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andrey2020 [161]
3 years ago
6

Joe and Carmen are partners in a business. Joe makes $2.00 profit for every $5.00 profit that Carmen makes. If Carmen makes $20

on the first item they sell, how much profit will Joe make?
Mathematics
1 answer:
Inessa05 [86]3 years ago
5 0
Joe will make a $8.00 profit
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The sum of a number and its square is 182. Find the number.
Mars2501 [29]

Answer:

13 and -14 satisfy this condition

Step-by-step explanation:

Let's represent that number as x

and the square of x is x^2

So,

x + x^2 = 182

Subtract 182 from both sides

x + x^2 - 182 = 182 - 182

x + x^2 - 182 = 0

rearrange the quadratic equation

x^2 + x -182 = 0

let's use the quadratic formula

\frac{-b+\sqrt{b^2-4ac} }{2a}       or      \frac{-b-\sqrt{b^2-4ac} }{2a}

a = 1, b = 1, c = -182

\frac{-1+\sqrt{1^2-4*1*(-182)} }{2*1}       or     \frac{-1-\sqrt{1^2-4*1*(-182)} }{2*1}

\frac{-1+\sqrt{1+728} }{2}      or         \frac{-1-\sqrt{1+728} }{2}

\frac{-1+\sqrt{729} }{2}            or    \frac{-1-\sqrt{729} }{2}

\frac{-1+{27} }{2}     or    \frac{-1-{27} }{2}

\frac{26}{2}     or    \frac{-28}{2}

13 or    - 14

Lets check

13 + 13^2 = 13 + 169

= 182

Also,

-14 + (-14^2) = -14 + 196

= 182

8 0
3 years ago
Lucy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $53 and costs an add
Alchen [17]

Answer:

The amount driven would be 275, and the cost for both plans will be 77.75$

Step-by-step explanation:

make both equations

y=0.09x+53

y=0.13x+42

set them equal to each other and solve for x to get the distance

take that number and put it in one equation and solve for y to get the price of the plan for that value

6 0
2 years ago
The area of a square can be found using the equation A=s^2, where A is the area and s is the measure of one side of the square.
MaRussiya [10]
A = 81 square in.

s = sqrt(A)

s = sqrt(81)

s = 9 in.
8 0
2 years ago
The original price for the shirt is $30.00. The shirt is on sale for 10% off. What is the sale price of the shirt?
Xelga [282]

Answer:

$3 off which is $27

Step-by-step explanation:

10% of 30 is 3 so you would subtract 30 - 3

and you get $27

8 0
2 years ago
PLEASE HELP I WILL GIVE YOU ALOT OF POINTS!!!!!!!!!!!!!!!!!!!!
ollegr [7]
The answer is: 

<span>y</span><span> > 2</span><span>x
</span>x<span> + 2</span>y<span> ≤ –8



</span>
6 0
2 years ago
Read 2 more answers
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