Answer:
1/6
Step-by-step explanation:
3 out of 18 marbles are green. 3/18 can be reduced to 1/6 because both 3 and 18 are divisible by 3.
3/3=1
18/3=6
1/6
Answer:
<u>Width = 2x² , Length = 7x² + 3</u>
Step-by-step explanation:
The area of the rectangle = 14x⁴ + 6x²
The width of the rectangle (in meters) is equal to the greatest common monomial factor of 14x⁴ and 6x²
Factors of 14: 1 * <u>2</u> * 7
Factors of 6: 1 * <u>2</u> * *3
∴ The greatest common monomial factor of 14 and 6 = 2
Factors of x⁴: x , x² , x³ , x⁴
Factors of x²: x , x²
∴ The greatest common factor of x⁴ and x² = x²
∴ Width = 2x²
∵ Area = length times the width
∴ Length = Area/Width
Length = ![\frac{14x^{4}+6x^2 }{2x^2} =\frac{2x^2*(7x^2+3)}{2x^2} =7x^2+3](https://tex.z-dn.net/?f=%5Cfrac%7B14x%5E%7B4%7D%2B6x%5E2%20%7D%7B2x%5E2%7D%20%3D%5Cfrac%7B2x%5E2%2A%287x%5E2%2B3%29%7D%7B2x%5E2%7D%20%3D7x%5E2%2B3)
Answer:
First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.
Step-by-step explanation:
Answer:
Hey there!
Here's the first question.
Let l be the length, and w be the width.
Thus, we have 5w=l+4, or 5w-4=l.
The perimeter is 76, so 2l+2w=76.
We see that l=5w-4, so substitute 5w-4 for l.
2(5w-4)+2w=76
10w-8+2w=76
12w-8=76
12w=84
w=7
Thus, the length is 5(7)-4, or 31.
Option C is correct.
Here is the second question)
Let x be the larger angle and y be the smaller angle.
Supplementary angles add to 180 degrees.
x+y=180
x=3y
Similar to the first problem change all the x's into 3y's
3y+y=180
4y=180
y=45
x=135
So the two angles are 45 and 135 and they add to 180 degrees (Choice D)
Hope this helps :)
Answer:
The input is x2
Step-by-step explanation:
1*2=2
4*2=8 and the rest go on