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damaskus [11]
2 years ago
10

Gray can ride his bike 6miles in 20 minutes at this rate how many miles can he ride in 100 minutes

Mathematics
1 answer:
oksano4ka [1.4K]2 years ago
4 0
30. Since he can ride the bike 6 miles in 20 mins, and 100 divided by 20 is 5, the answer would be given to you by multiplying 5x6, which is 30. So he can travel 30 miles in 100 minutes.
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A basketball player stands near the middle of the court and throws the ball toward the basket.
kompoz [17]

Answer:

A function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

Step-by-step explanation:

General equation of parabola in vertex form y= a(x-h)^2+k

y represents the height

x represents horizontal distance

(h,k) is the coordinates of vertex of parabola

We are given that The  ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.

So,(h,k)=(18,12)

Substitute the value in equation

y=a(x-18)^2+12  ---1

The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0

So, y = 6

So,6=a(0-18)^2+12

6=324a+12

-6=324a

\frac{-6}{324}=a

\frac{-1}{54}=a

Substitute the value in 1

So,y=\frac{-1}{54}(x-18)^2+12

Hence a function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

8 0
3 years ago
Which of the following is true of rounding the optimized solution of a linear program to an integer?
VashaNatasha [74]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

the optimized solution of a linear program to an integer as it does not affect the value of the objective function.

As if we round the optimized solution to the nearest integer, it does not change the objective function .

while it is not true that it always produces the most optimal integer solution or feasible solution.

Hence, Option 'c' is correct.

6 0
3 years ago
Find the value of (x + 1) in this equation.<br><br> 13(6x − 5) − x = 13 − 2(x + 1)
Mandarinka [93]

Answer: The value of x is 155/79.

Step-by-step explanation:

13(6x -5 )-x= 13 -2(x +1)

78x - 65- x = 13 -2x -2

77x -65 = 11-2x  

79x -65 =11

79x =76

x = 76/79    76/ 79 + 1/1  = 155/79

4 0
3 years ago
What is the explicit rule for this sequence?<br> -5, 15, – 45, 135, ...
hoa [83]

Answer:

Step-by-step explanation:

In a geometric sequence, consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

an = a1r^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the given sequence,

a1 = - 5

r = 15/- 5 = - 3

Therefore, the explicit rule for this sequence is

an = - 5(- 3)^n - 1

4 0
3 years ago
5x+3=9x+4, what numbers are the constants
8090 [49]

Answer:

3 and 4

Step-by-step explanation:

5 0
3 years ago
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