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Readme [11.4K]
3 years ago
5

Sarah grace has to work 75 hours of community service for her honor society. she has already worked 15 hours. how many hours a w

eek will she have to work for the next 12 weeks in order to complete the community service?
Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
6 0

Answer:

5 hours per week.

Step-by-step explanation:

Let x represent number of hours worked by Sarah per week.

The number of hours worked by Sarah in 12 weeks would be 12x.

We have been given that Sarah grace has to work 75 hours of community service for her honor society. She has already worked 15 hours.

We can represent this information in an equation as:

12x+15=75

12x+15-15=75-15

12x=60

\frac{12x}{12}=\frac{60}{12}

x=5

Therefore, Sarah have to work 5 hours per week in order to complete the community service.

Brrunno [24]3 years ago
5 0
5 hours a week to reach her goal.
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For the function
jeka57 [31]

Answer:

x = 1

Step-by-step explanation:

For a quadratic function f(x)=ax^2+bx+c, the axis of symmetry is

x=-\frac{b}{2a}.

This comes from using part of the Quadratic Formula for finding zeros of the function:

x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} = \frac{-b}{2a} \pm \frac{\sqrt{b^2-4ac}}{2a}

See the -b/(2a) in the first term?  That's the x-coordinate of the vertex (turning point) of the parabolic graph of the function.  The axis of symmetry goes through the vertex.

5 0
3 years ago
Fernando is starting at new sales job and needs to decide which of two salary plans to choose from for Plan A he will earn $100
Sati [7]
The expression for each salary plan if s is Fernando's total weekly sales, would be:

Expression A:   S= 100+ 100(0.15y)        y=Commission
Expression B:   S= 150+ 150(0.10y)         

What amount of weekly sales us plan B better than plan A, the answer would be:Plug in the numbers for Y and use the outcomes as the sales stay to increase. For example, start with 5 sales, then go to 10 then 15, and so on and so forth.
8 0
4 years ago
Write two expressions with unlike denominators whose sum is x-3/x+2, I need help it is confusing for me.
skad [1K]

Answer:

\displaystyle A=\frac{x-2}{x+3}

\displaystyle B=\frac{-5}{(x+3)(x+2)}

Step-by-step explanation:

We need to find two expressions with unlike denominators what sum

\displaystyle S=\frac{x-3}{x+2}

Let's suppose one of the expressions is:

\displaystyle A=\frac{x-2}{x+3}

Now we subtract S minus A to find the other expression B:

\displaystyle B=S-A=\frac{x-3}{x+2}-\frac{x-2}{x+3}

Multiply the first fraction by x+3 and the second by x+2;

\displaystyle B=(x+3)\frac{x-3}{(x+3)(x+2)}-(x+2)\frac{x-2}{(x+3)(x+2)}

Operating:

\displaystyle B=\frac{x^2-9}{(x+3)(x+2)}-\frac{x^2-4}{(x+3)(x+2)}

Subtracting both fractions with like denominators:

\displaystyle B=\frac{x^2-9-(x^2-4)}{(x+3)(x+2)}

Simplifying:

\displaystyle B=\frac{-5}{(x+3)(x+2)}

Thus the two expressions are:

\displaystyle A=\frac{x-2}{x+3}

And

\displaystyle B=\frac{-5}{(x+3)(x+2)}

8 0
3 years ago
adam drew 2 same size rectangles and divided them into the same number of equal part. he shaded 1/3 od one rectangle and 1/4 of
jasenka [17]
I would say that he divided each rectangle in 12 identical parts
for the first rectangle he shaded 1/3 of 12 = 4 parts 
for the second rectangle he shaded 1/4 of 12= 3 parts

so 12= 3*4 leads to a minimum of 12 parts 
:)
4 0
3 years ago
You draw one card at random from a standard deck of 52 playing cards. Find the probability that (a) the card is an even-numbered
DerKrebs [107]

Answer:

P(even )=\frac{20}{52} =\frac{5}{13}

P(heart or diamond)=\frac{13}{52} +\frac{13}{52} =\frac{1}{2}

P(nine or face card)=\frac{4}{52} +\frac{12}{52} =\frac{4}{13}

Step-by-step explanation:

You draw one card at random from a standard deck of 52 playing cards

Total cards = 52

5 even numbers in each suit. 4 times 5 = 20 even number cards

P(even )=\frac{20}{52} =\frac{5}{13}

(b) the card is a heart or a diamond

there are 13 heart and 13 diamonds

P(heart or diamond)=\frac{13}{52} +\frac{13}{52} =\frac{1}{2}

(c) the card is a nine or a face card

There are 4 nine and 12 face cards

P(nine or face card)=\frac{4}{52} +\frac{12}{52} =\frac{4}{13}

8 0
3 years ago
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