Answer:
y = -0.25x + 10
Step-by-step explanation:
Point-slope form is y - y1 = m (x - x1)
Here, y1 is 7, m is -0.25, and x1 is 12
When you plug these values in, you get y - 7 = -0.25 (x - 12)
Now we have to solve for y.
y - 7 = -0.25 (x - 12)
Distribute
y - 7 = -0.25x + 3
Add 7 to both sides
y = -0.25x + 10
Answer:
Tito have textbooks in terms of x
Step-by-step explanation:
Rudy has 6 textbooks
We are given that Tito and Maria each have y textbooks
So, Tito has no. of books = y
Maria has no. of books = y
So, total number of textbooks = 6+y+y=6+2y
We are given that Rudy, Maria, and Tito have a total of x textbooks
So,6+2y=x
So, 2y=x-6
Hence Tito have textbooks in terms of x
Answer:
16 1/7
Step-by-step explanation:
simple add
start with the fractions
5/7+3/7 = 8/7
simplify 1 1/7
add your whole numbers 15+1= 16 and the add your fraction 16+1/7= 16 1/7
Answer:
18ft wide and 33 ft long
Step-by-step explanation:
We are told in the question that:
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long.
The Area of the carpeting she must have = 594 ft²
To solve for this, we have:
Length × Width = Area of a rectangle
594ft² = Length × Width
594ft² = (20 - x) (35 - x)
594 = 700 - 20x - 35x + x²
594 = 700 - 55x + x²
Collect like terms
x² - 55x + 700 - 594
x² - 55x + 106
We factorise
x² - 2x - 53x + 106
(x² - 2x) -(53x + 106)
x(x - 2) -53(x - 2)
(x - 2)(x - 53)
x - 2 = 0, x = 2
x - 53 = 0, x = 53
We choose the least value for x
Hence, x = 2
Length = 20 - 2 = 18ft
Width = 35 - 2 = 33ft
The dimensions the rug should have is 18ft by 33ft, meaning 18ft wide and 33 ft long