If three bags of birdseed cost $14.16, how much will 14 bags cost?

Mathematics

2 answers:

natita [175]2 years ago

7 0

The correct cost would have to be b. $66.08. You have to divide $14.16 by 3, then multiply by 14.

Rus_ich [418]2 years ago

5 0

All the information's required for solving this problem is already given in the question.
The cost of 3 bags of birdseed = 14.16 dollars
Then
The cost of 1 bag of birdseed = (14.16/3) dollars
So
The cost of 14 bags of birdseed = (14.16/3) * 14 dollars
= 198.24/3 dollars
= 66.08 dollars
So from the above deduction we can see that the correct option is option "B". The cost of 14 bags of birdseed is $66.08. I hope the procedure is clear enough for you to understand.

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Step-by-step explanation:

The Pythagorean theorem states that $a^2+b^2=c^2$ when a and b are the two legs (the sides adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

<u>1) Question 1</u>

The lengths of the two legs in the image are 12 ft. and 5 ft. We know that these are the legs because they are the sides adjacent to the right angle. We're solving for the length of the ladder, which in this case would represent the hypotenuse (c). Plug the values 12 and 15 into the equation as a and b and solve for c:

$a^2+b^2=c^2\\12^2+5^2=c^2\\144+25=c^2\\144+25=c^2\\169=c^2$

Take the square root of both sides

$\sqrt{169}=\sqrt{c^2} \\13=c$

Therefore, the length of the ladder is 13 ft.

<u>2) Question 2</u>

The lengths of the legs in the image are 20 m and 12 m. Again, we know that these are the legs because they are the sides adjacent to the right angle, which in this case would be the corner of the garden. We're solving for the length of the fence going diagonally from one corner to the other, which represents the hypotenuse (c). Plug the values 20 and 12 into the equation as a and b and solve for c:

$20^2+12^2=c^2\\400+144=c^2\\544=c^2$