Jessica bought 2.25 yards more material than Derek. Hope this helped!
√3=1.7
2√3=3.4
√5=2.2
The order:
√3,2√3,√5
Start by defining variables (things you don't know). Let's make:
t = number of true/false questions
m = number of multiple choice questions
Equation #1
total questions on the test (given to be 20) is then:
t + m = 20
Equation #2
Multiply the number of questions by the points it's worth to get the total points
3t + 11m = 100
Now, you can use substitution to combine the two equations.
t + m = 20
by subtracting m from both sides, equation 1# becomes..
t = 20 - m
substitute t for 20 - m in the second equation.
3(20 - m) + 11m = 100
Solve for m.
3(20 - m) + 11m = 100
60 - 3m + 11m = 100
8m = 100 - 60
8m = 40
m = 5
There are 5 multiple choice questions on the test.
Now use this to find t.
t + m = 20
t + 5 = 20
t = 20 - 5
t = 15
there are 15 true/false questions on the test.
Payton drives 7 3/4
and Jessie drives 6 3/8
to find how much farther Payton drives subtract them
7 3/4 - 6 3/8
find the LCD or least common denominator in the fractions
3/4 = 6/8 so now you have
7 6/8 - 6 3/8
7-6 = 1
6/8 - 3/8 = 3/8
gives you 1 3/8 miles farther
Mary should make sure to choose a bank that is FDIC insured. Furthermore, if she has more than maximum deposit insurance amount to deposit, she should spread her deposits out among several separate banks. These should be totally different banks, not simply different branches of the same bank. The FDIC will insure up to the maximum deposit insurance amount at each bank, even if the bank fails.
