Answer:
All of these terms are dollar amounts.
Step-by-step explanation:
Here, x + y = 10 (where these numerals represent counts)
(1/2)x + (1/4)y = 4 (where (1/2), (1/4) and 4 are dollar amounts)
Let's eliminate y. To accomplish this, mult. the 2nd eq'n by-4, obtaining
-2x - y = -16, and then combining this with the 1st equation, as follows:
-2x - y = -16
x + y = 10
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-x = -6, or x = 6. This represents the number of pens purchased by Terrance.
Subbing 6 for x in the first equation, we get y = 4. This represents the number of pencils he bought.
($0.50)x + ($0.25)y = $4.00 (dollar amounts)
Well, first you must divide the amount of gallons by the amount of people.
2/9 = 2/9 gallons which would be about 3.5 cups.
(Personally I would do 2/9 cups)
Answer:
x = 1
y = -1
z = 2
Step-by-step explanation:
You have the following system of equations:
First, you can subtract euqation (3) to equation (1):
x + 2y - z = -3
<u>-x +y -z = - 4 </u>
0 3y -2z = -7 (4)
Next, you can multiply equation (3) by 2 and subtract it to equation (2):
2[ x -y + z = 4]
<u> -2x +y -z = -5</u>
0 -y + z= 3 (5)
You multiply equation (5) by 2 and sum (5) with (4):
2[ -y + z = 3]
<u> 3y -2z= -7</u>
y + 0 = -1
Then y = -1
Next, you replace y=-1 in (5) to obtain z:
-(-1) + z = 3
z = 2
Finally, you can replace z and y in the equation (3) to obtain x:
x - (-1) + (2) = 4
x = 1
For the answer to the question above, your end goal is to have $6,000 total in 12 months. since you have $2400 already you can subtract that from 6,000 leaving you with $3600 over the course of 12 months. since you already put $150 in a month over the course of 12 months you would have $1800 which is only half of the goal of $3600. in order for you to put in $3600, you would have to put an additional 150 in your savings along with your regular 150 making Letter B the answer.
Inverse variation means y=k/x (direct variation is y=kx) so we can use the info given to find the constant k
y=k/x
6=k/900
k=6(900)
k=5400 so the equation is:
y=5400/x or more accurately for this problem
t(v)=5400/v then:
t(800)=5400/800
t(800)=6.75 hours
