Answer:
Disagreee
Step-by-step explanation:
it has 6 sides so take 360/6 and you'll get 60, so it has to be rotated 60deg for it to be carried onto itself.
Bearing in mind that, there are
60 seconds in 1 minute,
60 minutes in 1 hr,
1000 meters in 1 km,
and 1.609 km in 1 mile
Step-by-step explanation:
V
≈
424.12
cm³
d
Diameter
cm
h
Height
cm
Answer:
y = 3/4 or y = -3/5
Step-by-step explanation:
Solve for y:
(8 y - 6) (10 y + 6) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
8 y - 6 = 0 or 10 y + 6 = 0
Hint: | Look at the first equation: Factor the left hand side.
Factor constant terms from the left hand side:
2 (4 y - 3) = 0 or 10 y + 6 = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 2:
4 y - 3 = 0 or 10 y + 6 = 0
Hint: | Isolate terms with y to the left hand side.
Add 3 to both sides:
4 y = 3 or 10 y + 6 = 0
Hint: | Solve for y.
Divide both sides by 4:
y = 3/4 or 10 y + 6 = 0
Hint: | Look at the second equation: Factor the left hand side.
Factor constant terms from the left hand side:
y = 3/4 or 2 (5 y + 3) = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 2:
y = 3/4 or 5 y + 3 = 0
Hint: | Isolate terms with y to the left hand side.
Subtract 3 from both sides:
y = 3/4 or 5 y = -3
Hint: | Solve for y.
Divide both sides by 5:
Answer: y = 3/4 or y = -3/5
Answer:
The company sold 100 widgets and 250 gizmos.
Step-by-step explanation:
Let
be the number of widgets sold and
be the number of gizmos sold.
We are told that the company sold 350 items. We can represent this information in an equation as:
![x_1+x_2=350...(1)](https://tex.z-dn.net/?f=x_1%2Bx_2%3D350...%281%29)
We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.
We can represent this information in an equation as:
![35x_1+22x_2=9,000...(2)](https://tex.z-dn.net/?f=35x_1%2B22x_2%3D9%2C000...%282%29)
From equation (1), we will get:
Substitute this value in equation (2):
![35x_1+22(350-x_1)=9,000](https://tex.z-dn.net/?f=35x_1%2B22%28350-x_1%29%3D9%2C000)
![35x_1+7,700-22x_1=9,000](https://tex.z-dn.net/?f=35x_1%2B7%2C700-22x_1%3D9%2C000)
![13x_1+7,700=9,000](https://tex.z-dn.net/?f=13x_1%2B7%2C700%3D9%2C000)
![13x_1+7,700-7,700=9,000-7,700](https://tex.z-dn.net/?f=13x_1%2B7%2C700-7%2C700%3D9%2C000-7%2C700)
![13x_1=1,300](https://tex.z-dn.net/?f=13x_1%3D1%2C300)
![\frac{13x_1}{13}=\frac{1,300}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B13x_1%7D%7B13%7D%3D%5Cfrac%7B1%2C300%7D%7B13%7D)
![x_1=100](https://tex.z-dn.net/?f=x_1%3D100)
Therefore, the company sold 100 widgets.
Substitute
in equation (1):
![100+x_2=350](https://tex.z-dn.net/?f=100%2Bx_2%3D350)
![100-100+x_2=350-100](https://tex.z-dn.net/?f=100-100%2Bx_2%3D350-100)
![x_2=250](https://tex.z-dn.net/?f=x_2%3D250)
Therefore, the company sold 250 gizmos.