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>
<span>Clarke
borrows $16000 to buy a car he pays simple interest at an annual rate of 6%
over a period of 3.5 years how much does he pay all together?
Let’s calculate
=> 16 000 dollars is the amount he borrowed
=> 6% is the annual interest
=> 3.5 years us the total years that he will be paying it.
Solutions:
=> 16 000 dollars * .06 = 960 dollars is the annual interests
=> 960 * 3.5 = 3 360 dollars for 3.5 years
=> 16 000 + 3 360 = 19 360 dollars
</span>
Answer:
41
Step-by-step explanation:
an = a1 + (n-1)d
a_n = the nᵗʰ term in the sequence = 10
a_1 = the first term in the sequence = 5
d = the common difference between terms = 4
a10 = 5 + (10-1)4
a10 = 5 + (9)4
a10 = 5 + 36
a10 = 41
Given: Yu, Nailah, and Elena each bought between 7 and 9 yards of ribbon Yu bought 3 pieces of ribbon. Nailah bought 5 pieces of ribbon. Elena bought 6 pieces of ribbon.
To find: Who can buy which ribbon
Solution:
Ribbon Sizes
1 2/3 = 5/3 yard
4/5 yard
3 1/2 = 7/2 Yard
Yu, Nailah, and Elena each bought between 7 and 9 yards of ribbon
Yu bought 3 pieces of ribbon
=> 3 * 5/3 = 5
3 * 4/5 = 2.4
3 * 7/2 = 10.5
Nailah bought 5 pieces of ribbon
=> 5 * 5/3 = 8.33
5 * 4/5 = 4
5 * 7 /2 = 17.5
Elena bought 6 pieces of ribbon
=> 6 * 5/3 = 10
6 * 4/5 = 4.8
6 * 7 /2 = 21
Only value between 7 & 9 is 5 * 5/3 = 8.33
hence Nailah only can buy 1 2/3 = 5/3 yard ribbon
or there is some mistake in the data
Answer:
16x^2-24xy+9y^2.
Step-by-step explanation:
Since this is in the form of (x-y)^2, we can plug it into x^2-2xy+y^2.
So, we get 16x^2-24xy+9y^2.
