Answer:
130 calories in the ice cream and 500 calories in the pie.
Step-by-step explanation:
Let the amount of calories in the scoop of ice cream be x. the amount of calories in the piece of pie be 3x-20. we know that x+3x-20=500.
4x-20=500
If we add twenty to both sides, we end up with:
4x=520
Divide both sides by four, and you get x=130.
there are 130 calories in the scoop of ice cream and 130*4-20=500 calories in the pie.
Answer:
B. 0.12
Step-by-step explanation:
To obtain this probability, you need to multiply the two probabilities.. since it's comprised of two events: one that he's in the brass section, one that he plays trombone. The probably of him playing trombone only happens if he's in the brass section.
So, you have the possibility he's in the brass section: 0.50
The possibility he's playing trombone, if he's in the brass section: 0.24
P = 0.5 * 0.24 = 0.12
You can write two equations using the given information:
.. L = W +8
.. L * W = 609
Using substitution, you get a quadratic.
.. (W +8) * W = 609
.. W^2 +8W -609 = 0
Not surprisingly, you're looking for factors of 609 that differ by 8.
.. 609 = 1*609 = 3*203 = 7*87 = 21*29
The last two are the factors of interest.
.. (W +29)(W -21) = 0
The width of the rectangle is 21 feet, the length is 29 feet.
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Sometimes it is easier to work with the average dimension. Here, let that be x. Then you have
.. (x +4)(x -4) = 609
.. x^2 -16 = 609
.. x^2 = 625 = 25^2 . . . . . . . one of your memorized math facts
So, the dimensions are
.. 25 +4 = 29 by 25 -4 = 21, that is, 29 ft by 21 ft.
