Number of child tickets: x
Number of adult tickets: y
1) x+y=370
2) 3x+7y=1750
Using the method of substitution
a) Isolating y in the first equation:
1) x+y=370→x+y-x=370-x→y=370-x
b) Replacing y=370-x in the second equation:
2) 3x+7y=1750→3x+7(370-x)=1750
c) Solving for x: Distributive property:
3x+7(370)-7x=1750
3x+2590-7x=1750
Adding similar terms:
-4x+2590=1750
-4x+2590-2590=1750-2590
-4x=-840
Dividing both sides of the equation by -4:
-4x/(-4)=-840/(-4)
x=210
Replacing x=210 in the first equation:
1) y=370-x→y=370-210→y=160
Answer:
The number of child tickets was 210 and
the number of adult tickets was 160
Answer:
The Inequality describing the situation is .
Step-by-step explanation:
Let the number of laps he runs be
Let the number of laps he swims be
Now Given:
Time required to run each lap = 3 min
Time required to swim each lap = 2 min
Total minutes he need to exercise more than 45
we need to write the Inequality representing the same.
Solution:
Now we can say that;
Time required to run each lap multiplied by the number of laps he runs plus Time required to swim each lap multiplied by the number of laps he swims should be greater than Total minutes he need to exercise.
framing in equation form we get;
Hence The Inequality describing the situation is .
The number of outcomes possible from flipping each coin is 2, therefore;
- The expression that can be used to find the number of outcomes for flipping 4 coins is: 2•2•2•2
<h3>How can the expression for the number of combinations be found?</h3>
The possible outcome of flipping 4 coins is given by the sum of the possible combinations of outcomes as follows;
The number of possible outcome from flipping the first coin = 2 (heads or tails)
The outcomes from flipping the second coin = 2
The outcome from flipping the third coin = 2
The outcome from flipping the fourth coin = 2
The combined outcome is therefore;
Outcome from flipping the 4 coins = 2 × 2 × 2 × 2
The correct option is therefore;
Learn more about finding the number of combinations of items here:
brainly.com/question/4658834
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Can you post a picture please!
Slope of AB = 1/3 and slope of BC = -3 so these 2 lines are perpendicular
The same is true for all the other adjjacent pairs of lines.
Oppoitse lines are also paralllel ( slope of AB = 1/3 and slope of DC = 1/3) and other pair are both of slope -3.
So Its C