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Below is the solution:
10:4 = 6:x
<span>10/4 = 6/x </span>
<span>10x = 24 </span>
<span>x = 2.4</span>
(f○g)(x)=√(7(x+8))
(f○g)(x)=√(7x+56)
Since there is no real square root of a negative value, the smallest value in the domain would make the radicand equal to zero. x=-8 is the smallest number in the domain of (f○g)(x)
Answer:
- trail mix: $1.25
- jelly beans: $3.50 per pound
Step-by-step explanation:
The difference between double the first purchase and the second purchase is $7 and 2 pounds of jelly beans. Hence a pound of jelly beans is $3.50.
(4t +8j) -2(2t +3j) = (33) -2(13) . . . . . let t and j represent pounds of trail mix and jelly beans, respectively
2j = 7 . . . . . . . . . . simplify
j = 7/2 = 3.50
Using that value in the first purchase, we get ...
2t +3(3.50) = 13
2t = 13 -10.50
t = 2.50/2 = 1.25
A pound of trail mix is $1.25.
Step-by-step explanation:
Remember that the sum of angles on a straight line are supplementary. (180°)
Therefore 3x + 2 + 6x - 20 = 180.
=> 9x - 18 = 180
=> 9x = 198
=> x = 22.
Answer:
2 5/6
Step-by-step explanation:
9 5/12 - 6 7/12
We will need to borrow from the 9
8 12/12 + 5/12 - 6 7/12
8 17/12 - 6 7/12
(8-6) + (17/12 -7/12)
2 10/12
This simplifies. Divide the top and bottom of the fraction by 2
2 5/6
