Answer:

Step-by-step explanation:

In order to simplify the above expressions we make sure that we get same powers of 10 for both the terms.
So, we multiply and divide the first term with 10
Dividing first term by 10.

Now multiplying it by 10.

Evaluating the new expressions.

Taking
common factor out.


Answer:
There were 2747 yes votes.
Step-by-step explanation:
This question can be solved using proportions.
The ratio of yes votes to no votes was 5 to 3 .
This means that for each 5 + 3 = 8 votes, 5 were yes and 3 were no.
If there were 4395 total votes, how many yes votes were there?
For each 8 votes, we have 5 yes. How many yes votes were there in 4395 votes?
5 yes - 8 votes
x yes - 4395 votes
8x = 4395*5
x = 4395*5/8
x = 2747
There were 2747 yes votes.
Answer:
A total of 18 gallons of more gas
Step-by-step explanation:
7 gallons = 210 miles
750-210= 540
210*2 =420 miles 7*2=14 gallons
210/2= 105 7/2=3.5 gallons
525 miles 17.5 miles
210/14= 15 7/14=.5 gallons
540 miles 18 gallons
X+y= 26 and 4.75x + 2.25y= 83.50
y=26-x( substitute this into second equation for y and solve for x)
4.75x + 2.25(26-x)= 83.50
4.75x + 58.5-2.25x= 83.50
x= 10
Now solve for y by substituting your answer for x
10+ y= 26
y=16
Therefore, 16 tickets were purchased for kids and 10 for adults.
Answer:
FALSE
Step-by-step explanation:
If y varies inversely as x., this is expressed as;
y = k/x
k is the proportionality constant
when y = 3 and x = 4
3 = k/4
k = 3 * 4
k = 12
when x = 15;
y = k/x
y =12/15
y = 4/5
Hence y is not equal to 12 when x = 15.
The correct answer is FALSE