Malik collects rare stamps and has a total of 212 stamps. Solve the system of equations.

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

6 0

Using the two given equations:

x - y = 34

x +y = 212

Rewrite the first one in terms of x:

x = 34 + y

Now replace x in the 2nd equation:

34 + y + y = 212

Simplify:

34 +2y = 212

Subtract 34 from both sides:

2y = 178

Divide both sides by 2:

y = 178/2

y = 89

Now replace y in an equation to solve for x:

x + 89 = 212

x = 212-89

x = 123

He has 123 domestic stamps and 89 foreign stamps.

BlackZzzverrR [31]3 years ago

4 0

Answer:

89 123

Step-by-step explanation:

Was correct

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Today joelle walked at a rate of 3 miles per hour and she ran 15 minutes at a rate of 6 miles per hour.How many total miles did

svetoff [14.1K]

I added a screenshot with the complete question

Answer:
Total miles = 2.5 miles

Explanation:
1- While walking:
We are given that Joelle walked 20 minutes at a rate of 3 miles per hour.
This means that she walked $\frac{20}{60} = \frac{1}{3}$ of an hour at a rate of 3 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
Substitute with the givens to get the distance she covered while walking:
Distance = 3 * $\frac{1}{3}$ = 1 mile

2- While running:
We are given that Joelle ran 15 minutes at a rate of 6 miles per hour
This means that she ran $\frac{15}{60} = \frac{1}{4}$ of an hour at a rate of 6 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
Substitute with the givens to get the distance she covered while running:
Distance = 6 * $\frac{1}{4}$ = 1.5 miles

3- getting the total mileage:
Total distance she covered = distance while walking + distance while running
Total distance she covered = 1 + 1.5
Total distance she covered = 2.5 miles

Hope this helps :)