Answer:
Peanuts cost $2 a bag
Almonds cost $2.50 a bag
Step-by-step explanation:
To solve, write a system of equations using the information given.
- "a small case contains 10 bags of almonds and 25 bags of peanuts for $75" translates to 10a+25p=75
- "a large case comtains 40 bags of almonds and 60 bags of peanuts for $220" translates to 40a+60p=220
Solve by stacking the equations and performing elimination. To eliminate a variable, the coefficients must be the same. To make this so, we will multiply 10a+25p=75 by 4 to become 40a+100p=300. Now stack the equations and subtract:
40a+100p=300
40a+60p=220
----------------------------
0a + 40p=80
p=2 means peanuts cost $2 a bag.
Substitute p=2 into one equation to find a.
10a+25(2)=75
10a+50=75
10a=25
a=2.5 means almonds cost $2.50 a bag.
Answer: x=205
Is it not 205? because when you put the numbers in calculator it shows up 205 so I believe that is your answer.
Answer:
Step-by-step explanation:
Let's start by finding Sandra's salary this year.
We are given that she saved $3,360 or 8% of her total salary this year.
Let's represent her total salary this year as "x" and set up an equation:
Note that any percentage is equivalent to that number over 100.
Multiply 100 to both sides:
Divide both sides by 8
The question states "this year her salary was $2000 more than in the previous year".
This means that her salary in the previous year is equivalent to:
Radical Equation:
1. Isolate the radical expression.
2. Square both sides of the equation: If x = y then x2 = y2.
3. Once the radical is removed, solve for the unknown.
4. Check all answers.
Another way of saying it:
1. Isolate the radical expression involving the variable. ...
2. Raise both sides of the equation to the index of the radical.
3. If there is still a radical equation, repeat steps 1 and 2; otherwise, solve the resulting equation and check the answer in the original equation.
Answer:
0.3(8.2 x 10^-3) = 2.46 X 10 ^ -3
Step-by-step explanation:
We need to solve the equation 0.3(8.2 x 10^-3) and write answer in scientific notation.
Solving,
= 0.3(8.2 x 10^-3)
= 0.3 * 0.0082
= 0.00246
Writing in scientific notation
= 2.46 X 10 ^ -3
So, after solving the expression 0.3(8.2 x 10^-3) the result is 2.46 X 10 ^ -3.