Y=2x-6 (4, 3)
(X, Y)
3=2(4)+b
3=8+b
-5=b
Y=2x-5
Answer:
x = 10
Step-by-step explanation:
Solve for x:
-8 (8 - x) = (4 (x + 10))/5
Multiply both sides by 5:
-8×5 (8 - x) = (5×4 (x + 10))/5
(5×4 (x + 10))/5 = 5/5×4 (x + 10) = 4 (x + 10):
-8×5 (8 - x) = 4 (x + 10)
5 (-8) = -40:
-40 (8 - x) = 4 (x + 10)
Expand out terms of the left hand side:
40 x - 320 = 4 (x + 10)
Expand out terms of the right hand side:
40 x - 320 = 4 x + 40
Subtract 4 x from both sides:
(40 x - 4 x) - 320 = (4 x - 4 x) + 40
40 x - 4 x = 36 x:
36 x - 320 = (4 x - 4 x) + 40
4 x - 4 x = 0:
36 x - 320 = 40
Add 320 to both sides:
36 x + (320 - 320) = 320 + 40
320 - 320 = 0:
36 x = 40 + 320
40 + 320 = 360:
36 x = 360
Divide both sides of 36 x = 360 by 36:
(36 x)/36 = 360/36
36/36 = 1:
x = 360/36
The gcd of 360 and 36 is 36, so 360/36 = (36×10)/(36×1) = 36/36×10 = 10:
Answer: x = 10
Answer:
1) 5 : 7 : 8.75
2) Happy = 168 . Juma = 210
3) Rima = 17800 . Happy = 24920 . Juma = 31150
Step-by-step explanation:
1) 5 : 7 : 8.75
Ratio Rima to Happy = 5:7
Ratio Happy to Juma = 4:5
7/4 = 1.75
1.75 x 5 = 8.75
Ratio = 5 : 7 : 8.75
2) Happy = 168 . Juma = 210
Ratio = 5 : 7 : 8.5
120 / 5 = 24
Happy = 24 x 7 = 168
Juma = 24 x 8.75 = 210
3)17800 : 24920 : 31150
5 + 7 + 8.75 = 20.75
73870 / 20.75 = 3560
3560 * 5 = 17800 = Rima
3560 * 7 = 24920 = Happy
3560 * 8.75 = 31150 = Juma
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-Chetan K
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Answer:
n(B) = 4
Step-by-step explanation:
There are four (4) elements in set B.
n(B) = 4