Answer:
A .The expression 2l+2(3l+1) shows the width is 1 more than 3 times the length.
Step-by-step explanation:
p = 8l + 2
Length = l
Width:
2w = p - 2l
2w = (8l + 2) - 2l
2w = 6l + 2
w = 3l + 1
Therefor w is 3 times the length plus 1
Answer:
There are 40 problems on the test
Step-by-step explanation:
Let p = the number of problems on the test
The number of problems on the test times the percent correct is the number correct
p * 85% = 34
p * .85 = 34
Divide each side by .85
p * .85/.85 = 34/.85
p = 40
There are 40 problems on the test
Answer:
15 times
Step-by-step explanation:
If he bats 50 times, he will be expected to reach first base "30% of the time".
We simply need to find "what is 30% of 50?"
We first need to convert the percentage (30%) to decimal and then multiply that with 50 to get our answer.
Converting percentage to decimal is very simple! We divide by 100. That's it!
So, we have:
30% = 30/100 = 0.3
Now we do the multiplication:
0.3 * 50 = 15
So, the player would reach first base 15 times (out of 50 times of batting)
Answer:
7.
Step-by-step explanation:
21 = 3 * 7
28 = 2 * 2 * 7
42 = 2 * 3 * 7
Collecting common factors:
t is common to all 3 sets of factors so
HCF = 7.
Speed = Distance / Time
Distance = Speed*Time
For this problem, we should bear in mind that current speed has an impact on the boat speed...
for upstream, the boat goes against the current, and so its speed is
U = V - C
where V is the speed of the boat
C is the current speed
for downstream, it will be:
D = V + C
Convert the problem into mathematical equations:
4D + 3U = 116
3D + 4U = 108
4(V+C) + 3(V-C) = 116
4V + 4C + 3V -3C =116
7V + C = 116
3(V+C) + 4(V-C) = 108
3V + 3C + 4V - 4C = 108
7V - C = 108
Solving the equations:
7V + C = 116
7V - C = 108
14V = 224
V = 16km/hr —-> speed of boat
to get C:
7(16) + C = 116
C = 4km/hr
