So, what I usually do is draw a division box, put the numerator (4.4) in and the denominator out and then do a normal division. <span />
Answer:
Step-by-step explanation:
angle A = angle B (because they are alternate exterior angles)
8x+6=4x+38
8x-4x=38-6
4x=32
x=32/4
x=8
For angle A
8x+6
8*8+6
64+6
70
For angle B
4x+38
4*8+38
32+38
70
Answer: it will take 2.5 hours for both people to meet after person B leaves.
Step-by-step explanation:
The distance between the house of person A and his cousin's house is 234 miles.
At the point where they meet, they would have travelled 234 miles.
Person A travelled at an average speed of 44 miles per hour.
Let t represent the time spent by Person A in travelling from his house to the point where they meet.
Distance = speed × time
Distance covered by person A would be
44 × t = 44t
One and half hours later, person B leaves his house to visit person A, travelling at an average speed of 62 miles per hour. This means that total time spent by person B in travelling to the point where they meet is (t - 0.5) hours. Distance covered would be
62(t - 0.5) = 62t - 31
Since the total distance covered is 234 miles, then
44t + 62t - 31 = 234
106t = 234 + 31 = 265
t = 265/106 = 2.5 hours
Let d = number of dimes, q = number of quarters
<span>Sally has 20 coins in her piggy bank, so </span>
<span>d + q = 20 </span>
<span>The total amount of money is $3.05. </span>
<span>Use the value of each coin multiplied by its number to get total value </span>
<span>.10d + .25q = 3.05 </span>
<span>multiply everything by 100 to clear the decimal places </span>
<span>10d + 25q = 305 and </span>
<span>d + q = 20 </span>
<span>solve the second equation above in terms of either d or q - lets do d </span>
<span>d = 20 - q </span>
<span>sub that into the first equation </span>
<span>10d + 25q = 305 </span>
<span>10(20 - q) + 25q = 305 </span>
<span>200 - 10q + 25q = 305 </span>
<span>15q = 105 </span>
<span>q = 105/15 = 7 </span>
<span>and from above </span>
<span>d = 20 - q = 20 - 7 = 13 </span>
<span>so, there are 13 dimes and 7 quarters </span>
<span>verify with orig problem </span>
<span>13 + 7 = 20, OK, and $1.30 + $1.75 = $3.05
</span>
Answer:
approximately 1 to 7.674 billion people
Step-by-step explanation:
cause theres 7.674 billion peepsin the world
