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3 years ago

Solve the equation for x showing your work 4x-5(x-2)=12x+4-x

Mathematics

2 answers:

Serggg [28]3 years ago

6 0

Answer:

x=1/2

Step-by-step explanation:

4x-5(x-2)=12x+4-x

4x-5x+10=12x-x+4

-x+10=11x+4

-x-11x+10=4

-12x+10=4

-12x=4-10

-12x=-6

12x=6

x=6/12

simplify

x=1/2

Grace [21]3 years ago

5 0

Answer: x = 1/2

Explanation :

First write the equation as you see it:

4x-5(x-2)=12x+4-x

Next do the math in the parentheses:

4x-5x+10=12x-x+4

Combine the x’s:

-12x+10=4

Switch the 10 and put it on the other side:

-12x=4-10

Change to negative to positive:

12x=6

Divide:

x=6/12

Simplify

x=1/2

Thus, you answer is x = 1/2

Hope this helps! :)

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Perform the addition. (3x² + 3x - 5) + (-7x² + 9)

lakkis [162]

The question is asking us to find the sum. To do this, let's first write the original equation and then take it from there.
$(3 x^{2} + 3x - 5) + (-7 x^{2} + 9)$ 
Use distributive property:
 $3 x^{2} + 3x - 5 - 7 x^{2} + 9$
Combine Like Terms:
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-4 x^{2} +3x+4$
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8 0

2 years ago

-5(2b + 7) + b < -b - 11

Stells [14]

-5(2b+7) + b < -b - 11
-10b - 35 + b < -b - 11

- 10b + b - 35 < -b - 11

-9b - 35 < -b - 11

- 9b + b < - 11 + 35

-8b < 24

 $\frac{-8b}{-8} \ \textless \ \frac{24}{-8}$

b < -3

Have a nice days.........

8 0

3 years ago

The state of New Jersey makes approximately $1.55 billion annually from tolls of the $1.55 billion about 3/4 comes from tolls on

Rama09 [41]

Percent of turn pike is 75% and percent of parkway is 25%.

Solution:

Given, The state of New Jersey makes approximately $1.55 billion annually from tolls of the $1.55 billion

About $\frac{3}{4}$ comes from tolls on the turnpike

Remaining $\frac{1}{4}$ comes from tolls on the parkway

To find the percent of the total revenue from turnpike:

$\begin{array}{l}{\text { Percent of turnpike }=\frac{\text { amount from parkway }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{3}{4} \text { of total revenue }}{\text { tot al revenue }} \times 100} \\\\ {=\frac{\frac{3}{4} \times \text { total revenue }}{\text { total revenue }} \times 100} \\\\ {=\frac{3}{4} \times 100=3 \times 25=75 \%}\end{array}$

To find the percent of the total revenue from parkway:

$\begin{array}{l}{\text { Percent of parkway }=\frac{\text { amount from parkway }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{1}{4} \text { of total revenue }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{1}{4} \times \text { total revenue}}{\text { total revenue }} \times 100} \\\\ {=\frac{1}{4} \times 100=25 \%}\end{array}$

Summarizing the results:

Percent of turn pike is 75%

Percent of parkway is 25%

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