Infinitely many because if you subtract 7x from both sides, you get 4 = 4, which is true at all times no matter what x is.
The kids have to wait for 1 hour to get their bags.
<u>Step-by-step explanation:</u>
Given that,
A bus with kids and a truck with their bags started moving from the school to the camp at the same time.
- The speed of the bus was 60 mph.
- It took kids 3 hours to reach the camp.
<u>To find the distance traveled by the bus :</u>
⇒ Distance = Speed × Time
⇒ 60 × 3
⇒ 180 m
∴ The distance is 180 m.
<u>To find the time taken by the truck to reach the camp :</u>
- The speed of the truck was 45 mph.
- We found the distance as 180 m.
Time taken = distance / speed.
⇒ 180 / 45
⇒ 4 hours.
∴ The time taken by the truck to reach the camp is 4 hours.
<u>To find how long the kids have to wait for their bags :</u>
The time taken by the truck to reach the camp - the time it took for the kids to arrive.
⇒ 4 hours - 3 hours
⇒ 1 hour.
∴ The kids have to wait for 1 hour to get their bags.
The maximum radius of each ball is 3.33 cm.
<h3>What is a Cylinder?</h3>
A cylinder is a three-dimensional figure which is made of two parallel circular bases separated at a certain distance by a curved surface of the same radius as that of the bases.
A 20 cm nail perfectly fits the cylinder.
So the height of the cylinder = 20cm.
A sphere is a three-dimensional geometrical figure analogous to a circle. All the points of the sphere are at the same distance from the center.
If 3 spheres have to be fitted inside the cylinder,
The sum of the diameter of the spheres will be equal to the height of the cylinder.
The spherical balls are identical and so will have the same diameter
Let the maximum diameter of the sphere that can fit in the cylinder is d cm
Then,
d + d + d = 20
3d = 20
d = 20/3 = 6.67 cm
r = 3.33 cm
The maximum radius that the spheres can have to fit in the cylinder is 3.33 cm.
To know more about Cylinder
brainly.com/question/16134180
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Use the slope formula which is y2-y1/x2-x1. -1-4/5-(-2)= -5/7
2x - 3 < 11 or 8x -10 < 82: <span>X < 23/2
<span>
Part 1</span>
</span>2x-3<11
Add 3 both sides
2x-3+3<11+3
Refine
2x<14
Divide by 2 on both sides
2x / 2 / 14 / 2
Refine
x < 7
<span>
Part 2</span>
8x-10<82
Add 10 to both sides
8x-10+10<82+10
Refine
8x<92
Divide by 8
8x / 8 / 92 / 8
Refine
x < 23 / 2
