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3 years ago

The figure is made out of rectangular prisms. what is the volume?

Mathematics

2 answers:

nikklg [1K]3 years ago

6 0

to find the volume you have to multiply the length width and height of the prism

ehidna [41]3 years ago

4 0

Answer:

its volume would be the shape of a rectangle

Step-by-step explanation:

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Solve the inequality. Graph the solution. 7z< -28

Zepler [3.9K]

Answer: The answer is -9

Step-by-step explanation:

7z<-28= -9

Because we take the -28 and add 19 because that's the common denominator and we come up with -9

6 0

3 years ago

For an arithmetic sequence, a35=57. If the common difference is 5. Find a1 and the sum of the first 61 terms.

Flauer [41]

$\displaystyle\bf\\a_{35}=57\\r=5\\----\\a_1=?\\S_{61}=?\\----\\Solve:\\1)\\a_1=a_{35}-(35-1)\times r=57-34\times 5=57-170=-113\\\boxed{\bf a_1=-113}\\\\$

$\displaystyle\bf\\2)\\A_{61}=a_1+(61-1)\times r=-113+60\times5=-113+300=187\\\\S_{61}=(-113)+(-108)+(-103)+...+(-8)+(-3)+2+7+12+...+187\\\\S_{61}=SA+SB\\\\SA=(-113)+(-108)+(-103)+...+(-8)+(-3)=-(3+8+103+108+113)\\\\n=\frac{113-8}{5}+1=\frac{105}{5}+1=21+1=22~terms\\SA=-\Big( \frac{n(113+3)}{2} \Big)=-\Big( \frac{22\times116}{2} \Big)=-11\times116 =-1276$

$\displaystyle\bf\\SB=2+7+12+...+187\\\\n=\frac{187-2}{5}+1=\frac{185}{5}+1=37+1=38~terms\\\\SB=\frac{n(187+2)}{2}=\frac{38\times189}{2}=19\times189=3591\\\\S_{61}=SA+SB=-1276+3591=2315\\\\\boxed{\bf S_{61}=2315}$

8 0

3 years ago

Solve for x: −2(x + 3) = −2(x + 1) − 4. 2 3 All real numbers No solution

Viktor [21]

Answer: All real numbers

Step-by-step explanation:

−2(x + 3) = −2(x + 1) − 4

-2x -6 = -2x -2 -4

-2x -6 = -2x -6

-2x = -2x

4 0

3 years ago

Read 2 more answers

In England, mass is measured in units called stones. One pound equals 1/14 of a stone. A cat weighs 3/4 stone. How many pounds d

Anestetic [448]

First off, mass is not measured in pounds, weight is.

But, I can still solve this for you!

1/14 * 3/4
3/56 pounds is your answer

Hope this helps!

7 0

3 years ago

The table shows the distance Shannon ran over a week.

Sedbober [7]

Answer:

Shannon run 1.5 km more on Friday than on Saturday.

Step-by-step explanation:

From the given table

Distance run on Friday = 4/2 = 2 km

Distance run on Saturday = 1/2 = 0.5 km

In order to run how many more kilometers Shannon run on Friday than on Saturday, we need to subtract the distance run on Saturday from the distance run on Friday.

i.e.

Friday run - Saturday run = 2 - 0.5

= 1.5 km

Thus, Shannon run 1.5 km more on Friday than on Saturday.

8 0

2 years ago