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3 years ago

Ninety percent of what number is 45

Mathematics

1 answer:

hram777 [196]3 years ago

7 0

Divide 45 by 90%
45÷0.90=50

Check your work:
=50*90%
=50*0.90
=45

45 is 90% of 50

Hope this helps! :)

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Step-by-step explanation:

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Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

Therefor, the answer is x = 7.

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2 years ago

What are the x-intercepts of a parabola with a vertex of (-1,-16) and a y-intercept of (0,-15)?

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The vertex-form equation is
y = a(x+1)² -16
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Then the x-intercepts can be found where y=0.
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