Answer:
Charlotte spent 
on furniture
Step-by-step explanation:
Given:
Charlotte spent 25% more on furniture than she will on flooring
To Find:
Amount spent on furniture = ?
Solution:
Let the amount spent on flooring be x
and the amount spent on furniture be y
25% more on furniture than she spent on flooring can be written as
=>25% of x
So the cost spent on furniture will be
=>y= cost spent on flooring + 25% of cost spent on flooring
=>y= x + 25% of x
=>y=
=> y=
Answer:
The two numbers are 37.5 and 25.5
Step-by-step explanation:
Comment
Let the two numbers be x and y
Equations
x + y = 63
x - y = 12
Solution
Add the two equations. The ys cancel out.
2x = 75 Divide by 2
2x/2 = 75/3 Do the division
x = 37.5
Now use one of the given equations to solve for y
x + y = 63
x = 37.5
37.5 + y = 63 Subtract 37.5 from both sides
37.5-37.5+y= 63 - 37.5 Collect the like terms on both sides
y = 25.5
Check
x - y =? 12
37.5-25.5 =? 12
12 = 12
Answer:
y - 7 = (x + 5)
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
Slope(m) = 1
Point: (-5, 7) = (x1, y1)
To write the equation in point-slope form, we need to know the slope and one point. Since we were already given the values of the slope and one point, all we have to do is input those values into the equation:
y - y1 = m(x - x1)
y - 7 = 1(x - (-5))
y - 7 = (x + 5)
The equation in point-slope form is: y - 7 = (x + 5)
Hey there! :D
So, we can just divide all the numbers to figure it out.
31/9= 3.44444444
32/9=3.5555556
33/9= 3.66666777
34/9= 3.777778
The closest number to 3.4 is 31/9. "A" is the correct answer.
I hope this helps!
~kaikers
Answer:
(2, - 1 ) and (5, 2 )
Step-by-step explanation:
y + 2 = (x - 3)² → (1)
y + 3 = x ( subtract 3 from both sides )
y = x - 3 → (2)
Substitute y = x - 3 into (1)
x - 3 + 2 = (x - 3)² ← expand using FOIL
x - 1 = x² - 6x + 9 ( subtract x - 1 from both sides )
0 = x² - 7x + 10 ← in standard form
0 = (x - 2)(x - 5) ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 5 = 0 ⇒ x = 5
Substitute these values into (2) for corresponding values of y
x = 2 : y = 2 - 3 = - 1 ⇒ (2, - 1 )
x = 5 : y = 5 - 3 = 2 ⇒ (5, 2 )
