Answer:
9in
Step-by-step explanation:
54 = 1/2(12*x)
54 = 6*x
x = 9
Check
12 x 9 = 108
108/2 = 54
Answer:
Quadrant II
Step-by-step explanation:
Since there are 360 degrees in a circle we will subtract it from 860 until we get a number less than 360
Since it less than 180 but more than 90 it will be in the second quadrant
Hope this helps! <3
You want to eliminate one of the terms (x or y) in one of the equations so you can solve for the other variable. You have to multiply by the opposite number of the coefficient to be able to eliminate the term in the other equation. If the x coefficient is 2, then you have to multiply the entire other equation by -2. If the y coefficient is -5, then you have to multiply the entire other equation by 5.
10)
-4x + 9y= 9
x - 3y= -6
STEP 1:
multiply the bottom equation by 4
4(x- 3y)= 4(-6)
4x - 12y= -24
STEP 2:
add the top equation and the equation from step 2
-4x + 9y= 9
4x - 12y= -24
the x term cancels out
-3y= 15
divide both sides by -3
y= -5
STEP 2:
substitute the y value in either original equation to solve for x
x - 3y= -6
x - 3(-5)= -6
x + 15= -6
subtract 15 from both sides
x= -21
ANSWER: x= -21; y= -5
____________________
12)
-7x + y= -19
-2x + 3y= -19
STEP 1:
multiply the top equation by -3 to eliminate the y term and to solve for x
-3(-7x + y)= -3(-19)
21x - 3y= 57
STEP 2:
add the bottom equation and the equation from step 2 to solve for x
-2x + 3y= -19
21x - 3y= 57
the y term cancels out
19x= 38
divide both sides by 19
x= 2
STEP 3:
substitute the x value in step 2 to solve for y; you can use either original equation
-7x + y= -19
-7(2) + y= -19
-14 + y= -19
add 14 to both sides
y= -5
ANSWER: x= 2; y=-5
Hope this helps! :)
Answer:
Number of hours= 48 hours
Step-by-step explanation:
Giving the following information:
Hourly rate= $7.25
Total earned= $348
<u>To calculate the number of hours worked, we need to use the following formula:</u>
Total earned= hourly rate*number of hours
number of hours= total earned / hourly rate
number of hours= 348 / 7.25
number of hours= 48 hours
I do not know the last question but I know the first it is4 time I hope I am right
