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Nutka1998 [239]
3 years ago
11

Math 8th grade. 40 pts.

Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
8 0

3864 / 34 = 113.

Have a great day!

-Pepetreefrogthe2nd

zaharov [31]3 years ago
6 0

Whats the question???

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Write the phrase as a numerical expression; the product of 5 and 7
steposvetlana [31]

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Step-by-step explanation:

12 = 7 + 5

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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)

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30=10a

Divide both sides by 10:

\frac{30}{10}=a

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So a=3 and b=5.

4 0
3 years ago
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NeTakaya

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p = \frac{2}{q}

Step-by-step explanation:

Given that p varies inversely with q then the equation relating them is

p = \frac{k}{q} ← k is the constant of variation

To find k use the condition p = 2 when q = 1, thus

k = pq = 2 × 1 = 2

p = \frac{2}{q} ← equation of variation

3 0
3 years ago
Samantha's notebook has 14 pages more than three times as much as Lisa's notebook. If Samantha's notebook has 260 pages , how ma
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Your answer is  B.82                                             
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Solve for s.
Radda [10]

Answer:

s = 5/6, s = 3

Step-by-step explanation:

(6s - 5)(s - 3) = 0

<u>Solving for s:</u>

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