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erik [133]
4 years ago
5

After reading a book for English class, 100 students were asked wether or not they enjoyed it. Nine twenty-fifths of the class d

id not like the book. How many students liked the book?
Mathematics
2 answers:
mariarad [96]4 years ago
7 0

Answer:

64 students

Step-by-step explanation:

Nine twenty-fifths simply means 9/25.

Total = 100 students

Those who did not like the book are Nine twenty-fifths of the total students i.e

= 9/25 x 100 = 36 students

Those who like the book are = 100 — 36 = 64 students

tensa zangetsu [6.8K]4 years ago
5 0

Answer: 64 students

Step-by-step explanation:

What you already know : Total students in English class= 100

Nine twenty-fifths of the class did not like the book.

 

Therefore, the number of students like the book =Total students- students did not like the book

=100-36=64 students.

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Write the equation of a line that passes through the point (1,4) and has a slope of 9.
Kryger [21]

Answer:

y=9x-5

Step-by-step explanation:

You want to find the equation for a line that passes through the point (1,4) and has a slope of 9.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 9. So you can right away fill in the equation for a line somewhat to read:

y=9x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(1,4). When x of the line is 1, y of the line must be 4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the 9 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (1,4).

So, why not plug in for x the number 1 and y the number 4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(1,4). y=mx+b or 4=9 × 1+b, or solving for b: b=4-(9)(1). b=-5.The equation of the line that passes through the point (1,4) with a slope of 9

is

y=9x-5

4 0
3 years ago
1. Which of the following is not an equation?
OlgaM077 [116]

Answer:

2. is not an equation

Step-by-step explanation:

An equation always has an equal sign. An expression doesn't

5 0
3 years ago
If a right angled triangle has 3 sides a,b and c when a=3,b=6 ,what is the value of c?​
Nataliya [291]

Answer:

c = 3√5 ≈ 6.708

Step-by-step explanation:

Use the Pythagorean Theorem because this is a right triangle.

a^2 + b^2 = c^2

3^2 + 6^2 = c^2

9 + 36 = c^2

45 = c^2

√45 = c

<u>c = 3√5 ≈ 6.708</u>

5 0
3 years ago
A vertical cylinder is leaking water at a rate of 4m3/sec. If the cylinder has a height of 10m and a radius of 2m, at what rate
Lyrx [107]

Answer:

Therefore the rate change of height is  \frac{1}{\pi} m/s.

Step-by-step explanation:

Given that a vertical cylinder is leaking water at rate of 4 m³/s.

It means the rate change of volume is 4 m³/s.

\frac{dV}{dt}=4 \ m^3/s

The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.

The height of the cylinder be h(say).

The volume of a cylinder is V=\pi r^2 h

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\therefore V= 4\pi h

Differentiating with respect to t.

\frac{dV}{dt}=4\pi \frac{dh}{dt}

Putting the value \frac{dV}{dt}

\Rightarrow 4\pi \frac{dh}{dt}=4

\Rightarrow \frac{dh}{dt}=\frac{4}{4\pi}

\Rightarrow \frac{dh}{dt}=\frac{1}{\pi}

The rate change of height does not depend on the height.

Therefore the rate change of height is  \frac{1}{\pi} m/s.

3 0
3 years ago
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