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ankoles [38]
3 years ago
8

melissa and brian are at the base of a moutain. melissa hikes to a location 27 meters above sea.level brian hikes to a location

21 meters below sea level​
Mathematics
1 answer:
sweet [91]3 years ago
7 0

Answer:

The difference is 48 meters

Step-by-step explanation:

<u><em>The question is</em></u>

What is the difference of the hikers' altitudes?

Let

x -----> the Melissa's altitude in meters

y ----> Brian's altitude in meters

we have that

x=+27\ ft ---> is positive because is above sea level

y=-21\ ft ---> is negative because is below sea level

Remember that the sea level is the altitude equal to zero

<em>Find the difference</em>

To find out the difference of the hikers' altitudes, subtract Brian's altitude from Melissa's altitude

so

27-(-21)

Remember that (-1)(-1)=+1

27+21=48\ m

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123 full pages

Step-by-step explanation:

Given

Total\ Stamps = 617\ stamps

Each\ Page = 5\ stamps

Required

Determine the number of full page

To do this, we simply divide the total stamps by stamps in each page;

Pages = \frac{Total\ Stamps}{Each\ Page}

Pages = \frac{617}{5}

Pages = 123.4

Then we record only the quotient

The quotient is the digits before the decimal

Pages = 123

<em>Hence, she has 123 full pages</em>

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5 0
3 years ago
In a certain​ year, brand A of​ heart-rate watch cost ​$39.99 and brand B cost ​$59.99. A nonprofit community health organizatio
Oksi-84 [34.3K]

Answer:

Brand A = 21 heart-rate watches.

Brand B = 13 heart-rate watches.

Step-by-step explanation:

Let A be the number of Brand A heart watches and B be the number of Brand B heart watches.

We have been given that a nonprofit community health organization purchased 34 ​heart-rate watches for use at a wellness center.

We can represent this information in an equation as:

A+B=34...(1)

We have been given that in a certain​ year, brand A of​ heart-rate watch cost ​$39.99 and brand B cost ​$59.99 and the organization spent ​$1619.66 for the​ watches.

We can represent this information in an equation as:

39.99*A+59.99*B=1619.66...(2)

We will use substitution method to solve our system of equations.

From equation (1) we will get,

A=34-B

Substituting A=34-B in equation(2) we will get,

39.99*(34-B)+59.99*B=1619.66

1359.66-39.99*B+59.99*B=1619.66

-39.99*B+59.99*B=1619.66-1359.66

20*B=260

B=\frac{260}{20}

B=13

Therefore, the organisation purchased 13 heart-rate watches of brand B.

Now let us substitute B=13 in equation (1).

A+13=34

A+13-13=34-13

A=21

Therefore, the organisation purchased 21 heart-rate watches of brand A.

8 0
3 years ago
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