X=5
Work:
y=2x-10
4x=2x-10
2x=10, then divide 2x on each side
x=5
The answer is B hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
<em>Thus, the dimensions of the metal plate are 10 dm and 8 dm.</em>
Step-by-step explanation:
For a quadratic equation:

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.
We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:
P=2(L+W)=36
A=L.W=80
Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.
Thus we use the semi perimeter instead as P/2=L+W=18
The quadratic equation is, then:

Factoring by finding two numbers that add up to 18 and have a product of 80:

The solutions to the equation are:
x=10, x=8
Thus, the dimensions of the metal plate are 10 dm and 8 dm.
A customer will pay $225.5 for one rug.
Step-by-step explanation:
Given,
Purchase price of rug = $82.00
Mark up = 150%
Amount of mark up = 150% of purchase price
Amount of mark up = 
Amount of mark up = 1.5*82 = $123
Price of rug after mark up = Purchase price + Mark up
Price of rug after mark up = 82+123 = $205
Sales tax = 10%
Amount of sales tax = 10% of price after markup
Amount of sales tax = 
Selling price = Price after markup + Amount of sales tax
Selling price = 205+20.5 = $225.5
A customer will pay $225.5 for one rug.
Keywords: percentage, markup
Learn more about percentages at:
#LearnwithBrainly
Answer:
The probability is 435/6,806
Step-by-step explanation:
Firstly, the total number of coins in the jar is
13 + 15 + 29 + 26 = 83
The probability of selecting a dime is 15/83
Now we want to grab a nickel
Since we already selected a dime and we did not replace it, the number of total coins in the jar will be 83-1 = 82
So the probability of selecting a nickel this time is
29/82
So the total probability of the event in the described order is;
15/83 * 29/82
= 435/6,806