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polet [3.4K]
3 years ago
9

the ratio of students to laptops in a school is 3:2 if there are 1,200 students, how many laptops are there?

Mathematics
2 answers:
Artemon [7]3 years ago
8 0

Answer:

1200:800

Step-by-step explanation:

1200÷3=400

400×2=800

800 laptops

shepuryov [24]3 years ago
3 0

Answer:

800 Laptops

Step-by-step explanation:

3:2 = 1200:x

I first divide 1200 with 3 because that is the ratio of the students. WE can see that 1200/400 equals 3. So if I multiply 2 times 400, then we get 800 Laptops.

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The area of the rectangle as a single expression
Ne4ueva [31]

Answer: A=15x^2+6x-48

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

A=l*w

Where "l" is the length and "w" is the width.

You can identify from the figure that the length and the width of this rectangle are:

length=3(x+2)\\width=5x-8

Then, you need to substitute this lenght and this width into A=l*w:

A=3(x+2)(5x-8)

Now, apply Distributive property:

A=(3x+6)(5x-8)\\\\A=15x^2-24x+30x-48

Finally, you need to add the like terms. Then, you get:

A=15x^2+6x-48

5 0
3 years ago
What is the volume of a cylinder with the base radius of 10 units and a height of nine units?
Otrada [13]

Answer:

V = 2827.43\ units^3  or V = 900\pi\ units^3

Step-by-step explanation:

The volume of a cylinder is calculated by the following formula

V = \pi r^2 *h

Where r is the radius of the cylinder and h is the height

In this case we know that the radius r of the base is:

r=10\ units

and

h=9\ units

So the Volume is:

V = \pi (10)^2 *9

V = 900\pi\ units^3

V = 2827.43\ units^3

7 0
4 years ago
Read 2 more answers
What is the area of the red region?
Nitella [24]

Answer:

≈ 57.13cm^{2}

Step-by-step explanation:

Area of Circle:

A = π r^{2}

π (4)^{2}

π (16)

≈ 50.27cm^{2}

Area of Square:

A = l(w)

8(8) = 64 cm^{2}

Area of each corner:

64 - 50.27 = 13.73cm^{2}

13.73 ÷ 4 ≈ 3.43cm^{2}

Area of Red:

50.27 + (3.43(2)) ≈ 57.13cm^{2}

3 0
3 years ago
I NEED HELP!! Please
Lilit [14]

Answer:

Step-by-step explanation:

P represents the original price of the sandwich

1.5 represents the discount

6 0
3 years ago
Can someone help me with this please??
Evgen [1.6K]

Answer:

z=20.8

x=16.97

y=12

Step-by-step explanation:

The triangle on the right is a 30,60,90 triangle, a special right triangle with simple rules to find the side lengths. sides A,B, and C where C is the hypotenuse (24 in your diagram). The short side A is= 1/2 of side C (12 in your diagram). The long side B is= side A*√3 (20.8 in your diagram).

The triangle on the left is another special right triangle called a 45,45,90. The rules for this triangle are C= A*√2, and B=A. Because of the rules in the 30,60,90 triangle, we know that side A is 12. This means that side B (y)=12. Side C (x)= 16.97.

Hope this helped! Sorry if my explanation is confusing, but the rules for special right triangles can be easily found online and then calculated :)

4 0
3 years ago
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