Given:
Three numbers in an AP, all positive.
Sum is 21.
Sum of squares is 155.
Common difference is positive.
We do not know what x and y stand for. Will just solve for the three numbers in the AP.
Let m=middle number, then since sum=21, m=21/3=7
Let d=common difference.
Sum of squares
(7-d)^2+7^2+(7+d)^2=155
Expand left-hand side
3*7^2-2d^2=155
d^2=(155-147)/2=4
d=+2 or -2
=+2 (common difference is positive)
Therefore the three numbers of the AP are
{7-2,7,7+2}, or
{5,7,9}
Answer:
Number of Chicken Burritos purchased=7
Number of Cheesy Gordita Crunch purchased=6
Step-by-step explanation:
Let x be the number of Chicken Burritos and y be the number of Cheesy Gordita Crunch.
Total number items purchased=13
Total cost of 13 items=$28.17
Cost of each Chicken Burritos=$1.89
Cost of each Cheesy Gordita Crunch=$2.49
We have to find number of each items purchased.
According to question
.....(1)
...(2)
Equation (1) multiply by 2.49 and then subtract equation (2) from (1)
x=7
Substitute x=7 in equation (1)
Number of Chicken Burritos purchased=7
Number of Cheesy Gordita Crunch purchased=6
In first 40 hours he earns = 7.30 x 40 = $292
Each hour after his rate = 7.20 x 1.5 = $10.80 per hour
In extra four hours he earns = 10.80 x 4 = $43.20
Total earnings = $292 + $43.20 = $335.20
Therefore you don't agree
Hoped this helped you
Answer:
Answer=C
Step-by-step explanation:
58 is a composite number because it has more than 3 factors.
Composite numbers are numbers that has 3 or more factors.
Prime numbers are numbers that only has 2 factors.
