Answer:
x = 5
Step-by-step explanation:
We have the algebraic expression and are asked to solve for x.
To solve, we need to isolate x.
2x + 22 = 4(x + 3)
Distribute :
2x + 22 = (4(x) + 4(3))
2x + 22 = 4x + 12
Subtract 12 from both sides :
2x + 10 = 4x
4x = 2x + 10
Subtract 2x from both sides :
2x = 10
Divide 2 from both sides to get x alone :
x = 5
I believe the correct answer from the choices listed above is option B. A rectangle can be reflected across an axis of symmetry so that it carries onto itself twice. <span>Rectangles are geometric shapes with </span>two lines<span> of symmetry. One line of symmetry divides a rectangle in half horizontally, and the other line divides the shape in half vertically.</span>
Let s and g represents the numbers of suits and gowns produced.
The number of zippers used is 2s+g.
The number of buttons used is 5s+8g.
In order to use all of the available zippers and buttons, we must have ...
- 2s + g = 171
- 5s + 8g = 576
Cramer's rule tells you the solution to the system
Is given by
- x = (bf-ey)/(bd-ea)
- y = (cd-fa)/(bd-ea)
Using this rule on the equations for zippers and buttons, we have
... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72
... g = (171·5 -2·576)/-11 = -297/-11 = 27
72 suits and 27 gowns can be made from available zippers and buttons.
8: 20
9: 90
I am so sorry if this is wrong. I am not good at this type of things
We can see that there are 5 CDs, each of radius 9 cm
<u>Area occupied by 1 disc:</u>
Area of a circle = πr²
Area of disc = π(9)²
Area of disc = 3.14 * 81 = 254 cm²
<u>Area occupied by 5 discs:</u>
Area occupied by 5 discs = Area occupied by 1 disc * 5
Area occupied by 5 discs = 254 * 5
Area occupied by 5 discs = 1270 cm²
