Simplify the expression : 42x + 116
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Answer:
3 1/3 cups
Step-by-step explanation:
one and one half dozen = 1.5 * 12 = 18 cookies
18 cookies 90 cookies
---------------- = -------------
2/3 cup x cups
using cross products
18 * x = 2/3 * 90
18 x = 60
divide each side by 18
x = 60/18
divide top and bottom by 6
x = 10/3
change the improper fraction to a mixed number
3 goes into 10 3 times with 1 left over
x = 3 1/3 cups
Answer:
x < -5
Step-by-step explanation:
Distribute 4 to x and 10: 4x + 40 < 20
Subtract 40 from both sides: 4x < -20
Divide by 4: x < -5
The general equation of the circle is expressed as (x-h)2 + (y-k)2 = r2 where (h,k) is the center of the circle. we are are given the center of the circle at (0,0) so the expression is simplified to <span>(x)2 + (y)2 = r2. given the other point, r2 is equal to 41. hence the final equation is x2 + y2 = 41</span>
There are 30 kids in the class and 6 voted for Sunday which means that there is a 6/30 chance that the student picked Sunday or a 20% chance the kid picked Sunday.
