Answer:
The correct answer is option A.
Step-by-step explanation:
Let's start by analyzing the information we have.
We know that Carmen pays 5% tax on everything she buys, and has made a purchase of $ 70.
But they also tell us that there is $ 25 of that purchase that will not be charged with taxes.
Therefore, what will be charged with taxes will be:
70-25 = 45
Now we must know how much is 5% of 45 and that we can find out by multiplying 45 by 0,05:
45.0,05 = 2,25
Now that we know that the tax was 2.25, we just have to add it to the total purchase to find out how much Carmen paid:
2.25 + 70 = 72.25
Therefore, the total value of the purchase is 72.25.
Okay, well we start out with the equation P=66, where P is perimeter. You should create equations using variables to explain each piece of information you are given. Follow the equations below and see if you can understand how to do another one like this. In this problem, l is length and w is width.
P = 66 The perimeter is equal to 66
l = 3 + w The length of one side is 3 more than the width
2l + 2w = 66 A rectangle's perimeter is calculated by adding the lengths and widths
2(3 + w) + 2w = 66 Use what you know about length from step 2 to replace the variable in step 3
6 + 2w + 2w = 66 Multiply
6 + 4w = 66 Add like terms
4w = 60 Subtract
w = 15 Divide
l = 3 + w Remember step 2?
l = 3 + 15 Replace the variable using your value for w
l = 18 Add
And you're done! Always check your work. It helps to create a picture of a rectangle while you're doing these problems as well. As you get used to these problems more and more, you can show more or less work than I've shown, but try to stay true to what the teacher asks of you. Good luck!
the answer to 7 times z reduced by a third of the product is 2z
Answer:
$120.14
Step-by-step explanation:
This question is an example of a compound percentage decrease.
To work this out you would first need to convert the percentage of 25 into a decimal. You can do this by dividing the percentage of 25 by 100, this gives you 0.25. This is because percentages are out of 100.
The next step is to minus 0.25 from 1, this gives you 0.75. This is because we are working out the percentage decrease.
The final step is to multiply the amount of 900 by 0.75 to the power of 7, this gives you $120.14.
1) Divide 25 by 100.
2) Minus 0.25 from 1.
3) Multiply 900 by 0.75 to the power of 7.
Answer:
$92
Step-by-step explanation:
- add what you saved and the parents gave you
- subtract that by 180
- $92
