Step-by-step explanation:
Diameter = 2r
= 7.7 = 2r
7.7/2 = r
3.85=r
The segments shown below could form a triangle.
True.
4%
To find the percentage, first find the area of both circles. The area formula is
. After finding the area of the center of the target (19.625) and the area of the large target (490.625), set up a percent proportion to determine the percentage that the center takes up:
Cross multiplying and dividing by 490.625 will give a total of 4%.
fractions:
Fraction is a part of a whole, for example 1/2. Equivalent fractions are fractions that look different but show the same amount. Improper fractions have numerators that are higher than the denominator, while mixed fractions contain whole numbers and fractions.
In order to compare fractions, you need to change them so they have the same denominator. Fractions can be converted into decimals. You need to be able to work out a fraction of a given quantity.
Fractions of a quantity
How do we find 3/5 of 20?
Method 1 is to find 1/5 of 20, then multiply by 3.
1/5 of 20 is 20 ÷ 5 = 4.
We need 3/5 of 20, so we multiply 4 by 3.
3/5 of 20 = 4 × 3 = 12.
you can put this in your calculator:
3/5<span> × 20 = </span>3/5<span> × </span>20/1<span> = </span>60/5<span> = 12</span>
Answer:
17 nickles !
Step-by-step explanation:
First, identify the variables:
n = amount of nickels
d = amount of dimes
Next, setup the equations based on what you know. The first equation is:
n + d = 28
For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:
0.05n + 0.10d = 1.95
This a three-step answer:
In one formula (you can use any of them; most people use the simplest one), single out the variable on one side
Apply the first formula into the second formula, and solve it to get the value of one variable
Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable
======
Step One:
n + d = 28
n + d - d = 28 - d
n = 28 - d
Step Two:
0.05n + 0.10d = 1.95
(0.05 * (28 - d)) + 0.10d = 1.95
1.40 - 0.05d + 0.10d = 1.95
1.40 + 0.05d = 1.95
1.40 - 1.40 + 0.05d = 1.95 - 1.40
0.05d = 0.55
d = 11
Step Three:
n = 28 - d
n = 28 - 11
n = 17
======
Your answer should be 17 nickels and 11 dimes.
You can double check by applying the variables into both formulas.
n + d = 28
17 + 11 = 28
28 = 28
0.05n + 0.10d = 1.95
(0.05 * 17) + (0.10 * 11) = 1.95
0.85 + 1.10 = 1.95
1.95 = 1.95
I hope this helped.
