There are two ways to do this but the way I prefer is to make one of the equations in terms of one variable and then 'plug this in' to the second equation. I will demonstrate
Look at equation 1,
this can quite easily be manipulated to show
.
Then because there is a y in the second equation (and both equations are simultaneous) we can 'plug in' our new equation where y is in the second one
which can then be solved for x since there is only one variable
and then with our x solution we can work out our y solution by using the equation we manipulated
.
So the solution to these equations is x=-2 when y=6
Find the mode for the price of movie tickets at various theaters. $5, $4, $7, $9, $5, $8, $5, $3, $6, $5, $7, $4, $5, $4
kupik [55]
5 is the most occurring number
Step-by-step explanation:
Convert the mixed number <span>21 <span>2/3</span></span><span> into an </span><span>improper fraction.
</span>15⋅<span>65/3
</span><span>Cancel 3 and 15.
</span><span>5⋅65
</span>Multiply 5<span> by </span>65<span> to get </span><span>325.
</span>325
Answer:
325
Answer: $1100
Step-by-step explanation:
The employer contributes, along with Melissa, in the ratio of 1:2
Up to 6% of $55000, therefore 6/100 x 55000 = 3300
Split in the ratio of 1:2, she will contribute 1/3 of 3300 = 1100
and the employer will contribute 2/3 of 3300 = 2200
Answer:
x = 8
I dunno what the question is in the first place, but I assume you are solving for x.
Step-by-step explanation:
The two given angles are equivalent because they are parallel and they have a line that intersects.
The line creates two angles on each side of each line, which is 120 or 60 because there are 180 degs on a straight line.
The obtuse side is 120, and the -8 + 16x is also on an obtuse angle, showing that they are equal.
120 = -8 + 16x
128 = 16x
8 = x
x = 8
