20 boys signed up
# of girls who signed up was 195% of the number of boys who signed up
Find 195% of 20:
1.95 * 20 = 39
So 39 girls signed up.
To find out what percent of girls who signed up for the play attended the auditions, divide 26 to the total number of girls who signed up:
26 / 39 = 0.666666667
Multiply by 100:
0.666666667 * 100 = 66.6666667%
So approximately 66.67% or 66 2/3%
Answer:
8x - 3y = 12 _______( 1 )
5x = 2y + 7 _______( 2 )
On further solving ( 2 ), we get
5x - 2y = 7 _______( 3 )
Multiply ( 1 ) by 2
16x - 6y = 24 _______( 4 )
Multiply ( 3 ) by 3
15x - 6y = 21 _________( 5 )
Subtract ( 4 ) and ( 5 )
( 16x - 6y ) - ( 15x - 6y ) = 24 - 21
16x - 6y - 15x + 6y = 3
Put this in ( 2 )
5 ( 3 ) = 2y + 7
15 = 2y + 7
2y = 15 - 7
2y = 8
y = 8 / 2
Step-by-step explanation:
The equation for a circle with a center (-2, 8) and a radius of 9 will be (x + 2)² + (y − 8)² = 81.
<h3>What is an equation of a circle?</h3>
A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
Write an equation for a circle with a center (-2, 8) and a radius of 9.
Then the equation will be
(x + 2)² + (y − 8)² = 9²
(x + 2)² + (y − 8)² = 81
Learn more about the equation of a circle here:
brainly.com/question/10165274
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Answer: Smaller number = 6
Larger number = 20
Step-by-step explanation:
Let the smaller number be x.
Let the larger number be y.
Three times a larger number is 30 more than 5 times a smaller number. This will be:
3 × y = (5 × x) + 30
3y = 5x + 30 ...... i
The sum of the larger number and 5 times the smaller number is 50. This will be:
y + 5x = 50 ...... ii
From equation ii
y + 5x = 50.
y = 50 - 5x ...... iii
Put the value of y = 50 - 5x into equation i
3y = 5x + 30
3(50 - 5x) = 5x + 30
150 - 15x = 5x + 30
150 - 30 = 5x + 15x
120 = 20x
x = 120/20
x = 6
The smaller number is 6
Note that y + 5x = 50
y + 5(6) = 50
y + 30 = 50
y = 50 - 30
y = 20
The bigger number is 20
