32 times 24 is $768 which us how much they spent
Answer:
x= -10
Step-by-step explanation:
So because the angle 55 is part of the same line as one of the unknown angles you can do 180-55 to find that first angle at the top, which is 125.
Next add all three angles (125 + x + 35 + x + 40)=180
Combine the x values to get 2x and subtract the three values from 180
Then 2x= -20, x should be equal to -10
You can plug x back into the values and check your work by adding all the values again, making it all equal to 180 degrees again
Answer:
Number of bags of candy = 2
Number of bags of cookies = 7
Step-by-step explanation:
Let, number of bags of candy = X
So, Number of bags of cookies = X + 5
Cost of candy bag = $8
Cost of cookies bag = $2.5
Total sales = $33.50
So, Total cost of Candy Bags + Total cost of cookies bags = Total sales
= 8X + 2.5 ( X +5) = 33.50
= 8X + 2.5X + 12.5 = 33.50
= 10.5X = 33.50 - 12.5
= 10.5X = 21
X = 2
So, number of bags of candy = 2
Number of bags of cookies = 2 + 5 = 7
Multiply 2/3 by the reciprocal, 3/2, on both sides.
Answer:
Step-by-step explanation:
-2x + 3y – 4z = 8 ----------------(I)
5x – 3y + 5z = -8 -----------------(II)
7x – 3y + 3z = 8 ------------------(III)
Add equation (I) & (II) and thus y will be eliminated
(I) -2x + 3y – 4z = 8
(II) <u>5x – 3y + 5z = -8</u> {Add}
3x + z = 0 ------------------------(A)
Multiply equation (II) by (-1) and then add with equation (III). Thus y will be eliminated.
(II) * (-1) -5x + 3y - 5z = +8
<u>7x – 3y + 3z = 8</u> {Add}
2x -2z = 16 ---------------(B)
Multiply equation (A) by 2 and then add. Thus z will be eliminated and we will get the value of x
(A) * 2 6x + 2z = 0
(B) <u>2x - 2z = 16</u> {Add}
8x = 16
Divide both sides by 8
x = 16/8
x = 2
Plugin x = 2 in equation (A)
3x + z = 0
3*2 + z = 0
6 + z = 0
z = -6
Plug in x = 2 and z = - 6 in equation (I)
-2x +3y - 4z = 8
-2*2 + 3y - 4*(-6) = 8
-4 + 3y + 24 = 8
3y + 20 = 8
3y = 8 - 20
3y = -12
y = -12/3
y = -4
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