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stellarik [79]
3 years ago
9

Questions. multiple choicw

Mathematics
1 answer:
jeyben [28]3 years ago
6 0
11. 8 * 18 = 144 in³, Option D

12. Half the height of 8 cm is 4 cm. Volume = 4 * 6 * 10 = 240 cm³, Option D

13. Double the dimensions you get 8 cm for the height, 6 cm for the radius. Then plug in. V = pi * (6)² * 8 >> pi * 36 * 8 = 288pi or ≈ 904.78, Option C

14. Half of all the dimensions are 1 in, 4 in, and 3 in. 1 * 4 * 3 = 12 in³, Option B

15. \frac{10}{16} =  \frac{x}{18} >> 16x = 180 >> x = 11.25 so Option B

16. Option D, 10 cm.

17. Option C, 8.5 in

18. Option B. 10.2 km

19. Option D. 0.82

20. cos 30 = b / 11.5 >> b = 11.5(cos (30)) = 9.96 m, Option C. 
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A driver is 15 feet below the surface of the water 10 seconds after he entered the water and 90 feet below the surface after 40
spin [16.1K]

Answer:

\frac{-75ft}{30sec} or simplified would be \frac{-2.5ft}{sec}

Step-by-step explanation:

In order to calculate the rate of change, we must subtract his end position and end time by the starting position and starting time. We are using the -15 feet since it is below the surface area as the starting position and the 10 seconds as the starting time. We make each of these into a fraction and subtract like so...

\frac{-90ft - (-15ft)}{40sec - 10sec} = rate of change

\frac{-75ft}{30sec} = rate of change

\frac{-2.5ft}{sec} = rate of change

Therefore, we can see that the rate of change of the diver is \frac{-75ft}{30sec} or simplified would be \frac{-2.5ft}{sec}

6 0
3 years ago
32 pt =how many gallons
exis [7]
32 PINTS WOULD BE 4 GALLONS
6 0
3 years ago
Read 2 more answers
How much of a spice that is 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5%
kozerog [31]
<h3>Answer:</h3>

87.5 ounces

<h3>Explanation:</h3>

There's a cute "X-diagram" tool that can be used for solving mixture problems of all kinds. (See the attachment.) The numbers on the left represent the percentages of the constituents of the mix. The number in the center is the desired percentage in the resultant mix. The numbers on the right in the X are the differences along the diagonals. (6-5=1, 5-3=2)

These are also the proportions of the constituents in the final mix. That is, there are 2 parts of spice that is 6% salt for each 1 part of spice that is 3% salt. So, we need half as much of the latter as the former.

Half of 175 ounces is 87.5 ounces, the amount of 3% spice that is needed.

_____

If you really want to write an equation, you can let x represent the amount of 3% spice needed. Then the amount of salt in the mix is ...

... 175×6% +x×3% = (175+x)×5%

Dropping the percent symbols and eliminating parentheses, we have

... 1050 +3x = 875 +5x

... (1050 -875) = (5x -3x) . . . . . add -875-2x

... 175/2 = x = 87.5 . . . . . . . . . . divide by the coefficient of x

5 0
3 years ago
Read 2 more answers
For the function<br> g(x) = 1/3x-2, find g(3a – 6)
Keith_Richards [23]

Answer:

g(3a – 6) = a - 4

Step-by-step explanation:

g(x) = 1/3x - 2

g(3a – 6) = 1/3(3a – 6) - 2

= a - 2 - 2

= a - 4

7 0
3 years ago
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A house purchased for 125,000 is expected to appreciate according to the formula y = 7,000x + 125,000, Where Y is the value of t
Dennis_Churaev [7]

Answer:

When x = 5, y = 7000 * 5 + 125000 = $160,000.

When x = 10, y = 7000 * 10 + 125000 = $195,000.

7 0
4 years ago
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