Simplify;4t-2k+5k-t?
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Answers

Answer 1

Answer:

Answer is attached to steps.

Step-by-step explanation:

Those are the steps and the answer attached

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What is the area of this figure

Answers

Answer:

247 yd²

Step-by-step explanation:

this figure can be "split" into 3 sub-figures.

2 rectangles and one triangle "at the top".

these 3 areas can be easily calculated, and the we simply sum them all up, and that is the total area.

my approach is to pick the first rectangle to be the one extruding one to the right.

R1 = 11×5 = 55 yd²

the second rectangle is then the rest of the"straight" area up to the beginning of the triangle top

R2 = 8 × (13+5) = 8×18 = 144 yd²

and the area of a triangle is

baseline × height / 2

we can clearly see in our example, it is a right-angled triangle, so the left side is also the height, which is the remainder of the long side of the original figure, when we deduct all the other parts we used for the rectangles.

so, we have

T = 8 × (30 - 5 - 13) / 2 = 8×12/2 = 8×6 = 48 yd²

so, in total we have

F = 55 + 144 + 48 = 247 yd²

The current temperature in Smalltown is 27 °F. This is 5 degrees less than twice the temperature that it was six hours ago. What was the temperature in Smalltown six hours ago?

Answers

Answer:

16° F.

Step-by-step explanation:

Given:

The current temperature in Small town is 27 °F.

This is 5 degrees less than twice the temperature that it was six hours ago.

Question asked

What was the temperature in Small town six hours ago?

Solution:

Let the temperature in Small town six hours ago was $x$

As given that the current temperature in Small town is 27 °F and this is 5 degrees less than twice the temperature of six hours ago, the equation will be:-

27 °F = 5 degrees less than twice the temperature of six hours ago

27 °F = $2x-5$ °

Adding both sides by 5

$27+5=2x-5+5\n32=2x$

Dividing both sides by 2

$(32)/(2) =(2x)/(2) \n16=x$

Thus, the temperature in Small town six hours ago was 16° F.

You know the distance between two cities is 140 miles. What is distance in kilometers?

Answers

It is known that 1 mile = 1.609 kilometers. So the distance between these two cities, in kilometers, is equal to 140*1.609, which gives us ~225km.

If y = 2x - 3, then which of the following ordered pairs lies on the graph? (1, -1) (-3, 0) (5, 4)

Answers

Plug in the points and see if they satisfy the equation.

y = 2x - 3

(1, -1)

-1 = 2(1) - 3

-1 = 2 - 3

-1 = -1

So (1, -1) satisfies the equation.

(-3, 0)

0 = 2(-3) - 3

0 = -6 - 3

0 = -9

So (-3, 0) does not satisfy the equation.

(5, 4)

4 = 2(5) - 3

4 = 10 - 3

4 = 7

So (5, 4) does not satisfy the equation.

Therefore your answer is the first one, (1, -1).

How many gallons are in 161.25 sq ft

Answers

There are none. "Square foot" is a unit of area, not volume.
Square feet are flat, and can't hold water.

If you meant to ask about 161.25 CUBIC feet, I can help you there:

(161.25 ft³) x (1,728 in³/ft³) x (1 gallon/231 in³) = 1,206.234 gallons (rounded)

i got 1206.23cubic feet when i tryed this problem hope this helped

What is K squared minus 11