Kyle works at a donut factory, where a 10-oz cup of coffee costs 95cents, a 14-oz cup costs $1.15, and a 20-oz cup costs $1.50. during one busy period, kyle served 29 cups of coffee, using 414 ounces of coffee, while collecting a total of $34.05. how many cups of each size did kyle fill?

10Oz = 7 , 14Oz = 16, 20 OZ = 6

Step-by-step explanation:

There three equations that can be made here based on given data

Let number of 10 Oz cup be  x

Let number of 14 Oz cup be y

Let number of 20 Oz cube be z

we can see that

x+y+z=29    (i)

.95x + 1.15y + 1.5z = 34.05   (ii)

10x+ 14y + 20z = 414 (iiI)

We can solve these equations together to get the value of x and y and z  (Done through calculator 3 variable equation function)

x= 7

y=16

z=6

46.2+112.3

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.