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Viefleur [7K]
4 years ago
15

A wise man once said, “500 reduced by 4 times my age is 256.” What is his age

Mathematics
2 answers:
RUDIKE [14]4 years ago
6 0

Answer:

His age = 61 years

Step-by-step explanation:

Let us consider  my age is x

500 - 4 x = 256

500 - 256 = 4 x

i.e 4 x = 500 - 256

    4 x = 244

∴  x = \frac{244}{4}

    x = 61

His age = 61 years

ch4aika [34]4 years ago
5 0
The answer to this question is 2.048
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Four students spend $12 on school lunch. At this rate fine amount 10 students would spend on the same school lunch
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Answer:

10 students would spend $30.

Step-by-step explanation:

In order to find this, start by looking for the cost per student. We can do this by dividing the overall cost by the number of students.

$12/4 students = $3 per student.

Now we take that unit rate and multiply by the new number of students.

$3 * 10 students = $30 total spent.

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3 years ago
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What is (6)(-7)? Please help fast
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Answer:

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3 years ago
If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.
zmey [24]

Answer:

a=3 and b=5.

Step-by-step explanation:

So I believe the problem is this:

\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}

where we are asked to find values for a and b such that the equation holds for any x in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)

2(4x+3)=a(x+7)+b(x-3)

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

2(4\cdot -7+3)=a(-7+7)+b(-7-3)

2(-28+3)=a(0)+b(-10)

2(-25)=0-10b

-50=-10b

Divide both sides by -10:

\frac{-50}{-10}=b

5=b

Now we have:

2(4x+3)=a(x+7)+b(x-3) with b=5

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

2(4\cdot 3+3)=a(3+7)+b(3-3)

2(12+3)=a(10)+b(0)

2(15)=10a+0

30=10a

Divide both sides by 10:

\frac{30}{10}=a

3=a

So a=3 and b=5.

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