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4 years ago

max is 24 years older than his son liam in two years liam will be half as old as max how old is liam now

Mathematics

2 answers:

sertanlavr [38]4 years ago

5 0

Max is 26 now because 24 + 2 = 26 so 26 / 2 = 13

Liam is 13.

I hope this helps :)

Reptile [31]3 years ago

4 0

Liam is 22 years old now. Max is 46, and in two years Liam will be 24 and Max will be 48. Hope this helped!

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When 64 is added to the number that is produced by doubling the number x, the result is equal to 35 times the number that 1 less

photoshop1234 [79]

64+(2x)=35(x-1)
expand
64+2x=35x-35
minus 2x from both sides
64=33x-35
add 35 to both sides
99=33x
divide both sides by 33
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3 years ago

Which equation demonstrates the distributive property?

PIT_PIT [208]

B because distributive property goes like this:
a(b+c)
a(b)+a(c)
That's just an example though

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2 years ago

The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3

Zepler [3.9K]

Answer:

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

--------------------------------------------------------------------------------------------------

a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

--------------------------------------------------------------------------------------------------

D. a base area of 16y² square units and height of y² + y + 3 units

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Step-by-step explanation:

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Triss [41]

Answer:

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3 years ago

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