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3 years ago

13

A baseball tournament begins with 128 teams. After each round of game, only half of the teams are left. How many teams will be l

eft after 4 rounds of games?

1 answer:

scoundrel [369]3 years ago

4 0

It should be 8 teams

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Item 19 The scale on a map is 1 cm:30 mi. The distance on the map between San Francisco, CA, and Chicago, IL, is 61.9 cm. What i

Harlamova29_29 [7]

Answer:

1857 miles.

Step-by-step explanation:

We have been given that the scale on a map is 1 cm:30 mi. The distance on the map between San Francisco, CA, and Chicago, IL, is 61.9 cm. We are asked to find the actual distance between San Francisco and Chicago.

We will use proportions to solve our given problem.

$\frac{\text{Actual distance}}{\text{Map distance}}=\frac{30\text{ miles}}{1\text{ cm}}$

Upon substituting map distance between San Francisco and Chicago, we will get:

$\frac{\text{Actual distance}}{61.9\text{ cm}}=\frac{30\text{ miles}}{1\text{ cm}}$

$\frac{\text{Actual distance}}{61.9\text{ cm}}\cdot 61.9\text{ cm}=\frac{30\text{ miles}}{1\text{ cm}}\cdot 61.9\text{ cm}$

$\text{Actual distance}=30\text{ miles}\cdot 61.9$

$\text{Actual distance}=1857\text{ miles}$

Therefore, the actual distance between San Francisco and Chicago is 1857 miles.

4 0

3 years ago

Can someone help me with number 8 plz

statuscvo [17]

We have the following equation:
h (t) = - 16t ^ 2 + 161t + 128
We substitute the value of h (t) = 170:
170 = -16t ^ 2 + 161t + 128
We rewrite the equation:
-16t ^ 2 + 161t + 128 - 170 = 0
-16t ^ 2 + 161t - 42 = 0
We look for the roots of the equation:
t1 = (161/32) + root (23233) / 32
t2 = (161/32) - root (23233) / 32
Answer:
The object is 170 feet off the ground at the following times:
t1 = (161/32) + root (23233) / 32
t2 = (161/32) - root (23233) / 32

7 0

3 years ago

If the radius of a circle is increased by 100%, then the area is increased by:

shtirl [24]

$A_1=\pi r^2\\\\R=2r\ then\ A_2=\pi R^2\to A_2=\pi(2r)^2=4\pi r^2\\\\A_2-A_1=4\pi r^2-\pi r^2=3\pi r^2=3A_1\\\\3=300\%\\\\Answer:(C).$

5 0

3 years ago

Show an example<br> of a ratio as a fraction in simplest form

sveta [45]

Answer:

an example of a ratio as a fraction in its simplest form is .5 is 1: 2.

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1 year ago

An open window is at the height of 15 ft above the ground. A ladder is placed 8 ft away from the side of the house. What will be

mestny [16]

It was a lot better then you got me in my life that way

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3 years ago

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