Answer: $2/child and $4/adult
Step-by-step explanation:
The total fare is $14 for 2 adults and 3 children
x is the child's fare
y is the adults fare
We can say:
1) 3x + 2y = $14
2) We are told that x = (1/2)y [each child's fare is 1/2 each adult's fare]
3) use (2) in (1)
3x + 2y = $14
3(1/2)y + 2y = $14
(3/2)y + 2y = $14
(7/2)y = $14
y = ($14)*(2/7)
y = $4/adult
x = (1/2)y; x = (1/2)(4)
x = $2/child
Check: Does 3x + 2y = $14 when x = $2/child and y = $4/adult?
3x + 2y = $14
3($2/child) + 2($4/adult) = $14
$6 + $8 = $14 YES
Answer:
Step-by-step explanation: 21/25
Chances of drawing a boy the first time = 12/16.
<span>Chances of drawing a boy the second time = 11/15. </span>
<span>Chances of drawing a boy the third time = 10/14. </span>
<span>(12/16)(11/15)(10/14) = about 39.3%.</span>
Answer:
<h2>
2.45</h2>
Step-by-step explanation:
Given f(x)=√x+1 and g(x)=3+√x, to calculate for (f∘g)(4), first we need to get the function (f∘g)(x).
(f∘g)(x). = f{g(x)}
since g(x) =3+√x, then;
f{g(x)} = f(3+√x)
If f(x) = √x+1
f(3+√x) can be gotten by simply replacing x with 3+√x in f(x)
f(3+√x) = √(3+√x)+1
f{g(x)} = √(3+√x)+1
f{g(4)} can be gotten by substituting x = 4 into the resulting function above.
f{g(4)} = √(3+√4)+1
f{g(4)} = √(3+2)+1
f{g(4)} = √5+1
f{g(4)} = √6
f{g(4)} = 2.449 ≈ 2.45 to two decimal places.
Hence, (f∘g)(4) for the functions to two decimal places is 2.45
