The time Carlos spend practicing his multiplication facts in fraction is 5/16 hours.
<h3>Fraction</h3>
- Time Carlos spent doing his math homework = 1 1/4 hours
Time spent practicing his multiplication facts = 1/4 of 1 1/4 hours
= 1/4 × 1 1/4
= 1/4 × 5/4
= (1 × 5) / (4 × 4)
= 5/16 hours
Therefore, the time Carlos spend practicing his multiplication facts is 5/16 hours.
Complete question:
Carlos spent 1 1/4 hours doing his math home work. He spent 1/4 of this time practicing his multiplication facts.
How many hours did Carlos spend practicing his multiplication facts?
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Answer:
make it into y=mx+b form
Step-by-step explanation:
So.. traveling without the wind, let's say the pedalist has a speed of "r"
with the wind, the wind's rate is added to it, so, he's not going "r" fast, he's really going r+3 fast
against the wind, he's going r - 3 fast
notice, he covers 30 miles with it, and 18 miles against BUT the time for both ways is the same, say time "t"
now, recall your d = rt, distance = rate * time
thus
![\bf \begin{array}{lccclll} &distance(mi)&rate(mph)&time\\ &-----&-----&-----\\ \textit{with the wind}&30&r+3&t\\ \textit{against the wind}&18&r-3&t \end{array}\\\\ -----------------------------\\\\ \begin{cases} 30=(r+3)t\implies \frac{30}{r+3}=t\\\\ 18=(r-3)t\implies \frac{18}{r-3}=t \end{cases}\implies t=t\implies \cfrac{30}{r+3}=\cfrac{18}{r-3}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Blccclll%7D%0A%26distance%28mi%29%26rate%28mph%29%26time%5C%5C%0A%26-----%26-----%26-----%5C%5C%0A%5Ctextit%7Bwith%20the%20wind%7D%2630%26r%2B3%26t%5C%5C%0A%5Ctextit%7Bagainst%20the%20wind%7D%2618%26r-3%26t%0A%5Cend%7Barray%7D%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0A%0A%5Cbegin%7Bcases%7D%0A30%3D%28r%2B3%29t%5Cimplies%20%5Cfrac%7B30%7D%7Br%2B3%7D%3Dt%5C%5C%5C%5C%0A18%3D%28r-3%29t%5Cimplies%20%5Cfrac%7B18%7D%7Br-3%7D%3Dt%0A%5Cend%7Bcases%7D%5Cimplies%20t%3Dt%5Cimplies%20%5Ccfrac%7B30%7D%7Br%2B3%7D%3D%5Ccfrac%7B18%7D%7Br-3%7D)
solve for "r"
Answer:
25 pounds.
Step-by-step explanation:
1 kg = 2.2 pounds
11.5 kg = x pounds Cross Multiply
1 * x = 11.5 * 2.2
Since you are estimating the question, you don't use a calculator. So 11.5 * 2
23 pounds. 11.5 * 0.2 = 2.3 pounds
Total = 23 + 2.3 = 25.3
So the total is more than 25 but way less than 30
You can make the question a bit more formal by noticing what I did was related to the distributive property.
11.5 ( 2 + 0.2) Remove the brackets.
11.5 * 2 + 0.2*11.5 Which gives you exactly the same thing as above.
Answer:
92.5 square inches
Step-by-step explanation:
Area of square:
10 * 10 = 100 square inches
Area of right triangle:
(1/2) * 5 * 3 = 7.5 square inches
Area of figure:
100 - 7.5 = 92.5 square inches