first let's name a couples of variable
• the number of adults tickets sold: a
• the number of children tickets sold: c
From the problem we know
a + c = 128
and
$5.40c + $9.20a = $976.20
1) solve the equation to alpha
a+c-c = 128 -c
a+0=128-c
a=128-c
2) substitute (128 - c) for a in the second equation and solve to c
$5.40c + $9.20a = $976.20 become
$5.40c + $9.20(128 - c) = $976.20
$5.40c + ($9.20 × 128) - ($9.20 - c) = $976.20
$5.40c - $9.20c + $ 1177.6 = $976.20
($5.40 - $9.20)c +$1177.6 = $976.20
-$3.80c + $1177.6 = $9.76.20
-$3.80c + $1177.60 - $1177.60 = $976.20 - $1177.60
-$8.30c + 0 = $201.40
-$3.80c = - $201.40
-$3.80c. -$201.40
________. = _________
-$3.80. -$3.80
-$3.80c. -$201.40
________. = _________. - they are 4 cut the no
-$3.80. -$3.80
c = $201.40
________
3.80
c = 53
The dimension of length is 93 feet and dimension of width is 62 feet.
Answer:
y=-1/2x+4 Is your answer
Step-by-step explanation:
y=mx+b
3=2x+4
-1=2x
x=-1/2
You already know y is 4 so y=-1/2x+4
Answer:
₹245 is the cost
Step-by-step explanation:
Given:
Cost of the fan = ₹1470
1/6th = 1470/1 × 1/6
(do not cross multiply and simplify)
= ₹245
The augmented matrix for the system can be written as ...
where the order of the variables is x, y, z, w. After subtracting the first row from the 3rd and 4th rows, this becomes ...
Then subtracting twice the second row from the third, you have ...
The 4th row tells you w = 0.
The third row tells you z = -3/-6 = 1/2.
Substituting these values into the equation for y gives y +6/2 +0 = 3, so y = 0.
Finally, substituting into the equation for x, we get x +0 +5/2 = -2, so x = -9/2.
The solution is (x, y, z, w) = (-9/2, 0, 1/2, 0).