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nadezda [96]
3 years ago
8

Using a common denominator to order fractions, please help fast...

Mathematics
1 answer:
marshall27 [118]3 years ago
5 0
3/10=15/50 and then 8/25=16/50

So, 3/10<8/25
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The smiths have two children. The sum of their ages is 23. The produce of their ages is 132. How old are the children?
kolezko [41]

For this case we propose a system of equations:

x: Let the variable representing the age of the first child of the Smiths

y: Let the variable representing the age of the second child of the Smiths

According to the data of the statement we have to:

x + y = 23\\x * y = 132

From the first equation we have to:

x = 23-y

We substitute in the second equation:

(23-y) * y = 132\\23y-y ^ 2 = 132\\y ^ 2-23y + 132 = 0

We find the solutions by factoring:

We look for two numbers that, when multiplied, result in 132 and when added, result in 23. These numbers are 11 and 12.

Thus, we have that the factorized equation is:

(y-11) (y-12) = 0

Thus, the solutions are:y_ {1} = 11\\y_ {2} = 12

So, we can take any of the solutions:

With y = 11

Thenx = 23-11 = 12

Therefore, the ages of the children are 11 and 12 respectively.

Answer:

 The ages of the children are 11 and 12 respectively.

6 0
3 years ago
Which of the following is the simplified form of 6x−5−7x≥−12?
Anna35 [415]
-x>-7 is the answer the line
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5 0
3 years ago
If a hallway measuring 90 feet by 7 feet requires 1/2 a fluid ounce of cleaning solution per square foot, how much cleaning solu
kirill115 [55]
90ft by 7ft gives an area of:
90 x 7 = 630 sq ft

1/2 fl oz is needed for each square foot

630 x 1/2 = 315 fl oz required.
4 0
3 years ago
The value of y - r is? <br> a. 3 b. -5 c. 7 d. -7 e. 2
ser-zykov [4K]

Answer:

-7

Step-by-step explanation:


7 0
3 years ago
When results from a scholastic assessment test are sent to test-takers, the percentiles associated with their scores are also gi
hram777 [196]

Answer:

The correct option is (D).

Step-by-step explanation:

Percentiles are statistical measures that are used to interpret data. It represents the data value which is more that a specific percentage of the data set.

The <em>n</em>th percentile of a data set is the value that is more that <em>n</em>% of the data set.

⇒ It is provided that a test-taker's score was at the 94th percentile for their verbal grade.

This statement implies that the test taker scored a mark more than 94% of the other test-takers, i.e. he\she performed better than 94% of the other test-takers in the verbal grade.

⇒ Also the test-taker's score was at the 16th percentile for their quantitative grade.

This implies that the test taker scored a mark more than 16% of the other test-takers, i.e. he\she performed better than 16% of the other test-takers in the quantitative grade.

Thus, the correct option is (D).

8 0
3 years ago
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