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ehidna [41]
4 years ago
11

To find the product of 42.12 and 10³, move the decimal point in 42.12 __ places to the right because 10³ has __ zeros.

Mathematics
1 answer:
docker41 [41]4 years ago
5 0

Answer:

Both answers are 3.

Step-by-step explanation:

10^3 = 10 * 10 * 10 = 1000

When you multiply 42.12 by 10^3, you are multiplying 42.12 by 1000.

When you multiply a number by a power of 10, such as 10, 100, 1000, etc., move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10.

42.12 * 1000 = 42,120

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Cost of shoes went from 30$ to 50$ what it the percent change​
Likurg_2 [28]

Answer:

20%?

Step-by-step explanation:

idk lol im pretty sure thats it

8 0
4 years ago
You have 800 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the larg
katovenus [111]
Problema Solution

You have 800 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the largest dimensions of this enclosure that you could build?

Answer provided by our tutors

Make a drawing and denote:


x = half of the length of the enclosure


2x = the length of the enclosure


y = the width of the enclosure


P = 800 ft the perimeter


The perimeter of the two enclosures can be expressed P = 4x + 2y thus


4x + 3y = 800


Solving for y:

........

click here to see all the equation solution steps

........

y = 800/3 - 4x/3


The area of the two enclosure is A = 2xy.


Substituting y = 800/3 - 4x/3 in A = 2xy we get


A = 2x(800/3 - 4x/3)


A =1600x/3 - 8x^2/3


We need to find the x for which the parabolic function A = (- 8/3)x^2 + (1600/3)x has maximum: 


x max = -b/2a, a = (-8/3), b = 1600/3


x max = (-1600/3)/(2*(-8/3))


x max = 100 ft


y = 800/3 - 4*100/3


y = 133.33 ft


2x = 2*100


2x = 200 ft

3 0
3 years ago
When you run, your average step length is 42 inches. How many steps would you have to take to run 1 mile (5,280 feet)? Round to
LenaWriter [7]
To solve this, take the total distance (5,280) divide by the average step (42).
5,280/42 = 125.714
6 0
4 years ago
Mike hiked to a lake in 6.5 hours at an average rate of 3 2/5 miles per hour. Pedro hiked the same distance at a rate of 3 4/5 m
balandron [24]
We first need to find the distance.
The information about Mike will provide the distance we need to answer the question about Pedro.

We will use D = rt

Mike:

(6.5)((17/5) = D

22.1 miles = D

Pedro:

D = rt

22.1 = (19/5)t

We need to find t.

22.1 ÷ 3.8 = t

5.8157894737 = t

We now round off as instructed.

5.82 = t

It took Pedro 5.82 hours to reach the lake.
5 0
3 years ago
Read 2 more answers
5,832, _, 648, 216, 72, _,8
UkoKoshka [18]
The first from right 8*3=24
72*3=216
216*3=648
648*3=1944
1944*3=5832
3 0
3 years ago
Read 2 more answers
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