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sveticcg [70]
2 years ago
6

On a large map 3 cm represents 45 km how many cm are needed to represent 600 kilometres on this map?

Mathematics
1 answer:
Fantom [35]2 years ago
5 0

Answer:

Number of cm= 40 cm

Step-by-step explanation:

Giving the following information:

3 cm equals 45 kilometers

1 cm= 45 /3 = 15km

<u>We need to determine how many centimeters represents 600 km. We will use the following formula:</u>

<u></u>

Number of cm= total km / km per one cm

Number of cm= 600 / 15

Number of cm= 40 cm

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43. Simplify (k – 5) - (k2 + 8).
lesantik [10]

Answer:

(D) -k2 + k - 13

Step-by-step explanation:

Pulling out like terms :

2.1     Pull out like factors :

  -k2 + k - 13  =   -1 • (k2 - k + 13)

Trying to factor by splitting the middle term

2.2     Factoring  k2 - k + 13

The first term is,  k2  its coefficient is  1 .

The middle term is,  -k  its coefficient is  -1 .

The last term, "the constant", is  +13

Step-1 : Multiply the coefficient of the first term by the constant   1 • 13 = 13

Step-2 : Find two factors of  13  whose sum equals the coefficient of the middle term, which is   -1 .

     -13    +    -1    =    -14

     -1    +    -13    =    -14

     1    +    13    =    14

     13    +    1    =    14

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 -k2 + k - 13

Processing ends successfully

plz mark me as brainliest :)

3 0
3 years ago
Read 2 more answers
Rory's battery was full at 6:00 a.M, or t = 0. Which times could Rory's phone have been plugged into the charger? Select three o
Taya2010 [7]

Complete question:

Rory records the percentage of battery life remaining on his phone throughout a day. The graph represents the percentage of battery life remaining after a certain number of hours.

Rory’s battery was full at 6:00 a.m, or t = 0. Which times could Rory's phone have been plugged into the charger? Select three options.

12:00 p.m.

3:00 p.m.

5:00 p.m.

8:00 p.m.

11:00 p.m.

The graph is attached

Answer:

3:00 p.m

5:00 p.m

11:00 p.m

Step-by-step explanation:

From the graph, there are rise times, fall times and there are times the movement is steady (no rise or fall).

The rise time represents the time the phone was plugged. The fall time represents when the charger has been unplugged so the battery level starts depreciating. When it is constant, it means the battery level is at 100 but the charger is still connected to the phone.

We are told at initial condition, time was 6 a.m (t = 0). To get the exact time, we are to add the initial condition, i.e 6

From the graph, the times the phone could have been plugged are 8:00 to 12:00 hrs and 16:00 to 20:00 hrs.

Converting from 24 hr to 12 hr time, we have:

6 + 8hrs = 14:00 = 2:00 p.m

6 + 9hrs = 15:00 = 3:00 p.m

6 + 10 hrs = 16:00 = 4:00 p.m

6 + 11 hrs = 17:00 = 5:00 p.m

6 + 12 hrs = 18:00 = 6:00 p.m

6 + 16 hrs = 22:00 = 10:00 p.m

6 + 17 hrs = 23:00 = 11:00 p.m

6 + 18 hrs = 00:00 = 12:00 am

6 + 19 = 1 : 00 = 1:00 a.m

6 + 20 = 2:00 = 2:00 a.m

From the options given in the question, we have:

3:00 p.m; 5:00 p.m; 11:00 p.m

Therefore, times could Rory's phone have been plugged into the charger are:

3:00 p.m

5:00 p.m

11:00 p.m

5 0
3 years ago
Match the following situation with one of the linear systems. Lewis wants to acquire at most 12 packages of baseball cards. Some
Akimi4 [234]
Y=4x-38
y=3x-38
Hope I helped 8=)
8 0
3 years ago
What is the domain of the function y = RootIndex 3 StartRoot x minus 1 EndRoot?
finlep [7]

By definition of cubic roots and power properties, we conclude that the domain of the cubic root function is the set of all real numbers.

<h3>What is the domain of the function?</h3>

The domain of the function is the set of all values of x such that the function exists.

In this problem we find a cubic root function, whose domain comprise the set of all real numbers based on the properties of power with negative bases, which shows that a power up to an odd exponent always brings out a negative result.

<h3>Remark</h3>

The statement is poorly formatted. Correct form is shown below:

<em>¿What is the domain of the function </em>y = \sqrt[3]{x - 1}<em>?</em>

<em />

To learn more on domain and range of functions: brainly.com/question/28135761

#SPJ1

4 0
1 year ago
What fraction of 3 is 2 2/5
Yuki888 [10]

Answer: 2 2/5 is 4/5 of 3

Step-by-step explanation:

We can view that as what do we multiply 3 by to get 2 2/5 and call that value x

3x = 2 2/5

x = (2 2/5)/3

Let's turn 2 2/5 into an improper fraction... 2 2/5 = 12/5

So we have

x = (12/5)/3 = (12/5)(1/3) = 4/5

Thus 2 2/5 is 4/5 of 3

Verify:  3(4/5) = 12/5 = 2 2/5

5 0
2 years ago
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