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djverab [1.8K]
3 years ago
14

A bicycle has a listed price of $615.98 before tax. If the sales tax rate is 9.75%, find the total cost of the bicycle with sale

s tax included. Round your answer to the nearest cent, as necessary.
Mathematics
1 answer:
Marianna [84]3 years ago
7 0
Step 1
Write your problem.
537.95 x 9.5% = ?

Step 2
Convert the % to a decimal:
9.5% to 0.095

Step 3
Rewrite the problem with decimal replacing the percentage.

Now the problem looks like this:
537.95 x 0.095 = 51.11
This problem gives the amount of the tax.

Step 4
Add the original price with the tax amount:
537.95 + 51.11 = $589.06 (total cost)
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Alex scored 98,72, and 87 on his first three math test. What must he score on the next test to have an average of at least 86 (P
ss7ja [257]

Answer:

\huge\boxed{\text{At least an } 87\%}

Step-by-step explanation:

In order to find what score Alex must earn to have an average of 86 on all his tests, we need to first note what the formula to find the average of a data set is.

\displaystyle \frac{x_1+x_2+...x_n}{n}

What the formula means is that we have to add up all the values then divide by the total number of values.

Let's represent our unknown number as x.

\displaystyle \frac{98+72+87+x}{4} \geq 86 (since we want AT LEAST an 86).

Let's solve this inequality for x.

  • \frac{98+72+87+x}{4} \cdot 4 \geq 86 \cdot 4
  • 98+72+87+x \geq 344
  • 257 + x \geq 344
  • 257 + x  - 257 \geq 344 - 257
  • x \geq 87

So, Alex must score at least an 87% on his next quiz to have an average of 86%.

Hope this helped!

8 0
2 years ago
What happens to the inequality symbol when you multiply or divide each side by a positive number?
Pani-rosa [81]
If you multiply or divide by a positive number the inequality sign DOES NOT CHANGE!

If you multiply or divide by a negative number the inequality sign flips around and becomes the opposite.
3 0
2 years ago
2. Determine the point of intersection for the equations below without graphing. Show all work.
Murljashka [212]
I’m pretty sure you would have to make them equal
1. 3x -10=7x+14
2. Add 10 to both sides
3. 3x=7x+24
4. Subtract the variable ( 7x ) from both sides
5. -4x=24
6. Divide -4/24
I hope I did it right let me know if any errors
8 0
3 years ago
Find the slope of a line perpendicular to <br><br> Y= -x -1
ad-work [718]
<h2>Greetings!</h2>

Answer:

The slope is 1.

Step-by-step explanation:

First, we must find the slope of the current equation.

This is the number in front of the x.

Seeing as this is -x, or -1x, the slope of this line is -1

When finding the slope of a line perpendicular, you need to find the \frac{-1}{slope}

So, in this case it is:

\frac{-1}{-1}

The minuses cancel out, leaving with 1 over 1 or 1/

So the slope of the line perpendicular is 1!


<h2>Hope this helps!</h2>
8 0
3 years ago
Write an equation to match each statement. Then solve. #1) 8 less than a number x is -12. #2) 15 more than a number k is 2. #3)
guajiro [1.7K]
#1) x-8= -12
#2) 15+k= 2
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#4) (5/8)(x)= -20

The / in #2 means to divide and the ( ) mean to multiply
5 0
3 years ago
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