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3 years ago

240 miles in 6 hours as a unit rate

Mathematics

2 answers:

kozerog [31]3 years ago

8 0

40 miles per hour. divide total distance by the amount of tie to get your rate

aleksley [76]3 years ago

4 0

The answer is 40 miles per hour.

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Tennis balls with a 3 inch Diameter are sold in cans of three. The can is a cylinder

MariettaO [177]

Answer:

Step-by-step explanation:

A) The equation for the volume of a sphere is $V=\frac{4}{3} \pi r^{3}$

As the diameter of each ball is 3 inches, that would mean that the radius of each is 1.5 inches.

Now we can plug our value into the equation

$V=\frac{4}{3} \pi (1.5)^{3}$

This would simplify to

V = 14.12716694 $in^{3}$

B) The equation for the volume of a cylinder is $V=d\pi h$

As there are 3 balls in a container and the diameter of each is 3, that would mean that the height is 9 inches

Now we can plug in our values into the equation

$V = (3)(9)\pi$

This would mean that this equation would simplify to

$V =$ 27\pi $in^{3}$

C) To find the empty space, we must take the total volume, the volume of the cylinder, and subtract the volume of the tennis balls

This would mean that the equation would look like this

$(27\pi)-(3(\frac{4}{3} \pi (1.5)^{3}))$

This would simplify to

42.41150082 $in^{3}$ of empty space.

6 0

4 years ago

Read 2 more answers

Write expressions that represent the horizontal and vertical side lengths of the triangle.

Elodia [21]

Answer:

happy and sad

Step-by-step explanation:

5 0

3 years ago

A. A newborn red panda weighs 100 grams. A

Sati [7]

Answer:

198 g

Step-by-step explanation:

Let y = the new weight

the healthy cub gains 7% of its newborn weight per day = 0.07 × 100 = 7 g

after d days

y = 100 + 7 d

after 14 days,

the new born will weigh = 100 + (7 × 14) = 100 + 98 = 198 g

7 0

3 years ago

Can someone help me with this problem

Naily [24]

<h3>Answer: Choice A</h3><h3>The point Z ' is at (8,4)</h3><h3>The point Y ' is at (0,4)</h3>

=================================================

Explanation:

The key thing here is that point Z does not move. Why not? Because this is where the center of dilation occurs. The center point is fixed. Everything around the center will expand away from, or contract toward, the center.

In this case, the scale factor is 4/5 = 0.8 which is less than 1. So points will contract toward the center. The old pre-image shrinks to make the image smaller.

Note how point Y = (-2,4) is 10 units away from point Z. You can count out the spaces or subtract the x coordinates. Use an absolute value to make sure the result is positive

|x1-x2| = |-2-8| = |-10| = 10

|x2-x1| = |8-(-2)| = |8+2| = |10| = 10

So 0.8 times this distance is therefore 0.8*10 = 8 meaning that point Y' is going to be 8 units away from point Z' or Z.

Subtract 8 from the x coordinate of point Z to get x-8 = 8-8 = 0.

The y coordinate stays the same at y = 4 the whole time.

----------------------------------------

In short, point Y starts at (-2,4) and moves to (0,4)

Distance from Y to Z is 10 units

Distance from Y' to Z' is 8 units

8/10 = 4/5 = 0.8 is the scale factor

Point Z does not move. So Z and Z' are at the same location.

5 0

3 years ago

Read 2 more answers

Estimate the length of one side of a square floor, if the area is 320 square feet. Give the whole number that is closest to the

RSB [31]

Let us assume the length of a side of the square floor = x feet
Area of the square floor as given in the question = 320 square feet
Then
x^2 = 320
x^2 = (17.89)^2
Then
x = 17.89
= 18 feet approx

From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the second option or option "B".

3 0

3 years ago