Answer:
The answer to your question is
Part A. Archimedes grades 6 1/4 tests per day
Part B. 8 19/32 days
Part C. 6 26/29 days
Step-by-step explanation:
Part A
Total time = 6 2/5 days
Number of tests = 40 tests
Process
1.- Convert the mixed fraction to improper fraction
6 2/5 = (30 + 2) / 5 = 32/5
2.- Divide 40 by 32/5
40/1 / 32/5 = (40 x 5) / (32 x 1)
= 200 / 32
Simplify
100 / 16 = 50/8 = 25/4
3.- Convert 25/4 to mixed fractions
6
4 25
1
25/4 = 6 1/4
Archimedes grade 6 1/4 tests per day
Part B
15 more tests
Total time = 32/5
Total tests = 40 + 15 = 55
Process
1.- Divide 55 by 32/5
55 / 1 / 32 /5 = (55 x 5) / (32 x 1)
= 275 / 32
2.- Convert 275/32 to a mixed fraction
8
32 275
256
19
Result 8 19/32 days
Part C
1.- Divide 55 by 7.25
50 / 7.25 = 5000 / 725
6
725 5000
- 4350
650
Result 6 650/750 = 6 26/29
Answer:
2.4274
Step-by-step explanation:
This is just a simple multiplication problem.
One way to do this is by converting both decimals into fractions:
1.06 = 1 + 0.06 = 1 + 6/100 = 1 + 3/50 = 53/50
2.29 = 2 + 0.29 = 2 + 29/100 = 229/100
Multiplying these two fractions, we get:
Now, we can just convert this into a decimal by using a calculator:
12137/5000 = 2.4274, which is our answer.
Of course, you could just put the numbers in a calculator, which would be much less time-consuming.
Step-by-step explanation:
This is a probability related question, let the event be E
We know that the likelihood of an event happening is given as
Pr(E)=1
if an event will not occur the probability is
Pr(E)=0
a. This event is impossible: Pr(E)=0
b.This event will occur more often than not, but is not extremely likely:
Pr(E)=0<E>0.5
c.This event is extremely unlikely, but it will occur once in a while in a long sequence of trials:
Pr(E)=0<E<0.5
d.This event will occur for sure: Pr(E)=0
Answer:
D
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
AB = 3x + 4 and AC which is twice of AB is equal to 11x - 17
2 (3x + 4) = 11x - 17
6x + 8 = 11x - 17
8 + 17 = 11x - 6x
25 = 5x
5 = x
AC = CD = 11x - 17 ➡ 11×5 - 17 = 38
CD = 38 and DE = 49 - 38 = 11
