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:
a = - 3, b = 5
Step-by-step explanation:
To rationalise the denominator multiply the numerator/ denominator by 
= 
= 
= 
= 5
- 3
= - 3 + 5
← in the form a + b
with a = - 3 and b = 5
Answer:
482.7972
Step-by-step explanation:
Answer:
it might be y = -3
Step-by-step explanation:
cause y=5 is just a line. do u know the slope?
Answer:
1.1-5.4=4.3
Step-by-step explanation:
because the total is 5.4 and the turtle was 1.1 up so subtract to see how much the turtle sank to the Bottom