(1 pt) Which answer is the same as moving the decimal in 6.73 three places to the left? A. dividing 6.73 by 103 B. dividing 6.73 by 102 C. multiplying 6.73 by 100 D. multiplying 6.73 by 1,000

Answers

Answer 1

Answer: d. because when you multiply you move your numbers to the left and 1000 has 3 zeros meaning you will move your answer 3 times to the left .

hope you understand
good luck with your homework

Answer 2

Answer: The answer would be a.
If you divide 6.73 by 10^3(or 1000) you would get 0.00673.
Hope this works! :)

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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 + 48y2 cubic units. Which could be the base area and height of the prism?a base area of 4y square units and height of 4y2 + 4y + 12 units
a base area of 8y2 square units and height of y2 + 2y + 4 units
a base area of 12y square units and height of 4y2 + 4y + 36 units
a base area of 16y2 square units and height of y2 + y + 3 units

Answers

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

Answer:

Option 4) a base area of $16y^2$ square units and height of $y^2 + y + 3$ units

Step-by-step explanation:

We are given the following in the question:

Volume of prism = Bh

where B is the area of the base and h is heigth of the prism

Volume of prism =

$16y^4 + 16y^3 + 48y^2 \text{ cubic units}$

We have to find the base area and the height of the prism from the given options.

Base area = $4y$

Height = $4y^2 + 4y + 12$

Volume = $4y(4y^2 + 4y + 12) = 16y^3 + 16y^2 +48y$

which is not equal to the given volume

Base area = $8y^2$

Height = $y^2 + 2y + 4$

Volume = $8y^2(y^2 + 2y + 4) = 8y^4 + 16y^3 +32y^2$

which is not equal to the given volume

Base area = $12y$

Height = $4y^2 + 4y + 36$

Volume = $12y(4y^2 + 4y + 36) = 48y^3 + 48y^2 +432y$

which is not equal to the given volume

Base area = $16y^2$

Height = $y^2 + y + 3$

Volume = $16y^2(y^2 + y + 3) = 16y^4 + 16y^3 +48y^2$

which is equal to the given volume

What are the advantages to using exponential notation?

Answers

The advantages of using exponential notation is that it is shorter, and easier to read. For example, if you didn't use exponential form, you would be writing something like: 4+4+4+4+4+4+4+4. Reading that would be very confusing because you have to count how many 4s there are. It is also a lot shorter to write 4 to the power of 8 instead of 4+4 eight times. I hope this helps! :)

Trevor paints 1/6 of the fence surrounding his farm each day. How many days will it take him to paint 3/4 of the fence?

Answers

Trevor paints 1/6 of the fence surrounding his farm each day. How many days will it take him to paint 3/4 of the fence?1/6= 0.167 per day
0.1667 So in one day Trevor can paint almost 17% of the fence.

3/4 = 0.75 days=?
0.75 / 0.17 = 4.4

Hence Trevor can paint the surrounding fence of the farm in 4 days, 75% completion.

4. Ellie uses 12.5 pounds of potatoes to make mashed potatoes. She uses one-tenth as many pounds of butter as potatoes. How many pounds of butter does Ellie use?

Answers

1.25 pounds (sorry i had to use more characters)

If Ben bikes 3 miles and then bikes 1,000 yards back toward his starting point, how many yards is Ben from his starting point?

Answers

First lets convert the 3 miles to yards. 3 miles is equal to about 5280 yards . So now we have to subtract 5280 yards by 1,000 which is equal to 4,280.
So the final answer is 4,280.

To answer this we will first convert d 3 miles to yards. den we will subtract the 1,000 yards and d answer will be d amount of yards Ben is from his starting point. lets do it:-

1 mile = 1760 yards

Now lets multiple:-

1760 × 3 = 5280
3 miles = 5280 yards

lets subtract now:-

5280 - 1000 = 4280

So, Ben is 4,280 yards far from his starting point.

Hope I helped ya!!

Ben is 4 times as old as Ishaan. 6 years ago, Ben was 6 times as old as Ishaan. How old is Ishaan now?

Answers

The correct answer for the question that is being presented above is this one:

Let x = Ishaan's age
Let 4x = Ben's age

x = 4x

6 years ago
x-6 = Ishaan's age
6(x-6) = Ben's age

x - 6 = 6 (x - 6)
x - 6 = 6x - 36
-5x = -30
x = 6

Ishaan's age = 6 + 6 = 12
So, Ishaan is 12 years old.

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