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Schach [20]
3 years ago
12

Which expression represent a number that is one fourth as great as 10-2

Mathematics
2 answers:
WARRIOR [948]3 years ago
8 0

Answer:  The correct option is (B)  (10-2)÷4.

Step-by-step explanation:  We are to select the correct expression that represents a number that is one fourth as great as 10-2.

Let the required number be represented by x.

Then, according to the given information, we have

x=\dfrac{1}{4}(10-2)\\\\\\\Rightarrow x=\dfrac{10-2}{4}\\\\\Rightarrow x=(10-2)\div4.

Thus, the required expression is  (10-2)÷4.

Option (B) is CORRECT.

Nataliya [291]3 years ago
5 0
I think the answer to the expression would be D. (10 - 2) x 4 because (10 - 2) would be multiplied 4 times, which means it would be four times greater. I hope this made sense and also helped you in some way.
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A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution. How many of each should be used ?
schepotkina [342]

Answer:

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

Step-by-step explanation:

Let us represent:

The number of liters of 25% acid solution = x

The number of liters of 40% acid solution = y

Our system of Equations =

x + y = 240 liters....... Equation 1

x = 240 - y

A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.

25% × x + 40% × y = 240 liters × 30%

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We substitute 240 - y for x in Equation 2

0.25(240 - y)+ 0.4y = 72

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Collect like terms

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x = 240 liters - 80 Liters

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Therefore,

The number of liters of 25% acid solution = x = 160 liters

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