Find the greatest common factor. In this case it is 3. Divide each group by 3.
15÷3=5 quarters
30÷3=10 dimes
48÷3=16 nickels
Next count them by the coin's value:
5 × 0.25 = $1.25
10 × 0.10 = $1
16 × 0.05 = $0.80
Add them up:
= $3.05 in each group and there are three groups.
So, the greatest number of groups that he can make is 3; there will be 5 quarters, 10 dimes, and 16 nickels in each group, which is worth $3.05 in each group.
The second one is correct. 66/300 = x/100
Answer:
It takes the second worker 11 hours to do the job alone
Step-by-step explanation:
The problem tells you how to work it.
x = 11 tells you the second worker takes 11 hours to do the job alone.
_____
You can also work directly with the fractions. Subtract 1/11 and you have ...
1/x = 1/11
It should not be a real stretch to see that x=11. If you need, you can multiply both sides by 11x to get 11=x.
A critical value is the point on the scale of the
test statistic (z test in this case) outside which we reject the null
hypothesis, and is taken from the level of significance of the test. The critical
values can be obtained from the standard distribution tables for z and for this
case, it is equivalent to:
critical value zα/2 at 98% confidence level = 2.326
Answer: 2.326
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Answer:
Step-by-step explanation:
9
1. ∠ACB ≅∠ECD ; vertical angles are congruent (A)
2. C is midpoint of AE ; given
3. AC ≅CE; midpoint divides the line segment in 2 congruent segments (S)
4.AB║DE; given
5. ∠A≅∠E; alternate interior angles are congruent (A)
6. ΔABC≅ΔEDC; Angle-Side-Angle congruency theorem
10
1. YX≅ZX; given (S)
2. WX bisects ∠YXZ; given
3. ∠YXW≅∠ZXW; definition of angle bisectors (A)
4. WX ≅WX; reflexive propriety(S)
5. ΔWYX≅ΔWZX; Side-Angle-Side theorem
