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babunello [35]
2 years ago
6

In a nursery class of 18 pupils, the average is 4

title=" \frac{1}{2} " alt=" \frac{1}{2} " align="absmiddle" class="latex-formula">
years. What is the sum of the ages of pupils?​
Mathematics
2 answers:
Alisiya [41]2 years ago
6 0

Answer:

The sum of ages of all 18 pupils in the class = 81

Step-by-step explanation:

Total number of pupil in the class =  18

Average of years in the class = 4\frac{1}{2}

Now, 4\frac{1}{2}  = 4 + \frac{1}{2}  = 4 + 0.5 = 4.5

⇒Average of sum of ages  in the class = 4.05

Let us assume the sum of ages of all students in the class = m

By the formula for AVERAGE:

\textrm{Average of n obseravtions}  = \frac{\textrm{Sum of n observations}}{\textrm{n}}

\implies 4.5 = \frac{m}{18}

or, m =  18 x 4.5 = 81

Hence, the sum of ages of all 18 pupils in the class = 81

nata0808 [166]2 years ago
3 0

Answer:

81

Step-by-step explanation:

Average = 4.5 years

Total = 18

Sum = 4.5 × 18 = 81

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Alchen [17]

Answer:

The amount driven would be 275, and the cost for both plans will be 77.75$

Step-by-step explanation:

make both equations

y=0.09x+53

y=0.13x+42

set them equal to each other and solve for x to get the distance

take that number and put it in one equation and solve for y to get the price of the plan for that value

6 0
2 years ago
A family buys 6 airline tickets online. The family buys travel insurance that costs $18 per ticket. The
Flauer [41]

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4 0
2 years ago
If f(x)=x^2+3x+5 what is f(3+h) ?
andriy [413]
F(x)=x^2+3x+5
f(3+h)=(3+h)^2+3(3+h)+5
f(3+h)=9+6h+h^2+9+3h+5
f(3+h)=23+9h+h^2
7 0
3 years ago
Read 2 more answers
|3x-7|-7=x solve the equation for all values of x
romanna [79]

The solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.

<h3>What are the solutions to the given equation?</h3>

Given the equation in question;

|3x-7| - 7 = x

First, add 7 to both sides.

|3x-7| - 7 + 7 = x + 7

|3x-7|  = x + 7

Next, remove the absolute value term, this creates a ± on the right side of the question.

|3x-7|  = x + 7

3x-7  = ±( x + 7 )

The complete solution is the result of both the negative and positive portions of the solution.

For the first solution, use the positive of ±.

3x-7  = ( x + 7 )

3x - 7  =  x + 7  

3x - x = 7 + 7

2x = 14

x - 14/2

x = 7

For the second solution, use the negative of ±.

3x-7  = -( x + 7 )

3x-7  = -x - 7

3x + x = -7 + 7

4x = 0

x = 0/4

x = 0

Therefore, the solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.

Learn to solve more equation involving absolute value term here: brainly.com/question/28635030

#SPJ1

4 0
1 year ago
Suppose that the derivable functions x=x(t) and y=y(t) satisfy xcosy=2.
ololo11 [35]

Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:

a-) -√2 / 2.

<h3>What is implicit differentiation?</h3>

Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.

In this problem, the function is:

xcos(y) = 2.

The derivative is relative to t, applying the product rule, as follows:

\cos{y}\frac{dx}{dt} - x\sin{y}\frac{dy}{dt} = 0

\frac{dy}{dt} = \frac{\cos{y}\frac{dx}{dt}}{x\sin{y}}

Since dx/dt=−2, we have that:

\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}

When y = π/4, x is given by:

xcos(y) = 2.

x = \frac{2}{\cos{\frac{\pi}{4}}} = \frac{2}{\frac{\sqrt{2}}{2}} = \frac{4}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 2\sqrt{2}

Hence:

\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}

\frac{dy}{dt} = -\frac{1}{\sqrt{2}}\cot{y}

Since cot(pi/4) = 1, we have that:

\frac{dy}{dt} = -\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = -\frac{\sqrt{2}}{2}

Which means that option a is correct.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0
1 year ago
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