Answer: 1/2x + 1/3
Step-by-step explanation:
Given:
1/4(x) + 3/4(x) - 1/2(x) + 1 - 2/3
Step 1: Combine like terms
1/4(x) and 3/4(x) have a common denominator of 4. This means that you can add them together.
1/4(x) + 3/4(x) = 4/4(x) = x
Step 2: Find the common denominator of x in step 1 and combine like terms
x - 1/2(x) = 2/2(x) - 1/2(x)
Now that we have the common denominator of x, we can combine like terms. Its the same as adding or subtracting fractions without a variable. In this case, you must subtract 1/2(x) from 2/2(x).
2/2(x) - 1/2(x) = 1/2(x)
Step 3: Find the common denominator of the constants and combine like terms
1 - 2/3 = 3/3 - 2/3
Now combine like terms. Simply subtract 2/3 from 3/3.
3/3 - 2/3 = 1/3
Step 4: Write the simplified equation
1/2(x) + 1/3
This is the answer
<span> answer is 2: 1 x 10^2 –days.
I hope this helps!</span>
Answer:
a. (3x^4 + 6 ) + (2x^2)
b. (X^3 ) + (-x -7)
c. (4.6x^4) + (-1.5x^2)
Step-by-step explanation:
For the first one, we have to write to polynomials, which equal 3x^4 + 2x^2 +6
One possible solution is (3x^4 + 6 ) + (2x^2)
For b, we can do,
(X^3 ) + (-x -7)
And finally for c, we can write,
(4.6x^4) + (-1.5x^2)
Associative property of multiplication means that it doesn't matter where the parentheses are placed because it will still be the same answer.
So your answer would be 1, 4 x (3 x 6) = (4 x 3) x 6
I hope this helps!
x represents the number of lawns weeded by Gwen and y represents the number of dogs walked by Fabio.
Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog.
So, for x number of weeds, Gwen earned 12x and for y number of dogs walked, Fabio earned 9y.
They need at least $510 to purchase the new gaming station.
Therefore,
12x + 9y ≥ 510
Also, the number of dog walks that Fabio has scheduled should not be more than twice the number of yards Gwen has scheduled to weed.
Therefore,
y ≤ 2x
Also, Fabio will walk at least 25 dogs.
Therefore,
y ≥ 25
Hence, the constraints are:
12x + 9y ≥ 510
y ≤ 2x
y ≥ 25
