1/4 + 3/8
Rewrite with the LCD (lowest common denominator)
Remember : the denominator is just the bottom number on a fraction.
Let's look at both of our given fractions denominator's.
4 & 8 → What do both of these numbers have in common? They both go into 8!
How many times does 4 go into 8? → Twice
How many times does 8 go into 8? → Once
So, because of that, we must multiply the top number (numerator) of each fraction with either one, or two.
First fraction : 1/4 × 2/2 =2/8 → So, our first fraction changes.
Second fraction : 3/8 × 1/1 = 3/8 → However, our second fraction changes.
So, our new question looks like this : 2/8 + 3/8
If you wanted us to answer this question, we simply need to add the top numbers (numerators) with one another because both fractions have the same bottom numbers (denominators).
2 + 3 = 5
So, our answer is 5/8 and our question rewritten with the LCD is : 2/8 + 3/8
~Hope I helped!~
Answer:
Step-by-step explanation:
we can use reciprocals to solve this
(5/32)/(25/4) = (5/32)*(4/25) = 20/(32*25) = 20/800 = 2/80 = 1/40 = .025
rewrite
so reciprocals is a method in which division can be turned into fractions which can be turned into multiplication
heres an example
x/2=0.5x
y/4=0.25y
so 0.5x/0.25y would be the same as (x/2)/(y/4) which can be converted to a reciprocal where it would look like (x/2)*(4/y) which makes our answer 4x/2y which we can simplify to 2x/y
same concept for (5/32)/(25/4), first we can make it into a reciprocal (note, reciprocal means just flipping one of the fractions and replacing the division sign as multiplication) by writing (5/32)*(4/25)
now we multiply numerator by numerator to get 20
and we multiply denominator by denominator to get 800
20/800 = 2/80 = 1/40
If we look at where it is now, we would have multiplied the x and y values by 1/2. since we are working backwards, lets multiply by 2 instead...giving us the vertex for the pre-image....
J is now (0, -2) multiply by 2
J was (0, -4)
Answer:
A
Step-by-step explanation:
50 percent is 50/100 and you are trying to find x which is half of 70. A would make the most sense. X should =35
9514 1404 393
Answer:
y = 1 · 5^x
Step-by-step explanation:
Use the given values in the given formula and solve for 'a' and 'b'.
y = a·b^x
5 = a·b^1 . . . . . . for (x, y) = (1, 5)
125 = a·b^3 . . . . for (x, y) = (3, 125)
Divide the second equation by the first:
125/5 = (a·b^3)/(a·b^1)
25 = b^2 . . . simplify
5 = b . . . . . . . take the square root
Substituting into the first equation, we can find 'a':
5 = a·5
1 = a . . . . . . . divide by 5
Written in the given form, the equation is ...
y = 1 · 5^x
