10) The GCF of a set of numbers is the largest number that divides into both numbers.
The GCF of 24 and 36 is 12.
15)
can be simplified by dividing the top (numerator) and the bottom (denominator) by the GCF. The GCF of 30 and 54 is 6. The new fraction is
. 6/9
20) The GCF of
is 11. The new fraction is
. 5/8
Answer: The dimensions are 10 2/3 feet by 5 1/3 feet (Ten and two-thirds and five and one third).
Step-by-step explanation: This is our system of equations:y=Lengthx=Widthy=2x2x+2y=32We can substitute the y value in the second equation by plugging in the first equation: 2x+2(2x)=322x+4x=326x=32x=16/3 or 5 1/3We can plug in this x value into the first equation to find the y value:y=2(16/3)y=32/3 or 10 2/3
Now, for a rhombus, all sides are the same length, and the diagonals bisect the vertex they cut, so they cut them in halves, and they also meet at right-angles, and cut each other in halves as well
that means, if the angle is 108, the shorter diagonal will cut that in two equal angles, of 54 each, check the picture below
and since they each other cut in halves where they meet, one side of the shorter diagonal will then be half of 9, or 9/2 or 4.5
since the angle is in degrees, make sure your calculator is in Degree mode
The answer is 7/5 th. You can add fractions without first having a common denominator so you would change the 8's by multiplying it by 5 to get 40 and you would multiply the 5 by 8 to get 40 as well. And the rule whatever you do to the bottom you have to do to the top so whatever you multiplied 8 by do the same for the numerator and whatever you multiplied 5 by you do the same for the numerator. So your new equation would be (75/40+16/40)+(-35/40). you would then add the numerator's across to get 56 and the denominator would stay the same so the answer is 56/40. But you have to now simplify 56/40 down to 14/10 and then once more to 7/5 which is the final answer.
The inequality that describes this scenario is:

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- The entrance fee is of $18.
- Each paintball costs $0.08.
- Thus, the cost of buying B paintballs is given by:

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- For the promotion, the spending must be of at least $75, thus, the inequality that describes this scenario is:


A similar problem is given at brainly.com/question/22312773