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Sedaia [141]
2 years ago
12

459 divided by 12 For my sis

Mathematics
1 answer:
xxTIMURxx [149]2 years ago
8 0

Answer:

38.25

Step-by-step explanation:

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George wishes to increase the percent of acid in 50ml of a 15% acid solution in water to 25% acid, how much pure acid must you a
Andreyy89
Amount times concentration=quantity

50(0.15)+x(1)=(50+x)(0.25)
x=amount of acid to add

so
7.5+x=12.5+0.25x
minus 0.25x both sides
7.5+0.75x=12.5
minus 7.5 both sides
0.75x=5
divide both sides by 0.75
x=6.666666666
converts to 6 and 2/3

you have to add 6 and 2/3ml of pure acid
4 0
3 years ago
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DeRay bought 2 1/4 ` pounds of raisins and divided them into snack packs with `1/8 pound in each snack pack. How many snacks pac
Firlakuza [10]

Answer:

18 snack packs

Step-by-step explanation:

2 1/4 = 9/4 = 18 / 8

18/8 divided by 1/8 = 18

4 0
3 years ago
Well can someone help get the answer in at least 4 minutes tops
Alex

Answer: 14 is the answer, C.

6 0
3 years ago
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What is 1/4x-6=-10 step by step please help me
Aloiza [94]

Answer:

x = -16

Step-by-step explanation:

\frac{1}{4}x-6=-10 < ==add\ 6\ to\ both\ sides\\ \ \ \ \ \ \ \ \ +6  \  \ \ \  \  \ \  \ +6\\\\\frac{1}{4}x=-4 < ==multiply\ both\ sides\ by\ 4\\4(\frac{1}{4}x=-4)\\\\x=-16 < ==final\ answer

Hope this helps!

3 0
2 years ago
Find the 10th partial sum of the arithmetic sequence defined by
Evgesh-ka [11]

Answer:

22.5


Step-by-step explanation:

If you expand the series, you can see the first few terms of the series:

  • Putting 1 in n, \frac{1}{2}(1)-\frac{1}{2}=0
  • Putting 2 in n, \frac{1}{2}(2)-\frac{1}{2}=0.5
  • Putting 3 in n, \frac{1}{2}(3)-\frac{1}{2}=1
  • Putting 4 in n, \frac{1}{2}(4)-\frac{1}{2}=1.5

We can see the series is 0, 0.5, 1, 1.5, ....

This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.

We know formula for sum of arithmetic series:

s_{n}=\frac{n}{2}(2a+(n-1)d)

Where,

  • S_{n} denotes the nth partial sum
  • a is the first term (in our case it is 0)
  • n is the term (in our case it is 10 since we want to find 10th partial sum -- sum until first 10 terms)
  • d is the common difference (difference in term and the previous term) (in our case it is 0.5)

Substituting these into the formula, we get the 10th partial sum to be:

s_{10}=\frac{10}{2}(2(0)+(10-1)(0.5))\\s_{10}=5(0+(9)(0.5))\\s_{10}=5(0+4.5)\\s_{10}=5(4.5)\\s_{10}=22.5

So the sum of the first 10 terms is 22.5. Third answer choice is right.


8 0
3 years ago
Read 2 more answers
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