Answer:
(120 * 32) + 160,500
Step-by-step explanation:
Brainliest!
First, you have to set up two equations.
X + y = 45
18x + 24y = 1,050
To do this, you have to solve for an exponent by cancelling out the other one. To solve for y, you multiply everything in the first equation by -18.
-18x -18y = -810
This cancels out the x and leaves you with 6y = 240. Divide both sides by 6 and you have the number of Yankee hats that were bought.
Then, you have to substitute 40 for y in the first equation and solve for x.
Answer:
d+d+1+d+5+4+12+24/6
Step-by-step explanation:
add the numbers and divide them by 6
Answer:
The three numbers are 56/5, -39/5 and 78/5.
Step-by-step explanation:
EQUATION 1:
First number: x
Second number: y
Third number: z
x + y + z = 19
EQUATION 2:
Sum of following is 77
Twice the first number: 2x
5 times the second number: 5y
6 times the third number: 6z
So, 2x + 5y + 6z = 77
EQUATION 3:
Difference between first and second number is 19.
x - y = 19
Equation 1: x + y + z = 19
Equation 2: 2x + 5y + 6z = 77
Equation 3: x - y = 19
1. Find x in terms of y
x - y = 19
x = 19 + y
2. Find y in terms of z by putting the value of x in first and second equation
x + y + z = 19
(19 + y)+ y + z = 19
2y + z = 19 - 19
2y + z = 0
y = -z/2
and
2(19+y)+5y+6z=77
now putting the value of y in this equation
2(19-z/2)+5(-z/2)+6z=77
38 - z -5z/2 +6z = 77
5z/2 + 38 = 77
5z/2 = 39
z = 78/5
Now, y = -z/2
y = (-78/5)/2
y = -39/5
and x = 19 + y
x = 19 - 39/5
x = 56/5
Therefore, the three numbers are 56/5, -39/5 and 78/5.
Keyword: Sum
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