Answer: 4600
Step-by-step explanation:
Jack divided his fortune of 92,000 into 8 equal parts. This means a part will be equal to:
(92000 ÷ 8) = 11500.
He gave 4 parts to his wife. This means his wife has:
(11500 × 4) = 46000.
1 part to his son means that his son has: (1 × 11500) = 115000.
He gave the last 3 parts and evenly it among 5 charities. This means:
(3 × 11500) = 34500 was shared among 5 charities. Each charity will get: (34500 ÷ 5) = 6900
To calculate how much more money did his son get than the charities will be:
11500 - 6900 = 4600
the area of land is 4.9*6.2*0.225=6.8355m^3 (6.8355m^3/0.87≈7.85 yes you have enough
Answer:
65 feet and 2 inches
Step-by-step explanation:
to find the area of a rectangle you need to multiply length times width in this case 17" times 3'10". But first you must convert everything into the same form(in this case feet) so first you can convert everything to inches by multiplying 3 times 12 which gives you 36 then add the 10, so it is now 46 inches then multiply that by 17 and altogether it is 782 inches, then divide by 12 (to convert it back to feet) and the answer is 65.1666666667. After you can round and get 65 feet and 2 inches.
Answer:

Step-by-step explanation:
Since we know we only have 640 feet of fence available, we know that L + W + L = 640,
2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L
Remember, the area of a rectangle is equal to the product of its width and length, therefore,
Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.
recall,
Since our function is A(L)=640L-2L², we get
plug in the value of a and b into the first formula:


hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>
and we're done!
Answer:
The numerator factors to
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The denomenator factors to
