Answer:
10 7/12 hours
Step-by-step explanation:
so we have to multiply 2 2/3 twice since he does that many hours for 2 days. We then have to multiply 1 3/4 three times since he does that many hours for 3 days. Lets first convert 2 2/3 into a mixed fraction. 2 2/3 = 3 times 2 =6 +2=8 over 3. 1 3/4=4 times 1=4+3=7 over 4. 8/3 times 2 equals 16/3 which eqials
5 1/3 hours. 7/4 times 3 equals to 21/4 which equals to 5 1/4. Lets now add
5 1/3 and 5 1/4. 5+5=10 but the fractions are not the same. Therefore, we need to make it to a common denominator. 4 times 3 equals to 12 so 4/12 plus 3/12 equals 7/12. Final answer equals to 10 7/12.
If it's adding to the 4,900 in the bank just add the numbers to 4,900.
After 4 years. 1,176.
Year 1: 294
Year 2: 588
Year 3: 882
Year 4: 1176
Year 5: 1470
Year 6: 1764
Let the slower runners speed be X kilometers per hour.
Then the faster runners speed would be X+2 kilometers per hour.
The formula for distance is Speed times time.
The distance is given as 30 kilometers and time is given as 3 hours.
Since there are two runners you need to add the both of them together.
The equation becomes 30 = 3x + 3(x+2)
Now solve for x:
30 = 3x + 3(x+2)
Simplify:
30 = 3x + 3x +6
30 = 6x + 6
Subtract 6 from each side:
24 = 6x
Divide both sides by 6:
x = 24/6
x = 4
The slower runner ran at 4 kilometers per hour.
The faster runner ran at 4+2 = 6 kilometers per hour.
Answer:
(p, q) is (2, 5)
Step-by-step explanation:
Given the expression
x^2 + 3x - 10
Factorize;
x^2 + 5x - 2x - 10
x(x+5) - 2(x+5)
(x-2)(x+5)
Comparing with (x + p)(x + 9).
x+2 = x+ p
x-x+2 = p
2 = p
p = 2
Similarly;
x+5 = x+q
x-x+5 = q
5 = q
q= 5
Hence (p, q) is (2, 5)
