The next step Juan will take is to multiply the second fraction by (x-2)/(x-2).
Given that Juan needs to rewrite this difference as one expression (3x/(x²-7x+10))-(2x/(3x-15)) and factor the denominator as (3x/(x-2)(x-5))-(2x/3(x-5)).
An algebraic expression in mathematics is an expression composed of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.
The given expression is (3x/(x²-7x+10))-(2x/(3x-15))
Firstly, we will factored the denominator as
(3x/(x-2)(x-5))-(2x/3(x-5)).
Now, we will multiply and divide the second fraction by (x-2), we get
(3x/(x-2)(x-5))-((2x(x-2))/3(x-5)(x-2)).
Hence, the next step when subtracting these expressions (3x/(x-2)(x-5))-(2x/3(x-5)) is multiply the second fraction by (x-2)/(x-2).
Learn more about algebraic expression from here brainly.com/question/4344214
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Step-by-step explanation:
Given mCDF = (3x + 14), mFDE = (5x - 2), and mCDE = (10x – 18)", then the expression mCDE = mCDF+mFDE is true.
To get x, we will substitute the given angles into the formula as shown;
(10x – 18) = (3x + 14)+ (5x - 2)
10x-18 = 3x+5x+14-2
10x-18 = 8x+12
10x-8x = 12+18
2x = 30
x = 30/2
x = 15
Find the measure of each angle
For mCDF:
mCDF = 3x + 14
mCDF = 3(15)+ 14
mCDF = 45+14
mCDF = 59°
For mFDE:
mFDE = (5x - 2)
mFDE = 5(15) - 2
mFDE = 75-2
mFDE = 73°
For mCDE:
mCDE = (10x – 18)
mCDE = 10(15) - 18
mCDE = 150-18
mCDE = 132°
Answer:
5. The answer is 2
6. Her error is that she was supposed to subtract 16 minus 12 instead of 12 minus 2.
Step-by-step explanation:
For number 5 all I did was solve.
12 + (25 - 5^2) - 2 =
12 + 0 - 2 =
12 - 2 = 10
10 ÷ 5 = 2
So, for number 5 the answer is 2.
For number 6, you should know that when there are only plus and minus signs you solve from left to right.
She instead put parentheses where there shouldn't of been, and because of that she is wrong.
Hope this helps! :)
For this case we have:
x: Represents the number of carrot boxes
y: Represents the number of boxes of potatoes
Initially we have:
If you sold 68 boxes of carrot we have:
If you sold 71 boxes of potatoes, we have:
The number of boxes I take home is given by:
ANswer:
7 boxes of carrots left
There are 9 boxes of potatoes left
A total of 16 boxes remain
1.
The rate at which Leonard bought was 2 packs per x dollars,
that is his buying rate was (2 packs)/(x dollars)=2/x (p/$)
2.
with 1 $ Leonard buys 2/x packs
then
with 5 $ Leonard buys (2/x)*5 = 10/x packs.
Answer: 10/x packs
