Mei Mei finds some dimes and quarters in her change purse. How much money (in dollars) does she have if she has 7 dimes and 12 q
2 answers:
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Answer:
In a system, the substitution method is one of the 3 main ways to solve a system and can be very efficient at times.
<u>Skills needed: Systems, Algebra</u>
Step-by-step explanation:
1) Let's say we are given two equations below:
We can use substitution here by substituting in for in the second equation. This means we put in
for
in the 2nd equation so we only have
variables in the equation, allowing us to solve for
.
2) Solving it out:
We essentially substitute in that value as seen in step 1. Steps 2 and 3 are just simplifying the left side and allowing for us to solve. Step 4 is where we divide by -16 on both sides to solve for x. Step 5 and 6 show us solving for y using the value for x. We get
Answer:
1/14
Step-by-step explanation:
There is only 1 common multiple of 4 and 6 between 1 and 14.
So the probability is:
Let us say distance between Eugenia's home and school is x miles.
Speed of Eugenia when she walked from home to school = 3 mph
Speed of Eugenia when she walked from school to home = 7 mph
Total time taken = 45 minutes or 0.75 hours
We know that the speed distance formula is given by:
Time taken by Eugenia when she walked from home to school = x/3 hours
Time taken by Eugenia when she walked from school to home = x/7 hours
Total time taken = x/3+x/7
So forming an equation we have,
Taking lcd of 7 and 3 as 21,
10x=15.75
Dividing both sides by 10 , we have
x= 1.575
Answer: So we can say that the distance between Eugenia's house and school is 1.575 miles.