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vovangra [49]
3 years ago
13

Paul had a job during the summer. He earns 9. 25 per hour. He worked 22 hours each week for 6 weeks. How much money did paul ear

n over the summer.
Mathematics
1 answer:
anzhelika [568]3 years ago
7 0

Answer:

$1,221

Step-by-step explanation:

22 hours x 6 weeks = 132 hours

132 x $9.25 = $1,221

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ehidna [41]
\text{The standard form a linear equation is given by the formula:}\\
Ax+By+C=0\\\\
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5x-4y+3=0 \Rightarrow A


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-6y=-2x+18\\
y=\dfrac{-2}{-6}x+\dfrac{18}{-6}\\
y=\dfrac{1}{3}x-3\\\\
m=\dfrac{1}{3}
7 0
3 years ago
Simplify: 21j-26+4j=21+6-2j
Molodets [167]
1. 21j-26+4j=21+6-2j
2. 25j-26=27-2j
3. 27j=53
4. j=53/27
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3 years ago
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4 0
3 years ago
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a ra
Dovator [93]
Circumference of a circle is C = 2πr.

part 1)

so the radius of the smaller gear is 3 inches, so after a full rotation, namely a revolution, the smaller gear has covered an arc of 2π(3), or 6π.

what angle has the larger gear of 7 inches in radius, has it covered with an arc of 6π?

\bf \textit{arc's length}\\\\
s=r\theta ~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
s=6\pi \\
r=7
\end{cases}\implies 6\pi =7\theta \implies \cfrac{6\pi }{7}=\theta



part 2)

since the larger gear has a radius of 7, in a revolution it will have an arc of 2π(7), or 14π.

now, we know the smaller gear does a 6π arc in a revolution, how many revolutions will it do in an arc of 14π?

\bf \begin{array}{ccll}
arc&revolution\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
6\pi &1\\
14\pi &x
\end{array}\implies \cfrac{6\pi }{14\pi }=\cfrac{1}{x}\implies \cfrac{3}{7}=\cfrac{1}{x}\implies x=\cfrac{7}{3}
6 0
3 years ago
A cooking group made 240 oz of spaghetti sauce to sell at a county fair. The group can pour the sauce into small jars that hold
marshall27 [118]
First, find the function that represents x and y.

x is the number of 8 oz jars
y is the number of 16 oz jars

function: 8x + 16y = 240

x-intercept: y = 0 => 8x = 240 => x = 30 => (30,0)
y-intercept: x = 0 => 16y = 240 => y = 15 => (0, 15)

Answer: (0,15) and (30,0)
 


4 0
3 years ago
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