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Orlov [11]
3 years ago
10

William got $150 for making all A’s on his report card. He wants to spend it on CDs and DVDs. The local video store is having a

sale; all CDs are $10 and all DVDs are $15. Which of the following is a possible combination of CDs and DVDs?
Mathematics
1 answer:
olga55 [171]3 years ago
3 0
What are the options?

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Help me<br> Help me<br> Help me
koban [17]

Answer:

For the first one is 75 and 30 looks on a calculator add 75+75+30=180

6 0
3 years ago
Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 120 pounds of blended coffee beans selling for $5.17 per poun
guajiro [1.7K]

Answer:

a) 80 ibs

b) 40 ibs

Step-by-step explanation:

Let X be the pound of the high quality bean at $6.50

(120-x) will be the pound of the cheaper bean at $2.50

6.5x + 2.5(120 - x) = 5.17(120)

6.5x + 300 - 2.5x = 620.4

Collect like terms

6.5x - 2.5x = 620.4 - 300

4x = 320.4

x = 320.4/4

x= 80.1

x = 80 ibs(to the nearest pounds)

For the cheaper bean we have 120 -x

= 120 - 80

= 40 ibs

Sarah would blend 80 ibs of quality bean and 40 ibs of cheaper bean

8 0
3 years ago
Find the value of b in the graph of y=3x+b if it is known that the graph goes through the point: N(0,5)
tino4ka555 [31]

Answer:

I believe b is 5.

Step-by-step explanation:

When you place the points in the values, you get 5=3(0)+b. When you simplify it, you get 5=b. I really hope this is correct, I apologize if it isn't! I hope this helps! :)

4 0
4 years ago
Read 2 more answers
A cracker company packages its product in a box that is shaped like a rectangular prism. The box is 6 inches long, 2 inches wide
Vlada [557]
As the equation is already given, we can just substitute the corresponding values in it!
Volume = 6 x 2 x 8
= 96 in3
So the answer is C. :)
8 0
4 years ago
Read 2 more answers
A particle moves along line segments from the origin to the points (2, 0, 0), (2, 4, 1), (0, 4, 1), and back to the origin under
Shkiper50 [21]

The work is equal to the line integral of \vec F over each line segment.

Parameterize the paths

  • from (0, 0, 0) to (2, 0, 0) by \vec r_1(t)=t\,\vec\imath with 0\le t\le2,
  • from (2, 0, 0) to (2, 4, 1) by \vec r_2(t)=2\,\vec\imath+4t\,\vec\jmath+t\,\vec k with 0\le t\le1,
  • from (2, 4, 1) to (0, 4, 1) by \vec r_3(t)=(2-t)\,\vec\imath+4\,\vec\jmath+\vec k with 0\le t\le2, and
  • from (0, 4, 1) to (0, 0, 0) by \vec r_4(t)=(4-4t)\,\vec\jmath+(1-t)\,\vec k with 0\le t\le1

The work done by \vec F over each segment (call them C_1,\ldots,C_4) is

\displaystyle\int_{C_1}\vec F\cdot\mathrm d\vec r_1=\int_0^2\vec0\cdot\vec\imath\,\mathrm dt=0

\displaystyle\int_{C_2}\vec F\cdot\mathrm d\vec r_2=\int_0^1(t^2\,\vec\imath+24t\,\vec\jmath+32t^2\,\vec k)\cdot(4\,\vec\jmath+\vec k)\,\mathrm dt=\int_0^1(96t+32t^2)\,\mathrm dt=\frac{176}3

\displaystyle\int_{C_3}\vec F\cdot\mathrm d\vec r_3=\int_0^2(\vec\imath+(24-12t)\,\vec\jmath+32\,\vec k)\cdot(-\vec\imath)\,\mathrm dr=-\int_0^2\mathrm dt=-2

\displaystyle\int_{C_4}\vec F\cdot\mathrm d\vec r_4=\int_0^1((1-t)^2\,\vec\imath+2(4-4t)^2\,\vec k)\cdot(-4\,\vec\jmath-\vec k)\,\mathrm dt=-2\int_0^1(4-4t)^2\,\mathrm dt=-\frac{32}3

Then the total work done by \vec F over the particle's path is 46.

8 0
4 years ago
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