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dexar [7]
2 years ago
15

5. Use mental math to determine the solution to

Mathematics
1 answer:
Luden [163]2 years ago
7 0
X = 72, because Multiply all terms by the same value to eliminate fraction denominators then Cancel multiplied terms that are in the denominator finally, Multiply the numbers
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Determine the volume of the figure. Use 3.14 for π. Round your answer to the nearest tenth. Show all of your work.
Ostrovityanka [42]

Answer:

1985 cubic units (written as un. with the cubed exponent)

Step-by-step explanation:

First, you find the volume of the cylinder

Here's the formula:

V=\pi r^{2}h\\V=volume\\r=radius\\h=height

Now, you plug in and solve.

V=(3.14)(7.2^{2})(7.4)\\V=(3.14)(51.84)(7.4)\\V=(162.7776)(7.4)\\V=1204.55424\\rounded:\\V=1204.6

Then, you find the volume of the dome.

Here's the formula:

volume/of/a/sphere=\frac{4}{3}\pi r^{3}\\volume/of/a/dome:\\V=\frac{2}{3}\pi r^{3} \\V=volume\\r=radius

Now, you just plug in and solve.

V=(\frac{2}{3})(\pi)(r^{3})\\V=(\frac{2}{3})(3.14)(7.2^{3})\\V=(\frac{2}{3})(3.14)(373.248)\\V=(2.093)(373.248)\\V=781.208064\\rounded:\\V=781.2

Finally, you add them together, and there's your answer!

1204.6+781.2=1985.8

Hope this helped!

<em>brainliest?</em>

8 0
3 years ago
Add these two expressions. (–45t + 53s) and (–3 – 75s + 2t) 65t + 415s – 3 –145t – 115s – 3 –115t + 113s – 3 115t – 415s + 2
serious [3.7K]

Answer:

- 43t - 22s - 3

Step-by-step explanation:

(–45t + 53s) + (–3 – 75s + 2t)

Opening the brackets

-45t + 53s -3 - 75s + 2t

Collecting like terms

-45t + 2t + 53s - 75s -3

Simplify the expression

-43t -22s - 3

4 0
3 years ago
Solve for n: n/3 &gt; 66 2/3
Kitty [74]

Answer: The 2 answers are inequality form and interval notation: n>200, and (200, ∞).

Step-by-step explanation: To solve for n, you’ll need to simplify the both sides of the inequality, and then isolating the variable.

5 0
3 years ago
Write the following inequality in slope-intercept form for -4 x + 2y &gt; -8
Aleksandr-060686 [28]

Answer:

The answer is "y < 2x - 4".

Step-by-step explanation:

Write in <u>slope-intercept</u> form, the formula is "y = mx + b"

6 0
3 years ago
Best answer gets BRAINLIEST and 30 pts
Ainat [17]

Answer:

One person ordered chicken, and five people ordered steak.

X=Chicken

Y=Steak

Step-by-step explanation:

X+Y=6

14x + 17y= 99

5 0
3 years ago
Read 2 more answers
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