1. On the first day of ticket sales, the school sold a total of 25 adult and child tickets. Each adult

Sauron [17]

Corresponding is the answer.

3 0

3 years ago

The cylinders are similar the volume of the larger cylinder is 1600 cubic centimeters what is the volume of the smaller cylinder

cestrela7 [59]

We are given Volume of the larger cylinder is = 1600 cubic centimeters.

Height of the larger cylinder = 16 cm.

We know formula of volume of a cylinder V= $\pi r^2h$ , where r is the radius of cylinder, h is the height of the cylinder.

Plugging value of V and h of larger cylinder, we get

$1600=\pi r^2(16).$

Dividing both sides by 16, we get

$\frac{1600}{16}=\frac{\pi r^2 (16)}{16}$

$r^2=100$

Taking square root on both sides, we get

r=10.

Therefore, radius of the larger cylinder is 10 cm.

We are given cylinders are similar .

<u>Note: The radii and heights of similiar cylinders are in same ratio.</u>

Therefore, we can setup a proportion:

Let us take radius of small cylinder is x.

$\frac{x}{10}=\frac{4}{16}$

$\frac{x}{10}=\frac{1}{4}$

Multiplying both sides by 10, we get

$10 \times \frac{x}{10}=10 \times\frac{1}{4}$

x=2.50.

Therefore, radius of the small cylinder = 2.5 cm.

Now, plugging radius =2.5 and height = 4 in the formula of volume the cylinder, we get

$V=\pi (2.5)^2(4)=\pi (6.25)(4) =25 \pi \ cm^3.$

Therefore, correct option is 25 pi cm^3.

8 0

2 years ago

Maria and victor each play a video game. The ratio of the number of points Maria scores to the number of points victor scores is

zvonat [6]

Answer:

Step-by-step explanation:

I don't know what a tape diagram is but I can give you the equation and the answer.

Let Victor have x points

Let Maria have y points

y = x + 424

y/x = 5/3 Cross multiply

3y = 5x Divide by 3

y = 5x/3 I Could have just multiplied by x

y = x + 424

5x/3 = x + 424 Multiply both sides by 3

5x = 3x + 1272 Subtract 3x from both sides.

5x-3x = 1272 Combine the left.

2x = 1272 Divide by 2

2x/2 = 1272/2

x = 636

Victor Scored 636 points

Maria Scored 636 + 424 = 1060

7 0

2 years ago

Someone please help me will give brainliest!!!!!

ololo11 [35]

I believe the fastest way to solve this problem is to take any two of the given points and to find the slope and y-intercept of the line connecting those two points.

Let's choose the 2 given points (-3,16) and (-1,12).
Going from the first point to the second, the increase in x is 2 and the increase in y is actually a decrease: -4. Thus, the slope of the line connecting these two points is m = -4/2, or m = -2.

Now use the slope-intercept formula to find the y-intercept, b.

One point on the line is (-3,16), and the slope is m = -2.

Thus, the slope-intercept formula y = mx + b becomes 16 = -2(-3) + b.
Here, b comes out to 10.

So now we have the slope and the y-intercept. Write the equation:

y = mx + b becomes y=-2x+10. Which of the four given answer choices is the correct one?

3 0

2 years ago

How much is 8/12 equal too

Trava [24]

.6666667 hope I helped you!

4 0

3 years ago