26
3<span>⟌78
-6
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18
-18
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0
</span>
Answer:
Sarah bought 7 coach tickets and 4 first class tickets.
Step-by-step explanation:
From the information provided, you can write the following equations:
x+y=11 (1)
240x+1100y=6080 (2), where:
x is the number of coach tickets
y is the number of first class tickets
In order to find the value of x and y, first you have to solve for x in (1):
x=11-y (3)
Now, you have to replace (3) in (2) and solve for y:
240(11-y)+1100y=6080
2640-240y+1100y=6080
860y=6080-2640
860y=3440
y=3440/860
y=4
Finally, you can replace the value of y in (3) to find the value of x:
x=11-y
x=11-4
x=7
According to this, the answer is that Sarah bought 7 coach tickets and 4 first class tickets.
Answer:
A = 100 pi cm^2
Step-by-step explanation:
A = pi(r^2)
A = pi(10^2)
A = pi(100)
A = 314.16 '
Convert to pi units.
314.16 ---> 100pi cm^2
Prob of tails times prob of rolling more than 3
0.5 × 0.5 = 0.25
25%
Answer:
Step-by-step explanation:
Area of a trapezium is the average of the parallel sides times the distance between them.
If we subtract 15 units from each of the parallel sides, we end up with a triangle that has two sides of 8 units and one of 10 units. One of the 8 unit sides is the base and we need to find the height h which is perpendicular to this base.
Let the base be split into two segments, call one A, the other will be 8 - A
From Pythagoras.
10² - A² = h² = 8² - (8 - A)²
10² - A² = 8² - (8 - A)²
100 - A² = 64 - (64 - 16A + A²)
100 - A² = 64 - 64 + 16A - A²
100 = 16A
A = 6.25
h = √(10² - 6.25²)
h = √60.9375
A = ½(15 + 23)√60.9375
A = 148.31870246... ≈ 148.3 cm²
