Ali's solution is incorrect.
Ali had to add both the terms and should get 10y answer, and not multiply both terms and get answer 9y^2 which is wrong.
Step-by-step explanation:
Ali simplifies the expression 9y+y to 9y2. We need to identify if Ali's solution is correct or incorrect.
Ali's solution is incorrect.
Reason:
We are given the expression: 9y+y
When we add two like terms ( terms having the same variable and exponent), we add the coefficients of both like terms.
In our case 9y+y = 10y
Whereas Ali has done multiplication of both terms and not addition.
In multiplication we add the exponents of the same variables i.e 9y+y = 9y^2
So, Ali had to add both the terms and should get 10y answer, and not multiply both terms and get answer 9y^2 which is wrong.
Keywords: Solving expressions
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There are 1,000 grams in a kilogram
Answer: -6
Step-by-step explanation:
-6
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
