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solong [7]
3 years ago
9

Explain how you could mentally find 8×45 by using the distributive property

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
4 0
8 x 45 = (8 * 40) + (8 * 5) ...now that can be done mentally
Lena [83]3 years ago
4 0
8(50-5) = 400 - 40 = 360
use compatible numbers.
you have to apply the distibtive poperty  
8 x 45.
leave the 8
split 45 into tow numbers that add up to 45
40 and 5.
multiply each number by 8
8 x 40 + 8 x 5.
320 + 40
when you add both it will be 360
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2 years ago
RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include exactly
tatiyna

Answer:

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Step-by-step explanation:

The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

1 from a set of 2(Either Mrs. Vera or Mr. Jan).

3 from a set of 18 - 2 = 16. So

C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

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3 years ago
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3 years ago
A pentagonal prism has a height of 9 feet, and each base edge is 3 feet. Find the volume. Round your answer to the nearest hundr
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Height of the pentagon = 9 ft

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area of pentagon = \frac{s^{2}n}{4 tan\left ( \frac{180}{n} \right )}

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tan is the tangent function calculated in degrees

\\ \\\\area of pentagon = \frac{3^{2}(5)}{4 tan\left ( \frac{180}{5} \right )}\\\\\\area of pentagon = \frac{9(5)}{4 tan\left ( 36 \right )}\\\\area of pentagon = \frac{45}{4  ( 0.7265 )}\\\\area of pentagon = \frac{45}{2.906}\\\\area of pentagon = 15.4852

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Volume of the pentagon = 15.4852 (9)

Volume of the pentagon = 139.366

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5 0
3 years ago
Read 2 more answers
Item 2
V125BC [204]

Answer:

its b

Step-by-step explanation:

justfollow the rules

8 0
2 years ago
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