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Gelneren [198K]
3 years ago
11

What is the rational number between 1/16 and 1/12?

Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0
1/2 (1/16 + 1/12)
1/2 ((3 + 4 )/48)
1/2 × 7/48
= 7/96
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One container is filled with mixture that is 25% acid. A second container is filled with a mixture that is 55% acid. The second
algol13

Answer:

Therefore the third container contains   \frac{735}{17}\% = 43.23 %  acid.

Step-by-step explanation:

Given that, One container is filled with the mixture that 25% acid. 55% acid is contain by second container.

Let the volume of first container be x cubic unit.

Since the volume of second container is 55% larger than the first.

Then the volume of the second container is

= (V\times \frac{100+55}{100})   cubic unit.

=\frac{155}{100}V  cubic unit.

The amount of acid in first container is

=V\times \frac{25}{100}  cubic unit.

=\frac{25}{100}V  cubic unit.

The amount of acid in second container is

=(\frac{155}{100}V \times \frac{55}{100}) cubic unit.

=\frac{8525}{10000}V cubic unit.

Total amount of acid =(\frac{25}{100}V+\frac{8525}{10000}V) cubic unit.

                                   =(\frac{2500+8525}{10000}V) cubic unit.

                                   =(\frac{11025}{10000}V)cubic unit.

Total volume of mixture =(V+\frac{155}{100}V) cubic unit.

                                       =\frac{100+155}{100}V cubic unit.

                                       =\frac{255}{100}V  cubic unit.

The amount of acid in the mixture is

=\frac{\textrm{The volume of acid}}{\textrm{The amount of mixture}}\times 100 \%

=\frac {\frac{11025}{10000}V}{\frac{255}{100}V}\times 100\%

=\frac{735}{17}\%

Therefore the third container contains  \frac{735}{17}\%  acid.

5 0
3 years ago
Are the ratios of the number of people to the number of rollercoaster cars in a proportional relationship? Explain your reasonin
LiRa [457]

Answer:

the answer will be 366:81

Step-by-step explanation:

you will find value of ratio 3:18

=6

then divide 366:61

=6

7 0
3 years ago
Simplify 15 to the 18th power over 15 to the 3rd power.
worty [1.4K]
The rule for quotients of similar bases with different exponents is:

(a^c)/(a^b)=a^(c-b)  in this case:

15^18/(15^3)=15^15


3 0
3 years ago
Will give brainliest
Tamiku [17]

Answer:

D. promoting general friendliness

Step-by-step explanation:

You are not invading someone's personal life. You are just being friendly.

Hope this helps! Please mark as brainliest.

6 0
3 years ago
Read 2 more answers
Ichiro took out a subsidized student loan of $13,000 at a 3.6% APR, compounded monthly, to pay for his last two semesters of col
mamaluj [8]
Interest accumulates whether he pays or not.
If he does not pay, the principal is not reduced, therefore the accumulated amount in 15 months is equal to
Future value = 13000(1+0.036/12)^15
=$13597.45 (to the nearest cent)

3 0
3 years ago
Read 2 more answers
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