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3 years ago

4/7 of students at a school are boys. If there are 2723 students at the school, how many are girls?

2 answers:

8 0

Answer: 1167 girls.

Step-by-step explanation:

Given : Fraction of students at a school are boys= $\dfrac{4}{7}$

If there are 2723 students at the school, then by using multiplication operation.

The number of boys in the school= $\dfrac{4}{7}\times2723$

$=1556$

Now, the number of girls in school= Total students- Number of boys

=2723-1556=1167

Hence, there are 1167 girls.

zloy xaker [14]3 years ago

6 0

4/7= 0.571
2723 x 0.571= 1554

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puteri [66]

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$\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

General Formulas and Concepts:

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Area of a Rectangle: A = lw

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Derivatives

Derivative Notation

Implicit Differentiation

Differentiation with respect to time

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

Step 1: Define

$\displaystyle l = 10 \ meters$

$\displaystyle \frac{dl}{dt} = 4 \ m/day$

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Step 2: Differentiate

[Area of Rectangle] Product Rule: $\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}$

Step 3: Solve

[Rate] Substitute in variables [Derivative]: $\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)$
[Rate] Multiply: $\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day$
[Rate] Add: $\displaystyle \frac{dA}{dt} = 102 \ m^2/day$