Answer:
114
Step-by-step explanation:
If you use the hint you get...
1st term is -102
Common difference is 4
Desired term is 55
Therefore....
-102 + 4(55-1)
-102 + 4(54)
-102 + 216
114
Part A
Use the FOIL rule to expand out the expression below
(2x+7)(5x+9)
2x*5x + 2x*9 + 7*5x + 7*9
10x^2 + 18x + 35x + 63
10x^2 + 53x + 63 is the final answer for part A
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Part B
The degree is 2. This is a quadratic trinomial.
The degree is simply the largest exponent after expanding everything out. The degree directly determines the type of polynomial. Since the degree is 2, we have a quadratic. The polynomial is a trinomial because it has 3 terms.
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Part C
Imagine we had a machine in which we deposit 2 coins into it. One would happen on either side. After the coins are deposited, a third coin pops out. The 2 coins going in and the third coin coming out are the same currency. This represents an example of closure.
In mathematics, the idea of closure is taking any two objects of the same type, applying an operation on them, and getting the same type of object as the input.
For example, we could take two whole numbers and multiply them together. The result is always a whole number. The set of whole numbers is closed under multiplication because you can't leave the set (hence the gate is closed not letting anything out).
Similarly, taking any two polynomials and multiplying them together will always lead to some other polynomial. Part A shows this in action because (2x+7), (5x+9) and 10x^2 + 53x + 63 are all polynomials.
Answer:
0.143
Step-by-step explanation:
You need to convert 1/7 to have a denominator of either 100 or 10. We can do 100.
1/7 = ?/100
then you need to divide 100/7 to find the scale factor which in this case is 14.286
then you can insert it into the equation
1/7 = 1 * 14.286/100
you end up with
14.286/100
then you can dived the two
0.14286 is what you end up with
but since it says rounded to the 3rd decimal place you go to the 3rd which is 2.
To round it you look at the 4th number which is 8.
<em>5 and above give it a shove up</em>
So now its 0.143
Hope this helped :)
Answer:
91,858
Step-by-step explanation:
This is the right answer
Answer:
300
Step-by-step explanation:
Let x represent the number of adults in the zoo at 12 pm. Then the number of children at that time is 855 -x.
The number of remaining children is 1/5 of the number at 12 pm, so is ...
(855 -x)/5
The number of remaining adults is 1/4 of the number at 12 pm, so is ...
x/4
There are 36 more remaining children, so we have ...
(855 -x)/5 -x/4 = 36
171 -9x/20 = 36 . . . . . collect terms
135 = 9x/20 . . . . . . . . add (9/20)x-36
(20/9)(135) = x = 300 . . . . . multiply by 20/9
There were 300 adults in the zoo at 12 pm.
