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Murrr4er [49]
3 years ago
12

3 Parts with a picture. Thanks!

Mathematics
1 answer:
tatuchka [14]3 years ago
7 0

We have $8.50 an hour gross minus $2.15 an hour tax and bennys.  Then $3.75 daily expense.  In one week our net take-away y after x hours is

y = x(8.50 - 2.15) - 5(3.75)

That's the answer, or we can simplify it to

Answer: y = 6.35 x - 18.75

Answer: The slope, 6.35, is the net dollars per hour <em>before weekly expenses.</em>

Answer: The y intercept, -18.75, is the weekly expense, negative because it's an expense.

To make $120 in a week, we solve for x where y=120

120 = 6.35x - 18.75

138.75 = 6.35 x

x = 138.75 / 6.35 = 21.8503937007874

That wasn't the nice round number I was expecting/hoping for.  I don't see a mistake so let's go with

Answer: 21.85 hours to make $120

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the area of a rectangular room is 750 square feet. the width of the room is 5 feet less than the length of the room. which equat
zhuklara [117]
Let's assume length of the room as y
so the width of the room = y - 5

Area
y * (y - 5) = 750

3 0
3 years ago
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Temka [501]

Answer:

4

Step-by-step explanation:

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8 0
2 years ago
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Where were the two cars in relation to each other when they began traveling?
Elza [17]

Answer:

The answer is A.

Step-by-step explanation:

As can be seen in the graph, car B starts at the "20" mark on the vertical axis, signifying that it starts 20 miles east of car A.

Hope this helped!

3 0
3 years ago
A closed box with a square base is to have a volume of 85. 75 cm^3. the material for the top and bottom of the box costs ​$3.00
tiny-mole [99]

We can create two equations here:

(1) Volume = area of square * height of box

85.75 = s^2 h

(2) Cost = 3 * area of square + 1.5 * area of side box

C = 3 s^2 + 1.5 s h

 

From (1), we get:

h = 85.75 / s^2

 

Combining this with (2):

C = 3 s^2 + 1.5 s (85.75 / s^2)

C = 3 s^2 + 128.625 s-

 

Taking the 1st derivative and equating dC/ds = 0:

dC/ds = 6s – 128.625 / s^2 = 0

Multiply all by s^2:

6s^3 – 128.625 = 0

6s^3 = 128.625

s = 2.78 cm

 

So h is:

h = 85.75 / s^2 = 85.75 / (2.78)^2

h = 11.10 cm

 

So the dimensions are 2.78 cm x 2.78 cm x 11.10 cm

 

The total cost now is:

C = 3 (2.78)^2 + 1.5 (2.78) (11.10)

C = $69.47

8 0
3 years ago
Flor tiene una papelería y vende los lápices en $12 y los bolígrafos en $20. ¿Qué expresión algebraica permite saber cuánto debe
stiks02 [169]

Answer:

c=120x+200y

Step-by-step explanation:

La expresión algebraica debería indicar que el valor total que debe cobrar Flor es igual a 10 que representa el número de bolsas por el resultado de la suma del precio de cada item por la cantidad, lo que se puede expresar de la siguiente forma:

c=10(12x+20y)

c=120x+200y

De acuerdo a esto, la expresión algebraica que permite saber cuánto debe cobrar Flor por 10 bolsas que contengan x cantidad de lápices y "y" cantidad de bolígrafos es c=120x+200y.

7 0
3 years ago
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