Answer:
1 is neither prime nor a composite number because it only has 1 divisor, 1 and 1, and it doesn't have more than 2 integral divisors, like stated, it only has 1. So it falls in neither category.
There are 20 nickels and 16 quarters
<em><u>Solution:</u></em>
Let "n" be the number of nickels
Let "q" be the number of quarters
We know that,
1 nickel = 0.05 dollar
1 quarter = 0.25 dollar
<em><u>Gabby has a bag containing 36 nickels and quarters</u></em>
Therefore,
n + q = 36
n = 36 - q ------- eqn 1
<em><u>The total value of the coins is $5</u></em>
<em><u>Thus we frame a equation as:</u></em>
number of nickels x 1 nickel + number of quarters x 1 quarter = 5
0.05n + 0.25q = 5 ------- eqn 2
<em><u>Substitute eqn 1 in eqn 2</u></em>
0.05(36 - q) + 0.25q = 5
1.8 - 0.05q + 0.25q = 5
0.2q = 3.2
q = 16
<em><u>Substitute q = 16 in eqn 1</u></em>
n = 36 - 16
n = 20
Thus there are 20 nickels and 16 quarters
To find the value of x, and then find the angles of triangle RST, we first need to set up an equation equal to 180.
First, the equation = 180:
We have 31, x+4, and 3x+9.
What we can do is make an equation in which adds the angles to equal 180.
As so:
31 + x + 4 + 3x + 9 = 180
Combine like terms:
31 + x + 4 + 3x + 9 = 180
44 + x + 3x = 180
44 + 4x = 180
Now, we need to simplify this further by subtracting 44 from each side:
44 - 44 + 4x = 180 - 44
4x = 136
Next, to simplify this equation <em>even</em> further, we need to divide each side by 4 (Resulting in the x being alone on one side of the equation.)
4x / 4 = 136 / 4
x = 136 / 4
x = 34
Awesome! We now know that x = 34!
However, we are not completely finished with this problem. Let's continue.
To find the angles of S and T, we need to substitute 34 in for x:
S:
(x + 4)
(34 + 4)
38 <em>degrees</em>
T:
(3x + 9)
(3(34) + 9)
(102 + 9)
111 <em>degrees
</em>
<em />Amazing! We now can conclude all of the angles' measurements:
<em>R</em> = 31
<em>S</em> = 38<em>
</em><em>T = </em>111
Also, x = 34.
Hope I could help you out! If my math is wrong or it isn't the answer you were looking for, please let me know!
Have a good one.
The answer is 100/11 to ur question
You calculate the markup or markdown in absolute terms (you find by how much the quantity changed), and then you calculate the percent change relative to the original value. So they're really just another form of "increase - decrease" exercises.
Example:
A computer software retailer used a markup rate of 40%. Find the selling price of a computer game that cost the retailer $25.
The markup is 40% of the $25 cost, so the markup is:
(0.40)(25) = 10
Then the selling price, being the cost plus markup, is:
25 + 10 = 35
The item sold for $35.
