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Juliette [100K]
3 years ago
7

What is thirty three and a third percent of 237?

Mathematics
1 answer:
Georgia [21]3 years ago
6 0

Answer:

79

Step-by-step explanation:

(237)(1/3) = 79

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olganol [36]

Answer: C. y + 4 = 1/2(x - 1)

Step-by-step explanation:

point slope form is y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point on the line.

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3 years ago
The first two terms in an arithmetic progression are -2 and 5. The last term in the progression is the only number in the progre
Rudik [331]

Given:

The first two terms in an arithmetic progression are -2 and 5.

The last term in the progression is the only number in the progression that is greater than 200.

To find:

The sum of all the terms in the progression.

Solution:

We have,

First term : a=-2

Common difference : d = 5 - (-2)

                                      = 5 + 2

                                      = 7

nth term of an A.P. is

a_n=a+(n-1)d

where, a is first term and d is common difference.

a_n=-2+(n-1)(7)

According to the equation, a_n>200.

-2+(n-1)(7)>200

(n-1)(7)>200+2

(n-1)(7)>202

Divide both sides by 7.

(n-1)>28.857

Add 1 on both sides.

n>29.857

So, least possible integer value is 30. It means, A.P. has 30 term.

Sum of n terms of an A.P. is

S_n=\dfrac{n}{2}[2a+(n-1)d]

Substituting n=30, a=-2 and d=7, we get

S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7]

S_{30}=15[-4+(29)7]

S_{30}=15[-4+203]

S_{30}=15(199)

S_{30}=2985

Therefore, the sum of all the terms in the progression is 2985.

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3 years ago
from a set of 18 marbles, 2 white, 6 green, and 10 yellow, we choose one at random. what are the odds in favor of choosing a yel
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5:9 chances of choosing a yellow marble
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Answer:

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3 years ago
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A piece of cloth was 30 feet long. how long is this cloth in yards? one yard = 3 feet​
Alinara [238K]

Answer:

10 yards

Step-by-step explanation:

Every 1 yard is 3 feet, the cloth is 30 feet
30 ÷ 3 = 10

The cloth is 10 yards.

Hope this helps!

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