What is the distributive property of 4(28)=4(20)+4()

Answers

Answer 1

Answer: Let the missing integer be x.

Now,

4(28) = 4(20) + 4(x)

According to distributive property,

A(B+C) = AB + AC

Substituting dsitributive property into the equation, we get,

4(28) = 4(20) + 4(28 - 20)

4(28) = 4(20) + 4(8)

Thus, the missing integer is 8.

(Check it!)

4(28) = 4(20) + 4(8)

112 = 80 + 32
112 = 112 ;

or, LHS = RHS.
Hence proved.

Answer 2

Answer: A(B+C)=AB+AC
4(28)=4(20)+4(?)
28-20=8
?=8

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In the above figure, ∠AOB = 80°. What does ∠ACB equal?

Answers

No diagram was provided but using the one retrieved from another source, we have a circle with a center O. Points A, B, and C are assigned around the circle. This means that ∠AOB forms a central angle. That means AB is equal to 80° as well. Now, ∠ACB forms an inscribed angle with arc AB. Recall that the value of the inscribed angle is half of the measurement of the arc. Since AB is 80°, then ∠ACB is (80/2) = 40°. Therefore, the answer is 40°.

Factor the expression 9x^2 -49

Answers

9x² - 49
3x × 3x = 9x²
-7 × 7 = -49

(3x - 7)(3x + 7)

Suppose that the cost of a paving stone is $2.50 plus $.18 for every 4 in.³ of concrete how much would each paving stone cost ?

Answers

We need to know the dimension of the paving stone.

For example, the paving stone is shaped like a rectangular prism with the following dimension.

Length = 10 inches
Width = 3 inches
Height = 2 inches

Volume of a rectangular prism = Length * Width * Height
V = 10 in * 3 in * 2 in
V = 60 in³

60 in³ / 4 in³ = 15

cost of paving stone = 2.50 + .18(15) = 2.50 + 2.7 = 5.20 per paving stone.

Find the area of the circle. Diameter of a circle=5.2cm. Then what is the area of a circle?

Answers

Answer:

21.24cm
Radius is 2.6 and we know formula of a circle is pi times radius squared so radius squared is 6.76 and we multiply that by pi giving us 21.24cm

How do you write an equation of a line that is parallel line to y=8x-8 through the point (5,2)

Answers

Parallel means that the two equations have the same slope,

so we have y = 8x + b so far.

Then we can just apply the slope to the given point by taking the y value and decreasing it by 40, due to the x value being 5

So in short, the equation that runs parallel to y = 8x-8 and intersect the point (5,2) is y = 8x -38

The time to digest the food in the small intestine is about:A : Six hours

B : Thirty Minutes

C : Three hours

D : Ten hours

Answers

After you eat, it takes about six to eight hours for food to pass through your stomach and small intestine. Food then enters your large intestine (colon) for further digestion, absorption of water and, finally, elimination of undigested food. So I would probably say six hours.

Answer: A

Hope this helps! Have an amazing day! :)

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