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marta [7]
2 years ago
12

75% of the students are boys. There are 24 boys. What is the total number of students?

Mathematics
2 answers:
hram777 [196]2 years ago
6 0
There are 32 students.
Reptile [31]2 years ago
3 0

Answer: 32

Step-by-step explanation:

We can write the problem like this:

\frac{75}{100}x=24

Then, we can multiply 100 to the equation:

75x=2400

Now, we can divide 2400 and 75:

x=32

Now we can conclude that the amount of students is 32.

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The circumference of F is 120 cm what is the length of DE the minor arc
AfilCa [17]

Answer:

Option E 15 cm

Step-by-step explanation:

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find out the length of arc DE by a central angle of 45 degrees

Let

x -----> the length of arc DE

\frac{120}{360}=\frac{x}{45}\\\\x=120*45/360\\\\x=15\ cm

7 0
3 years ago
The curve with equation y=ax^2+bx has a gradient of 3 at the point (2,-2). Find the values of a and b.
Airida [17]

Answer:

a = 2, b = - 5

Step-by-step explanation:

Given

y = ax² + bx

\frac{dy}{dx} is the measure of the slope at x = a

Differentiate each term with respect to x using the power rule

\frac{d}{dx}(ax^{n} ) = nax^{n-1}

\frac{dy}{dx} = 2ax + b, hence

2ax + b = 3 at (2, - 2)

Substitute x = 2 into \frac{dy}{dx}

4a + b = 3 → (1) and substitute x = 2 into y

4a + 2b = - 2 → (2)

Subtract ( 1) from (2)

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Substitute b = - 5 into (1)

4a - 5 = 3 ( add 5 to both sides )

4a = 8 ( divide both sides by 4 )

a = 2

7 0
3 years ago
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katrin [286]
Check the attached file for the solution.

5 0
3 years ago
Which of the following tables represent linear relationships?
ladessa [460]

Answer:

Table 2 and 3

Step-by-step explanation:

A linear relationship should show a straight line, showing that it's linear.

*View the attached graphs*

Hope this helps!

3 0
2 years ago
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3 years ago
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