Answer:
72
Step-by-step explanation:
for the rectangles you use the formula :
a=lw 3x6=18x2=36 + 4x6=24
and for the triangles you use:
a=1/2bh 3x4=12/2 + 3x4=12/2
then you add it all together
36+24+12=72
This will be solved by solving for x first. Firstly you multiply the top equation by 2 and the bottom by -3. This will change both equation to (top)-10x+6y=-54 and (bottom) 27x-6y=-57. Now when you add the factors the y-values cancel out leaving you with; 17x=-3. now you have to divide by 17 on both sides giving you x=-0.17647058823 (not the prettiest solution but you can round if you want to). After that pick an equation to solve for y (I'm picking the top); the equation will be 5(-0.17647058823)+3y=-27. multiply the negative decimal and 5 to get -0.88235294117 (again not the prettiest). Add that to both sides which will give you 3y=-26.1176470588. After this divide both sides by 3 which will give you y=-8.70588235294. Your answer is (-0.17647058823,-8.70588235294) You can divide to the second or third decimal if needed-----remember that as you round from left to right on a decimal if it's below five you leave it and if it's above 5 then round up 1. I hope this help :)
Answer:
3,833 for $28
2167 for $40
Step-by-step explanation:
Let X be the number of tickets sold at the price of $24, And Y be the number of tickets sold at the price of $40.
Now, $ 28X will be the revenue generated due to the $28 tickets
And, $40Y will be the revenue generated due to the 40$ tickets.
Now, Total revenue generated should be $194400.
Thus , 28X + 40Y = 194400 -(1).
Also,
Total number of seats in theater is 6000.
So, X + Y = 6000. -(2)
X = 6000 - Y.
Put in equation 1
We get , 168,000 - 28Y + 40Y = 194,400
12Y = 26,000
Y = 2,166.66
Since , Y is of 40 $ so minimum tickets sold should be 2167.
X = 3,833.
1: 4.5 ft by 6 ft
2: 27 sq. ft.
First, just multiply 3 and 4 by 1.5 to convert inches to feet using the scale. You end up with 3*1.5 and 4*1.5, which equals 4.5 and 6. So the dimensions are 4.5 feet by 6 feet.
Now, just multiply 4.5 by 6 to get 27 square feet.
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Answer:
180
Step-by-step explanation:
total ratio is 15
gallons of red =
gallons of yellow
gallons of blue
total =144+30+6
=180
