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Rina8888 [55]
2 years ago
11

Solve for the given variable. Record your work and check the solution, if possible.

Mathematics
2 answers:
scoray [572]2 years ago
7 0

Final Answer: c = 10

Steps/Reasons/Explanation:

Question: Solve for the given variable: 75c - 300 = 25c + 200.

<u>Step 1</u>: Add 300 to both sides.

75c = 25c + 200 + 300

<u>Step 2</u>: Simplify 25c + 200 + 300 to 25c + 500.

75c = 25c + 500

<u>Step 3</u>: Subtract 25c from both sides.

75c - 25c = 500

<u>Step 4</u>: Simplify 75c - 25c to 50c.

50c = 500

<u>Step 5</u>: Divide both sides by 50.

c = \frac{500}{50}

<u>Step 6</u>: Simplify \frac{500}{50} to 10.

c = 10

~I hope I helped you! :)~

nikdorinn [45]2 years ago
4 0

Answer:

10

Step-by-step explanation:

75c-300=25c+200

-25c         -25c

50c-300=200

+300         +300

50c=500

c=10

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Read 2 more answers
Find the total volume of the composite figure below. Round to the nearest thousandth.
cestrela7 [59]

Answer:

The volume of the composite figure is approximately 3567.198 cubic feet.

Step-by-step explanation:

The composite figure consists in the combination of a right cone and a cuboid. The volume of the composite (V), in cubic feet, figure can be determined by this expression:

V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h + w\cdot H \cdot l (1)

Where:

r - Radius of the circle of the right cone, in feet.

h - Height of the cone, in feet.

w - Width of the cuboid, in feet.

H - Height of the cuboid, in feet.

l - Length of the cuboid, in feet.

If we know that r = 10\,ft, h = 10\,ft, w = 20\,ft, H = 7\,ft and l = 18\,ft, then the volume of the composite figure is:

V = \frac{1}{3}\cdot \pi \cdot (10\,ft)^{2}\cdot (10\,ft) + (20\,ft)\cdot (7\,ft)\cdot (18\,ft)

V = \left(\frac{1000\pi}{3} + 2520\right)\,ft^{3}

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3 0
3 years ago
The question is in the image! Please help if u can its due really soon
Leno4ka [110]

Answer:

Angle STR = 78°

Step-by-step explanation:

So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:

20x + 12 + 10x + 33 = 180

Combine like terms

30x + 45 = 180

Subtract 45 from both sides

30x = 135

Divide both sides by 30

x = 4.5

Now we know the value of x. We just need to plug it into angle STR's given value:

10(4.5) + 33 = angle STR

45 + 33 = angle STR

78° = angle STR

4 0
3 years ago
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