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Allisa [31]
2 years ago
6

Jan began with 5/6 pound of modeling clay she used 1/5 of the clay to make decorative magnets she divided the remaining clay int

o 8 equal portions what is the weight of the clay in each portion
Mathematics
1 answer:
natali 33 [55]2 years ago
7 0
First, you must make common denominators...
5/6 pound = 25/30 pound
1/5 pound = 6/30 pound

Then, you must subtract
25/30 - 6/30 = 19/30

Finally, divide the remainder by 8, or multiply by the reciprocal
19/30 • 1/8 = 19/240

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For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr
anastassius [24]

Answer:

For k = 36, there is 0 solutions

For other values of k, there is 1

We never got infinite solutions on the system.

Step-by-step explanation:

We have 2 unknowns and 2 equations:

E1     8x1 + x2 = 18

E2    k*22 x1 + 9 x2 = 18

If we multiply the E1 by 9 we obtain

E3     72 x1 + 9x2 = 162

if we substract E3 with E2 we obtain

(72- 2k) x1 = 144

Thus,

x1 = 144/ (72-2k)

That is, if 72-2k = 0, otherwise there is no solution. And 72-2k = 0 when k = 72/2 = 36.

If k is not 36, then

x1 = 144/(72-2k) and we can replace this value to obtain x2 by using E1

x2 = 18-8x1 = 18- 8 * (144/72-2k)

Which is a specific number that depends only on k. Thus,

for k = 36, there is 0 solutions

for other values of k, there is unique solution.

4 0
2 years ago
The table shows ordered pairs of the function . What is the value of y when ? A 2-column table with 6 rows. The first column is
marysya [2.9K]

Answer: b?

Step-by-step explanation:

I think it b on edg.

6 0
2 years ago
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Determine the solution set of (3x + 1)2 - 100 = 0.
viktelen [127]
Solve for x.
(3x+1)2-100=0
(3x+1)2=100
3x+1=100/2
3x=50-1
x=49/3
x=16.33333
Hope that helps. If you have any other questions feel free to ask me
5 0
2 years ago
What is the approximate volume of a cone with a height of 12 in. and radius of 9 in.?
swat32
The answer would be 1017.88 in³. Use the volume for cones ( 1/3 times pi times radius times height) so 1/3*3.14*9*12 in which would be 1017.88 in³ hope it helps!
4 0
2 years ago
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astraxan [27]

Answer:

i hope this helps

Step-by-step explanation:

The answer would be A, or "A box-and-whisker plot. The number line goes from 0 to 12, and the box ranges from 4 to 10. A line divides the box at 7.

Step-by-step explanation:

If you plot the data (2, 4, 6, 8, and 12) it looks something like the poor box-and-whisker plot below

      ⊕←    |           Ф           |   →⊕

|---|---|---|---|---|---|---|---|---|---|---|---|

0  1  2  3  4  5  6  7   8  9 10 11 12

Description A describes that exact box-and-whisker plot.

5 0
2 years ago
Read 2 more answers
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