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: x = -5/2 and x = -3/2
Step-by-step explanation:
(2x + 5)2 = 4x (x + 5) +25
4x + 10 = 4x² + 20x + 25
[minus 4x on both sides.]
10 = 4x² + 16x + 25
[minus 10 on both sides.]
0 = 4x² + 16x + 15
ac = 4(15) = 60,then find the factors that add up to 16, which is 6 and 10.
0 = 4x² + 6x + 10x + 15
0 = 2x(2x + 3) + 5(2x + 3)
0 = (2x + 5)(2x + 3)
2x + 5 = 0 2x + 3 = 0
2x = -5 2x = -3
x = -5/2 x = -3/2
Answer:
0.0816
Step-by-step explanation:
Given:
- Total number of students = 5000
- Number of students taking an online class = 1200
- Number of students prefer watching baseball to football = 1700
Let O = Students taking an online class
Let B = Students prefer watching baseball to football
Therefore,
P(O) = 1200/5000 = 0.24
P(B) = 1700/5000 = 0.34
If events O and B are independent,
⇒ P(O ∩ B) = P(O) · P(B)
= 0.24 × 0.34
= 0.0816
Harvey is 3 times as old as Jane."
<span>h = 3j </span>
<span>"The sum of their ages is 48 years." </span>
<span>h + j = 48 </span>
<span>substitution </span>
<span>(3j) + j = 48 </span>
<span>4j = 48 </span>
<span>j = 12 </span>
<span>h = 3j = 36</span>
