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harina [27]
3 years ago
10

2.5 + 0.5k=2(k + 0.5)

Mathematics
2 answers:
Alecsey [184]3 years ago
5 0

Answer:

k =1

Step-by-step explanation:

Solve for k:

0.5 k + 2.5 = 2 (k + 0.5)

Expand out terms of the right hand side:

0.5 k + 2.5 = 2 k + 1

Subtract 2 k from both sides:

(0.5 k - 2 k) + 2.5 = (2 k - 2 k) + 1

0.5 k - 2 k = -1.5 k:

-1.5 k + 2.5 = (2 k - 2 k) + 1

2 k - 2 k = 0:

2.5 - 1.5 k = 1

Subtract 2.5` from both sides:

(2.5 - 2.5) - 1.5 k = 1 - 2.5

2.5 - 2.5 = 0:

-1.5 k = 1 - 2.5

1 - 2.5 = -1.5:

-1.5 k = -1.5

Divide both sides of -1.5 k = -1.5 by -1.5:

(-1.5 k)/(-1.5) = (-1.5)/(-1.5)

(-1.5)/(-1.5) = 1:

k = (-1.5)/(-1.5)

(-1.5)/(-1.5) = 1:

Answer:  k = 1

sammy [17]3 years ago
5 0

Answer:

k=1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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Step-by-step explanation:

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3 years ago
If Luke pushes his sister in a wagon down the driveway that is 14 meters long and it takes 22 Newtons of force, how much work di
erica [24]

Hello!

The answer is:

Luke did a work of 308N.m or 308 Joules.

<h2>Why?</h2>

When a force is applied on a object making it to move covering a distance we call it "work". The movement caused by the force, will follow the same direction that the force.

We can calculate the work done by using the following equation:

Work=Force*distance*Cos(\alpha)

Where,

Work is the transferred energy.

Force, is the force applied to the object.

Distance, is the distance covered due to the applied force.

α, is the angle at the work is done.

We are given the following information to calculate the work done:

Force=22N\\Distance=14m

So, substituting the given information into the equation to calculate work, we have:

Work=Force*distance\\Work=22N*14m=308N.m

Hence, we have that Luke did a work of 308N.m or 308 Jouls.

Have a nice day!

3 0
3 years ago
The lenght of a rope is 2.589 yards.round the lenght to the nearest tenth of a yard.
Sphinxa [80]
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5 0
3 years ago
Help please!!! Find the area of the shaded region. All angles are right angles
kompoz [17]

Answer:

Area = 147 m^{2}

Step-by-step explanation:

The area of the shaded region is equal to the total area of the full square minus the area of the non shaded region.

The area of a rectangle is its base times its high

So A=b*a.

For the full square, A1=9m*23m=207m^{2}

For the non shaded square, A2 = 15m * 4m = 60m^{2}

So the shaded area is A1-A2 = 207 m^{2} -60 m^{2} = 147 m^{2}

8 0
3 years ago
Jean transformed a point by using the rule (x,y)(x-6,y+8) the image point is (-4,1) which point is the pre image
Xelga [282]

To find the pre image you need to back track on the image. To get to the image you used (x-6,y+8). Now you need to use the exact opposite to get back to the pre image. For this you would change the signs to look like (x+6,y-8). Now we just apply this to (-4,1).

(-4+6,1-8)

(2,-7) should be the pre image point.

8 0
3 years ago
Read 2 more answers
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