It is E. 25:10 simplifies to 5:2.
Answer:
We have that the sum of two numbers is 9
this can be written as:
x + y = 9
where x is the larger number.
Now we want to write:
"the difference between one more than the larger number and twice the smaller number"
First, remember that the difference between A and B is:
A - B
Then "the difference between one more than the larger number and twice the smaller number"
is:
"one more than the larger number" = ( x + 1)
"twice the smaller number" = 2*y
the difference between these is:
(x + 1) - 2*y
Now we can simplify:
We know that:
x + y = 9
then:
y = 9 - x
replacing that in the equation:
(x + 1) - 2*y
we would get:
x + 1 - 2*(9 - x)
x + 1 -18 + 2x
(x + 2x) + (1 - 18)
3x - 17
This means that we can write:
"the difference between one more than the larger number and twice the smaller number"
as: 3x - 17
<h3>
Answer: (-infinity, 7]</h3>
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Explanation:
The first interval (-infinity, 3) describes any number less than 3, so we can write x < 3 in short hand (where x is the unknown number).
The second interval (-1, 7] means we start at -1 and stop at 7. We do not include -1 but include 7. So we say that 
(ie x is between -1 and 7; exclude -1, include 7)
If you were to graph each ona number line, you would see that the too intervals have overlapping parts. The right most edge extends out as far as x = 7. There is no left most edge as it goes onforever that direction.
Therefore, the to intervals combine to get 
which turns into the interval notation answer of (-infinity, 7]
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It might help to think of it like this: x < 3 and say "x is some number that is less than 3, or it is between -1 and 7". So x could be anything less than 7, including 7 itself.
Answer:
d. Cluster
Step-by-step explanation:
Random: Random is asking a group of people from a population. For example, to estimate the proportion of Buffalo residents who are Bills fans, you ask 100 Buffalo residents and estimate to the entire population.
Systematic: Similar to random. For example, you want to estimate something about a population, and your sample is every 5th people you see on the street.
Cluster:Divides the population into groups, with geographic characteristics.. Each element is the groups is used. Suppose you want to study the voting choices of Buffalo Bills players. You can divide into offense, defense and special teams, and ask each player of these 3 groups.
Stratified: Done on a group of clusters, that is, from each cluster(group), a number of people are selected.
In this problem, we have that:
All employees at three stores of a large retail chain were asked to fill out a survey.
Divided by clusters(stores).
So the orrect answer is:
d. Cluster
Answer:
A. Total Money Contributed after n months = 
B. Total Money Contributed after 24 months = 
Step-by-step explanation:
Given:
Initial contribution = 
each month contribution =
After 1 month contributed = 
Solving for Part A
let n be the number of months
∴ Total Contribution after n months = Initial contribution + (each month contribution 
Number of months = 
Solving for Part A
Now n= 24 months
∴ Total Contribution after 24 months = 
