Write a real world situation of |x-14|=3

Two welders worked a total of 46 h on a project. One welder made $34/h, while the other made $39/h. If the gross earnings of the

Ratling [72]

Answer:

25 and 21 hours respectively

Step-by-step explanation:

Let the number of hours worked by each welder be x and y respectively.

They worked a total of 46 hours. This means :

x + y = 46 hours.......(I)

Now, given their hourly charges, since we have the total amount of money realized, we can make an equation out of it. This means:

34x + 39y = 1669........(ii)

We then solve both simultaneously. From I, x = 46 -y

We can substitute this into ii

34(46 -y) + 39y = 1669

1564 -34y + 39y = 1669

5y = 1669 - 1564

5y = 105

y = 105/5 = 21

x = 46 - y

x = 46 - 21 = 25 hours

The numbers of hours worked by the welders are 25 and 21 respectively

4 0

2 years ago

Five cats each ate 1/4 cup of canned food . How much food did they eat altogether?

Sauron [17]

We have FIVE cats that each ate 1/4 cup of canned food.

Then, the five of them together ate:

5 times 1/4 cup This in mathematical expression is a profduct of an integer value (5) times the fraction (1/4) which we know how to multiply based on the problems we solved a few minutes ago:

5 * 1/4 = 5/1 * 1/4 = (5 * 1) / (1 * 4) = 5/4 cups

This answer can also be written as a MIXED number given that 5/4 is an IMPROPER fraction (a fraction with numerator larger than the denominator)

5/4 = 1 1/4

Not sure what answer your teacher would prefer. It depends on whether he/she wants you to use fractions or mixed numbers.

4 0

1 year ago

Para decorar una pared se disponen de tiras de papel azules de 15 cm, verdes de 20 cm, y rojas de 25 cm. En la pared se quiere a

den301095 [7]

Answer:

a) Smallest line that can be made with each color = 300 cm

b) Total strips should be used = 47 strips

c) Total strips used of blue color = 20

Total strips used of green color = 15

Total strips used of red color = 12

Step-by-step explanation:

Given - To decorate a wall, there are 15 cm blue, 20 cm green, and 25 cm red strips of paper. On the wall you want to build three lines of the same size, one of each color and without cutting any strip.

To find - a) How long is the smallest line that can be made with each color?

b) How many strips should be used?

c) How many of each color?

Proof -

a)

For the smallest line that can be made with each color, we just have to find the lcm (least common multiple) of the 3 srtips.

Firstly,

Decompose the 3 strips to its prime factors , we get

15 = 3×5

20 = 2²×5

25 = 5²

So,

The Lcm(15, 20, 25) = 3×2²×5² = 3×4×25 = 300

∴ we get

Smallest line that can be made with each color = 300 cm

b)

Now,

Total strips used = 300 cm

Strips used by 15 cm blue = $\frac{300}{15}$ = 20 strips

Strips used by 20 cm green = $\frac{300}{20}$ = 15 strips

Strips used by 25 cm red = $\frac{300}{25}$ = 12 strips

So,

Total strips should be used = 20 + 15 + 12 = 47 strips

c)

Total strips used of blue color = 20

Total strips used of green color = 15

Total strips used of red color = 12

6 0

2 years ago

30 PTS HELP ME ASAP! PLEASE! IM TIRED AND NEED HELP!

almond37 [142]

Answer:

Step-by-step explanation:

Slope is an average. In this particular context, the slope of 6.9 (or 7) means that an average of 7 people entered the store every hour.

If x is the number of hours the store is open and we are told to find the number of customers that have entered the store after 5 hours, we fill in the equation as follows:

y = 7(5) + 10 and

y = 35 + 10 so

y = 45.

If you use 6.9 instead of 7:

y = 6.9(5) + 10 and

y = 34.5 + 10 so

y = 45.5

Since you can't count a half of a person, using 7 instead of 6.9 makes more sense.

4 0

2 years ago

Consider the graph of the function f(x) = 25

trasher [3.6K]

Considering it's horizontal asymptote, the statement describes a key feature of function g(x) = 2f(x) is given by:

Horizontal asymptote at y = 0.

<h3>What are the horizontal asymptotes of a function?</h3>

They are the limits of the function as x goes to negative and positive infinity, as long as these values are not infinity.

Researching this problem on the internet, the functions are given as follows:

$f(x) = 2^x$ .

$g(x) = 2f(x) = 2(2)^x$

The limits are given as follows:

$\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 2(2)^x = \frac{2}{2^{\infty}} = 0$

$\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 2(2)^x = 2(2)^{\infty} = \infty$

Hence, the correct statement is:

Horizontal asymptote at y = 0.

More can be learned about horizontal asymptotes at brainly.com/question/16948935

#SPJ1

3 0

1 year ago