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iragen [17]
3 years ago
11

LAST ONE GUYS...PLS HELP ASAP!! y is inversely proportional to x. Given that y=10 when x=2, find the value of y when x=5

Mathematics
1 answer:
Fantom [35]3 years ago
7 0

Answer:

y = 4

I hope it helps

Step-by-step explanation:

y \alpha  \frac{1}{x}  \\ y =  \frac{k}{x}  \\ 10 =  \frac{k}{2}  \\

k = 20 \\ y =  \frac{20}{x}  = formula \: connecting  \\ \: x \: and \: y \\

x = 5 \\ y = \\ y =  \frac{20}{x}  \\ y =  \frac{20}{5}  \\

5y = 20 \\  \frac{5y}{5}  =  \frac{20}{5}  \\ y = 4

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Suppose about 400,000 people live in an area of 160 square miles. What is the best estimate for the population density?
blondinia [14]

Answer:

2500 people PER square mile

Step-by-step explanation:

THe population density is the population per unit area.

Here,

Given:

Population = 400,000

Total Area = 160 sq. miles

To get population density, we would need the population PER UNIT AREA, per miles.

We can get that by dividing the total population by total area:

400,000/160 = <u>2500 people PER square mile</u>

This is the population density.

5 0
4 years ago
If the interest rate on a savings account is 0.02%, approximately how much money do you need to keep in this account for 1 year
astraxan [27]
At first glance, this problem might be overwhelming so try approaching it slowly by doing these steps:

Step 1: Start by understanding what the problem is really asking.
You might notice that the problem is just a percentage problem, with a twist! If you still don't see it, the problem is just asking what the base should be given a percentage and the amount.

Step 2: Recall the concepts relevant to the question.
We can identify a single formula that will be important in getting the answer:
base*percent=amount

Step 3: Apply the concept to the context of the problem.
You'll see that we already have the percent from the interest rate which is 0.02% and the amount from the below-minimum-balance fee which is $9.99.

There goes the little twist: you have to manipulate the equation to get the base. Dividing both sides of the equation by the percent we'll have:
base= \frac{amount}{percent}

Step 4: Evaluate to get the answer to the problem.
We simply substitute the given numbers and evaluate.
base= \frac{percent}{amount}= \frac{9.99}{0.0002} =49,950

Answer: You need $49,950 in the account to cover the Below-Minimum-Balance Fee from your interest.
5 0
4 years ago
Read 2 more answers
There are 15 apples, 13 oranges and 12 bananas in a large box. Without looking, Tim chooses one fruit puts it on a table, and th
neonofarm [45]

Answer:

I don’t know the answer choices but there is a high probability of him choosing an apple first

Step-by-step explanation:

It is because there are more in the box, there is also a high probability of him choosing an orange next but it will not be a pattern. Sorry if I’m wrong :(

3 0
3 years ago
Rewrite the equation to identify the center of the circle and the radius.
Hatshy [7]
Standard Form : ( x - 1 ) ^2 + ( y + 3 ) ^2 = 5
Center of the circle : ( 1 , -3 )
Radius: line mark over 5
8 0
3 years ago
For which two beverages is the difference between the prices the greatest? what is the difference?
Anton [14]

Answer:

The biggest difference is between fruit juice and lemonade ($0.6).

Step-by-step explanation:

Giving the following information:

items:

fruit juice. $0.89

iced tea. $1.29

lemonade. $1.49

pretzel. $2.50

popcorn. $1.25​

First, popcorn and pretzel are not beverages.

<u>Now, we need to find the differences in prices between each beverage and determine the greatest:</u>

Fruit juice to ice tea= 0.89 - $0.4

Fruit juice to lemonade= 0.89 - 1.49= $0.6

Ice tea to lemonade= 1.29 - 1.49= $0.2

The biggest difference is between fruit juice and lemonade ($0.6).

6 0
3 years ago
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