Answer: 34 stuffed animals & 17 mystery boxes.
First off, split 51 into three parts, trying to find how much 1/3 is of 51. It equals 17.
The stuffed animals in the machine are “twice as much” of the mystery boxes, so you need to multiply 17 x 2 to find the amount of stuffed animals.
17 x 2 = 34
As for the mystery boxes, you need to multiply it by one.
17 x 1 = 17.
In summary, the answer is 34 stuffed animals and 17 mystery boxes.
Answer: 1-17/30, or 47/30
Step-by-step explanation:
Find the common denominator. In this case, it’s 30. Multiply the numerators to fit the new denominator. (10•3=30, so 9•3=27, and 2•10=20.)
Your new fractions are 27/30 and 20/30. Now add the numerators.
27+20=47.
Your new fraction is 47/30.
Now check if you can simplify. Since 47 is a prime number, this fraction is in its simplest form. However, it is an improper fraction, so you can simplify it to 1-17/30.
When multiplying variables with exponents, all you have to do is to add the exponents and that’s the ‘product.’
So;
(3y^10)(2y^2) is equal to (3)(2)(y^10+2).
6y^12/8y^5
When dividing exponents, you do the opposite and subtract the exponents. And you divide the whole number by half.
6y^12/8y^5 = 3y^7/4
Answer:
The midpoint is (-2,7)
Step-by-step explanation:
To find the x coordinate of the midpoint, take the x coordinates of the endpoints, add them and divide by 2
(-9+5)/2 = -4/2 =-2
To find the y coordinate of the midpoint, take the y coordinates of the endpoints, add them and divide by 2
(3+11)/2 = 14/2 = 7
The midpoint is (-2,7)
