X=number of boys.
y=number of girls.
we suggest this system of equation
x/y=9/7
x=y+116
We solve this system of equation by substitution method.
(y+116)/y=9/7
7(y+116)=9y
7y+812=9y
9y-7y=812
2y=812
y=812/2=406
x=y+116
x=406+116=522
answer: At the school there are 522 boys and 406 girls.
to chek.
522/406=1.2857...
9/7=1.2857...
The number of boys (522) is equal to 406+116=522.
The slope of the smaller triangle is 5/4 (5 over 4)
The slope of the larger triangle is 10/8 (10 over 8)
They are equal as 10/8 can be reduced to 5/4
Answer:
The correct option is D.
Step-by-step explanation:
The given equation is
According to the addition property of equality 
and 
are equivalent equations.
Use addition property of equality, add 3x on both the sides.
Therefore Sam's work is incorrect because he make calculation mistake.
According to the subtraction property of equality and 
are equivalent equations.
Use subtraction property of equality, subtract 5x from both the sides.
Therefore Roy's work is correct because he used subtraction property.
Option D is correct.
It’s 3.2812 then round u get 3.3012
Answer: B. 25.2 units
Step-by-step explanation:
The kite consists of 4 right angle triangles. The two smaller right angles are equal. Also, the two bigger right angles are equal.
To determine the hypotenuse of each triangle, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Considering the smaller triangle,
Hypotenuse² = 4² + 3² = 16 + 9 = 25
Hypotenuse = √25 = 5
Considering the smaller triangle,
Hypotenuse² = 7² + 3² = 49 + 9 = 58
Hypotenuse = √58 = 7.616
The perimeter of the kite is the sum of the length of each side. Therefore,
Perimeter = 5 + 5 + 7.616 + 7.616 = 25.2 units to the nearest tenth
