There are 3/4 as many boys as girls in a class of fifth-graders. If there are 35 students in the class, how many are girls?

Mathematics

1 answer:

oee [108]3 years ago

7 0

Known Facts:

3/4 as many boys as girls in a class
Five students in the class

Variables:

b: boys
g: girls

Let us set up some equations:

b + g = 35
b = (3/4)g

Now let us solve the equation:

b + g =35

(3/4)g + g = 35

(7/4)g = 35

g = 20

Therefore there are 20 girls in a class of 35!

Good day and I hope that helped!

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What kind of triangle would the measurements 7ft 15ft 17ft

devlian [24]

Answer:

This is an Obtuse triangle.

Step-by-step explanation:

A Equilateral Triangle is a triangle where all sides are equal. Here all sides are different so it is not an Equilateral Triangle.

Isosceles triangle is a triangle that has 2 sides that are equal. Here all sides are different therefore this is not an Isosceles triangle.

A right angled triangle is a triangle whose sides satisfy the following equality.

Lets say A triangle has sides a, b and c. Where c is the highest value.

Then, $a^{2} +b^{2} =c^{2}$

Lets substitute the values to the above equation to see whether it the triangle we are given satisfies the above equality,

$7^{2} +15^{2}$ = $49+225$ = $274$

$17^{2} =289$

Therefore, $7^{2} +15^{2}$ ≠ $17^{2}So it is not a Right Angled Triangle.If the sum of squares of the shorter sides is greater than the square of the longer side then it is an Acute angle if not it is an obtuse angle.[tex]7^{2} +15^{2}$ = $274$ ≤ $17^{2} =289$