Answer:
D 4+p=24
Step-by-step explanation:
So P stands for Paul & how much he spent.
Dan spent $24 at the store & he spent $4 more than Paul, so Paul only spent $20. So P = $20
So which equation would work if you substituted $20 for P?
4 + P = 24
4 + 20 = 24
Change the equation to slope intercept form: y= mx + b. m is slope and b is the y-intercept.
7x+4y=10
subtract 7x
4y=10-7x
divide by 4
y=(10-7x)/4
y=10/4-7x/4
simplify
y=5/2-7x/4
swap positions for correct form
y= -7/4x + 5/2
slope= -7/4
Answer:
(5, 3 ) and (- 
, - 10 )
Step-by-step explanation:
Given the 2 equations
2x - y = 7 → (1)
xy = 15 → (2)
Rearrange (1) expressing y in terms of x , that is
y = 2x - 7 → (3)
Substitute y = 2x - 7 into (2)
x(2x - 7) = 15
2x² - 7x = 15 ( subtract 15 from both sides )
2x² - 7x - 15 = 0 ← in standard form
(x - 5)(2x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = -
Substitute these values into (3) for corresponding values of y
x = 5 : y = 2(5) - 7 = 10 - 7 = 3 ⇒ (5, 3 )
x = - : y = 2(- ) - 7 = - 3 - 7 = - 10 ⇒ (- , - 10 )
These three individual items take 1/4, 1/6, and 1/8 of the budget. The part of the budget that they take all together is the sum of those individual parts. You need to add up 1/4, 1/6, and 1/8. To do that, you'll need to put all three fractions over a common denominator first, the
