Answer:
465
Step-by-step explanation:
Let the number of girls at the festival be--------- g
Let the number of boys at the festival be---------b
The conditions are;
2/7 g = 3/5 b ---------------(i)
g-b= 165 ---------------------(ii)---------make g the subject of the expression
g= 165 +b---------------------(iii)--------use this equation in (i)
2/7 (165 +b)= 3/5 b -------multiply both sides by 7
7*2/7(165+b) =3/5*7 b
2(165+b)=21/5 b ------multiply both sides by 5
5*2(165+b) = 21/5*5*b
10(165+b) = 21 b -------open brackets
1650 +10 b = 21 b------collect like terms
1650 = 21 b- 10 b
1650 = 11 b -----divide both sides by 11
1650/11 = 11b/11
150 = b = number of boys
Using equation (ii) where g-b =165 ; g-150 =165 , g= 165+150 =315 number of girls
Total number of children at the festival = 150+315 =465
Answer:
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Step-by-step explanation:
I JUST NEED POINTS
.4 is 10 times as much of 0.4
She would have 2 2/8 liters of paint left
The height of the canvas according to tangent is 14 inches.
According to the statement
we have given that the a rectangular canvas for his art project. its width must measure 20 inches and form a 35° angle with the diagonal of the canvas.
And we have to find the height of the canvas.
So, For this purpose,
The given information is:
The 35⁰ angle is part of a right triangle with a side of 20 inches. The tangent of this angle (35⁰) is equal to the opposite side, x, over the adjacent side (20 inches).
Tan (35⁰) = x/20
0.7002 = x/20
x = 14.004 inches.
For more understanding of the statement please see the image below.
So, The height of the canvas according to tangent is 14 inches.
Learn more about tangent here
brainly.com/question/17040970
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