Answer:
y=(x+13)/3
Step-by-step explanation:
the question is not quite clear, i think u mean y= -3x + 4
then, the slope of the line perpendicular to the given line is m1.m2= -1, hence, -3.m2= -1 m2 = 1/3
y-5=1/3(x-2) y=x/3+13/3 or y=(x+13)/3
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:
40 bottles of juice
60 bottles of water
Step-by-step explanation:
let w represent water, let j represent juice. set up a system of equations:
w+2j=140
w+j=100
isolate the w by itself on the bottom equation:
w=100-j
solve the top equation by substitution, substituting 100-j for w:
w+2j=140
100-j+2j=140
100+j=140
j=40
this means that they bought 40 bottles of juice.
to find the amount of bottles of water the bought, substitute 40 for j in either of the equations (i did it in the bottom one, because it's easier):
w=100-j
w=100-40
w=60
so, they bought 60 bottles of water.
Answer:
Convert 8 1/2 to 8.5 and 6 3/10 to 6.3, and then multiply 8.5 by 6.3. Answer:
53.55, or, if you reduce 55/100, 53 11/20.
Step-by-step explanation:
