Answer:
470 balls
Step-by-step explanation:
Let the number of tennis balls Kerns have be x and the number of tennis balls Hardy has be 3x. We want to find their difference: 3x-x = 2x
Total no. of balls = Kerns + Hardy
= x + 3x
= 4x
4x = 940
2x = 
× 940
= 470
Answer:
12, 6 and 30
Step-by-step explanation:
Step one:
given data
Number of medals = 48 medals
The given ratio is = 2:1:5
The total ratio is = 2+1+5= 8
Step two;
Applying the part to all method
for Gold we have
2/8=x//48
cross multiply
8x= 48*2
divide both sides by 8
x= 96/8
x= 12
gold is 12
for silver we have
1/8=x//48
cross multiply
8x= 48*1
divide both sides by 8
x= 48/8
x= 6
silver is 6
for bronze we have
5/8=x/48
cross multiply
8x= 48*5
divide both sides by 8
x= 240/8
x= 30
Bronze is 30
Answer:
x = (-29)/5
Step-by-step explanation:
Solve for x:
(2 (x - 5))/3 = (3 (x + 1))/2
Multiply both sides by 6:
(6×2 (x - 5))/3 = (6×3 (x + 1))/2
6/3 = (3×2)/3 = 2:
2×2 (x - 5) = (6×3 (x + 1))/2
6/2 = (2×3)/2 = 3:
2×2 (x - 5) = 3×3 (x + 1)
2×2 = 4:
4 (x - 5) = 3×3 (x + 1)
3×3 = 9:
4 (x - 5) = 9 (x + 1)
Expand out terms of the left hand side:
4 x - 20 = 9 (x + 1)
Expand out terms of the right hand side:
4 x - 20 = 9 x + 9
Subtract 9 x from both sides:
(4 x - 9 x) - 20 = (9 x - 9 x) + 9
4 x - 9 x = -5 x:
-5 x - 20 = (9 x - 9 x) + 9
9 x - 9 x = 0:
-5 x - 20 = 9
Add 20 to both sides:
(20 - 20) - 5 x = 20 + 9
20 - 20 = 0:
-5 x = 9 + 20
9 + 20 = 29:
-5 x = 29
Divide both sides of -5 x = 29 by -5:
(-5 x)/(-5) = 29/(-5)
(-5)/(-5) = 1:
x = 29/(-5)
Multiply numerator and denominator of 29/(-5) by -1:
Answer: x = (-29)/5
LM is 6.9 to 1dm and LM is 8
A ) A graph of the equation is in the attachment.
B ) The vertex
( 0, -10 )C ) The graph of y = x² is translated for 10 units down.
