1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
RSB [31]
3 years ago
5

'Quiz: Math Review Quiz

Mathematics
1 answer:
pentagon [3]3 years ago
8 0

Answer:

The tax rate is 4.3%

Step-by-step explanation:

First, we have to assume $2.79 is 100%. We know that x% equals 0.12 of the output value. Now we have two simple equations: 100%=2.79 and x%=0.12.

Then, 100%/x%=2.27/0.12 and that gives us 4.3%!

Hope this helps.

You might be interested in
Solve each quadratic equation by completing the square. 6. x2 + 2x = 8 7. x2 - 6x = 16 8. x2 - 18x = 19 9. x2 + 3x = 3 10. x2 +
Andrei [34K]
Lets get started :)

These questions have asked us to solve by completing the square.
How do we? I have attached a picture, which will explain

6. x² + 2x = 8
→ b is the coefficient of x, which is 2
→ We take half of 2 and square it. Then, we add it to either side

x² + 2x + (\frac{2}{2} )^2 = 8 + ( \frac{2}{2})^2
x² + 2x + 1 = 8 + 1
( x + 1 )( x + 1 ) = 9
( x + 1 )² = 9
\sqrt{( x + 1 )^2} = \sqrt{9}
x + 1 = + 3 or x + 1 = - 3
    x = 2     or     x = - 4

7. x² - 6x = 16

→ We do the same thing we did in the previous question

x² - 6x + (\frac{6}{2})^2 = 16 +  (\frac{6}{2})^2 
x² - 6x + 9 = 16 + 9
(x - 3)² = 25
\sqrt{(x-3)^2} =  \sqrt{25}
x - 3 = + 5 or x - 3 = - 5
   x = 8      or       x = - 2

8. x² - 18x = 19

x² - 18x + ( \frac{18}{2} )^2 = 19 + ( \frac{18}{2})^2
x² - 18x + 81 = 19 + 81
( x - 9 )( x - 9 ) = 100
( x - 9 )² = 100
\sqrt{(x-9)^2} =  \sqrt{100}
x - 9 = + 10 or x - 9 = -10
   x = 19      or      x = - 1

9. x² + 3x = 3

x² + 3x + ( \frac{3}{2} )^2 = 3 +  (\frac{3}{2} )
x^2 + 3x +  \frac{9}{4} = 3 +  \frac{9}{4}
x^{2} + 3x +  \frac{9}{4} =  \frac{21}{4}
(x^2 +  \frac{3}{2} ) ( x^2 +  \frac{3}{2} ) =  \frac{21}{4}
( x^2 + \frac{3}{2} )^2 =  \frac{21}{4}
\sqrt{ x^2 + \frac{3}{2} } =  \sqrt{ \frac{21}{4} } 
x +  \frac{3}{2} = + \frac{ \sqrt{21} }{2} or x +\frac{3}{2} = -  \frac{ \sqrt{21} }{2}
x = \frac{-3+ \sqrt{21} }{2} or x = \frac{-3 - \sqrt{21}}{2}


7 0
3 years ago
(07.03 LC) Which statement is true about the solutions for the equation 5y + 8 = −2? It has no solution. It has one solution. It
Vinvika [58]

Good evening ,

______

Answer:

It has one solution = -2.

___________________

Step-by-step explanation:

5y + 8 = −2 ⇔ 5y = -8 -2 = -10 ⇔ y = -10/5 ⇔ y = -2.

:)

5 0
3 years ago
Is |4x+2|+6=0 no solution, all real numbers, 0, and 2
algol [13]

                                        <u>|4x + 2| + 6 = 0</u>

Subtract  6  from each side:  |4x + 2| = -6

But the absolute value of a number is always positive.
No value of 'x' can ever make  |4x + 2|  negative.

So the equation has <em>no solution</em>.


7 0
3 years ago
Two professors in the mathematics building have offices that are consecutive odd numbers with a sum of 15,044. what are the offi
AlladinOne [14]
Let one of the number be x
The other number will be x + 2

x + x + 2 = 15044
2x + 2 = 15044
2x = 15044 -2 
2x = 15042
x = 7521
x + 2 = 7521 + 2 = 7523

The office number is 7521 and 7523
6 0
3 years ago
What is the difference between an irrational number and an integer?? please explain!
SpyIntel [72]

Answer:

Explanation: Irrational numbers are non-terminating, recurring decimal numbers i.e, a decimal expansion that neither terminates nor becomes periodic which cannot be expressed in the form of a fraction. ... Integer is a complete entity that includes every natural number along with its negatives and zero.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP EXTRA POINTS / WRONG ANSWERS WILL BE REPORTED
    14·1 answer
  • What is 5.8×10^6 seconds in minutes?
    10·2 answers
  • A man earns $112 interest in one year on an investment of $1,400. What was his rate of interest?
    8·1 answer
  • What is a random sampling
    9·1 answer
  • Oop please help me with number 4
    11·1 answer
  • T/4 &gt; 7 solve the inequality
    11·1 answer
  • 1. Graph: y = 3x<br> please help
    11·1 answer
  • Help! <br><br> . 99 ÷ . 045 =
    11·1 answer
  • Question 4 of 10
    7·2 answers
  • -12.6x -4.9x = - 154
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!