Sample space = {s1, s2, s3, s4, m1, m2, m3, m4, l1, l2, l3, l4, s1234, s123, s124, s12, s13, s14, s23, s24, s34, m1234, m123, m12, m13, m14, m23, m24, m34, l1234, l123, l12, l13, l14, l23, l24, l34}
total with one topping = 12
s - small
m - medium
l - large
1 - pepperoni
2 - sausage
3 - green pepper
4 - mushroom
n + n - 0.18n
We can rewrite it as
2n - 0.18n
And if we solve it
(2 - 0.18)n = 1.82n
So the equivalente expression is B.
Answer:
41 1/4
Step-by-step explanation:
Change 16 1/2 to a mixed number
16 1/2 = (2*16+1)/2 = 33/2
Change 2 1/2 to a mixed number = (2*2+1)/2 = 5/2
Multiply the turns per inch by the inches
33/2 * 5/2 =165/4
Change this back to a mixed number
4 goes into 165 41 times
41*4 = 164 there is 1 left over
41 1/4
(2x²<span> + 3x - 4) + (8 - 3x) + (-5x</span>²<span> + 2)
= </span> 2x² + 3x - 4 + 8 - 3x - 5x² + 2
= -3x² + 6
= 3(-x² + 2)
Answer:
large = 18 3/4 = 18.75
small = 13/2 = 6 1/2 = 6.5
Step-by-step explanation:
Let l = the weight of large boxes
s = weight of small boxes
2 large and 3 small weights 57
2l+3s = 57
6 large and 5 small wights 145
6l+5s = 145
Multiply the first equation by 3
3(2l+3s) = 57*3
6l +9s =171
Subtract the second equation
6l +9s =171
-6l -5s = -145
-----------------------
4s =26
Divide each side by 4
4s/4 = 26/4
s = 26/4 = 13/2
Substitute this into the first equation
2l +3s = 57
2l + 3(13/2) =57
Multiply by 2 to get rid of the fractions
2(2l + 3(13/2)) =57*2
4l + 39 = 114
Subtract 39 from each side
4l +39-39 = 114-39
4l =75
Divide by 4
4l/4 = 75/4
l = 75/4 = 18 3/4
