

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

Given the statement:

Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen

Let us first understand the given statement,

Let the number be "x"

" sum of a number and four" means x + 4

"Three sets of a sum of a number and four" translated to 3(x + 4)

"sum of seven times the same number and thirteen" means 7x + 13

<em><u>Thus the algebraic expression for given statement is:</u></em>

3(x+4)+(7x + 13)

<em><u>Using distributive property in above expression</u></em>

a(b+c) = ab + bc

Therefore,

3(x+4)+(7x + 13) = 3x + 12 + 7x + 13

<em><u>Combine the like terms</u></em>

3(x+4)+(7x + 13) = 10x+25

Thus the required expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)

7 0
3 years ago
Beginning at sunrise, the temperature rose 2.8 degrees per hour.
Dahasolnce [82]
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6 0
3 years ago
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What is the are of a circle that measures 12 ft in diameter?<br>​
Alexus [3.1K]

Answer:

113.04

Step-by-step explanation:

the equation for the area of a circle is pie times radius squared

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3 years ago
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