9514 1404 393
Answer:
Step-by-step explanation:
The total number of students (32) corresponds to the total number of ratio units (3+5 = 8), so each ratio unit represents 32/8 = 4 students.
The 3 ratio units representing boys will stand for 3×4 = 12 boys.
The 5 ratio units representing girls will stand for 5×4 = 20 girls.
There are 12 boys and 20 girls in Janice's classroom.
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<em>Additional comment</em>
I find the above solution to be the easiest.
You can also write a system of equations. Let b and g represent the numbers of boys and girls, respectively.
b/g = 3/5
b +g = 32
Multiplying the first equation by g gives an expression for b that can be substituted into the second equation:
b = (3/5)g
(3/5)g +g = 32
8/5g = 32 . . . . . . . . . . . . . . . . . collect terms
g = (5/8)(32) = 5·4 = 20 . . . . . . multiply by 5/8
b = (3/5)(20) = 3·4 = 12 . . . . . . . find b using the value of g
Answer:
18.05 g
Step-by-step explanation:
The multiplier of the initial quantity is ...
(1/2)^(t/1690)
so, for t=250, this becomes ...
(1/2)^(250/1690) ≈ 0.902545
Then the quantity remaining of the initial 20 g is ...
(20 g)(0.902545) ≈ 18.05 g
Answer:
3 and 28
Step-by-step explanation:
note (
)(x ) = 
= 
and
( )(4) = 
= 
= 
= 3
-------------------------------------------------------
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= x² + 2x - 3 + x² - 9 = 2x² + 2x - 12 and
(f + g)(4) = 2(4)² + 2(4) - 12 = 2(16) + 8 - 12 = 32 + 8 - 12 = 28
Answer:
Step-by-step explanation:
Multiply the numbers on each face 5×7, 6×7, 6×4÷2 (for the triangle) remember that there are 2 of each of the faces so the answer to 5×7 multiply that by 2 to get both faces
Answer:
0.5
Step-by-step explanation:
The formula for circumference is:
pi * d
3.14 = 3.14*d
1 = d
Since the radius is 1/2 of diameter, r = 0.5
