Cost of 25 pound flour is $30.75.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Price of 3 pound flour = $3.69
She needs 25 pounds of flour to make enough cookies for a bake sale.
Now, Price of 3 pound flour = $3.69
Hence, Cost of 1 pound flour = $3.69 ÷ 3 = $1.23
So, Cost of 25 pound flour = 25 x $1.23
= $30.75
Therefore, Cost of 25 pound flour is $30.75.
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Move the number to the right by adding it's opposite to both sides.
6p+3-3>15-3
6p>15-3
Subtract the numbers.
6p>15-3
6p>12
Divide both sides by the inequality by 6.
6p÷6>12÷6
Any expression divided by itself equals 1.
6p÷6>12÷6
P>12÷6
Now you calculate the quotient.
12÷6
The answer is p>2
Answer:
![800\sqrt{5}](https://tex.z-dn.net/?f=800%5Csqrt%7B5%7D)
Step-by-step explanation:
Given: ![\large (20)^\text{$ \dfrac{5}{2} $}](https://tex.z-dn.net/?f=%5Clarge%20%2820%29%5E%5Ctext%7B%24%20%5Cdfrac%7B5%7D%7B2%7D%20%24%7D)
Properties of Exponents:
<u>Rational Exponent Property</u>: ![\large x^\text{$ \dfrac{m}{n} $} = \large \text{$ \sqrt[n]{x^m} $}](https://tex.z-dn.net/?f=%5Clarge%20x%5E%5Ctext%7B%24%20%5Cdfrac%7Bm%7D%7Bn%7D%20%24%7D%20%3D%20%5Clarge%20%5Ctext%7B%24%20%5Csqrt%5Bn%5D%7Bx%5Em%7D%20%24%7D)
- a number raised to a fraction, can be converted to a radical.
- the numerator becomes the exponent, and the denominator becomes the index of the radical.
<u>Product of Powers Property:</u>
- when multiplying powers with the same base, add the exponents.
1. Convert into a radical:
![\sqrt[2]{20^5} \implies \sqrt{20^5}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B20%5E5%7D%20%5Cimplies%20%5Csqrt%7B20%5E5%7D)
2. Simplify the expression:
![\sqrt{20^2\times20^2\times20^1}\\\\\implies \sqrt{20^4\times20}\\\\\implies 20^2\sqrt{20}\\\\\implies 20^2\sqrt{4\times5}\\\\\implies 20^2\times2\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B20%5E2%5Ctimes20%5E2%5Ctimes20%5E1%7D%5C%5C%5C%5C%5Cimplies%20%5Csqrt%7B20%5E4%5Ctimes20%7D%5C%5C%5C%5C%5Cimplies%2020%5E2%5Csqrt%7B20%7D%5C%5C%5C%5C%5Cimplies%2020%5E2%5Csqrt%7B4%5Ctimes5%7D%5C%5C%5C%5C%5Cimplies%2020%5E2%5Ctimes2%5Csqrt%7B5%7D)
3. Evaluate the power:
![20\times20\times2\sqrt{5}\\\\\implies 400\times2\sqrt{5}](https://tex.z-dn.net/?f=20%5Ctimes20%5Ctimes2%5Csqrt%7B5%7D%5C%5C%5C%5C%5Cimplies%20400%5Ctimes2%5Csqrt%7B5%7D)
4. Multiply:
![(400\times2)\sqrt{5}\\\\\implies800\sqrt{5}](https://tex.z-dn.net/?f=%28400%5Ctimes2%29%5Csqrt%7B5%7D%5C%5C%5C%5C%5Cimplies800%5Csqrt%7B5%7D)
Answer:
Yes, the estimate given is reasonable.
Explanation:
If we do the maths of this question with estimates, we can guess that the average mileage be about 26 or nearly 25 for easy calculation.
If each friend drives between 57 and 63, then the average be about 60.
So for a person with a mileage of 25 to go nearly 60 miles, he would have to use nearly 2.5 gallons. Therefore, for the 3 friends, it would be 2.5*3 = 7.5 nearly 7 gallons.
Thus his estimation was reasonable.