if you understand you will get the answer
In order to solve this you need to represent the measure of x in terms of y. Since x is 30 less than twice as big as y, we can express it using the following: 2y - 30.
Now we can add that to y and set equal to 90 to solve.
2y - 30 + y = 90
3y - 30 = 90
3y = 120
y = 40.
Now knowing that y = 40, we know that x = 50, since they add up to 90.
3) They sold 62 large cupcakes.
This can be found by setting up a system of equations.
The first equation should represent the number sold totally. x + y = 105, where x is equal to the number of large cupcakes and y is equal to the number of small cupcakes.
The second equation should be equal to the amount of money made. 1.25x + .75y = 109.75.
Now to solve this system, you need to multiply the first equation by -1.25. This will give us a new equation of -1.25x - 1.25y = -131.25.
Now if you add the new equation to the second equation, the x values will cancel, giving you the following: -.5y = -21.5 or y = 43.
We can then determine the number of large cupcakes (x) by subtracting our y value from the 105 total, leaving us with 62.
4) The answer for this question is none of your possible answers. The y value should be 25 (the x-value though should be 15, which is the A answer).
We can find this by solving the second equation for x.
x + 2y = 65
x = -2y + 65.
Now that we have a value for x, we can sub it into the first equation in place of x and solve for y.
2x + 3y = 105
2(-2y + 65) + 3y = 105
-4y + 130 + 3y = 105
-y + 130 = 105
-y = -25
y = 25.
I got a 100% :)
I got a 100% on This lesson :) questions 1-4
The correct awnser would be C 50°. And for those of you doing unit 7 lesson 2 questions 1-4
I got a 100% :)
The measure of angle x is 50 degree
Sum of the measures of angle x and angle y is 90
Also given that measure of angle x is 30 less than twice the measure of angle y
Need to determine x.
Twice of angle y = 2y
30 less than twice of angle y = 2y – 30
And as x is 30 less than twice of angle y, we get
x = 2y – 30 (1)
Also as sum of measure of two angles is 90 so we get ,
x + y = 90
y = 90 – x (2)
On substituting value of y from equation 2 , we get
x = 2(90 – x) – 30
=> x = 180 – 2x – 30
=> x + 2x = 180 – 30
=> 3x = 150
=> x = 50
Hence measure of angle is 50 degree
The measure of angle x is 50 degrees.
Given, the sum of the measures of angle x and angle y is 90.
The measure of angle x is 30 less than twice the measure of angle y,
We have to find the measure of angle x
So, now substitute (2) in (1)
Therefore, the measure is 50 degrees