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Strike441 [17]
3 years ago
5

Mark earns $180 per week plus $12 per hour, x. How many hours must he work to have a weekly income of at least $720?

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
5 0

Answer:

45 hours

Step-by-step explanation:

720-180 = 540

540 divided by 12 is 45

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See attached picture, is there a way to enter equations or algebraic symbols?
coldgirl [10]

SOLUTIONS

Solve a given equations or algebraic symbols?

\begin{gathered} f(x)=x^2+2x \\ g(x)=1-x^2 \end{gathered}

(A)

\begin{gathered} (f+g)(x)=(x^2+2x)+(1-x^2) \\ collect\text{ like terms} \\ x^2-x^2+2x+1 \\ (f+g)(x^)=2x+1 \end{gathered}

(B)

\begin{gathered} (f-g)(x)=(x^2+2x)-(1-x^2) \\ =x^2+2x-1+x^2 \\ =x^2+x^2+2x-1 \\ (f-g)(x)=2x^2+2x-1 \end{gathered}

(C)

\begin{gathered} fg(x)=(x^2+2x)(1-x^2) \\ =x^2-x^4+2x-2x^3 \\ fg(x)=-x^4-2x^3+x^2+2x \end{gathered}

(D)

\begin{gathered} \frac{f}{g}(x)=(x^2+2x)\div(1-x^2) \\ =\frac{x^2+2x}{1-x^2} \end{gathered}

5 0
1 year ago
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Viefleur [7K]

Answer:

588000

Step-by-step explanation:

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7 0
3 years ago
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A cone has a height of 8 yards and a radius of 3 yards. What is its volume?
alina1380 [7]
<h3>Given:</h3>
  • h= 8 yd
  • r= 3 yd
<h3>Note that:</h3>
  • h= Height
  • r= Radius
<h3>To find:</h3>

The volume of the given cone.

<h3>Solution:</h3>

\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}

\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}

Let's solve!

Substitute the values according to the formula.

V= \frac{1}{3}×3.14×{3}^{2}×8

\large\boxed{V= 75.36 \: {yd}^{3}}

<u>Therefore, the volume of the given cone is 75.36 cubic yards.</u>

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1 year ago
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taurus [48]

12 more boys than girls

ratio of boys to girls = 7:5

thus 2/12 is difference between boys and girls = 12

total students = 12 ÷ 2/12 = 72

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