Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Answer:
Perpendicular is the direction of a surface wave
Step-by-step explanation:
Answer:
x = 8
y = -7
Step-by-step explanation:
This is a system of equations called simultaneous equations. We shall solve it by elimination method Step 1We shall label the equations (1) and (2)−3y−4x=−11.....(1)3y−5x=−61......(2)Step 2Multiply each term in equation (1) by 1 to give equation (3)1(-3y-4x=-11).....(1)-3y-4x=-11....(3)Step 3Multiply each term in equation 2 by -1 to give equation (4)-1(3y−5x=−61)......(2)-3y+5x=61.....(4)Step 4-3y-4x=-11....(3)-3y+5x=61.....(4)Subtract each term in equation (3) from each term in equation (4)-3y-(-3y)+5x-(-4x)=61-(-11)-3y+3y+5x+4x=61+110+9x=729x=72Step 5Divide both sides of the equation by 9, the coefficient of the unknown variable x to find the value of x 9x/9 = 72/9x = 8Step 6Put in x = 8 into equation (2)3y−5x=−61......(2)3y-5(8)=-613y-40=-61Collect like terms by adding 40 to both sides of the equation 3y-40+40=-61+403y=-21Divide both sides by 3, the coefficient of y to find the value of y 3y/3=-21/3y=-7Therefore, the values of x and y that satisfy the equations are 8 and -7 respectively
Answer:
The simplified form of expression<u> </u>(-2 - 8x) + (-4x - 10) is
-12(x + 1)
Step-by-step explanation:
It is given an expression (-2 - 8x) + (-4x - 10)
<u>To find the simplified expression of (-2 - 8x) + (-4x - 10)</u>
Let expression is given by
(-2 - 8x) + (-4x - 10) = -2 - 8x -4x -10
= -2 -10 -4x -8x
= -12 -12x
-12(x + 1) (since -12 is common in both terms)
Therefore simplified form is -12(x + 1)
Answer: 49/60
Step-by-step explanation:
(1/3+2/5)-1/4-(5/6-7/6)
Primero (5/6-7/6)
5/6-7/6=-2/6
1/3+2/5-1/4-(-2/6)
1/3+2/5-1/4+2/6
2/6=1/3
1/3+2/5-1/4+1/3
2/3+2/5-1/4
2/3=10/15
2/5=6/15
10/15+6/15-1/4
16/15-1/4
16/15=64/60
1/4=15/60
64/60-15/60=49/60
