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3 years ago

The graph shows the number of paintballs a machine launches, y, in x seconds:

Mathematics

1 answer:

aalyn [17]3 years ago

5 0

The answer is B, 20 balls in 4 seconds. Or 5 balls per second.

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Oliver and Lenny started hiking a hill simultaneously from the bottom to the top. Oliver hiked at a speed of 5 km/h during the f

Papessa [141]

Answer:

Oliver and Lenny reached the top of the hill at the same time

The proportion of time Oliver spent hiking to that of Lenny is 1:1

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Oliver's speed = 5 km/h during the first half, then decreased his speed to 4 km/h during the second half.

Lenny's speed = 4 km/h during the first half, then increased his speed to 5 km/h in the second half.

2. Who reached the top of the hill first? What is the proportion of time he spent hiking to that of his friend?

Let's assume the distance from the bottom to the top of the hill is 10 kilometers for calculating the time it will take Oliver and Lenny to reach the top of the hill:

Speed = Distance/Time

Time = Distance/Speed

Oliver = Time of hiking first 5 km + Time of hiking second 5 km

Lenny = Time of hiking first 5 km + Time of hiking second 5 km

Oliver = 5/5 + 5/4

Oliver = 1 + 5/4 = 2 1/4 hours

Lenny = 5/4 + 5/5

Lenny = 5/4 + 1 = 2 1/4 hours

Oliver and Lenny reached the top of the hill at the same time

The proportion of time Oliver spent hiking to that of Lenny is 1:1

3 0

2 years ago

It says solve by factoring.

dsp73

Answer:

Alright well Graph each side of the equation. The solution is the x - value of the point of intersection k = 4.582 Hope this helps :)

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Mom has ⅘ quart of strawberries. She needs to fill ¼-quart jars. How many jars will she be able to fill?

Blababa [14]

She will be able to fill 3 jars because 4/5=16/20 and 1/4 = 5/20 so 5/20 x 3 = 15/20

5 0

3 years ago

Which system of inequalities has a solution set that is a line?

Korolek [52]

We're going to solve each of the systems to determine the solution.

System $1$

$x+y \geq 3\\ x+y \leq 3$

using a graph tool

the solution is the line $x+y=3$

see the attached figure N $1$

System $2$

$x+y \geq -3\\ x+y \leq 3$

using a graph tool

the solution is the shaded area

see the attached figure N $2$

System $3$

$x+y > 3\\ x+y < 3$

using a graph tool

The system has no solution

see the attached figure N $3$

System $4$

$x+y > -3\\ x+y < 3$

using a graph tool

the solution is the shaded area

see the attached figure N $4$

therefore

the answer is

System $1$ 

$x+y \geq 3\\ x+y \leq 3$

7 0

3 years ago

Read 2 more answers

What is the x-value in the solution to this system of linear equations?

ASHA 777 [7]

Answer:

Step-by-step explanation:

The y-variable can be eliminated by adding 3 times the first equation to the second:

3(2x -y) +(x +3y) = 3(11) +(-5)

7x = 28 . . . . simplify

x = 4 . . . . . . . divide by 7

_____

Using Cramer's Rule, you can also find the x-value. The math is not so different.

x = ((-1)(-5) -(3)(11))/(-1(1) -3(2)) = -28/-7 = 4

8 0

3 years ago