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gladu [14]
3 years ago
8

Basketball A basketball player makes 8 of 12 free throws

Mathematics
1 answer:
Anni [7]3 years ago
4 0
She will make 10 out of the 15 free throws.

Work:
8/12 = x/15

- Cross-multiply
12 • x = 12x
8 • 15 = 120

- Divide
12x ÷ 12 = x
120 ÷ 12 = 10
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What is the eighth term of the geometric sequence 6, 18, 54
Rainbow [258]

Answer:

= 4374.

Step-by-step explanation:

 it is important to understand the pattern hidden in such problem.Let’s give it a try 2, 6, 18, 54 and so on.It can be written as 2, 3*2, 9*2, 27*2 and so on.

This can be further written as2 (1, 3, 9, 27, and so on) as 2 is common in every term.Now if you see the chain 1,3,9, 27 and so….you will see a pattern hidden i.e. 3=1*3 ,9=1*3*3, 27=1*3*3*3 now 27 is the 4th term consist of three 3. So 8th term would consist of seven 3. 8th would be 8th term = 1*3*3*3*3*3*3*3 = 2187 Hence the 8th term for the series 2,6,18,54 would be= 2*2187 = 4374.

4 0
3 years ago
Express each fraction as a percent 7/20
Sergio [31]
<span>To find out what percent 7 out of 20 is, we need to ask: 7 out of 20 is how many out of 100? 5 groups of 20 make 100, so 7 out of 20 is 35 out of 100 (5 x 7 out of 5 x 20). Therefore 7/20 equals 35%, or 0.35 if we represent it as a decimal. I hope this helps</span>
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3 years ago
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Giving brainliest! This is very urgent :))
My name is Ann [436]

Answer:

3/4 and 6/8

Step-by-step explanation:

The ruler is split into 8 parts, and this point is 6/8 of the ruler, if you simplify that fraction you get 3/4.

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3 years ago
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Jill is swimming laps in a pool. The table shows how the total distance she swims depends on the number of laps she does.
CaHeK987 [17]
Answer is 750

Explanation; because 500 + 250 = 750
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2 years ago
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Find the sum of integers from 33 to 47:
ICE Princess25 [194]

Answer:

Step-by-step explanation:There are formulas to work this out, but you can also suss out an answer by a liberal application of critical thinking.

Okay, you want to add 51 + 52 + 53 + … + 99 + 100, right? (The … represents all the numbers in between, in case you were wondering.)

Well, that’s a total of 50 numbers. And if you know anything about addition, you know that it doesn’t matter what order you add them.

So you could also say 51 + 100 + 52 + 99 + 53 + 98 + … and so on.

Let’s see what happens. 51 + 100 = 151. So far so good.

Then, 52 + 99 also equals 151. And 53 + 98 also equals 151. Since there are 50 numbers, that’s 25 pairs that are going to add up to 151.

151 + 151 + 151 + 151 + … (21 more instances of 151).

So we can simplify our workload a bit. Instead of adding up all the numbers by hand, we can just multiply 151 by 25.

151 x 25 = 3775

From that, we can work out a generic formula that will allow you to add any sequence of numbers…without actually adding.

Let a be the first number in the sequence, and let n be the last number in the sequence. The number of numbers is (n - a) + 1. (You have to add 1, because if you just subtract, it’s like you’re losing the lowest number in the sequence).

So…you get the sum by adding the first and last number in the sequence, and then multiplying that result by half of the total number of numbers.

(a+n)((n−a)+12)  

an−a2+a+n2−an+n2  

−a2+a+n2+n2  

−a(a−1)+n(n+1)2  

Let’s check to see if it works!

−51(51–1)+100(100+1)2  

−51(50)+100(101)2  

−2550+10,1002  

75502  

3775  

Note that if the starting number were 1, the formula would simplify to  n(n+1)2

8 0
3 years ago
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