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Anastaziya [24]
3 years ago
5

The table shows a student's work when solving the equation 8x-(4x-3)=5. Which statemen ais true?

Mathematics
1 answer:
wolverine [178]3 years ago
8 0

Answer:

x = 1/2

Step-by-step explanation:

8x-(4x-3)=5

Distribute the minus sign

8x -4x +3 = 5

Combine like terms

4x+3 =5

Subtract 3 from each side

4x+3-3 = 5-3

4x = 2

4x/4 = 2/4

x = 1/2

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3 years ago
A robotic machine fills containers with an acid solution at the rate of 50 + 5 t milliliters (mL) per second, where t is in seco
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Answer:

12,000

Step-by-step explanation:

The machine fills the containers at a rate of 50+5t milliliters (mL) per second.

Therefore, the rate of change of the number of containers, N is:

\dfrac{dN}{dt}=50+5t, 0\leq t\leq 60

dN=(50+5t)dt\\$Taking integrals of both sides\\\int dN=\int (50+5t)dt\\N(t)=50t+\frac{5t^2}{2}+C $(C a constant of integration)\\\\When t=0, , No containers are filled, therefore:$ N(t)=0\\0=50(0)+\frac{5(0)^2}{2}+C\\C=0\\$Therefore, N(t)=50t+2.5t^2

When t=60 seconds

N(60)=50(60)+2.5(60)^2\\N(60)=12000$ mL

Therefore, 12,000 milliliters of acid solution are put into a container in 60 seconds.

7 0
3 years ago
What is the area of the triangle?<br> 6<br> 18<br> units
sweet [91]

Answer:

54 units

Step-by-step explanation:

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4 0
3 years ago
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The possible different outcomes are: c. 6 outcomes.
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7 0
3 years ago
In this polygon, all angles are right angles. What is the area of this polygon? Enter your answer in the box. ft² Polygon in the
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The area of the L shaped figure is 258 ft²

<h3>Area</h3>

Area is the amount of space occupied by a two dimensional figure.

The area of a rectangle is given by:

Area = length * breadth

From the diagram, the area is:

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The area of the L shaped figure is 258 ft²

Find out more on Area at: brainly.com/question/25292087

5 0
2 years ago
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