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scoundrel [369]
3 years ago
9

Can you help me with 1 & 3?

Mathematics
1 answer:
iVinArrow [24]3 years ago
5 0
For 1 multiply both sides by 3 which gives you 3y-y=12. Then combine like terms 2y=12. Lastly divide both sides by 2 and you get y=6. And for 3 first multiply both sides by 4 which gives you 6y-32=y+8. After that combine like terms 6y-y-32=8. Now add the equation together 5y=40 and then divide by 5 and get y=8
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A volume of the cone is (1/3) the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?
xenn [34]

Answer:

4/3

Step-by-step explanation:

To know this, let's write down the formulas for the volume of cylinder and sphere.

Vs = 4/3πr³   (1)

Vc = π r² h    (2)

Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:

Vs / Vc = 4πr³ / 3πr²h

Vs/Vc = 4πr³ / 3πr³

From here, we can cancel out the values of π and r³:

Vs/Vc = 4/3

<h2>Vs = 4/3 Vc</h2>

Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.

Hope this helps

8 0
2 years ago
Age If you add Natalie's age and Fred's age, the result is 40. If you add Fred's age to 4 times
jolli1 [7]

Answer:

Fred is 28 yrs old. Nathalie is 12yrs old

Step-by-step explanation:

Let Nathalie's age be x

Let Fred's age be a

x+a=40 yrs•••••1

4x+a=76yrs•••••2

a=40-x

Substitute a for 40-x in equation (2)

4x+40-x=76

3x=76-40

3x=36

x=12

a=40-12

a=28

5 0
2 years ago
What's 5 divided by 3 1/3?
VMariaS [17]

Answer:

your answer should be 1.5

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Which statement describes a key feature of function g if g(x) = f(x + 4)?
11111nata11111 [884]

The statement that describes a key feature of function g if g(x) = f(x + 4) is C. horizontal asymptote of y = 0.

<h3>What is a function?</h3>

It should be noted that a function is an expression that shows the relationship between the variables.

In this case, the statement that describes a key feature of function g if g(x) = f(x + 4) is that the horizontal asymptote of y = 0.

The horizontal asymptote is vital for guiding the variables

Learn more about functions on:

brainly.com/question/6561461

#SPJ1

5 0
2 years ago
Common factor and HCF of 10m squared,15mk​
Anton [14]

Answer:

Step-by-step explanation:

10m^2 and 15mk

common factor is 5m

HCF is 5m

5 0
3 years ago
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