2 years ago

Alex paints a total of 9 dollhouses using 2 cans of paint. How many dollhouses can Alex paint with each can of paint?

1 answer:

3 0

4 and a half houses per can of paint

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Semmy [17]

Answer:

$\frac{1}{5}$

Step-by-step explanation:

Using the rules of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$ , $\frac{a^{m} }{a^{n} }$ = $a^{(m-n)}$ , $(a^m)^{n}$ = $a^{mn}$

Simplifying the product of the first 2 terms

$\frac{a^{p^2+pq} }{a^{pq+q^2} }$ × $\frac{a^{q^2+qr} }{a^{qr+r^2} }$

= $a^{p^2-q^2}$ × $a^{q^2-r^2}$

= $a^{p^2-r^2}$

Simplifying the third term

5( $(a^p+r)^{p-r}$

= 5 $a^{(p+r)(p-r)}$ = 5 $a^{(p^2-r^2)}$

Performing the division, that is

$\frac{a^{(p^2-r^2)} }{5a^{(p^2-r^2)} }$ ← cancel $a^{(p^2-r^2)}$ on numerator/ denominator leaves

= $\frac{1}{5}$

4 0

2 years ago

kykrilka [37]

1x78=78
2x39=78
6x13=78

Hope that helped:)

5 0

3 years ago

Anit [1.1K]

I think it should be 6.5 inch but I'm not positive.

I hope this helps! :))

5 0

3 years ago

melomori [17]

The simplified answer is 0.25-3x

7 0

2 years ago

inessss [21]

10.55h is greater than or equal to 393.40

5 0

2 years ago