-43 - 4r = 3(1

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

Vilka [71]

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

4 0

3 years ago

Ashley completed reading a history assignment in 4 days.On Monday,she read 16 page.For each of the next 3 days,the number of pag

prisoha [69]

Monday = 16 pages

Tuesday = 16 + (50% of 16) = 16 + (0.5 x16) = 24 pages

Wednesday = 24 + (50% of 24) = 24 + (0.5 x 24) = 36 pages

Thursday = 36 + (50% of 36) = 24 + (0.5 x 36) = 54 pages.

Total pages = 16 + 24 + 36 + 54 = 130 pages

Pages Greg read per day = 130 ÷ 5 = 26

Answer: Greg read 26 pages per day.

7 0

3 years ago

if a point on the graph of a proportional relationship is located at 3,4, can you determine the constant of proportionality? exp

Mashutka [201]

The answer is: No, because we also need to know the type of proportionality

In mathematics, we talk about proportionality when two variables are related and this relationship is that there is a constant ratio between them. There are two types of proportionality.

1. Direct Proportionality:

If there are two variables x and y, we can write the relationship between them as follows:

$y=kx$

So, by substituting the point in this equation we have that the constant of proportionality is:

$4=k(3) \\ \\ \therefore \boxed{k=\frac{4}{3}}$

2. Inverse Proportionality:

In this case, the relationship is:

$y=\frac{k}{x}$

So, the constant of proportionality is:

$4=\frac{k}{3} \\ \\ \therefore \boxed{k=12}$

As you can see, we have found two different values of the constant of proportionality. So, it is necessary to know the type of proportionality.

7 0

3 years ago

Tickets for a school football game cost 1.00 if purchased before the day of the game. They cost 1.50. They cost 1.50 each if bou

cluponka [151]

Answer:

Let x = number of gate tickets, ($1.50)

:

Since there were 600 tickets sold, let (600-x) = the $1 tickets

:

1.50 tickets + $1 tickets = $700

:

1.5x + 1(600 - x) = 700

1.5x - x = 700 - 600

.5x = 100

x = 100/.5

x = 200 ea 1.50 tickets sold at the gate

;

Check: there were 600 - 200 = 400 ea $1 tickets sold

1.50(200) + 1(400) = $700

6 0

3 years ago

Which set of side lengths forms a right triangle?

Valentin [98]

15, 36, and 39 ‎ ‎ ‎ ‎

5 0

2 years ago

-43 - 4r = 3(1 - 9r)