Answer:
m=-3/5
Step-by-step explanation:
Simplifying
3x + 5y = 7
Solving
3x + 5y = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5y' to each side of the equation.
3x + 5y + -5y = 7 + -5y
Combine like terms: 5y + -5y = 0
3x + 0 = 7 + -5y
3x = 7 + -5y
Divide each side by '3'.
x = 2.333333333 + -1.666666667y
Simplifying
x = 2.333333333 + -1.666666667y
Answer:
90 minutes
Step-by-step explanation:
See attachment for graph.
First, we need to determine the slope.
When y = 900, x = 0
When y = 600, x = 30
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
m = (600 - 900)/(30 - 0)
m = -300/30
m = -10
Next, we determine the equation of the line using
y - y1 = m(x - x1)
So, we have:
y - 900 = -10(x - 0)
y - 900 = -10x
y = 900 - 10x
When the container is empty, y = 0.
So, we have:
0 = 900 - 10x
Collect Like Terms
10x = 900
Solve for x
x = 900/10
x = 90
11 is 97
12 is -7
13 is 75
14 is 2
15 is -40
I think there is a mistake in 16
17 is 13
18 is 5
Answer:
x=1.528534
Explanation:
Simplify both sides of equation
4(2x-3)=0.2(x+5)/5.72
(4)(2x)+(4)(−3)=0.034965x+0.174825(Distribute)
8x+−12=0.034965x+0.174825
8x−12=0.034965x+0.174825
Step 2: Subtract 0.034965x from both sides.
8x−12−0.034965x=0.034965x+0.174825−0.034965x
7.965035x−12=0.174825
Step 3: Add 12 to both sides.
7.965035x−12+12=0.174825+12
7.965035x=12.174825
Step 4: Divide both sides by 7.965035.
7.965035x/7.965035=12.174825/7.965035
x=1.528534
Hello,
When you have an inscribed quadrilateral, the opposite sides are supplementary.
So you can write and solve the following equation.
x + 6x + 19 = 180
7x + 19 = 180
7x = 161
x = 23
Now, plug in 23 for X and we will find the measurement of B.
6(23) + 19
138 + 19
157
The measure of angle B is 157 degrees. (The picture is not drawn to scale)
Good luck,
MrEQ
