Answer:
Step-by-step explanation:
Step 1: Sum of angles on a straight line is 180
Step 2:
2x + 25 + y = 180
2x + y = 180 - 25
2x + y = 155 (1)
Step 3:
3x - 10 + y = 180
3x + y = 180 + 10
3x + y = 190 (2)
Step 4: Substract equation 1 from 2
3x + y - 2x - y = 190 - 155
x = 35
Step 5:
Substitute x in equation 1 to find y
2x + y = 55
2(35) + y = 155
70 + y = 155
y = 155 - 70
y = 85
.020 because it is 2 spots behind the decimal
Answer:
Jogging 6th time.
Step-by-step explanation:
We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.
We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.
We know that an arithmetic sequence is in form
, where,
= nth term of sequence,
= 1st term of sequence,
n = Number of terms in sequence,
d = Common difference.
Let us find common difference of our given sequence as:

Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.

Let us solve for n.





We can also write next terms of our sequence as:

Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.
Answer:
After 5 hours, the amount of bacteria increased: 7800-6000=1800
After 1 hours, the amount of bacteria increased: 1800/5=360
After 18 hours, the amount of bacteria increased: 360*18 = 6480
=> Total amount of bacteria after 13 hours: 6000+6480 =12480