Seven multiplied by ten to the third power
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:
The area of a segment of a circle is the area of the corresponding sector of the circle <u>minus</u> the area of the corresponding triangle.
Step-by-step explanation:
We know area of segment of a circle is the area of the corresponding sector of the circle minus the area of the corresponding triangle.
Answer:
A
Step-by-step explanation:
The sum of the first n terms in a geometric sequence given the first term (a1) and the common ratio (r) is calculated through the equation,
<span>Sn </span>= (<span><span><span>a1</span>(1−<span>r^n</span>) / (</span><span>1−r)
Substituting the known terms,
Sn = (20)(1 - (1/4)^4)) / (1 - 1/4)
Sn = 26.5625
Thus, the sum of the first four terms is 26.5625. </span></span>
