Answer:
1. he took 8/12 for lunch, but 1/12 is left
2. she ate 2/5, but there's 4/15 left of the whole cake that is untouched
Step-by-step explanation:
i hope this helps, the wording is a little confusing to me tho
The quadrants in which all the coordinates given are located is; As explained below.
<h3>How to Identify Quadrants in coordinates?</h3>
1) (2, 4) is located in Quadrant I where both x and y-values are positive.
2) (0, -3) is located in Quadrant II where x - values are positive but y-values are negative.
3) (-1, 1/2) is located in Quadrant IV.
4) (-2 1/2, -7) is located in Quadrant III where x and y values are both negative.
5) (0, 6) is located in Quadrant I where both x and y-values are positive.
6) (-5, 0) is located in Quadrant IV where x is negative but y is positive.
Read more about Quadrant Coordinates at; brainly.com/question/863849
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Answer:
3/2
Step-by-step explanation:
The equation 3x-2y=4 can be written in the form of y=mx+c where m is the slope and c is the y intercept.
Therefore
2y=3x-4 and dividing both sides by 2 to have y at the LHS
y=3/2x-2
Therefore, 3/2 represents the gradient/slope
Answer:
18 hours for Dwight, 9 hours for Jake
Step-by-step explanation:
If J is the time it takes for Jake working alone, and D is the time it takes for Dwight working alone, then:
J = D − 9
Working together, Jake's speed plus Dwight's speed equals 1 cord per 6 hours.
1 / J + 1 / D = 1 / 6
Solve the system of equations by substituting for J:
1 / (D − 9) + 1 / D = 1 / 6
Multiply both sides by D − 9.
1 + (D − 9) / D = (D − 9) / 6
Multiply both sides by D:
D + D − 9 = D (D − 9) / 6
Simplify and solve:
2D − 9 = (D² − 9D) / 6
12D − 54 = D² − 9D
0 = D² − 21D + 54
0 = (D − 3) (D − 18)
D = 3 or 18
Since J = D − 9, D must be greater than 9. So D = 18 and J = 9.
That means it takes Dwight 18 hours working alone, and it takes Jake 9 hours working alone.
Answer:
x = 32 y = 16 z = 64
Step-by-step explanation:
x is the 1st number
y is the 2nd number
z is the 3rd number
The first number is twice the second number so
x = 2 y
The third number is twice the first number.
z = 2 x
Their sum is 112
x + y + z = 112
Plus in what we know:
x + y + z = 112
2 y + y + 2x = 112
3y + 2x = 112 Let's solve for y and subtract 2x from each side
3y = 112 - 2x Divide both sides by 3
y = 
Now plug our answer back in to solve for x.
x = 2y
x = 2 ( )
x = (224 - 4x) / 3 Multiply each side by 3.
3x = 224 - 4x Add 4x to each side
3x + 4x = 224
7x = 224 Divide each side by 7
7x / 7 = 224 / 7
x = 32
Now we can solve for z.
z = 2x
z = 2 ( 32 )
z = 64
Now we can solve for the numerical value of y.
x + y + z = 112
32 + y + 64 = 112
96 + y = 112 Subtract 96 from each side.
y = 112 - 96
y = 16
