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3 years ago

1. What is an extraneous solution of an equation?

1 answer:

6 0

“Extraneous solutions are not solutions at all. They arise from outside the problem, from the method of solution. They are extraneous because they are not solutions of the original problem. ... To tell if a "solution" is extraneous you need to go back to the original problem and check to see if it is actually a solution.”

Basically, they are an answer you get when you solve a problem, but they don’t actually make the equation true so you disregard it.

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Teresa purchased a prepaid phone card for $15 . Long distance calls cost 24 cents a minute using this card. Teresa used her card

yan [13]

Answer:

46 minutes

Step-by-step explanation:

Teresa purchased a prepaid phone for $15

Long distance calls cost 24 cents a minute using this card

She used the card just once to make a long distance call

The remaining credit on her card was $3.96

Therefore the minutes in which her call lasted can be calculated as follows

Let x represent the minutes

15 - 24/100x= 3.96

15-0.24x= 3.96

-0.24x= 3.96-15

-0.24x= -11.04

x= 11.04/0.24

x = 46

Hence Teresa call lasted for 46 minutes

4 0

4 years ago

In the adjoining figure, area of trangle ABC is

Zepler [3.9K]

Answer:

$PQ=4\ cm$

Step-by-step explanation:

see the attached figure with the letter D to better understand the problem

we know that

The segment side AD is the height of triangle ABC

Triangles PBQ and ABD are similar by AA Similarity Theorem

The area of triangle ABC is equal to

$A=\frac{1}{2}(BC)(AD)$

we have

$A=48\ cm^2\\BC=12\ cm$

substitute

$48=\frac{1}{2}(12)(AD)$

$AD=8\ cm$

Remember that

If two triangles are similar then the ratio of its corresponding sides is proportional

$\frac{BP}{AB}=\frac{PQ}{AD}$

substitute the given values

$\frac{BP}{2BP}=\frac{PQ}{8}$

$\frac{1}{2}=\frac{PQ}{8}$

$PQ=4\ cm$

3 0

3 years ago

a plumber charges $50 for every house call and an additional $70 for each hour of work for one house call yesterday the plumber

sleet_krkn [62]

Answer:

5.5 hours

Step-by-step explanation:

Since every house has an initial charge of $50, we can begin with that

($50)

Then, let's define h as the number of hours. We know every hour is $70, although the hours is yet unknown so that can be

($70 * h) or simply ($70h)

Now, we know the total should end up to be $435, so after PEMDAS the equation will be

($70h + $50 = $435).

We subtract 50 from both sides so now we have $70h = $385.

Now we divide both sides by 70, giving us h = 5.5. Hope it helped!

4 0

3 years ago

The length of a bridge is 230 m. The length of each of Robert's paces is 75 cm.

wariber [46]

Answer:

307 paces

Step-by-step explanation:

First, lets convert Robert's pace to metres. (cm > m)

75cm = (75/100)m

= 0.75m

Number of Full Paces = Length of Bridge / 1 Full Pace

$\frac{230m}{0.75m} \\ = 306 \frac{2}{3} paces$

See , we must have full paces, and in this case we are finding the minimum number of paces, so we will be looking at the lowest possible whole number, which in this case, is 307 paces.

5 0

2 years ago

Please help me with part A B and C can you write the answers and show me how you get it in a notebook please

Gelneren [198K]

You can see all answers in the picture

5 0

3 years ago