A : B : C = 5 : 8 : 10
A+ B = 5x + 8x = 13x
13x - 10x = 60
3x = 60
x = 20
Total = 5x + 8x + 10x = 23x
23x = 23(20) = 460 <========= answer
9. ¹/₃(x + 6) = 8
¹/₃(x) + ¹/₃(6) = 8
¹/₃x + 2 = 8
<u> - 2 - 2</u>
3 · ¹/₃x = 6 · 3
x = 18
15. ¹/₅(x + 10) = 6
¹/₅(x) + ¹/₅(10) = 6
¹/₅x + 2 = 6
<u> - 2 - 2</u>
5 · ¹/₅x = 4 · 5
x = 20
20. ¹/₈(24x + 32) = 10
¹/₈(24x) + ¹/₈(32) = 10
3x + 4 = 10
<u> - 4 - 4</u>
<u>3x</u> = <u>6</u>
3 3
x = 2
32. 5 - ¹/₂(x - 6) = 4
5 - ¹/₂(x) - ¹/₂(-6) = 4
5 - ¹/₂x + 3 = 4
5 + 3 - ¹/₂x = 4
8 - ¹/₂x = 4
<u>- 8 - 8</u>
-2 · (-¹/₂x) = -4 · (-2)
x = 8
33. ²/₃(3x - 6) = 3
²/₃(3x) - ²/₃(6) = 3
2x - 4 = 3
<u> + 4 + 4</u>
<u>2x</u> = <u>7</u>
2 2
x = 3¹/₂
40. Let C be the total number of cupcakes. Then 2/3 x C + 1/6 x C = 200.
Combining , 5/6 x C = 200. So C = 240.
240–200= 40
There were 5 adult tickets and 3 student tickets
Step-by-step explanation:
Let x be the number of adult tickets
and
y be the number of student tickets
Then according to given statements
From Eqn 1:
x = 8-y
Putting in equation 2
Dividing both sides by -1.75
Putting y = 3 in equation 1
There were 5 adult tickets and 3 student tickets
Keywords: Linear equations, variables
Learn more about linear equations at:
#LearnwithBrainly
Answer:
(c) Pi/4
Step-by-step explanation:
3pi/4 = (3 x 180) / 4 = 135 degrees
135 degrees is equivalent to (180 degrees - 135 degrees) 45 degrees
45 degrees = Pi/4
Therefore, the reference angle of 3pi/4 is Pi/4
Thus, the correct option is (c) Pi/4