Answer:
A) 29/8
Step-by-step explanation:
On the left side of the equals sign, we have five x's and nine -1's.
On the right side of the equals sign, we have three -x's and twenty 1's.
Both sides are equal, so:
5(x) + 9(-1) = 3(-x) + 20(1)
5x − 9 = -3x + 20
Add 3x to both sides.
8x − 9 = 20
Add 9 to both sides.
8x = 29
Divide both sides by 8.
x = 29/8
Answer:
Step-by-step explanation:
Square
The side length of the square = 8 cm
The area of the square = s^2
The area of the square = 8^2 = 64
Circle
r = d/2
r = 8/2
r = 4
Area of the circle = pi r^2
Area of the circle = 3.14 * 16
Area of the circle = 50.24
Shaded Area
Area of the Shaded area = area Square - Area Circle
= 64 - 40.24
= 23.76
The first picture would be choice answer c because the number of x's represent how many birds wings are this size. The number on the tic mark represents the size of the wing span. So you would take the number of x's times the tic mark represented under it. There are 3 birds with 3 1/8 wingspan so it wold be 3 1/8 *3. Hoped this helps for the first one!
9514 1404 393
Answer:
Step-by-step explanation:
Let x and y represent the weights of the large and small boxes, respectively. The problem statement gives rise to the system of equations ...
x + y = 85 . . . . . combined weight of a large and small box
70x +50y = 5350 . . . . combined weight of 70 large and 50 small boxes
We can subtract 50 times the first equation from the second to find the weight of a large box.
(70x +50y) -50(x +y) = (5350) -50(85)
20x = 1100 . . . . simplify
x = 55 . . . . . . . divide by 20
Using this in the first equation, we can find the weight of a small box.
55 +y = 85
y = 30 . . . . . . . subtract 55
A large box weighs 55 pounds; a small box weighs 30 pounds.
Answer:
6p - 2
Step-by-step explanation:
The expression that needs to be made in this question refers to the total number of people that signed the petition. To calculate this we need to add the total number of signatures that both you and your friend were able to acquire. Once we do this we simply combine like terms in order to simplify the expression as much as possible.
4p + 5 + 2p - 3
4p + 2p + 5 - 3
6p - 2
Therefore, the total and simplified expression for the total number of signatures would be 6p - 2
