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hoa [83]
3 years ago
14

C is the midpoint of AB . AC=2x +2 and AB=8x. Set up an equation and showing all steps, solve for x and length CB.

Mathematics
1 answer:
olga55 [171]3 years ago
8 0

See the attached drawing for a visual.

Since we know that AC = CB is half the length of AB, we can write that in equation form. The goal is to determine the length of CB = AC = 2x+2

2x+2 =\frac{1}{2} (8x)

2x+2 = 4x

2x = 2

x=1

Now that we know the value of x, we can find the value of CB = 2x+2:

CB = 2x+2

CB = 2(1)+2

CB = 4


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On average, the moon is 384,400 kilometers from the Earth . How is this distance written in scientific notation?
GrogVix [38]
In scientific notation, you need a number from 1 to less than 10 multiplied by a power of 10.

To turn 384,400 into a number from 1 to under 10, place a decimal point after the 3.

Now you have a number from 1 to less than 10.
3.844

Now count the number of places the decimal point moved left from its original position.
The decimal point was here: 384,400. after the last zero.
The decimal point moved 5 places to the left to be placed after the 3.
Since the decimal point moved 5 places left, the exponent of the 0 is 5.

384,400 = 3.844 * 10^5
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Luba_88 [7]
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3 years ago
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Name: Co
White raven [17]

Answer:

Thus last month Calvin made $414.90 from all the paintings sold at the art shows.

Step-by-step explanation:

Let us first analyse the given information in the question:

→ Small paints (lets call them s) sell for $25.80 Per Painting, thus:

  25.80s gives as the profit for s number paints sold.

→ Large paints (lets call them l) sell for $56.25 Per Painting, thus:

  56.25l gives as the profit for l number paints sold.

We also know last month he sold six large paintings and three small paintings thus from our variables above we can say:

s=3\\l=6         Eqn(1).

Thus the total profit of all paintings sold would be:

PROFIT= 25.80s+56.25l       which by pluggin in Eqn(1) values gives

PROFIT=25.80*3+56.25*6\\PROFIT=414.90

Thus last month Calvin made $414.90 from all the paintings sold at the art shows.

5 0
3 years ago
Dan has a board that is 8 3/4 feet long. He cuts off 4 5/6 feet and says he has 4 1/12
Ilia_Sergeevich [38]

Answer:

C

Step-by-step explanation:

The answer to this problem is 3 11/12.

1.8 3/4= 8 9/12

2.4 5/6 = 4 10/12

if you minus the two numbers, you get 3 11/12.

3 0
3 years ago
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PLEASE HELP GEOMETRY PLEASE! SHOW WORK!!
MissTica

Answer:

area = 24 cm²

Step-by-step explanation:

area = 1/2 x 6 x 8 = 24 cm²

7 0
3 years ago
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