Answer:
-5x^2 +14x +24
Step-by-step explanation:
(x-4)(-5x - 6)
FOIL
first : x*-5x = -5x^2
outer : -6x
inner: -4*-5x = 20x
last: -4*-6 = 24
Add them together
-5x^2 -6x+20x +24
-5x^2 +14x +24
Since 20 total gallons are needed, the amount of 10% solutions can be x and the amount of 20% solutions can be (20-x) since they add up to 20. In addition, the 17% solution has 20 gallons. Putting this into an equation, we get that 10% is 0.1 (by moving the decimal 2 spots to the left) , 0.2=20%, and 0.17=17%. With that information, we can determine that 10%*x+20%*(20-x)=20*0.17 due to that with 20 gallons of the 27% solution, we need a certain amount of solution. For every gallon, we add 0.17 of the solution, so we have 20*0.17. Similarly, we want that total amount to be represented by the amount of 20% + the amount of 10%.
0.1x+0.2(20-x)=0.1x+4-0.2x=-0.1x+4 using the distributive property
-0.1x+4=20*0.17=3.4. Subtract 4 from both sides to get -0.1x=-0.6, and multiply both sides by -10 (to separate x) to get x=6. Therefore, the amount of 10% solution is 6 gallons and the amount of 20% solution is 20-5=14 gallons
Jasmine + ron =alicia + barry
Ron collects 3jasmine+10 more than jasmine
barry collects 2 jamsine
alicia collects 10 barry = 20 jasmine
4jasmine+10=22 jasmine
10=18 jasmine
jasmine = 1.8
ron =15.4
alicia=32
barry=3.2
<h3><u>
The value of y is 1.6</u></h3><h3><u>
The value of x is 4.5</u></h3>
By elimination:
2x + 5y = 17
6x - 5y = 19
<em><u>We can add the second equation to the first in order to isolate one variable.</u></em>
(2x + 5y) + (6x - 5y)
8x = 17
<em><u>Because we added the left side, we have to add the right side here as well.</u></em>
17 + 19 = 36
8x = 36
<em><u>Divide both sides by 8</u></em>
x = 4.5
We can plug this value back into the original equation to find the value of y.
2(4.5) + 5y = 17
9 + 5y = 17
<em><u>Subtract 9 from both sides.</u></em>
5y = 8
<em><u>Divide both sides by 5.</u></em>
y = 1.6
