9514 1404 393
Answer:
6
Step-by-step explanation:
If 60% are yellow, the other 40% are green. Then the difference between yellow and green is 60% -40% = 20% of the total number of fish. That difference also happens to be half of the number of green fish:
20% = (1/2)(40%)
So, the number of green fish is 2×3 = 6.
_____
If you wanted to, you could write a couple of equations:
y - g = 3
y = 0.60(y +g)
Using the first equation to write an expression for y, we get ...
y = g +3
Using this in the second equation, we have ...
g +3 = 0.6(g +3 +g)
g +3 = 1.2g +1.8 . . . . eliminate parentheses
1.2 = 0.2g . . . . . . . . subtract g+1.8
1.2/0.2 = g = 6 . . . . . divide by 0.2
There are 6 green fish in the aquarium.
Answer:
x=4
Step-by-step explanation:
<u>Step 1</u>:-
given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.
AB = 2x and BC = 3(x+1) and longest side AC= 17
by using Pythagoras theorem
<u>step 2:-</u>
The hypotenuse is longest side is AC = 17 units
(17)^2 = 4x^2 +9(X+1)^2
on simplification, we will use formula
289 = 4x^2 +9(x^2+2x+1)
finding factors 70 X 52 = 3640
Taking common , we get
13x(x-4)+70(x-4)=0
x-4=0 and 13x+70=0
x=4 and
x=4 and
we can not choose negative value so x value is 4
Final answer:- x = 4
<u>verification:-</u>
<u></u><u></u>
289 = 4(4)^2+9(4+1)^2
289 = 64 +9(25)
289=289
We have that the slope of the line containing the pair of points f(1) = -6 and f(-7) = -6. is
From the question we are told
Find the slope of the line containing the pair of points f(1) = -6 and f(-7) = -6.
Where Standard form of Equation is
y=mx+c
Generally the equation for the Slope is mathematically given as
Therefore
Therefore
The slope of this line is
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Answer:
82
Step-by-step explanation:
Let the unknown number be x
If an unknown number is added to 8, this is expressed as;
8 + x
<em>If The sum is then divided by 9 to give the answer 10, then;</em>
<em>(8+x)/9 = 10</em>
<em>Cross multiply</em>
<em>8 + x = 9 * 10</em>
<em>8 + x = 90</em>
<em>x = 90 - 8</em>
<em>x = 82</em>
Hence the unknown number is 82