There are 10 sports balls in the equipment closet. Three are kickballs . Write the portion of the balls that are kickballs as a fraction, as a decimal, and in word form

Answers

Answer 1
Answer:

Answer:

Proportion of kickball =

p =(x)/(n) = (3)/(10)\n\np=0.3            

Step-by-step explanation:

We are given the following in the question:

Total number of ball, n = 10

Number of kickball,x = 3

Proportion of balls in fraction =

p =(x)/(n) = (3)/(10)

Proportion of balls in decimals =

p =(x)/(n) = (3)/(10)\n\np=0.3

Proportion in words =

3 out of 10 balls are kick balls that is 30% of the balls are kick balls.


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The function H(t) = −16t2 + 96t + 80 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 31 + 32.2t, where g(t) is the height, in feet, of the object from the ground at time t seconds. Part A: Create a table using integers 2 through 5 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? Part B: Explain what the solution from Part A means in the context of the problem.

Answers

A.
 t  H(t)   g(t)
2  208  95.4
3  224  127.6
4  208  159.8
5  160  192

The solution for H(t) = g(t) is in between 4 and 5 seconds.

B.
Between 4 and 5 seconds, the projectile and the second object will have the same.

Answer and Explanation :

Given : The function  H(t)=-16t^2+96t+80 shows the height H(t), in feet, of a projectile after t seconds.      

A second object moves in the air along a path represented by g(t) = 31 + 32.2t, where g(t) is the height, in feet, of the object from the ground at time t seconds.          

To find :

Part A - Create a table using integers 2 through 5 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located?  

Part B - Explain what the solution from Part A means in the context of the problem.

Solution :

For Part A -

Substitute the value of t from 2 to 5 in the equation H(t) and g(t)

t        H(t)=-16t^2+96t+80           g(t) = 31 + 32.2t        

2       -16(2)^2+96(2)+80=208    31 + 32.2(2)=95.4  

3       -16(3)^2+96(3)+80=224    31 + 32.2(3)=127.6

4       -16(4)^2+96(4)+80=208    31 + 32.2(4)=159.8

5       -16(5)^2+96(5)+80=160     31 + 32.2(5)=192

To determine the interval in which H(t)=g(t), we have to plot the equation and the table points and see the intersection.

Refer the attached figure below.

The intersection point of both the equations are (4.647,180.62)

This point lies between t at 4 to 5.

Therefore, H(t)=g(t) between t=4 to t=5.

For Part B -

The Part A shows that the projectile destroyed along the path are same in interval [4,5] and gives the solution of equation.

Whats the distance -6.1 and 8.4

Answers

Answer:

Step-by-step explanation:

Answer:14.5

Step-by-step explanation:

A water faucet leaked 2 ⅙ liters of water every ⅓ of an hour. How many liters did it leak every hour?

Answers

Answer:

6 and 1/2 liters

Step-by-step explanation:

2 times 3 then 1/6 times 3

You have 1 case of soap bars and there are 150 bars in a case. You use 300 bars of soap per day. How many cases do you need to order to have enough for 7 days?* 11 12 13 14

Answers

You first multiply 7*150 and that is 2100 bars of soaps you need to last 7 days. If there is 150 bars in each case you divide 2100 by 150 and you get 14?. You are using 14 cases for 7 day.

An inscribed angle is an angle formed by two chords which share an endpoint and pass through the center.True or False

Answers

The correct answer is:


False.


Explanation:


An inscribed angle is an angle formed by two chords in a circle which have a common endpoint, which is the vertex of the angle.


This vertex does not have to be the center of the circle.


The chords that make up the sides of the angle do not have to go through the center of the circle.

Answer:

False

Step-by-step explanation:

The vertex doesn't have to be in the center of the circle.

Convert the mixed number 3¼ to a percent.a. 375%
b. 333%
c. 314%
d. 325%

Answers

3 and 1/4=3+0.25=3.25/1

percent means parts out of 100 so x%=x/100
3.25/1 times 100/100=325/100=325%

D
Hi there! We know that 1/4=0.25*100=25%. If you add the 3 in 3 1/4 it would be 3.25, 3.25*100=325. Therefore, the answer is D. 325%