Answer:
The total number of pupils and their teachers = 530
Step-by-step explanation:
No. of girls in the school = 280
The ratio boys to girls is 3:4 and that of teachers to girls is 1:7
∴ The ratio boys to girls is 3x : 4x where, 4x = 280
and The ratio of teachers to girls is x : 7x where, 7x = 280
4x = 280
= x
70 = x
So, the no. of girls in the school = 4x = 4(70) = 280 and the no. of boys in the school = 3x = 3(70) = 210
7x = 280
= x
40 = x
So, the no. of girls in the school = 7x = 7(40) = 280 and the no. of teachers in the school = x = 40
∴ The total number of pupils and their teachers = 280 + 210 + 40
= 530
8x-10=x+11
8x-x=11+10
7x=21
x=21/7
x=3
Answer:
1/5%
Step-by-step explanation:
Answer:
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Integration
Integration Rule [Fundamental Theorem of Calculus 1]:
Integration Property [Multiplied Constant]:
U-Substitution
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Integrate Pt. 1</u>
<em>Identify variables for u-substitution.</em>
- Set <em>u</em>:
- [<em>u</em>] Differentiate [Basic Power Rule, Derivative Properties]:
- [Bounds] Switch:
<u>Step 3: Integrate Pt. 2</u>
- [Integral] Rewrite [Integration Property - Multiplied Constant]:
- [Integral] U-Substitution:
- [Integral] Exponential Integration:
- Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:
- Simplify:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
1 horse → 5o mL
3 horses → 50 x 3 = 150 mL
1 sheep → 4L
15 sheep → 4 x 15 = 60 L - 60 000mL
1 chicken → 200 mL
12 chicken → 200 x 12 = 2400 mL
Total = 150 + 60 000 + 2400 = 62550mL or 62L and 550mL
Answer: 62L and 550mL