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3 years ago

Solve the equation 3|4x+3|+8=17

Mathematics

1 answer:

pentagon [3]3 years ago

3 0

Answer:

x=-3/2 or x=0

Step-by-step explanation:

Subtract 8 from both sides

3|4x+3|+8-8=17-8

Simplify

3|4x+3| = 9

Divide both sides by 3

3|4x+3|/3 = 9/3

Simplify

|4x+3|=3

Apply absolute rule

4x+3=-3 or 4x+3=3

Solve

x=-3/2 or x=0

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Charli bought 2 3/4 pounds of pears for 0.76 per pound and 2 3/4 pounds of grapes for 1.40 per pound. how much money in dollars

MArishka [77]

Answer:

$Total = \$5.94$ ---- in dollars

$Total = 594\ cents$ ---- in cents

5 dollars 94 cents

Step-by-step explanation:

Given

Pears

$Weight = 2\frac{3}{4}\ lb$

$Amount = \$0.76$ per pound

Grapes

$Weight = 2\frac{3}{4}\ lb$

$Amount = \$1.40$ per pound

Required

Determine the amount paid for the fruit in dollar and cents

First, we need to calculate the amount paid for each fruit.

This is calculated by multiplying the amount per pound by the number of pounds bought.

For Pears:

$Total_{Pears} = 2\frac{3}{4} * \$0.76$

Convert fraction to decimal

$Total_{Pears} = 2.75 * \$0.76$

$Total_{Pears} = \$2.09$

For Grapes

$Total_{Grapes} = 2\frac{3}{4} * \$1.40$

Convert fraction to decimal

$Total_{Grapes} = 2.75 * \$1.40$

$Total_{Grapes} = \$3.85$

Next, we add both amounts together to get the total amount spent in dollars.

$Total = Total_{Pears} + Total_{Grapes}$

$Total = \$2.09 + \$3.85$

$Total = \$5.94$

Multiply by 100 to convert this amount to cents

$Total = 5.94 * 100\ cents$

$Total = 594\ cents$

And it can be represented as dollars and cents as:

5 dollars 94 cents

8 0

3 years ago

On 7 jobs, a welder charges 3.5 hours, 9.5 hours, 4 hours, 5.5 hours, 12 hours, 8.5 hours, and 6 hours. Find the average hours b

defon

All you need to do is add all 7 job hours, and divide the total by 7. Your answer should be 7

3 0

3 years ago

Use the Distributive Property to factor the expression. 24a+6=

emmainna [20.7K]

Answer:

6(4a+1)

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7Bx%20%2B%202%7D%20%20-%20%20%7B3%7D%5E%7Bx%7D%20%20%3D%20%20%5Cfrac%7B8%7D%7B9%

ser-zykov [4K]

$3^{x + 2}$ - $3^{x}$ = $3^{x}$ * $3^{2}$ - $3^{x}$ = 9( $3^{x}$ ) - 1( $3^{x}$ ) = 8( $3^{x}$ )

$3^{x + 2}$ - $3^{x}$ = $\frac{8}{9}$

⇒ 8( $3^{x}$ ) = $\frac{8}{9}$

⇒ $3^{x}$ = $\frac{1}{9}$ multiplied both sides by 8

⇒ $3^{x}$ = $\frac{1}{3^{2} }$

⇒ $3^{x}$ = 3⁻²

⇒ x = -2

Answer: x = -2

6 0

2 years ago

Solve by using any method of substitution 4 +8x = y 6x - y = 2

Bumek [7]

Answer:

(-3,-20)

Step-by-step explanation:

4 +8x = y ...... equation (1)

6x - y = 2 ........equation(2)

from equation 2

6x - y = 2

6x -(4+8x) =2

6x - 4 + 8x = 2

+4 +4

6x - 8x = 6

-2x=6

divide by -2

x= -3

put x in equation (1) to solve for y

4 + 8x = y

4+8(-3)=y

4-24=y

-20=y

y= -20

solution = (-3,-20)

8 0

3 years ago