One person can do a certain job in twenty-one minutes, and another person can do the same job in twenty-eight minutes. How many minutes will it take them to do the job together?6 min
12 min
24 min
Answers
The number of minutes that it will take for them to do the job together is:
- 12 minutes
What is the formula for work done together?
To arrive at the correct answer, it is necessary to factor in the number of minutes worked by each individual. For that, we can assign them х and у.
So the number of hours worked by the person х is 21 minutes
and the number of hours worked by person у is 28 minutes
When they work together, they will spend:
Therefore;
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Related Questions
the cube of one number plus the square of another is 17. the first number minus the second is 5. find both numbers. note that there are three different answers.
What is the elapsed time between 2:16 am to 8:10pm
Given M(-1,2) and N(4,0) find MN
Hugo decided to pay $2 a week to his brother to buy a bicycle. The equation y – 10 = –2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay. How much did the bicycle cost? $ After how many weeks will Hugo finish paying for the bike? weeks
A. d < –7
B. d < 36
C. d > –7
D. d < –48
Answers
42 < -6d
divide 6 by both sides,
7 < -d
(C) d > -7 is the answer.
Answers
Answer: X=216
Step-by-step explanation:
18×12=216
Now, to find the number x times 18 times 12, you can multiply 216 by x:
X x 216
3,140
31,400
314,000
Answers
Answer:
3140
B is the correct option.
Step-by-step explanation:
The expression in scientific notation is given by
We can simplify as
Therefore, the expression becomes
On multiplying, we get
B is the correct option.
Answers
Answer:
Hence, the rate of change of the price of apples is:
$ 0.20 per year.
Step-by-step explanation:
Let P denote the price of apples.
It is given that the initial price of apples is: $ 0.30 per lb.
i.e. P(0)=$ 0.30 per lb.
Also, the price of the apples after three years is: $ 0.90 per lb.
i.e. P(3)=$ 0.90 per lb.
Hence, the rate of the change of the price of apples is calculated by:
Now on putting the value in the formula we obtain:
The rate of change is:
$ 0.20 per year.
60cents/3years=20cents/year
It changed 20cents a year
Answers
The value of the expression 45 - 0.023 is 44.97
What are expressions?
An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be multiplication, addition, subtraction, division.
For example, 2x+ 4
Given that,
The expression
⇒ 45 - 0.023
Now subtracting number 0.023 from the number 45
the number 45 is a integer
the number 0.023 is a decimal number
⇒ 44.97
Hence, the value of expression is 44.97
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- 00.023
_________
44.977
Answers
Answer:
The other root of the polynomial is 5+7i.
Step-by-step explanation:
According to the complex conjugate root theorem, if a complex number is a root of a polynomial, then its conjugate is also a root of that polynomial.
It means, if a+ib is a complex root of a polynomial, then its conjugate a-ib is also the root of that polynomial.
It is given that the a polynomial has one root that equals 5-7i.
To find the conjugate of a complex number the sign of imaginary part is changed.
The conjugate of 5-7i is 5+7i.
A polynomial has one root that equals 5-7i, using complex conjugate root theorem 5+7i is the other root of this polynomial.
Answer:
The other root is 5 + 7i.