Answer:
Step-by-step explanation:
If you look at the numbers you are given, you see that the first purchase has 3 more adult tickets than the second purchase, and its cost is £24 more. This means an adult ticket costs £24/3 = £8.
Two adult tickets will cost 2×£8 = £16, so three child tickets cost ...
£31 -16 = £15
Each child ticket is then £15/3 = £5.
An adult ticket costs £8; a child ticket costs £5.
Answer:
x = -1
Step-by-step explanation:
8x = - 4(x + 3)
8x = -4x - 12
+4x +4x
<u>12x = -12</u>
12 12
x = -1
- Remember, a negative times a positive equals a negative
- Remember, a negative divided by a positive equals a negative
Hope this helps you!!! :)
Answer: 1 in 18
This is the same as writing the fraction 1/18
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Explanation:
Since she has 36 marbles total, and the probability of picking green is 1 in 2, this means (1/2)*36 = 18 marbles are green.
Then she also has (1/3)*36 = 12 red marbles and (1/9)*36 = 4 blue marbles.
So far, that accounts for 18+12+4 = 34 marbles in all. That leaves 36-4 = 2 marbles left over that must be black, as it's the only color left.
From that, the probability of choosing a black marble is 2/36 = 1/18.
There's a 1 in 18 chance of Maddy picking a black marble.
1/18 = 0.0556 = 5.56% approximately
Answer:
45/3 or 15 simplified
Step-by-step explanation:
so b. 15
Answer:
Step-by-step explanation:
1. Blue region. The boundary blue line passes through the points (0,-7) and (3,8), then its equation is
This line is solid, so the sign for the inequality should be with the notion "or equal to".
From the diagram you can see that the origin belongs to the blue region, then its coordinates satisfy the inequality. Thus,
2. Green region. The boundary green line passes through the points (6,-1) and (0,3), then its equation is
This line is solid, so the sign for the inequality also should be with the notion "or equal to".
From the diagram you can see that the origin doesn't belong to the blue region, then its coordinates satisfy the inequality. Thus,
3. The system of linear inequalities that represents these graphs is
