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nata0808 [166]
3 years ago
7

Mrs. Computer is 3 times older than her daughter, Mousy. The sum of their ages is 52. How old is Mousy?

Mathematics
1 answer:
grandymaker [24]3 years ago
8 0
Mousy=m
Mrs. Computer=3m
m+3m=52
4m=52
m=52/4
m=13
mousy=13, Mrs. Computer=3*13=39 
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Shelby is creating a budget for the week. At her job she earns $15.50 per hour. Her rent cost $300. Shelby wants to have at leas
netineya [11]

Answer:

15.5x - 300 >= 280

Step-by-step explanation:

Let x = the number of hours she works.

The amount of money she earns will be 15.50x

Her rent costs $300, so that value gets subtracted from the amount she earns. That makes our expression for how much money she earns:

15.5x - 300

This amount has to be over 280, so our inequality will be:

15.5x - 300 >= 280

8 0
2 years ago
Brach and Larue is a home goods store chain, and it is about to introduce a new convection oven that’s expected to sell very wel
zvonat [6]

Answer:

\$12,465

Step-by-step explanation:

The functions for cost and revenue are given below:

Projected \:Revenue,R(x)=  -13.85x^2 + 1660x\\$Projected Cost, C(x)=55400 -279x\\Projected Profit = Revenue-Cost=R(x)-C(x)\\=-13.85x^2 + 1660x-(55400 -279x)\\=-13.85x^2 + 1660x-55400 +279x\\P(x)=-13.85x^2 + 1939x-55400

The profit will be maximized at its <u>line of symmetry,</u>x=-\dfrac{b}{2a}<u />

From P(x), a=-13.85, b=1939

<u>Line of symmetry,</u>

<u />x=-\dfrac{b}{2a}=-\dfrac{1939}{2(-13.85)}=70<u />

<u>The maximum profit that can be made will occur when x=70</u>

<u />P(x)=-13.85x^2 + 1939x-55400\\P(70)=-13.85(70)^2 + 1939(70)-55400\\=\$12,465<u />

The maximum profit that can be made form the sales of the oven is $12,465.

6 0
3 years ago
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7 0
2 years ago
Three is 7 more than one-fifth of a number.​
Paha777 [63]

Answer:

3=1/5x+7

Step-by-step explanation:

when it says "Of a number" it means to add a variable, so i added a x. and when it says "more than" it means to add, so 3=1/5x+7 is the answer

5 0
3 years ago
2. The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability th
coldgirl [10]

Answer:

0.30

Step-by-step explanation:

Probability of stopping at first signal = 0.36 ;

P(stop 1) = P(x) = 0.36

Probability of stopping at second signal = 0.54;

P(stop 2) = P(y) = 0.54

Probability of stopping at atleast one of the two signals:

P(x U y) = 0.6

Stopping at both signals :

P(xny) = p(x) + p(y) - p(xUy)

P(xny) = 0.36 + 0.54 - 0.6

P(xny) = 0.3

Stopping at x but not y

P(x n y') = P(x) - P(xny) = 0.36 - 0.3 = 0.06

Stopping at y but not x

P(y n x') = P(y) - P(xny) = 0.54 - 0.3 = 0.24

Probability of stopping at exactly 1 signal :

P(x n y') or P(y n x') = 0.06 + 0.24 = 0.30

8 0
3 years ago
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