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3 years ago

Multiply (2m2 + 4m – 6)(9m2 + 2m +1)

Mathematics

1 answer:

emmainna [20.7K]3 years ago

5 0

Answer:

18m^4+40m^3-44m^2-8m-6

Step-by-step explanation:

I simplified it and this was the steps v

9m2 m2 + 2 . 1 m2 + 4 . 2mm + 4 . 1 . m - 6

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In Lucille’s class, 35% of the students have blond hair. There are 20 students in the class. How many students have blond hair.

MrRissso [65]

Answer:

7 the answer is 7

Step-by-step explanation:

1. We assume, that the number 20 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 20 is 100%, so we can write it down as 20=100%.

4. We know, that x is 35% of the output value, so we can write it down as x=35%.

5. Now we have two simple equations:

1) 20=100%

2) x=35%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

20/x=100%/35%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 35% of 20

20/x=100/35

(20/x)*x=(100/35)*x -

20=2.85714285714*x -

20/2.85714285714=x

7=x

x=7

now we have:

35% of 20=7

we multiply both sides by x

then we divide both sides by 2.85714285714 to get x

3 0

3 years ago

Read 2 more answers

27 solid iron spheres, each of radius 'xcm'ate melted to form a sphere with radius 'ycm',find the ratio x:y

r-ruslan [8.4K]

Answer:3:1

Step-by-step explanation:

Given

There are 27 solid spheres of radius x cm

The volume of a sphere is $\frac{4}{3}\pi r^3$

The volume of 27 old spheres is the same as the volume of a new sphere

The volume of the old spheres is

$V_o=\dfrac{4}{3}\pi x^3$

The volume of a new sphere is

$V_n=\dfrac{4}{3}\pi y^3$

Now, $V_o=V_n$

$\Rightarrow 27\times \dfrac{4}{3}\pi x^3=\dfrac{4}{3}\pi y^3\\\\\Rightarrow (\dfrac{x}{y})^3=27\\\\\Rightarrow \dfrac{x}{y}=3$

7 0

3 years ago

"16 more than five times a number results in -29"

Thepotemich [5.8K]

Answer:

The number is -9

Step-by-step explanation:

Let the number be x

Therefore, 16 + 5x = -29

5x = -45

x = -9

The number is -9

4 0

3 years ago

A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?

Luden [163]

Given:

A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.

To find:

The volume of the figure.

Solution:

Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.

Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.

If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.

Volume of a cone is

$V=\dfrac{1}{3}\pi r^2h$

where, r is radius of the base and h is vertical height of the cone.

Putting r=6 and h=9, we get

$V=\dfrac{1}{3}\pi (6)^2(9)$

$V=\pi (36)(3)$

$V=108\pi$

Therefore, the volume of the figure is $108\pi$ sq. units.

7 0

3 years ago

Can anyone help me with this?

artcher [175]

Answer: X= 3^-1

X= -0.75

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers