Number of zids=x
number of zods=y
number of zid legs=5x
number of zod legs=7y
so
5x+7y=140
try to get it into slope intercept from so you can graph is (y=mx+b)
5x+7y=140
subtract 5x from both sides
7y=140-5x
divide both sides by 7
y=20-5/7x
y=-5/7x+20
plug in numbers for x and get numbers for y (you can only plug in multiples of 7 for x so that there are a whole number of zids and since you are counting, x and y must never be negative)
lets try 0 for x
y=-5/7(0)+20
y=20
so x=0 and y=20 is an answer (if you can have only one of that species)
lets try 7 for x
y=-5/7(7)+20
y=-5+20
y=15
so x=7 and y=15 is an answer
lets try 14 for x
y=-5/7(14)+20
y=-10+20
y=10
so x=14 and y=10 is another answer
lets try 21 for x
y=-5/7(21)+20
y=-15+20
y=5
so x=21 and y=5 is another answer
lets try 28 for x
y=-5/7(28)-20
y=-20+20
y=0
so x=28 and y=0 is an answer (if there can be only one of a species)
if we go further, then y will be negative so the answers are
(x,y)
(0,20)
(7,15)
(14,10)
(21,5)
(28,0)
if it is allowed that only one species exists then there are 5 possible answers
if both must exist simultaneously, then there are only 3 answers
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Answer:
2 notebooks
Step-by-step explanation:
I understand you already figured out that it was 3 notebooks, but when I calculated it, I believe he could only buy 2...
Personally, I would show my work by first doing the calculation: 2.75[1 notebook price]+ (3[pens/pencils per notebook]*1.10[pen/pencil cost])= $9.075 per notebook and 3 pens
If you then showed that you multiplied 9.075 by 2... you would get $18.15 which is the closest you could get to his limit of $22 without going over
If we applied your answer of 3 notebooks, then the total would be $27.225 which goes over the money limit.
Hope I helped!
The answer is 2.77 • 10^3
Answer:
362881
Step-by-step explanation:
The right sequence should be
2,3,7,25,121,721,5041,40321, 362881
Here, the formula used is a(n)=n!+1 where n=1 to infininity
n(1) =2=1!+1=2
n(2)= 3=2!+1=3
n(3)=7=3!+1=7
n(4)=25=4!+1=25
n(5)=121=5!+1=121
n(6)=721=6!+1=721
n(7)=5041=7!+1=5041
n(8)=40321=8!+1=40321
n(9)=362881=9!+1=362881
Answer:
$1,085
Step-by-step explanation:
Data provided in the question:
Amount inherited and invested i.e principle = $31,000
Annual return for Mark on savings account = 2.9% = 0.029
Annual return for Charles on CD = 6.4% = 0.064
Now,
The Interest earned by Mark in 1 year = principle × Rate × Time
= $31,000 × 0.029 × 1
= $899
The Interest earned by Charles in 1 year = principle × Rate × Time
= $31,000 × 0.064 × 1
= $1,984
Therefore,
More Money that Charles have than Mark = $1,984 - $899
= $1,085
