John paid $32.16 for groceries this included the 7% sales tax what was the cost of groceries before the sales tax

Answers

Answer 1

Answer: The answer is $30.06.

John added 7% of tax to the price before tax which is 100%. So, the price John paid is 107%. If $32.16 is 107%, how many $ is 100% (the price before tax):
$32.16 : 107% = x : 100%

After crossing the products:
x · 107% = $32.16 · 100%
⇒ x = $32.16 · 100% ÷ 107% = $30.06

Therefore, the cost of groceries before the sales tax is $30.06.

Answer 2

Answer:

Answer The answer would be $30.06

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A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4,500. Write and solve an absolute value inequality to determine the range of salaries at this company.|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

|x − 37,500| ≤ 4500; The salaries are less than $33,000 or greater than $42,000.

|x − 37500| ≥ 4500; The salaries range from $33,000 to $42,000

|x − 37,500| ≥ 4500; The salaries are less than $33,000 or greater than $42,000.

Answers

Given:
Average salary = 37,500
differ as much as 4,500

37,500 + 4,500 = 42,000
37,500 - 4,500 = 33,000

|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

Answer:

|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

Step-by-step explanation:

Charlie solved an equation, as shown below:Step 1: 5x = 30
Step 2: x = 30 – 5
Step 3: x = 25

Part A: Is Charlie's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points)

Part B: How many solutions will this equation have? (4 points)

Answers

Part A: Charlie's answer is incorrect. Part B: There is only 1 solution for this equation.

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

Charlie solved an equation;

Step 1: 5x = 30

Step 2: x = 30 – 5

Step 3: x = 25

Part A: Charlie's answer is incorrect.

In step 2 of Charlie's answer he subtracted 5 from each side. Since 5x is multiplication so, he must divide each side by 5 to get x by itself.

Step 1: 5x = 30

Step 2: x = 30/5

Step 3: x = 6

Part B: There is only 1 solution for this equation.

Learn more about linear equations;

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Part A: Charlie's answer is incorrect
In step 2 of Charlie's answer he subtracted 5 from each side. Since 5x is multiplication, he must DIVIDE each side by 5 to get x by itself. The problem should have worked out like this...

Step 1: 5x = 30
Step 2: x = 30/5
Step 3: x = 6

Part B: There is only 1 solution for this problem.

Ada writes 10 + 8 = 18 on the board. Maria wants to use the commuatative property of addition to rewrite adas addition sentence. What number sentence should Maria write ?

Answers

"commutative property" in addition and multiplication means that you can exchange the places of integers in addition and multiplication and still get the same answer.

For this question:
10 + 8 = 18 can be rewritten using commutative property as: 8 + 10 = 18

Evaluate h -2 g for h = 3 and g = 27.

Answers

h-2g=3-2(27)
h-2g=3-54
h-2g=-51 Ans.

h-2g
= 3-2(27)
= 3-54
= -51 (Answer)

Round 71195.4277573 to 2 decimal places.

Answers

71195.4277573 will round up as71195.43 up to two decimal places.

How do round any digit?

To round up or down of tens place then we need to look at the unit place if it is less than 5 then we need to round down and if it is greater than 5 then we need to round up of tens digit.

In order to round to a hundred, we need to look at the tens digit if it is less than 5 then we round down and if it is 5 or greater than 5 then we will round up.

For example round of 346 will, be350 and round of 344 will be 340

Given that,

71195.4277573

Now if we want to round upto 2 decimal places then we need to look at the third decimal place.

If it is greater than 5 then we will round it up and if it is less than 5 then we will round it down.

Since in 71195.4277573, it is 7 so it will round up.

So,

71195.4277573 → 71195.43

Hence "71195.4277573 will round up as71195.43 up to two decimal places".

To learn more about rounding a digit,

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It would be rounded to 71195.43

Kim works as a salesperson for a photo studio To find his earnings for the week he multiplies hisntotal sales by0. 175. His sales for the week of October 10 total $2,507.47. What did he earn for the week

Answers

You would multiply 2507.47 by 175. This would get you $438,807.25. It was hard to interpret your question so I hope I answered it correctly.

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Kalon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of weeks Kalon will need to save to reach his goal?