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Svetach [21]
3 years ago
10

There are a total of 75 students in 3 classes.

Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0
Each class needs 60,150 popsicle sticks
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You are planning to work in the summer (13 weeks). You
Llana [10]

Answer:

(a) Equations for both

y = 500 + 12x --- lifeguard

y = 15x --- camp counselor

(b) Total pay for 5 days

Lifeguard pays $800

Camp counselor pays $375

(c) Which pays more

Lifeguard job pays more

Step-by-step explanation:

Let

x \to hours

y \to total\ pay

Given

Lifeguard job

Signing\ bonus = \$500

Rate = \$12/hr

Camp counselor job

Signing\ bonus =\$0

Rate = \$15/hr

Solving (a): The equation for both

The total pay for each job is calculated as:

Total Pay = Signing Bonus + Rate * Hours

So, we have:

Lifeguard

y = 500 + 12*x

y = 500 + 12x

Camp counselor

y = 0 + 15 * x

y = 15x

Solving (b): Total pay for 5 days

First, we calculate the total hours worked in 5 days

x = 5hrs/day * 5days

x = 25hrs

So, the pay for each is:

y = 500 + 12x

y =500 + 12*25

y =800 --- Lifeguard

y = 15x

y = 15 * 25

y = 375 --- camp counselor

Solving (c): Which job pays more

By comparing the solution in (b)

800 > 375

<em>Hence, lifeguard job pays more</em>

6 0
3 years ago
A bag contains balls in a radio of 3 5 4 if there are twelve balls how many balls are in the bag!!
Elena-2011 [213]
Twelve balls are in the bag
4 0
3 years ago
Read 2 more answers
Could I have help with this?
elixir [45]
I cannot see the picture
6 0
3 years ago
. Two rectangles have a ratio of similarity of 4/7. If one side of the small rectangle is 12m long, how long is the same side of
Akimi4 [234]

Answer:

For two rectangles to be similar, their sides have to be proportional (form equal ratios). The ratio of the two longer sides should equal the ratio of the two shorter sides.

Step-by-step explanation:

3 0
3 years ago
98 POINTS! PLEASE HELP! I been stuck on this assignment for over 2 weeks. My teacher gave me a simple explanation when I asked f
Colt1911 [192]

See the attached picture.

  • Create an equation for the volume of the box, find the zeroes, and sketch the graph of the function.

The resulting box has a volume

V(x)=x(8-x)(12-x)=x^3-20x^2+96x

because the volume of a box is the product of its width (12-x), length (8-x), and height (x).

  • find the zeroes

You know right away from the factored form of V(x) that the zeroes are x=0,8,12. (zero product property)

  • sketch the graph of the function

Easy to plot by hand. You know the zeroes, and you can check the sign of V(x) for any values of x between these zeros to get an idea of what the graph of V(x) looks like. See the second attached picture.

Here's what I mean by "check the sign" in case you don't follow. We know V(x)=0 when x=0 and x=8. So we pick some value of x between them, say x=1, and find that

V(1)=1(8-1)(12-1)=7\cdot11=77

which is positive, so V(x) will be positive for any other x between 0 and 8. Similarly we would find that V(x) for x between 8 and 12, and so on.

  • What is the size of the cutout he needs to make so that he can fit the most marbles in the box?

It's impossible to answer this without knowing the volume of each marble...

  • If Thomas wants a volume of 12 cubic inches, what size does the cutout need to be?

Thomas wants V(x)=12, so you solve

x^3-20x^2+96x=12

While this is possible to do by hand, the procedure is tedious (look up "solving the cubic equation"). With a calculator, you'd find three approximate solutions

x\approx0.1284

x\approx7.6398

x\approx12.2318

but you throw out the third solution because, realistically, the cutout length can't be greater than either of the sheet's dimensions.

  • What would be the dimensions of this box?

The box's dimensions are (x in) x (8-x in) x (12-x in).

If x\approx0.1284, then 8-x\approx7.8716 and 12-x\approx11.8716.

If x\approx7.6398, then 8-x\approx0.3602 and 12-x\approx4.3602.

8 0
2 years ago
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