5q greater than or equal to 8q -3/2

Mathematics

1 answer:

kakasveta [241]3 years ago

8 0

5q ≥ 8q - 3/2

Add 3/2 to both sides.

3/2 + 5q ≥ 8q

Subtract 5q from both sides.

3/2 ≥ 3q

Multiply both sides by 2.

3 ≥ 6q

Divide both sides by 6.

0.5 ≥ q.

The value of q is less than or equal to 0.5.

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A cylindrical can contains an unknown number of golf balls. The can has a height of 10 inches and a volume of 15.625 Pi inches c

AlladinOne [14]

20 golf balls can fit in the can.

Step-by-step explanation:

Given:

Height (h) = 10 Inches

Volume of 15.625 Pi inches cube.

To Find:

How many balls can be filled in that can.

Solution:

Diameter of the golf ball [as per standard value] = 1.68 in

Radius of the golf ball = $\frac{1.68}{2} = 0.84 in$

Volume of the golf ball = $\frac{4\pi r^3}{3}$

= $\frac{4\pi (0.84)^3}{3}$

= $2.5 (or) 0.79 \pi inches$

Volume of the can = $15.625\pi in^3$

Now we have to divide the volume of the can by the volume of the golf ball, we will get = $\frac{15.625 \pi }{0.79\pi } = 19.7$ balls

Thus we can conclude that approximately 20 balls can be filled in that can.

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3 years ago

If a man can weave 450m in 6 hours. How many metres of cloth can he weave in 12 hors

Wittaler [7]

Answer: 900m

Explanation.

There are two ways you can solve to find the number of meters waved...I’ll show you how to do both.

Plan A:
1. Find the rate of meters weaves per hour by dividing 450 meters by 6 hours. The answer is 75 meters per hour.
2. Multiply the rate per hour (75) times 12 to find how many meters are weaved on 12 hours.

Plan A Answer: 900m

Plan B:
1. Set up a proportion like the one below:
2. Cross multiply and solve for x

Plan B answer: 900m