159 children and 351 adults swam at the public pool that day.
Step-by-step explanation:
Total people = 510
Total receipts worth = $1116.00
Cost for one child = $1.50
Cost for one adult = $2.50
Let,
x be the number of children.
y be the number of adults.
According to given statement;
x+y=510 Eqn 1
1.50x+2.50y=1116.00 Eqn 2
Multiplying Eqn 1 by 1.50
![1.50(x+y=510)\\1.50x+1.50y=765\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=1.50%28x%2By%3D510%29%5C%5C1.50x%2B1.50y%3D765%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 3 from Eqn 2;
![(1.50x+2.50y)-(1.50x+1.50y)=1116.00-765\\ 1.50x+2.50y-1.50x-1.50y=351\\1.00y=351\\y=351](https://tex.z-dn.net/?f=%281.50x%2B2.50y%29-%281.50x%2B1.50y%29%3D1116.00-765%5C%5C%201.50x%2B2.50y-1.50x-1.50y%3D351%5C%5C1.00y%3D351%5C%5Cy%3D351)
Putting y=351 in Eqn 1
![x+351=510\\x=510-351\\x=159](https://tex.z-dn.net/?f=x%2B351%3D510%5C%5Cx%3D510-351%5C%5Cx%3D159)
159 children and 351 adults swam at the public pool that day.
Keywords: linear equations, subtraction
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Answer:
road
Step-by-step explanation:
Answer:
they are all true they are just expressed different
Step-by-step explanation:
Answer:
1. 617.5 cm³
2. 335.6 in³
3. 151.6 m³
4. 3479.1 ft³
Step-by-step explanation:
1.
B1: 19.5 × 9 = 175.5
B2: 6 × 13 = 78
sqrt(B1 ×B2) = 117
h = 5
Volume = ⅓ × 5 × [175.5 + 78 + 117]
617.5
2.
B1: 3.14 × 4.5² = 63.585
B2: 3.14 × 3² = 28.26
sqrt(B1 ×B2) = 42.39
h = 7.5
Volume = ⅓ × 7.5 × [63.585 + 28.26 + 42.39]
335.5875
3.
B1: ½(8+12) × 6 = 60
B2: ½(3+4.5) × 2.25 = 8.4375
sqrt(B1 ×B2) = 22.5
h = 5
Volume = ⅓ × 5 × [60 + 8.4364 + 22.5]
151.5625
4.
B1: 3.14 × 12² = 452.16
B2: 3.14 × 7² = 153.86
sqrt(B1 ×B2) = 263.76
h² = 13² - (12-7)²
h² = 13² - 5²
h² = 144
h = 12
Volume = ⅓ × 12 × [452.16 + 153.86 + 263.76]
3479.12
9 down 3 rt 4 rt 8 up 4 rt 5 down 8 down 9 (= 50)