<span>No, 7 is a natural number divisible by 7 and not 14 for example. In fact every odd multiple of 7 (i.e. 7 times 1,3,5,7,...) is divisible by 7 and not 14.</span>
Answer:
x = 4
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y =
← k is the constant of variation
To find k use the condition y = 8 when x = 10
k = yx = 8 × 10 = 80
y =
← equation of variation
When y = 4, then
4 =
( multiply both sides by x )
4x = 80 ( divide both sides by 4 )
x = 20
The function is :

,
which means that "g of a number" is equal to "negative, the square of that number".
According to the function we calculate g(0), g(-3), g(3) as follows:

This means that we have the points (0, 0), (-3, -9), and (3, -9) lying on the graph of the function.
Answer: (0, 0), (-3, -9), (3, -9)
$137.5 is the money does Nancy have.
<u>Step-by-step explanation:</u>
The given information are,
- Steve has a total money = 55
- Nancy has a money = 250% as much money as Steve.
We know that, from the given data the money that Steve has is 55.
This means that, Nancy has money = 250% of 55.
Let us assume,
x be the total money that Nancy have.
Therefore, x = 250% of 55.
The percentage can be represented as 1 divided by 100.
⇒ x = (250 × 1/100) × 55
⇒ x = 2.5 × 55
⇒ x = 137.5
The money does Nancy have is 137.5
Answer:
About 3 years
Step-by-step explanation:
8% in decimal form is just moving the decimal place of 8 two places over to the left and adding. So 8 turns into 0.08, add the 1, and that gives you 1.08.
Multiply that 1.08 by the money initial money, 12,000, and put an x next to the 1.08 in parentheses to symbolize the unknown amount of time in years. We're looking for the number (x) that will make our equation equal 37,920 so we will make our equation equal that.
37920 = 12000(1.08x)
To get the x alone, divide both sides by 12000. This cancels out the 12000 on the right side which leaves the x by itself
=
(1.08x)
3.16 = 1.08x
Divide by 1.08 on both sides to cancel 1.08 out to leave the x by itself
= 
2.9 = x
Round the 2.9 up like instructed and that makes it 3 years.