Answer:
1. 6/10 – 2/5 =
Ans: 2/10, which can be reduced to 1/5.
2. If a tank is 5/8 filled with solution, how much of the tank is empty?
Ans: 3/8 of the tank is empty. Since the whole tank would equal 8/8, or 1, and 5/8 of it is filled, then that
means 3/8 of it remains empty.
3. 1/2 x 3/5 x2/3 =
Ans: 6/30, which can be reduced to 1/5.
4. 5/9 ÷ 4/11 =
Ans: 55/36. You cannot reduce this fraction any further.
5. Convert 27/4 to a decimal.
Ans: 6.75. This answer is arrived at by dividing 4 into 27.
6. Convert 0.45 to a fraction.
Ans: 45/100, which can be reduced to 9/20.
7. 4.27 x 1.6 =
Ans: 6.832
8. 6.5 ÷ 0.8 =
Ans: 8.125
9. 12 + 4.52 + 245.621 =
Ans: 262.141
Step-by-step explanation:
Answer:
-7/10
Explanation:
Given the expression
We can rewrite the expression as:
The number line showing the location of the two numbers is attached below. Therefore:
8x - 32 = 6 - 9x
17x = 38
x = 38/17
5(x - 3) + 6 = 5x - 9 has no solution
<em><u>Solution:</u></em>
We have to find the number of solutions for the given equation
Given equation is:
5(x - 3) + 6 = 5x - 9
Multiply the terms inside with bracket with constant outside the bracket
5x - 15 + 6 = 5x - 9
Add the constants in left hand side of equation
5x - 9 = 5x - 9
If the coefficients are the same on both sides, then the sides will not equal, therefore no solutions will occur.
Here, 5x - 9 = 5x - 9
The coefficients are same in both sides of equation
Therefore, the equation has no solution
Complete Question:
Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.
Answer:
Step-by-step explanation:
<em>See comment for complete question</em>
Given
Required
Determine how they can show if the products are the same or not
To do this, we simply factorize each polynomial
For, Polynomial A: We have:
Factor out 4x
Apply difference of two squares on x^2 - 4
For, Polynomial B: We have:
Expand x^2 + x - 2
Factorize:
Factor out x + 2
Factor out 4x
Rearrange
The simplified expressions are:
and
Hence, both polynomials are equal
