X=length
y=width
Area (rectangle)=length x width
we suggest this system of equations:
y=x/5
xy=9/20
solve this system of equations by substitution method:
x(x/5)=9/20
x²/5=9/20
Least common multiple=20
4x²=9
x²=9/4
x=⁺₋√(9/4)
we have two solutions:
x₁=-3/2 it does not validate
x₂=3/2 ⇒y=x/5=(3/2)/5=3/10
The dimensions of the lake are:
lengh=3/2 miles
width=3/10 miles
to check:
Area=3/2 miles x 3/10 miles=9/20 miles².
width is 1/5 the length of the lake ⇒ 3/10 miles=(3/2) /5 miles
Since an hour has 60 minutes you will take away 5 from 25 and put the 5 on 55 to get 9:00 then you add the rest to get 9:20.
Hope this helps. :)
Answer:
The numbers are 14 and 25
Step-by-step explanation:
Let one of the numbers be x. The second number we are told is 3 less than twice x. The second number will thus be;
2x - 3
The sum of the numbers is thus;
x + (2x - 3) = 3x - 3
But the sum of the numbers is said to be 39, therefore;
3x - 3 = 39
3x = 42
x = 14
The second number is thus;
2(14) - 3 = 28 - 3 = 25
x = 16 in the following equations:
8 × 2 = x
8 + 8 = x
4 × 4 = x
In the following equations, x = 16:
2x = 32
<em>32 ÷ 2 = x = 16
</em>x + 5 = 21
<em>21 - 5 = x = 16</em>
Answer:
Step-by-step explanation:
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