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arlik [135]
3 years ago
8

Can anyone just explain how to do a distant rate time problems because I'm confused about them

Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0

Answer:

The formula for distance problems is: distance = rate × time or d = r × t. Things to watch out for: Make sure that you change the units when necessary. For example, if the rate is given in miles per hour and the time is given in minutes then change the units appropriately.

Step-by-step explanation:

Here is an example.

Two cars started from the same point, at 5 am, traveling in opposite directions at 40 and 50 mph respectively. At what time will they be 450 miles apart?

After t hours the distances D1 and D2, in miles per hour, travelled by the two cars are given by

D1 = 40 t and D2 = 50 t

After t hours the distance D separating the two cars is given by

D = D1 + D2 = 40 t + 50 t = 90 t

Distance D will be equal to 450 miles when

D = 90 t = 450 miles

To find the time t for D to be 450 miles, solve the above equation for t to obtain

t = 5 hours.

5 am + 5 hours = 10 am

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What equation represents the proportional relationship displayed in the table?
KATRIN_1 [288]

Answer:

y=6x

Step-by-step explanation:

Given:

The table is given as:

x   0    4       7       8

y   0    24    42     48

The relationship between 'x' and 'y' is a proportional relationship.

A proportional relationship is one in which one variable varies directly with the other by a factor of 'k' also known as constant of proportionality and k\ne 0

A proportional relationship is given as:

y=kx

Now, we plug in 'x' and 'y' values and find the value of 'k'.

Let x=4\ and\ y=24

24=k\times 4\\\\k=\frac{24}{4}=6

Therefore, the constant of proportionality is 6. Hence the complete equation is given as:

y=6x

3 0
3 years ago
Reduce 12/20 to lowest term
skelet666 [1.2K]

Answer:

3/5

Step-by-step explanation:

12/20

(divide both by 2)

12/2= 6

20/2=10

6/10

(divide by both by 2)

6/2= 3

10/2= 5

3/5

7 0
3 years ago
Heather can complete two problems in ten minutes, and when she started she had three problems done. Joel can complete three prob
Hunter-Best [27]
If Heather can do 2 in 10 minutes, then that means that she can do 12 in 1 hour. If Joel can do 3 in 15 minutes, then it means that he can do 12 in 1 hour. Add the number of problems they can do total and that will go between 30 and 50. It is just "less than", not "less than or equal to" because you want to know when the total number goes between the numbers.
Therefore, the correct answer must be <span>30 < 24x + 5 < 50.</span>
3 0
3 years ago
9n+21−3n−24 simplify
Thepotemich [5.8K]
Alright First you combine the like terms. 
9n - 3n = 6n 
21 - 24 = -3 

Rewrite the simplified equation
6n - 3 = 0

Solve for n 
6n = 3 
n = 3/6 
n = 1/2 

Ask if you need more help! :)

6 0
3 years ago
What is 75% of 162? Show your work and/or explain your reasoning.
zhannawk [14.2K]

Answer:

121.5

Step-by-step explanation:

75% =  75/100

Step 2 - Mutiply percenatge fraction by the entire (100%) quantity

75/100× 162 = 121.5

Final result

75 percent of 162 is 121.5

3 0
2 years ago
Read 2 more answers
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