Answer:
1 13/20
Step-by-step explanation:
5 1/2 ÷ 3 1/3
11/2 ÷ 10/3
11/2 x 3/10 = 33/20
33/20 = 1 13/20
Hope this helps :)
Answer:
Step-by-step explanation:
Let the angles be 4x , 5x
4x + 5x = 180 { supplementary}
9x = 180
x = 180/9
x = 20
Larger angle= 5x = 5* 20 = 100
Given:
The cost y (in dollars) of renting a segway for x hours is

To find:
The initial fee and the cost per hour.
Solution:
We have,
...(i)
The slope intercept form of a linear equation is
...(ii)
where, m is slope is b is y-intercept or initial value.
From (i) and (ii), we get

The value of m is 30, so the slope is 30. It means cost per hour is $30.
The value of b is 25, so y-intercept is 25. It means the initial fee is $25.
Answer:
16
Step-by-step explanation:
In a 30 60 90 degree triangle, the hypotenuse is always double the shorter leg. Hope this helps! :)
Answer:
(- 1, 5 )
Step-by-step explanation:
Using the method of substitution.
Given the 2 equations
3x + 2y = 7 → (1)
x - 4y = - 21 → (2)
Rearrange (2) expressing x in terms of y by adding 4y to both sides.
x = 4y - 21 → (3)
Substitute x = 4y - 21 into (1)
3(4y - 21) + 2y = 7 ← distribute and simplify left side
12y - 63 + 2y = 7
14y - 63 = 7 ( add 63 to both sides )
14y = 70 ( divide both sides by 14 )
y = 5
Substitute y = 5 into (3)
x = (4 × 5) - 21 = 20 - 21 = - 1
Solution is (- 1, 5 )