The First Answer is 0.4 and the second answer is 0.75.
First, we need to calculate the cost of the sale tax. To do it, we are going to convert the sale tax from percentage to fraction by dividing it by 100, and then we are going to multiply the cost of the DVD by the sale tax:
Now, we can multiply the cost of the DVD by the sale tax to find the cost of the sale tax:
Now that we know that the sale tax is $1.26, we are going to add the cost of the sale tax to the cost of the DVD and check if that sum is less or equal than Torri's money (20$):
Since $19.26
$20, we can conclude that Torri has enough money to buy the DVD. In fact, Torri will end with a change of $0.74 after buying the DVD.
Answer: 20 oz of juice concentrate and 60 oz of water.
Explanation:
Translate the word statements into algebraic expressions to set a system of equations that you can solve.
1) Name the variables:
- j: parts of juice concentrate
- w: parts of water
2) Statement one, 2 parts juice concentrate to 6 parts water, translates into a proportion:
j / w = 2 / 6
3) Statement two, 80 oz of the drink, tanslates into an equality:
j + w = 80
4) Solve the system to find how many oz of juice concentrate and water Elena needs:
a) System:
j / w = 2 / 6
j + w = 80
b) Solve for w in the first equation: w = 6j / 2 = 3j
c) Substitute w in the second equation: j + 3j = 80
d) Combine like terms: 4j = 80
e) Use division property of equality: j = 20
f) Substitue in w = 3j: 3 = 3(20) = 60.
5) Solution: j = 20, w = 60.
6) Verify:
- j / w = 20 / 60 = 2 / 6 ⇒ right
- j + w = 20 + 60 = 80 ⇒ right
Answer:
x=7.5
Step-by-step explanation:
Let's solve your equation step-by-step.
3(x+4.5)=36
Step 1: Simplify both sides of the equation.
3(x+4.5)=36
(3)(x)+(3)(4.5)=36(Distribute)
3x+13.5=36
Step 2: Subtract 13.5 from both sides.
3x+13.5−13.5=36−13.5
3x=22.5
Step 3: Divide both sides by 3.
3x/3=22.5/3
x=7.5
Answer:
x=7.5
Answer:
Range { 1000,1100,1200,1300,1400,1500,1600}
Step-by-step explanation:
The range of the function is the output, so it would be the values of the pay per month
Range { 1000,1100,1200,1300,1400,1500,1600}
