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:
835
5 and up is rounded higher.
The rate at which his pulse is increasing after 3 minutes is 9.5 beats per minute
<h3>How to determine the beat rate after 3 minutes?</h3>
The given graph shows the curve and the tangent.
From tangent line, we have the following points:
(x,y) = (3,119) and (1,100)
The beat rate (m) at this point is:
So, we have:
Evaluate the differences
Evaluate the quotient
m = 9.5
Hence, the rate at which Sam's pulse is increasing after 3 minutes is 9.5 beats per minute
Read more about rates of tangent lines at:
brainly.com/question/6617153
#SPJ1
Answer:
3a^2 - 6b + 2ab
Step-by-step explanation:
Put all the like terms together
(4a^2 - a^2) - (7b + b) + 2ab
then simplify
(4a^2 - a^2) = 3a^2
(-7b + b) = -6b
then rewrite
3a^2 - 6b + 2ab
Answer:
D: 3(x + 5)(x + 5)
Step-by-step explanation:
Try multiplying the last answer choice (D); the result is 3(x^2 + 10x + 25), or
3(x + 5)(x + 5).
