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Yuliya22 [10]
3 years ago
14

A school has 840 pupils, if the school hall has seats 85% of the pupils, how many pupils will have no seats?​

Mathematics
1 answer:
ioda3 years ago
3 0

Answer:

126

Step-by-step explanation:

So theres 840 people and 85% got a seat

We just do 840 * 85% = 714

then to find the people without the seat

840 - 714 = 126

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Go step by step to reduce the radical of the equation given. (Figure the step for the box)
Rama09 [41]

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7 0
1 year ago
What is 66% of $1,678.89 plus 7.5% tax?
schepotkina [342]
50% of 1,678.89 = 839.445
10% = 167.889
5% = 83.9445
1% = 16.7889
.5% = 8.39445
Therefore 66% = 1108.0674
and 7.5% = 125.91675
So the two added together is: 1233.98415
To get the percentages simply do the following
50% = divide by two
10% = divide 50% by five OR divide the original number by 10
5% = divide 10% by two or divide 50% by 10
1% = divide 5% by 5 or divide original by 100
.5% = divide 1% by two
4 0
3 years ago
Use a graphing calculator to graph f(x) = x+cos(kx). Use calculus to determine which values of k lead to a function with no loca
nataly862011 [7]

Answer:

Below, you can see the graph of the function:

f(x) = x + cos(k*x)

for different values of k, as follows:

red: k = 1

green: k = 2

orange: k = 0.

Now let's find the values of k such that our function does not have local maxima nor local minima.

First, remember that for a given function f(x), the local maxima or minima points are related to the zeros of the first derivate of f(x).

This means that if:

f'(x0) = 0.

Then x0 is a maxima, minima or an inflection point.

Then if a function is such that the f'(x) ≠ 0 , ∀x, then this function will not have local maxima nor minima.

Now we have:

f(x) = x + cos(k*x)

then:

f'(x) = 1  - k*sin(k*x)

This function will be zero when:

1 = k*sin(k*x)

1/k = sin(k*x)

now, remember that -1 ≤ sin(θ) ≤ 1

then if 1/k is smaller than -1, or larger than 1, we will not have zeros.

And this will happen if -1 < k < 1.

7 0
2 years ago
South School has a circular pattern on the playground that has a radius of 6 feet. Find a. the circumference of the pattern and
katrin [286]

Answer:

Circumference: 37.68

Area: 113.04

Step-by-step explanation:

the formula to find the circumference is 2 x 3.14 x r

r is the radius so you plug in 6 for that

2 x 3.14 x 6 = 37.68

the formula to find the area of a circle is 3.14 x r ²

r is still the radius so you plug in 6 for that

3.14 x 6² = 113.04

6 0
3 years ago
How do I find the volume of a triangular prism?
soldier1979 [14.2K]

Answer:

Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.

Step-by-step explanation:

5 0
3 years ago
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