Answer:
The only solution I see is for x=0
Step-by-step explanation:
y=8x+2
y=-8x+2
y=y so substitute:
8X+2=-8X+2
Subtract 2 from each side
8X=-8X
divide each side by 8
x=-x
The only solution I see is for x=0
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: 376.98192 mL
Step-by-step explanation:
We are going to use this equation.
V = π * r² * h
according to the question we have the value for r and h, if you replace the values into the equation we will get following product:
note: also keep in mind that value of π is 3.141516
V = π * r² * h
V = π * (4in)² * (10in)
V = 502.64256 in³
after we can divide this value in 4 equals parts
then we get the following equation:
502.64256 in³ / 4 = 125.66064 in³
after that that you can multiply this value by 3 to get the 3 parts of the cylinder vase for example:
125.66064 in³ * 3 = 376.98192 in³
and this result is the volume of water that we have to pour into the vase
Answer:
144
Step-by-step explanation:
<u>Data:</u>
<em>Emily's age</em> : 46 years old
<u>Find Colin's age</u>
<em>Colin's age</em>: 11 years older than Emily
Emily's age + 11
46 + 11 = 57 years old
<u>Find Dan's age</u>
<em>Dan's age</em>: 5 years younger than Emily
Emily's age - 5
46 - 5 = 41 years old
<u>Find their combined ages</u>
<em>Combined ages</em>: Emily's age + Colin's age + Dan's age
<em>Combined ages </em>= 46 + 57 + 41
Total = 144
Therefore, the total of their combined ages is 144.
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