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sveticcg [70]
3 years ago
10

What is the value of a?-2(a-8)+6a=36

Mathematics
1 answer:
saul85 [17]3 years ago
8 0
-2(a-8)+6a=36 \\ \\ -2a + 16 + 6a = 36 \\ \\ 4a + 16 = 36 \\ \\ 4a = 36 - 16 \\ \\ 4a = 20 \\ \\ a =  \frac{20}{4} \\ \\ a = 5 \\ \\

The final result is: a = 5.
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Janaya buys a postcard from each travel destination she visits. Before starting her travels this year, Janaya had 20 postcards.
MrRa [10]

Answer:

The percentage increase in Jayana's postcard collection is 15%

Step-by-step explanation:

Jayana had 20 postcards last year

With 3 more postcards this year

From the given equation Quantity = Percent x Whole

Here;

Let P = Percent/100%

Quantity = Increment in postcard = 3 postcards

Whole = The total postcards from last year = 20 postcards

Hence,

3 postcards = P x 20 postcards

P = 3/20 = 0.15

Recall P = Percent/100%

∴ Percent = P x 100% = 0.15 x 100% = 15%

The percentage increase in Jayana's postcard collection is 15%

4 0
3 years ago
3. If dy = x^2y^2 , then what is d2y/dx2
lakkis [162]

\text{Given that,}\\\\\dfrac{dy}{dx} = x^2 y^2\\\\ \implies \dfrac{d^2 y}{dx^2} = x^2\cdot  2y \dfrac{dy}{dx}+ y^2 \cdot 2x\\\\\implies \dfrac{d^2 y}{dx^2} = x^2 \cdot  2y \cdot x^2 y^2  +2xy^2\\\\\implies \dfrac{d^2 y}{dx^2} =2x^4y^3 + 2xy^2 = 2xy^2(x^3y+1)

5 0
2 years ago
5p-14=8p+4=. show work please
Ainat [17]
No Problem!
5p-14=8p+4
I assume this is the whole problem set up properly, so now, lets subtract the left side by 5p, and then the right side.
-14=3p+4
As you can see, the 5p cancels out on the left side, and the p leftover is what 8p-5p equals.

Now, subtract both sides by 4.
-18=3p
Now, simply divide both sides by 3 to equal
p= -6
The reason we do the divide and multiplying last is because doing it first would only make it much harder.
This is the simplest way I know of to do it. If you don't understand, just ask me.
Hope it helped!
7 0
3 years ago
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Answer:

50 feet

Step-by-step explanation:

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