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aniked [119]
2 years ago
6

The lines below are parallel. If the slope of the green line is -4, what is the slope of the red line?

Mathematics
1 answer:
Advocard [28]2 years ago
7 0

ANSWER

A. -4

EXPLANATION

The slope of parallel lines are equal.

Since the green line is parallel to the red line,then they have the same slope .

Since the green line has a slope of -4, the red line also has a slope of -4.

The correct choice is A

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Examine the steps used to solve the equation.
Elina [12.6K]

Answer:

see below

Step-by-step explanation:

12.5x − 10.2 = 3(2.5x + 4.2) - 6  

Use the distributive property to distribute the 3

12.5x − 10.2 = 7.5x + 12.6 − 6  

Combine like terms

12.5x − 10.2 = 7.5x + 6.6  

Add 10.2 to each side of the equation by using the addition property of equality

12.5x = 7.5x + 16.8

Subtraction 7.5x from each side of the equation by using the subtraction property of equality

5x = 16.8  

Divide by 5 on each side by using the division property of equality

x = 3.36

6 0
2 years ago
Read 2 more answers
A food company originally sells cereal in boxes with dimensions 25 cm by 14 cm by 10 cm. To make more profit, the company decrea
hjlf

Answer:

1.75 cm

Step-by-step explanation:

We are given that the dimensions of the box as 25 cm by 14 cm by 10 cm.

Now, to increase the profit, the dimensions of the box by 'x' cm.

Thus, the new dimensions are (25-x) cm by (14-x) cm by (10-x) cm.

Further, it is given that the volume of the new box is 2,208 cm^{3}

As, Volume of the box = Length × Breadth × Height

i.e. 2208 = (25-x) × (14-x) × (10-x)

i.e. 2208 = (25-x) \times (140-24x-x^{2})

i.e. 2208=x^{3}-x^{2}-740x+3500

i.e. x^{3}-x^{2}-740x+1292=0

On solving this cubic equations, we get that, the solutions are x = 27.6, x = 1.75 and x = 26.8.

Since, the dimensions 25 cm by 14 cm by 10 cm are reduced by x cm.

Thus, if x = 27.6 or x = 26.8, then (10-x) = -17.6 or -16.8, which cannot be possible. So, x = 1.75 cm.

Hence, the dimensions were decreased by 1.75 cm.

3 0
1 year ago
Frank wants to build a garden with the dimensions below.
dexar [7]
Given:
Length = x + x + 3 = 2x + 3
Width = 2 + x 

Area = length * width 
91 ft² = (2x + 3) (2+x)
91 = 4x + 2x² + 6 + 3x
0 = 2x² + 7x + 6 - 91
0 = 2x² + 7x - 85

(2x + 17) ( x - 5)

x = -17/2 or  x = 5

Let x = 5 ; 

length = 2x + 3 = 2(5) + 3 = 13
width = 2 + x = 2 + 5 = 7

 Area = 13 x 7 = 91

Perimeter = 2(length + width)
Perimeter = 2(13 + 7)
Perimeter = 2(20)
Perimeter = 20 feet of fencing
7 0
1 year ago
Read 2 more answers
Last year, Maria spent $2,388 for natural gas. This year, she decided to use balance billing. What will her monthly payment be t
bezimeni [28]

Answer:

\$ 199

Step-by-step explanation:

Given: Maria spent $2388 for natural gas, last year.

Maria chooses to use balance billing process to pay this year´s gas bill.

Balance billing is a billing practice, where provider bill you the difference between total cost and allowed amount. It can be paid partially or monthly. It generally in practice for medical billing as healthcare bill are generated for difference between total cost and amount which is paid through insurance.

Now, lets find out monthly bill paid by Maria.

We know there are 12 months in a year.

∴ Monthly payment= \frac{\$ 2388}{12} = \$ 199

∴Maria will pay $199 monthly as her gas bill this year.

7 0
2 years ago
Tim made a down payment of $1,000. He pays $450 for 36 months. What is the total amount he pays for the car?
aniked [119]
B.) $17,200

Tim paid a total of $17,200 for the car.

Downpayment: $1,000
Total Monthly Payment: $450 * 36 mos. = $16,200

Total car payment = Down payment + Total Monthly Payment
TCP = $1,000 + $16,200
TCP = $17,200
7 0
2 years ago
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