Answer:
(1)
Step-by-step explanation:
We will try:
(1) y =
x => 2 = 2 (seems legit)
(2) y = 4x => 2 = 32 (nope)
(3) y = x - 6 => 2 = 2 (yes but actually no because it is proportional relationship)
(4) y =
x - 2 => 2 = 2 (like the above)
Answer:
35 inches
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w)
We know the perimeter and the length
84= 2 ( l+7)
Divide each side by 2
84/2 = 2/2 (l+7)
42 = (l+7)
Subtract 7 from each side
42-7 = l+7-7
35 = l
The length is 35 inches
Answer:
25 minutes left for reading.
Step-by-step explanation:
(1/3)*(1 hour)= 20 minutes
(1/4)*(1 hour)=15 minutes
Add the two answers: 35 minutes total spent on her phone and brushing her teeth, leaving 25 minutes to read.
Answer:
x = 5
Step-by-step explanation:
Ordinarily, one would not need the distributive property to solve this equation. It is quickly and easily solved by making use of the multiplication property of equality: multiply both sides of the equation by 1/3.
3x(1/3) = 15(1/3)
x = 5
___
To use the <em>distributive property</em>, we need the sum of two terms that have a common factor. We can get that form by subtracting 15 from both sides of the equation (subtraction property of equality):
3x - 15 = 15 - 15 . . . . subtract 15
3x -15 = 0 . . . . . . . . .simplify
Now, we can apply the distributive property to remove a factor of 3:
3(x -5) = 0
And we can use the multiplication property of equality to multiply by 1/3:
3(1/3)(x -5) = 0(1/3)
x -5 = 0 . . . . . . . . . . simplify
Finally, we can add 5 to both sides of the equation (addition property of equality):
x -5 +5 = 0 +5
x + 0 = 5 . . . . . . simplify
x = 5 . . . . . . . . . .simplify more