How can you evaluate this expression using the distributive property?
5×(7+6)

Answers

Answer 1
Answer:

Answer:

35+30=65

Step-by-step explanation:

Answer 2
Answer:

Answer:

65

Step-by-step explanation:

you first do what is in the ( ) then multiply by 5


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Choose the correct sum of the polynomials (3x3 − 5x − 8) + (5x3 + 7x + 3).8x3 + 2x + 5 2x3 − 12x − 11 2x3 + 12x − 5 8x3 + 2x − 5
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For each hour he babysits, Anderson earns $1 more than half of Carey’s hourly rate. Anderson earns $6 per hour. Which equation can be used to solve for Carey’s hourly rate, c?

Answers

Answer:

The equation is 1/2c + 1 = 6

The answer to this equation is 10.

Step-by-step explanation:

Anderson earns $1 more, so you would put '+1' in the equation. Since it says 'half of Carey's hourly rate', you would put 1/2c in the equation. $6 is the total, so that would go on the other side of the equation, thus creating the final equation 1/2c + 1 =6.

Carey earns c hourly
Anderson earns $6 hourly which is also 1+ c/2
So, 6=1+c/2
      12=2+c
c=$10
Carey earns $10 hourly

Sidney flew in an airplane five times during her vacation.The flights averaged 2 hours 28 minutes long The lengths of her first four flights were 2 hours 10 minutes,3 hours 20 minutes,1 hour 15 minutes,and 2 hours 40 minutes.What was the length of her last flight?

Answers

(everything broken down into minutes to solve)
130+200+75+160+x/5=148
*5
565+x=740
-565
x=175
x=2 hours 55 minutes


Kala purchased a prepaid phone card for S15. Long distance calls cost 24 cents a minute using this card. Kala used her card only once to make a longdistance call. If the remaining credit on her card is $5.64, how many minutes did her call last?

Answers

15 - x = 5.64

15 - 5.64 = x

9.36 = x

//

9.36 / 0.24 = 39

her call lasted 39minutes.

What is one-third of 2,700?

Answers

2700* 1/3 = 2700 ÷ 3 = 900

help this helps!

Final answer:

To get one-third of a number, you divide that number by 3. When we divide 2,700 by 3, the result is 900. Therefore, one-third of 2,700 is 900.

Explanation:

To find a fraction of a whole number, we multiply the numerator of the fraction by the provided number and then divide the product by the denominator of the fraction.

To find one-third of a number, you can divide that number by 3.

In this case, to find one-third of 2,700, you simply divide 2,700 by 3.

The result when you divide 2,700 by 3 is 900

Therefore, one-third of 2,700 is 900.

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If the diameter of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°?

Answers

Answer:

Length of arc of a circle is given by:

L = r \cdot \theta     .....[1]

where

L is the length of an arc

r is the radius of  the circle.

As per the statement:

Diameter of the circle(D) = 6 inches.

we know that:

D  =2r

6 = 2r

Divide both sides by 2 we get;

3 = r

or

r = 3 inches

We have to find the long arc arc subtended by an angle measuring 70°.

Substitute the value of r = 3 inches and \theta = 70^(\circ) in [1] we have;

L =3 \cdot 70

Simplify:

L = 210 inches

Therefore, 210 inches long is the arc subtended by an angle measuring 70 degree.

C = πD = π6in

Arc = D * 70°/360° = 3.1416*6*7/36=3.67 in

Find the area of the circle in terms of pi. 20mAnswers
20 pi m^2
40 pi m^2
400pi m^2
200pi m^2

Answers

What is the area of a circle formula?

The area of a circle formula:
\pi r^2

So all you have to do...
is plug in 20 for r!

20 \pi ^2
20 x 20 is 400.
400 \pi

If you don't want pi...
400 x pi is about:
1256.64

The answer is (C).

Final answer:

The area of the circle with a radius of 20m is 400π square meters.

Explanation:

The formula to find the area of a circle is π * radius2. Given that the radius is 20m, we can substitute it into the formula: Area = π * (20m)2. This simplifies to 400π m2. Therefore, the correct answer is 400π m2.

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