Let x,y be the two numbers.
Given that one number is 5 greater than another.
Let x be the smaller number ans y be the greater number.
That is y=x+5. Let this be the first equation.
And also given that product of the two numbers is 84.
That is x*y = 84, let us plugin y=x+5 here.
x*(x+5) = 84
x^2 + 5x -84 = 0.
x^2+12x-7x-84 = 0
x(x+12)-7(x+12) =0
(x-7)(x+12)=0
That is x= 7 or -12.
If x=7, y= 7+5=12.
If x=-12, y= -12+5 = -7.
Hence two positive numbers corresponding to given conditions are 7,12.
And two negative numbers corresponding to given conditions are -12,-7.
Answer:
It would take Abigail six days to read 32,400 words of a book if she were to read 30 minutes per day.
Step-by-step explanation:
If Abigail reads 180 words per minute, and she reads 30 minutes per day, we need to multiply 180 by 30 to figure out how many words she reads per day.
180 × 30 = 5,400
Abigail reads 5,400 words per day.
Then, we divide 32,400 by 5,400 to figure out how many days it would take Abigail to read 32,400 words.
32,400 ÷ 5,400 = 6
It would take Abigail six days to read 32,400 days.
Hope that helped!
Answer:
The probability that a customer’s order will not be met during a month is 1.67.
Step-by-step explanation:
Given : A warehouse distributor of carpet keeps 6,000 yards of deluxe shag carpet in stock during a month. The average demand for carpet from the stores that purchase from the distributor is 4,500 yards per month, with a standard deviation of 900 yards.
To find : What is the probability that a customer’s order will not be met during a month?
Solution :
Average Mean 
Sample Mean 
Standard deviation 
The formula is given by,
Substitute the value in the formula,
The probability that a customer’s order will not be met during a month is 1.67.
Answer:
4 weeks
Step-by-step explanation:
15 + 2x = 23
2x = 8
x = 4
Answer:
117
Step-by-step explanation:
The formula for a triangle is base times hight divided by two. So, 13 x 18 = 234, and 234/2 = 117
