Answer: Jack has $42
Step-by-step explanation:
Let be "j" the amount of money in dollars that Jack has, "w" the amount of money in dollars that Walker has and "t" the amount of money in dollars that Trust has.
You know that they have $100 altogether, then you can write the following equation:
[Equation 1]
Jack has $20 more than Walker, then:
[Equation 2]
And Trust has $14 more than walker, then you can write this equation:
[Equation 3]
Substitute the Equation 2 and the Equation 2 into the first one:
Now, solve fo "w":
Finally, substiute the value of "w" into the Equation 2 and evaluate:
Since Lydia studied for 5 days
Then it will be 5*15=75 minutes in 5 days
Answer:
58°
Step-by-step explanation:
If m AM=125°, then m∠AOM=125°.
If m∠MAF=75°, then m∠MOF=150° (because central angle MOF subtends on the same arc as inscribed angle MAF).
Thus,
m∠FOA=360°-150°-125°=85°.
If mEF=31°, then m∠EOF=31° (as central angle subtended on the arc EF).
Hence,
m∠EOA=m∠EOF+m∠FOA=31°+85°=116°.
Angle EOA is central angle subtended on arc EA, angle AME is inscribed angle subtended on arc AE, thus
m∠AME=1/2m∠EOA=58°.
Answer:
4'9"
Method 1:
First, convert both numbers into inches. Remember that 1' = 12", and the rest is like a remainder.
7'5" = (7*12)+5 = 84+5 = 89
2'8" = (2*12)+8 = 24+8 = 32
Next, subtract the two numbers.
89 - 32 = ?
89 - 32 = 57
There's your answer! You can change it back into feet by dividing it by 12.
57 / 12 = 4.75 = 4'9"
Method 2:
Another way of solving this problem is to borrow from the "feet" place.
7'5" - 2'8"
You can't take 8 away from 5, so you borrow from the "feet" place. Remember that unlike normal borrowing, you need to add 12 instead of adding 10.
6'17" - 2'8" = 4'9"
Whichever method you choose, you should get the same answer!
