Question..
Combine like terms to create an equivalent expression.
½ −⅙q +⅚q - ⅓
Answer:
½ −⅙q +⅚q - ⅓ is equivalent to ⅔q + ⅙
Step-by-step explanation:
Given
½ −⅙q +⅚q - ⅓
Required
Equivalence
½ −⅙q +⅚q - ⅓
We start by collecting like terms.
⅚q - ⅙q + ½ - ⅓
Factorize
(⅚ - ⅙)q + ½ - ⅓
((5 - 1)/6)q + ½ - ⅓
(4/6)q + ½ - ⅓
Reduce 4/6 to lowest term
⅔q + ½ - ⅓
Evaluate fraction
⅔q + (3 - 2)/6
⅔q + ⅙
Hence, ½ −⅙q +⅚q - ⅓ is equivalent to ⅔q + ⅙
Answer:
16 packages of muffins
Step-by-step explanation:
1) First you need to find out how many muffins you need total. If each person has two muffins and there are 48 people, how muffins would that be? To find out, multiply 48 and 2 together.
48 * 2 = 96
So now we know that we must have 96 muffins in total
2) Now we have to find out how many muffin packages we will need. If there are 6 muffins in each package and we need to have 96 muffins in total, how many packages will we need? To find out, divide 96 by 6.
96/6 = 16
From this we know that you will need 16 packages
Answer:
<h2>For 6 weeks, the height will be 15 inches</h2>
Step-by-step explanation:
Step one:
given data
the initial height of plant= 3inches
growth in inches per week =2inches per wee
Step two:
for x number of weeks, the height is expressed as

With the given growth function, we can estimate the height of the plant after any number of weeks, say x=6, that is 6 weeks, the height will be
substitute x=6 in the growth function

The answer is 35/64 or 0.546875 in decimal form
first we write all numerators above the least common denominator 64
1+40-6
————
64
next we solve the numerators by doing 1+40-6 to get 35/64