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Ann [662]
3 years ago
13

Decompose 7.846 and round to the nearest tenth and hundredths.

Mathematics
1 answer:
Nataliya [291]3 years ago
3 0
7.846 decomposed is:

7 + 0.8 + 0.04 + 0.006

or, to see it more clearly:

7.000 + 0.800 + 0.040 + 0.006

Rounded to the nearest tenth: 7.8
Rounded to the nearest hundredth: 7.85

I hope that's what you meant :)
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Ted likes to run long distances. He can run 20 kilometers in 95 minutes. How far will Ted run in 285 minutes? (numeric only) *
nikklg [1K]

Answer:

He will run 60 kilometers.

Step-by-step explanation:

285 / 95 = 3

20 x 3 = 60

3 0
3 years ago
Twelve less than 5 times a number is greater than or equal to 6 more than twice the number. Each inequality and number line repr
jenyasd209 [6]

Answer:  x ≥ 6

<u>Step-by-step explanation:</u>

12 less <u>than</u> 5 times a number ≥ 6 more <u>than</u> twice the number

                    5x - 12                    ≥                        2x + 6

Note: the word "than" switches the order of the terms.

5x - 12 ≥ 2x + 6

<u>-2x  +12</u>  <u>-2x +12 </u>

3x         ≥       18

<u>÷3         </u>     <u>    ÷3 </u>

   x         ≥       6

Graph: 6 -----------→   the dot is closed (filled in) since it is "equal to"

3 0
3 years ago
Dilate ABC below using A as the center and a<br> scale factor of 2. Leave all construction marks?
irina1246 [14]
<h3>Answer: Check out the diagram below.</h3>

Explanation:

Use your straightedge to extend segment AB into ray AB. This means you'll have it start at A and go on forever through B. Repeat these steps to turn segment AC into ray AC.

The two rays join at the vertex angle A. Point A is the center of the universe so to speak because it's the center of dilation. We consider it an invariant point that doesn't move. Everything else will move. In this case, everything will move twice as much compared to as before.

Use your compass to measure the width of AB. We don't need the actual number. We just need the compass to be as wide from A to B. Keep your compass at this width and move the non-pencil part to point B. Then mark a small arc along ray AB. What we've just done is constructed a congruent copy of segment AB. In other words, we've just double AB into AB'. This means the arc marking places point B' as the diagram indicates.

The same set of steps will have us construct point C' as well. AC doubles to AC'

Once we determine the locations of B' and C', we can then form triangle A'B'C' which is an enlarged copy of triangle ABC. Each side of the larger triangle has side lengths twice as long.

Note: Points A and A' occupy the same exact location. As mentioned earlier, point A doesn't move.

8 0
3 years ago
Which of the following situations could be modeled by an exponential function?
Sauron [17]

Answer: Option D.

Step-by-step explanation:

An exponential function is something like:

f(x) = A*(r)^x

Where:

A = initial amount.

r = rate of growth

x = variable.

This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"

or:

"There is a population of A animals, and it doubles each year"

Let's analyze briefly all the given options and see which one is an exponential function.

A) The water level of a tank decreases by 5 gallons every day.

This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:

y = W - 5 gal*x

B) The amount of money collected by a charity increases by $5,000 each year.

The amount collected increases $5000 each year.

Then if in year 1 they collected A.

in year 2 they collected A + $5000

in year 3 they collected A + 2*$5000

We already can see the pattern, this is a linear relation:

in year X they colected A + (X - 1)*$5000

C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.

if y is the height of the tree, and x is the number of years, this can be written as:

y = 10ft + x*2ft

Again, a linear relation.

D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.

Let's define x as each "lapse" of 10 minutes that passes.

If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55

After another 10 minutes, the population decreases again.

N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2

We can see the pattern here, this can be written as

People(x) = N*(0.55)^x

This is an exponential function.

3 0
3 years ago
The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a lis
Lemur [1.5K]
5/30 But you should say how many young people there are because for all we know all 30 could be young
3 0
4 years ago
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