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Naddika [18.5K]
3 years ago
15

. The scale on a map is 1 cm : 4 km. If two cities are 16 cm apart on the map, what is the actual distance between the cities?

Mathematics
2 answers:
Dvinal [7]3 years ago
3 0
the scale is 1 : 4 , so for every 1 cm there is 4 km

So you take 16 cm and multiply it by 4

So the Answer is 64 cm

Zigmanuir [339]3 years ago
3 0

Answer:

64 kilometers between the cities.

Step-by-step explanation:

To calculate this you just have to do a rule of three between the rate of 1cm: 4 kilometers, with the distance of the 16 centimeters that they are apart in the map with the next equation:

\frac{1cm}{4km}= \frac{16cm}{x}\\ x=\frac{4km*16cm}{1cm}\\ x=\frac{64km*cm}{1cm}\\ x=64 km

So the answer is that the cities will be 64 kilometers apart from one another in reality.

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(-19+7i)-(29+32i)=<br><br> in the form (a+bi)
olga_2 [115]
ANSWER

-48-25i

EXPLANATION

We want to simplify the expression,

(-19+7i) - (29+32i)

Let us expand the bracket to obtain,

-19+7i-29-32i

We now group the complex number parts and real number parts.

-19 -29+7i-32i


We simplify further to obtain,

- 48-25i


This is in the form,

a+bi

where

a=-48

and

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5 0
2 years ago
Seven customers enter a clothing store and are observed to determine if they will make a purchase. The store owner states that t
blondinia [14]

Answer: Mean = 5.25

Variance = 1.3125

Standard deviation = 1.456

Step-by-step explanation:

The mean and variance of a binomial distribution with parameters n (number of trials) and p ( the probability of getting success in each trial) is given by :-

\text{Mean}=np\\\\\text{Variance}=np(1-p)

Given : The total number of enter a clothing store : n=7

The probability of a customer making a purchase= 0.75

Now,

\text{Mean}=7(0.75)=5.25\\\\\text{Variance}=7(0.75)(0.25)=1.3125\\\\\Rightarrow\ \text{Standard deviation}=\sqrt{1.3125}=1.14564392374\approx1.1456

3 0
3 years ago
Lin ran 2 3/4 miles in 2/5 of an hour, Noah ran 8 2/3 miles in 4/3 of an hour, how far would Lin run in 1 hour?
Marizza181 [45]

Answer:

6\frac{7}{8}\ miles

Step-by-step explanation:

Given that Lil's distance in 2/5 hrs is 2 3/4hrs

-Let x be the distance ran in 1 hr.

#We equate and cross multiply to solve for x as follows:

\frac{2}{5}\ hrs=2\frac{3}{4}\\1\ hr=x\\\\\therefore x=2\frac{3}{4}/\frac{2}{5}\\\\=6\frac{7}{8}\ miles

Hence, Lil can run 6 7/8 miles in 1 hr.

5 0
2 years ago
Simplify (7ab)squared 0 <br>A) 7<br> B) 1 <br>C) 7ab <br>D)0​
PolarNik [594]

Answer:

The answer to this is B.

Step-by-step explanation:

Anytime a number/variable is squared by a 0, it always equals a 1.

Hope this Helped!!!

~Shane

4 0
3 years ago
Read 2 more answers
What ratio is the same as 60%
andriy [413]
6:10 or 3:5 I believe
Hope this helps!
3 0
2 years ago
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