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Archy [21]
2 years ago
13

A map has a scale of 1 cm to 20km. Rewrite the scale as a ration in its simplest form.

Mathematics
2 answers:
Lesechka [4]2 years ago
6 0

Answer:

1 : 2000000

Step-by-step explanation:

we have to convert 20km into cm so

20km×100000

=2000000

So ratio is 1:2000000

<h2>MARK ME BRAINLIEST PLS!</h2>
Harman [31]2 years ago
3 0

Answer:

1:2000000.

Step-by-step explanation:

1 km = 1000m = 100*1000

= 100,000 cm

20 km = 2,000,000 cm.

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PLEASE HELP ASAP BRAINLIEST
Y_Kistochka [10]

Area is Length x width.

Area = 4x * 5

Area = 20x

Replace A in the inequality:

Now you have 100 <= 20x <= 1,000

Now solve for x by dividing all 3 by 20:

5 <= x <=50

Check to see if they are viable:

4(5) x 5 = 20 x 5 = 100

4(50) x 5 = 200 x 5 = 1,000

Since the lowest number equals 100 and the largest number equals 1,000 all values of x would be viable. The answer is YES.

6 0
3 years ago
Solve 9^x + 4 = 11 for x using the change of base formula log base b of y equals log y over log b.
Sauron [17]

Answer:

If you meant 9^x+4=11, then the answer is approximately 0.866.

If you meant 9^{x+4}=11, then the answer is approximately -2.909 which looks like what you meant based on the choices.

Step-by-step explanation:

9^x+4=11

First step is to get the exponential part by itself. The part that has the variable exponent which is the 9^x term.

To do this we need to subtract 4 on both sides:

9^x=11-4

Simplify:

9^x=7

The equivalent logarithmic form is:

\log_9(7)=x

I always say to myself the logarithm is the exponent that is how I know what to put opposite the side containing the log.

Anyways if you don't have options for computing \log_b(a) in your calculator you need to use the change of base formula.

\frac{\log(7)}{\log(9)}=x

So x \approx 0.8856

I don't see this as a choice so maybe you actually meant the following equation:

9^{x+4}=11

Let's see if this is the correct interpretation.

So the exponential part is already isolated.

So we just need to put in the equivalent logarithmic form:

\log_9(11)=x+4

Now we subtract 4 on both sides:

\log_9(11)-4=x

Again if you don't have the option for computing \log_b(a) in your calculator, you will have to use the change of base formula:

\frac{\log(11)}{\log(9)}-4=x

x \approx -2.909

6 0
3 years ago
PLEASE HELP!!! A.S.A.P!!
Ksivusya [100]

Answer:

142m

Step-by-step explanation:

This problem can be solved by simply using the pythagorean theorem, as you stated at the beginning of the problem, which is: a^{2} +b^{2} =c^{2}

You are given the <em>a</em> side and <em>b</em> side that are needed for this equation, so it's all a matter of plugging in the information you have:

110^{2} +90^{2} =c^{2}

110^{2} =12100

90^{2} =8100

12100+8100=c^{2}

20200=c^{2}

Now, because the <em>c</em> is still squared, you must take the square root of 20200 in order to get the length of just side <em>c</em>:

\sqrt{20200}≈142m

7 0
3 years ago
Patrick works a 40-hour week at $10.70 an hour with time and a half for overtime. Last week he worked 45 hours. What were his to
vredina [299]

its 454.75$ either the answers you are wrong or idk

4 0
3 years ago
What happens to the mean of the data set {2, 4, 7, 6, 3, 6, 7} if the number 25 is added?
Margaret [11]

Answer:

It goes up by 2.5

Step-by-step explanation:

Mean equation: (n₁ + n₂ + n₃ + ...)/n

Current mean: (2 + 4 + 7 + 6 + 3 + 6 + 7)/7 = 35/7 =<em> 5</em>

New mean: (2 + 4 + 7 + 6 + 3 + 6 + 7 + 25)/8 = 60/8 = <em>7.5</em>

Difference: 7.5 - 5 = 2.5

8 0
3 years ago
Read 2 more answers
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