A)Mark and Jada share 5 yards of ribbon equally. How much ribbon will each get
1 answer:
A) Mark and Jada will each get 2.5 yards of ribbon.
Explanation:
Mark and Jada are sharing 5 yards of ribbon equally amongst 2 people, the two of the together. In order to solve the equation, you must divide the number of yards of ribbon by the number of people equally sharing it, which would be 5 divided by 2. 2 can not be multiplied by any non-decimal number to equal 5, so we can put down the number multiplied by 2 that is closest to 5, which would be 2, because 2 x 2 = 4. Subtracting 5 from 4 gives us 1. Since there are no remainders in our answer, the answer will be a decimal. So then we put a decimal in front of the 2, and add a 0 next to the 1 we got by subtracting 4 from 5, turning the 1 into a 10. 2 times 5 equals 10, so add a 5 to your answer and subtract 10 from 10. 10 - 10 = 0, so the answer is 2.5 yards of ribbon. You can check this answer by multiplying the 2.5 yards of ribbon in our answer by the 2 people who are equally sharing it, 2.5 x 2 = 5 yards of ribbon. So we can certainly conclude that Mark and Jada will be sharing 2.5 yards of ribbon.
B) Mark and Jada can make 10 bows with 5 yards of ribbon.
Explanation:
It takes half a yard of ribbon to make a bow, so we will need to find half of 1. 1 divided by 2 equals 0.5, so 0.5 yards of ribbon will be used for each bow. Now we need to find out how many bows can be made with 5 yards of ribbon. 5 divided by 0.5 equals 10, so the answer come out to be 10 bows. You can check your answer by solving 5 divided by 10, which equals 0.5. So we can safely conclude that 10 bows can be made with 5 yards of ribbon.
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Explanation:
Mark and Jada are sharing 5 yards of ribbon equally amongst 2 people, the two of the together. In order to solve the equation, you must divide the number of yards of ribbon by the number of people equally sharing it, which would be 5 divided by 2. 2 can not be multiplied by any non-decimal number to equal 5, so we can put down the number multiplied by 2 that is closest to 5, which would be 2, because 2 x 2 = 4. Subtracting 5 from 4 gives us 1. Since there are no remainders in our answer, the answer will be a decimal. So then we put a decimal in front of the 2, and add a 0 next to the 1 we got by subtracting 4 from 5, turning the 1 into a 10. 2 times 5 equals 10, so add a 5 to your answer and subtract 10 from 10. 10 - 10 = 0, so the answer is 2.5 yards of ribbon. You can check this answer by multiplying the 2.5 yards of ribbon in our answer by the 2 people who are equally sharing it, 2.5 x 2 = 5 yards of ribbon. So we can certainly conclude that Mark and Jada will be sharing 2.5 yards of ribbon.
B) Mark and Jada can make 10 bows with 5 yards of ribbon.
Explanation:
It takes half a yard of ribbon to make a bow, so we will need to find half of 1. 1 divided by 2 equals 0.5, so 0.5 yards of ribbon will be used for each bow. Now we need to find out how many bows can be made with 5 yards of ribbon. 5 divided by 0.5 equals 10, so the answer come out to be 10 bows. You can check your answer by solving 5 divided by 10, which equals 0.5. So we can safely conclude that 10 bows can be made with 5 yards of ribbon.
I’m sorry if the explanations were too long, I provided a picture so that you could better understand what I’m saying! If I answered correctly and you understood my explanation, a 5 star rating would be highly appreciated! If you didn’t understand my explanation, but the answer was right, a 4 star rating would be better. Thank you!
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Answer:
The correct option is C
Step-by-step explanation:
I attached an image that forms the complete question.
The converse Pythagorean theorem states that, "If the square of the longest side of a triangle is equal to the square of the other two sides, then the triangle is a right triangle."
That is if c is the longest side of a triangle and then a and b are the other sides, then if,
c² = a² + b², the triangle is a right triangle.
Looking at all the options, option C fits the theorem well. Because
3² + 4² = 5² implies the triangle is a right triangle and the converse theorem is established.
The option D also looks close, but it's not correct because you can just draw any two sides and put the right angle in between them. The longest is always the part of the triangle that is opposite to the right angle, 90°. If for instance, you draw 3 and 5 then put the right angle in between them, 4 will take the position of the longest side which is wrong.
Therefore, the correct option is c.
