Answer:
2) 2x = y + 13
Step-by-step explanation:
We have to translate the given information into an equation. We don't know what the numbers are yet, so let the first number be represented by the variable x and the second number be represented by the variable y.
Start by breaking the sentence apart. "2 times the first number" gives us 
. The "is" in the sentence means that equals something, bringing us to 
. Finally, it says "13 more than the second number." 13 more would mean you have to add to the second number, represented by y, so this gives us 
. Put it all together and it is 
.
Since the Davis family put a $20,000 down payment on the house they purchased and also took out a $265,000 mortgage, that means the purchase price of the house is $285,000. To budget 1% of purchase price means about $2,850 for the year to pay for unexpected expenses.
They will have to share 2.5 pounds of rice
Answer:
16 ft by 22 ft
Step-by-step explanation:
The Area of the carpeting she must have = 352 ft²
To solve for this, we have:
Length × Width = Area of a rectangle
352ft² = Length × Width
352ft² = (20 - x) (26 - x)
352 = 520 - 20x - 26x + x²
352 = 520 - 46x + x²
Collect like terms
x² - 46x + 520 - 352
x² - 46x + 168
We factorise
x² - 4x - 42x + 106
(x² - 4x) -(42x + 106)
x(x - 4) -42(x - 4)
(x - 4)(x - 42)
x - 4 = 0, x = 4
x - 42 = 0, x = 42
We choose the least value for x
Hence, x = 4
Length = 20 - 4 = 16ft
Width = 22- 4= 22ft
The dimensions the rug should have is 16ft by 22 ft, meaning 16ft wide and 22ft long
