x=31/14
Step-by-step explanation:
I did the second one btw
Answer:
A, B, and C
Step-by-step explanation:
Let's simply the equation first
- -2(-8 - 4y + 3/4)
- 16 + 8y - 1 1/2
What did Daniel do wrong?
Well, let's break down what I did and compare it to Daniel.
- <em>I multiplied -2 and -8x to get 16x. A negative number times a negative number is positive, and 2 times 8 is 16</em>
Daniel, on the other hand, added the two terms.
The first term should be positive (A)
- <em>I multiplied -2 and -4y to get 8y. The same sign rules apply.</em>
Daniel got a negative number, but it is supposed to be positive (B)
- <em>I multiplied -2 and 3/4 should be -6/4, which simplifies to -1 2/4 which is further reduced to -1 1/2</em>
Daniel multiplied and simplified incorrectly (C)
-Chetan K
Answer:
Janine is 45, Paul is 51 , Brett is 17 and Amanda is 12 years old.
Step-by-step explanation:
Let their ages be J (Janine's age), P , B and A.
Then we are given:
J = P - 6 (1)
P = 3B (2)
A = B - 5 (3)
J + P + B + A = 125 (4).
Using (2) to substitute in (4):
J+ 3B + B + A = 125 Now A = B - 5, so:
J + 4B + B - 5 = 125
J + 5B = 130 Now using (1) to substitute for J:
P - 6 + 5B = 130
P + 5B = 136 Using (2) to substitute for P:
3B + 5B = 136
8B = 136
B = 17.
So from (2): P =3*17 = 51.
From (3): A = B - 5 = 12.
and finally
J = P -6 = 45.
Answer:
The length is 23 inches and the width is 6 inches.
Step-by-step explanation:
The perimeter for a rectangular shape is represented as:
P = 2L + 2W, where L represents length and W represents width
We can represent the length as:
L = 3W + 5
Substituting this into the perimeter function, we get:
P = 2 (3W + 5) + 2W
Substituting 58 for P, we get:
58 = 2 (3W + 5) + 2W
58 = 6W + 10 + 2W
58 = 8W + 10
58 - 10 = 8W + 10 - 10
48 = 8W
48 / 8 = 8W / 8
6 = W
With 6 being the established value for the width, we can substitute this back into the equation for length:
L = 3W + 5
L = 3(6) + 5
L = 18 + 5
L = 23
To check our work, we can substitute both the width and length into the perimeter equation:
P = 2L + 2W
58 = 2(23) + 2(6)
58 = 46 + 12
58 = 58
Therefore, length is 23 inches and the width is 6 inches.