<span>1. 5564÷91
I know that 9 * 6 = 56
5564 rounds to 5600
91 rounds to 9
Since 56/9 = 6, then 5600/90 is the same as 560/9 = 60
The estimate is 60
2. </span><span>5391÷25
5391 sounds to 5400
25 is 1/4 of 100.
That means when you divide by 25, you can divide by 100 and multiply by 4.
5400/100 = 54
54 * 4 = 216
Estimate: 216
3. </span><span>explain how to estimate 498÷12
48/12 = 4
498 is little more than 480, so 498/12 is little more than 40
4. </span><span>which is the closest estimate for 2130÷ 33
A.7 B.17 C.70 D.700
2130/33
Round off the numerator and denominator to
2100/30
Reduce the fraction
210/3
Since I know that 21/3 = 7, then 210/3 = 70
Estimate: 70
</span>
Answer:
2w + 4
Step-by-step explanation:
2/5(5w + 10)
2w + 4 ## ^ 2/5ths of 5 is 2, and 2/5ths of 10 is 4. (Distributive POE)
The simplification of rational expression (x²+6x-7)/(x²+9x+14) gives
(x-1)/(x+2).
<h3>What is factorisation?</h3>
A polynomial or integer is simply resolved into components that, when multiplied together, produce the original or starting polynomial or integer.
- The factorization method allows us to simplify any algebraic and quadratic equation by representing the equations as that of the product or factors rather than by expanding the brackets.
- Any equation can have an integer, a variable, or the algebraic expression itself as a factor.
The given expression is -
= (x²+6x-7)/(x²+9x+14)
Factorising both numerator and denominator;
= {x+7x-x-7} / {x+7x+2x+14}
= {x(x+7)-(x+7)} / {x(x+7)+2(x+7)}
= {(x+7)(x-1)} / {(x+7)(x+2)}
Cancel the (x+7),
= (x-1)/(x+2)
Therefore, the simplification of the given equation is (x-1)/(x+2).
To know more about factorisation, here
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Answer:
40.1%
Step-by-step explanation:
I am assuming that 192 is in 100%.
100% = 192
I then represent the value that we are looking for with 
.
x% = 77
By dividing both equations (100% = 192 and x% = 77) and remembering that both left hand sides of BOTH equations have the percentage unit (%).
Now, of course, we take the reciprocal, or inverse, of both sides:
x = 40.1%
Thus making the answer: 40.1% of 192 is 77.
