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Alex Ar [27]
3 years ago
12

Solve the inequality 2c/3+1>7

Mathematics
1 answer:
givi [52]3 years ago
4 0

Answer:

c > 9

Step-by-step explanation:

To solve the inequality, we would have to get it into one of these four forms:

c > n

c < n

c ≤ n

c ≥ n

where n is a constant.

2c/3 + 1 > 7

Subtract 1 from both sides to remove the "+1" on the left side.

2c/3 > 7 - 1

Simplify.

2c/3 > 6

Multiply both sides by 6 to remove the "/3" on the left side.

2c > 6 · 3

Simplify.

2c > 18

Divide both sides by 2 to remove the coefficient of "2" on the left side.

c > 18/2

Simplify.

c > 9

c > 9 is in the form c > n, where n is 8. c > 9 would be the solution.

c > 9

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The gross income of Ginger Hughes is $215 per week. Her deductions are: $15.16, FICA tax; $29.33, income tax; 2% state tax; 1% c
Nesterboy [21]
Answer is c) $157.61
Gross Income - $215
Deductions- $15.16
FICA Tax- $29.33
State Tax- $215 x 0.02 (2%)
City Tax- $215 x 0.01 (1%) 
Retirement Fund- $215 x 0.03 (3%) 
--------------------------------------------------
                           Total- $57.39 
Gross Income - $215 - $57.39 = $157.61
4 0
3 years ago
Solve the equation x + 0.7 = 1 - 0.2x in two different ways.Then check your answer.Show your work!
expeople1 [14]
Simplifying
x + 0.7 = 1 + -0.2x

Reorder the terms:
0.7 + x = 1 + -0.2x

Solving
0.7 + x = 1 + -0.2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.2x' to each side of the equation.
0.7 + x + 0.2x = 1 + -0.2x + 0.2x

Combine like terms: x + 0.2x = 1.2x
0.7 + 1.2x = 1 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
0.7 + 1.2x = 1 + 0.0
0.7 + 1.2x = 1

Add '-0.7' to each side of the equation.
0.7 + -0.7 + 1.2x = 1 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 1.2x = 1 + -0.7
1.2x = 1 + -0.7

Combine like terms: 1 + -0.7 = 0.3
1.2x = 0.3

Divide each side by '1.2'.
x = 0.25

Simplifying
x = 0.25

I only know 1 way.
6 0
4 years ago
2) 2(8r + 5) = 24 + 9r
Anna35 [415]

Answer:

r = 2

Step-by-step explanation:

2(8r + 5) = 24 + 9r

16r + 10 = 24 + 9r

16r - 9r = 24 - 10

7r = 14

r = 2

4 0
3 years ago
Solve the following system of equations using substitution <br> x = 4 <br> 2x + 4y = 36
DiKsa [7]
Just plug in 4 for the x

2*4 +4y =36
8+4y =36
4y =36-8
4y=28
y= 28/4
y=7
7 0
3 years ago
Read 2 more answers
There are 64 animals at the zoo. ⅜ of the animals are birds. How many birds are at the zoo?
xxTIMURxx [149]

Answer:

24

Step-by-step explanation:

3/8 of the 64 total animals at the zoo are birds.

To solve, this, multiply 3/8 and 64

3/8*64=24

Another way to solve would be to make a proportion

3/8=x/64

Multiply both sides by 64 to get x by itself

64(3/8)=(x/64)64

24=x

So, 24 out of the 64 animals are birds

5 0
4 years ago
Read 2 more answers
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