Answer:
Distributive property means to multiply the number outside the parentheses to the numbers & variables inside the parentheses.
-5(-6y+4x-5)
= 30y-20x+25
Easy. Okay. We are trying to find out how much of the pizza they both ate together. To do this we need a common denominator. A common denominator of 3/4 and 1/8 are 8. We don't need to convert 1/8 because it already has 8 as the denominator. So we convert 3/4 into a fraction that has a fraction with a denominator of 8. We multiply both the numerator and denominator by 2 which means 3/4 is equal to 6/8. Now all we have to do is 6/8 + 1/8 which we get 7/8. So the answer is 7/8. I hope this helps.
Answer:
<em>It will occur zero times between midnight and one o'clock.</em>
Step-by-step explanation:
<u>Least Common Multiple (LCM)</u>
Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.
All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.
List the prime factors of each number:
20: 2,2,5
15: 3,5
27: 3,3,3
Now multiply all the factors the maximum number of times they appear:
LCM=2*2*3*3*3*5=540
(a) All the events will happen together again after 540 minutes.
(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.
Divide the shape into two parts, square triangle, the square is easy 2x2=4. The second part you know the length is 2 as 4-2=2, and because it is half of a square, it will be half of the area, so total answer is 6
Answer:
I could be wrong, but I think it's D
