Mrs brown wants to cook 5 dishes on a stove with 2 burners. The times she needs to cook each dish are 40min,15min,35min,10min an
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Let x be the number of weeks; therefore, the two linear equations are
Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.
Solving by substitution. Set T=C, then
Thus, substitute the value of x=3 into the first equation,
Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.
Ok, from your picture, it looks like you have a square and a right triangle next to each other
one of the definition of a square is that all 4 sides are equal, and its given to you that the square has a side length of 3
since the triangle shares a side with the square, that means that shared side has a length of 3
ok, now how about determining the unknown length x
well the base has a length of 5, but you also know that when you add the length of the square side plus x, you should get 5
3+x = 5
and you can solve for x (subtract 3 from both sides)
x=2
now how about determining side length y
well since you know this is a right triangle, you can apply pythagorean theorem
where C is the hypothenuse of the triangle, or the longest side
when you substitute the known values (3 and x)
you get
3^2 + x^2 = y^2
since you already know x=2
3^2 +2^2 = y^2
and you can solve for y
any questions?
one of the definition of a square is that all 4 sides are equal, and its given to you that the square has a side length of 3
since the triangle shares a side with the square, that means that shared side has a length of 3
ok, now how about determining the unknown length x
well the base has a length of 5, but you also know that when you add the length of the square side plus x, you should get 5
3+x = 5
and you can solve for x (subtract 3 from both sides)
x=2
now how about determining side length y
well since you know this is a right triangle, you can apply pythagorean theorem
where C is the hypothenuse of the triangle, or the longest side
when you substitute the known values (3 and x)
you get
3^2 + x^2 = y^2
since you already know x=2
3^2 +2^2 = y^2
and you can solve for y
any questions?