Hello! So, 25% of the 60 tables seat two people. To find this number, multiply 60 by 25%. 60 * 25% (0.25) is 15. 15 of them seat 2 people and 15 * 2 is 30.The other 45 tables seat 4 people. When you multiply both number, you get 180. Now, let's add the numbers together. 180 + 30 is 210. There are 210 seats in the restaurant. The answer is C: 210.
<h3>
Answer: 2z^3</h3>
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Explanation:
The GCF of the coefficients {6, -42, 14} is 2 as it is the largest factor found in each of the three values.
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For the variable portions, we can
- write z^5 as z^3*z^2
- write z^4 as z^3*z^1
- write z^3 as z^3*1
Each time we see z^3 show up, so this is the largest common factor among the three variable terms.
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The two results we got were 2 and z^3
Putting the two results together, we end up with the overall GCF of 2z^3
10.71% is 9% of 84.
So 10.71% is the answer.
For problems like this, change the wording into simple algebraic
formulas. We know that the area of a rectangle is its width times its
length, or A=LW. The problem tells you that the area is 48, so LW=48.
Also, if the length = twice the width minus 4, then L=2W-4.
From here, substitute your new L value for the L in the first equation:
48=LW --> 48=(2W-4)W
Now solve this equation by factoring it out into a polynomial:
48=2W^2-4W --> 24=W^2-2W --> W^2-2W-24=0 --> (W+4)(W-6)=0.
Solving this equation gives us W values of 6 and -4, but since the width
of a rectangle cannot be negative, the width must be 6.
Since L=2W-4, then L=2(6)-4 --> L=12-4 = 8. Therefore, the dimensions are 6X8, or 6 feet by 8 feet.
To check our work: The length equals four feet less than twice the width: 8=2(6)-4 --> 8=12-4 --> 8=8. This checks out.
Also, the area is 48 ft^2, and (6)(8) = 48, so this also checks out.
Hopefully this helps. If you need any more help or if I went over something too quickly, just let me know.
