Story Problem

Mathematics

1 answer:

Tasya [4]3 years ago

3 0

Answer: p=5

p= lbs. of fish

t= total cost

t=3p

t=5+2p replace t with 3p since t=3p

3p=5+2p Subtract 2p from 3p

1p=5 or p=5 Final answer

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Translate to an algebraic statement. "The quotient of twice a number and 7 is 20."

Genrish500 [490]

Answer:

Translation: 2x/7 = 20

Step-by-step explanation:

When we listen to the word "quotient", it means the solution to a division problem.
An unknown number that has been multiplied by 2 is in the numerator because it came before the 7 in the statement.
The number "7" is in the denominator because it came after the 2x in the statement.
The word "is" represents an equal sign.
The solution to the division problem (quotient) is 20.

If we put these clues together, we get 2x/7 = 20 as our translated equation.

Hence, our algebraic statement is 2x/7 = 20. The key is to listen to the statement. 

$BrainiacUser1357$

4 0

3 years ago

A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work must be shown. If an examinee

katrin [286]

Answer: A) 1260

Step-by-step explanation:

We know that the number of combinations of n things taking r at a time is given by :-

$^nC_r=\dfrac{n!}{(n-r)!r!}$

Given : Total multiple-choice questions = 9

Total open-ended problems=6

If an examine must answer 6 of the multiple-choice questions and 4 of the open-ended problems ,

No. of ways to answer 6 multiple-choice questions

= $^9C_6=\dfrac{9!}{6!(9-6)!}=\dfrac{9\times8\times7\times6!}{6!3!}=84$

No. of ways to answer 4 open-ended problems

= $^6C_4=\dfrac{6!}{4!(6-4)!}=\dfrac{6\times5\times4!}{4!2!}=15$

Then by using the Fundamental principal of counting the number of ways can the questions and problems be chosen = No. of ways to answer 6 multiple-choice questions x No. of ways to answer 4 open-ended problems

= $84\times15=1260$