Let’s say we have x gallons of brand 1 antifreeze and y gallons of brand 2 antifreeze. We know we need a total of 140 gallons, so one equation to relate the variables would be x+y=140. We also know that our final mixture should have 60% antifreeze, so another equation would be the weighted average of the two brands: .55x+.80y140=.60. (The weighted average is basically multiplying each % (55 and 80) by the number of gallons you have (x and y
) and adding those together, and dividing that by the total number of gallons (140). This equals the % of the final mixture (60).)
Now we have a system of two equations that we can solve.
x+y=140
.55x+.80y140=.60
*rearrange first equation to solve for y
:
y=140−x
*substitute this value in for y
in the second equation:
.55x+.80(140−x)140=.60
*use algebra and solve for x
:
The algebra shouldn’t be too complex, and I’m hoping you’re asking this about the setup rather than the actual algebra, and I’m lazy, and I used a calculator to solve this, and this is probably a long run-on sentence, and I got x=112
.
*plug this in to first equation and solve for y
:
y=140−112=28
x=112,y=28
112 gallons of brand 1 antifreeze, 28 gallons of brand 2 antifreeze. That’s a whole lot of antifreeze.
thanx heyaaaaaa
Answer:
y = -x+2
Step-by-step explanation:
using the point slope form of a line
y-y1 = m(x-x1)
y-2 = -1(x-0)
y-2 = -x
add 2 to each side
y-2+2 =-x
y = -x+2
this is in slope intercept form
Answer:
After 3 years, Sue will get £2471.70 and Bill will get £1993.28.
Step-by-step explanation:
Amount at Compound Interest, 
Since interest is compounded everyday, period, k=365.
<u>Sue</u>
Amount Invested, P=£2300
Interest Rate Per annum (Saver Account) = 2.4%=0.024
Period, k=365 days
Number of Years, n=3 years
<u>Bill</u>
Amount Invested, P=£1800
Interest Rate Per annum (1234 Account ) = 3.4%=0.0034
Period, k=365 days
Number of Years, n=3 years
<u>After 3 years, Sue will get £2471.70 and Bill will get £1993.28.</u>
Answer:
x = 17.5
Step-by-step explanation:
5/8 = x/28
=> 5(28) = 8x
=> 140 = 8x
=> 8x = 140
=> x = 140/8
=> x = 70/4
=> x = 35/2
=> x = 17.5
<span>It would be 6 days because if you triple 4 that s 12 and 2 goes into 12, 6 times</span>
