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Marrrta [24]
3 years ago
7

Find the percent of increase. Original number: 45 books New number: 63 books

Mathematics
1 answer:
BARSIC [14]3 years ago
7 0

Answer:

Step-by-step explanation:

first you multiply 45 by .40 you multiply by .40 because that is the percent increase.

45*.40=18

then you just add the 18 to  45 which get you 63.

answer:40%

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If f(x)=25-x^2 and g(x)=x+5, what is (f/g)(x)? Write your answer in the simplest form.
Flura [38]
F(x) = -x² + 25
g(x) = x + 5

(f ÷ g)(x) = ⁻ˣ²⁺²⁵/ₓ₊₅
(f ÷ g)(x) = ⁻¹⁽ˣ⁺⁵⁾⁽ˣ⁻⁵⁾/ₓ₊₅
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4 0
3 years ago
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10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x
ddd [48]
Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}

\bf \cfrac{4\sqrt{28350x}}{189x}\qquad 
\begin{cases}
28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\
\qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\
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\end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x}
\\\\\\
\cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}
4 0
3 years ago
(07.04)
dolphi86 [110]

Answer:

1. 6

2. $1.63

3. 4.6

4. 32

5. 34n = 306

6. 3/8

Step-by-step explanation:

4 0
3 years ago
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vladimir1956 [14]
So prime numbers are numbers which cant be divided by any number other than one and these are <span>2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, </span>61<span>, </span>67<span>, </span>71,73<span>, </span>79<span>, </span><span>83

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3 years ago
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Every day Amy travels 30 miles one-way to work. The park-and-ride where she catches the train is 5 miles from her home. The aver
sukhopar [10]

Answer:

26

Step-by-step explanation:

3 0
3 years ago
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