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Sati [7]
2 years ago
13

Sam rented a bike one day in the summer. He paid $68 an hour and a rental fee of $85.00 If Sam paid $ 357.00 for the day, how ma

ny hours did he rent the bike for?
Mathematics
2 answers:
erik [133]2 years ago
5 0
357-85=272/68=4 so you take the rental fee out and then divide the total by the price per hour
Sliva [168]2 years ago
3 0

Answer:

4

Step-by-step explanation:

First of all, subtract the rental fee. 357 - 85 = 272. Now, simply divide 272 by 68 to find the number of hours. 272 / 68 = 4.

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What is the fraction for five over two
nignag [31]

Answer:

So normally you would say it as

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3 0
3 years ago
The following integral requires a preliminary step such as long division or a change of variables before using the method of par
shtirl [24]

Division yields

\dfrac{x^4+7}{x^3+2x} = x-\dfrac{2x^2-7}{x^3+2x}

Now for partial fractions: you're looking for constants <em>a</em>, <em>b</em>, and <em>c</em> such that

\dfrac{2x^2-7}{x(x^2+2)} = \dfrac ax + \dfrac{bx+c}{x^2+2}

\implies 2x^2 - 7 = a(x^2+2) + (bx+c)x = (a+b)x^2+cx + 2a

which gives <em>a</em> + <em>b</em> = 2, <em>c</em> = 0, and 2<em>a</em> = -7, so that <em>a</em> = -7/2 and <em>b</em> = 11/2. Then

\dfrac{2x^2-7}{x(x^2+2)} = -\dfrac7{2x} + \dfrac{11x}{2(x^2+2)}

Now, in the integral we get

\displaystyle\int\frac{x^4+7}{x^3+2x}\,\mathrm dx = \int\left(x+\frac7{2x} - \frac{11x}{2(x^2+2)}\right)\,\mathrm dx

The first two terms are trivial to integrate. For the third, substitute <em>y</em> = <em>x</em> ² + 2 and d<em>y</em> = 2<em>x</em> d<em>x</em> to get

\displaystyle \int x\,\mathrm dx + \frac72\int\frac{\mathrm dx}x - \frac{11}4 \int\frac{\mathrm dy}y \\\\ =\displaystyle \frac{x^2}2+\frac72\ln|x|-\frac{11}4\ln|y| + C \\\\ =\displaystyle \boxed{\frac{x^2}2 + \frac72\ln|x| - \frac{11}4 \ln(x^2+2) + C}

7 0
2 years ago
Solve for x.<br> Give the solutions in ascending order.<br><br> x^2+3x-4=0<br> x= or x=
lutik1710 [3]
To solve this equation simply find 2 numbers that multiply to give -4 and add also to give 3, these numbers are 4 and -1. Since 4 • -1 = -4 and 4 + -1 = 3.

X^2 + 3x - 4 = 0
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3 0
3 years ago
Dg
iris [78.8K]

Who bout to do all this
8 0
3 years ago
Simplify using the multiplication rule.
goldenfox [79]

A. the first one is the answer

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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