7.5a+3c=663
a+c=113
Write a literal equation for c using the second equation.
c=-a+113
Substitute the value of c into the first equation
7.5a+3(-a+113)= 663
7.5a-3a+339=663
4.5a+339=663
4.5a=324
a=72
Final answer: 72 adult tickets sold
Check by finding the value of c and plugging both values in
(72)+c=113
c=41
7.5(72)+3(41)
663
True
Put the numbers in order from smallest to largest:
21,34,45,53,71,88
Since there are an even amount of numbers you must take the middle two and find the average(add them together then divide by 2)
45+53=98
98/2=49
Step-by-step explanation:
Down 2 units : we will move the point 2 units to the down direction of the vertical line (y-axis)
which means (x ,y-2) = (-2,1)
right 3 units = we will move the point 3 units to the right direction of the horizontal line (x axis )
(x+3,y)= (1,3)
up 1 unit and left 4 units : we will move the point 1 unit in the up direction of the vertical line (y-axis)
and move it 4 units in the left direction of the horizontal line (x axis )
(x-4,y+1l. = (-6,4)
9514 1404 393
Answer:
A. 3/8 ft
B. width would decrease
Step-by-step explanation:
A. The area of a rectangle is given by the formula ...
A = LW
Solving for W, we find ...
W = A/L . . . . . width is inversely proportional to length for the same area
Using the given dimensions, we find the width to be ...
W = (3/10 ft²)/(4/5 ft) = (3/10)(5/4) ft
W = 3/8 ft
The width of the card is 3/8 ft.
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B. Width is inversely proportional to length for the same area, so an increase in length would result in a decrease of width.