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olya-2409 [2.1K]
3 years ago
6

7. Which of the following illustrates the commutative property of multiplication?

Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0
X^2 + 5 = 5 + x^2 will give you the same answer. Also know as the commutative property. Answer is (3)
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The circumference of a flower garden is 247 ud. What is the area of the flower garden in terms of
lisov135 [29]

Answer:15252.25π^3

Step-by-step explanation:

Radius=r

Circumference=247 ud

Circumference=2 x π x r

247=2πr

Divide both sides by 2π

247/2π=2πr/2π

123.5π=r

Radius=123.5π

Area of circle=π x r x r

Area of circle=π x 123.5π x 123.5π

Area of circle=15252.25π^3

4 0
3 years ago
Hot dogs come in packages of 10 and hot dog buns come in packages of 8 . What is the least amount of product that you need to Bu
lubasha [3.4K]

This exercise is solved by finding the least common multiple between 10 and 8.


In fact, you have to buy a certain number h of hot dog package, and you will have 10h hot dogs, since there are 10 hot dogs in each package. The key concept here is that the number of hot dogs you have in the end is a multiple of the number of hot dogs in each box.


Similarly, you have to buy a certain number b of hot dog buns package, and you will have 8b hot dogs, since there are 8 hot dog buns in each package. Again, the key concept here is that the number of hot dog buns you have in the end is a multiple of the number of hot dog buns in each box.


Then, you want to have the same number of hot dogs and hot dog buns, i.e. you want


10h = 8b


but you also want h and b to be the first values to satisfy this equation.


This means that you want a multiple of 10 to equal a multiple of 8, and you want the smallest possible number which does the trick. Again, this is exactly the definition of the least common multiple.


To find the least common multiple of two numbers, find their prime factorization, and collect all the primes from both factorizations, with the highest exponent possible. Since 10 = 2\cdot 5 and 8 = 2^3, the primes appearing are 2 and 5. The higher exponent for 2 is 3, and the only exponent for 5 is 1. So, the answer is 2^3\cdot 5 = 40.


So, if you buy 4 packages of hot dogs and 5 packages of hot dog buns, you will have 40 hot dogs and 40 hot dog buns, as requested.

4 0
3 years ago
Read 2 more answers
Which statement is best represented by the inequality c greater-than 3 and one-half?
luda_lava [24]

Answer: Chef Andre used more than 3 and one-half cups of flour.

Step-by-step explanation:

This is the > ‘greater than sign. For the question, we are to get the inequality that shows that"c is greater-than 3 and one-half".

Let Chef Andre be represented by c. Greater than is used to denote a situation when something is."more than" another thing. In this scenario,

Chef Andre used more than 3 and one-half cups of flour. This can be represented as C > 3 1/2.

This is the correct answer.

3 0
3 years ago
Read 2 more answers
21) Answer the question using the information given. Special cube-shaped dice are manufactured having side lengths of in. The di
Elenna [48]

Answer: Hello your question is missing some details but I will provide a general solution based on the scope of the problem and you can plugin the missing value

answer = Volume of rectangular prism box / volume of cube

Step-by-step explanation:

To determine the number of Dice that will fit in the rectangular prism box

First : calculate the volume of the cube box ( dice )

volume of a Cube box : V = L^3       where L = side length  

next : calculate the volume of the rectangular prism box

volume of rectangular prism box = L * b * h

L= length , b = width , h = height

final step : Divide the volume of the rectangular prism box by the volume of the cube box ( dice )

= ( L * b * h ) / ( L^3 )

7 0
3 years ago
How do i solve this
laila [671]
The ratio is 2:3 for the side lengths of the triangles.

so 6:9 is one side and 5:x would be the other side

2/3 of five is 3.33 and multiplying that by 2 gives you 6.67
4 0
4 years ago
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