Answer:
160
Step-by-step explanation:
77 / 48 = 1.604
1.604 x 100 = 160.41 which is about 160 passengers in total.
The length and width of a new rectangle playing field are 214 yards and 52 yards respectively.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
The length of a new rectangle playing field is 6 yards longer than quadruple the width.
Let's suppose the length is l and width is w of a rectangle:
From the problem:
l = 6 + 4w
Perimeter P = 2(l + w)
532 = 2(l + w)
Plug l = 6+4w in the above equation:
532 = 2(6 + 4w + w)
266 = 6 + 5w
260 = 5w
w = 52 yards
l = 6 +4(52) = 214 yards
Thus, the length and width of a new rectangle playing field are 214 yards and 52 yards respectively.
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Total monthly saving = $1,315
<h3>What are savings?</h3>
Saving is the portion of income not spent on current expenditures. In other words, it is the money set aside for future use and not spent immediately.
Given:
Oakland Los Angeles
Cost Housing $565 $1200
Food $545 $655
Health Care $245 $495
Taxes $450 $625
Other Necessities $350 $495
Now,
Saving in house
= $1200 - $565
= $635
Saving in food
= $655 - $545
= $110
Saving in health care
= $495 - $245
= $250
Saving in taxes
= $625 - $450
= $175
Saving in necessities
= $495 - $350
= $145
Total saving = $635+$110+$250+$175+$145
= $1,315
Hence, the monthly savings should be $1,315.
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The complete question is
Benito's family is thinking of relocating from Los Angeles to Oakland to save money. They set up a budget comparing the cost of living for both cities. Oakland Los Angeles Budget Item Cost Cost Housing $565 $1200 Food $545 $655 Health Care $245 $495 Taxes $450 $625 Other Necessities $350 $495 Monthly Total How much money will they save monthly by the move to Oakland? $1315 $1560 $1665 $1765?
The function, as presented here, is ambiguous in terms of what's being deivded by what. For the sake of example, I will assume that you meant
3x+5a
<span> f(x)= ------------
</span> x^2-a^2
You are saying that the derivative of this function is 0 when x=12. Let's differentiate f(x) with respect to x and then let x = 12:
(x^2-a^2)(3) -(3x+5a)(2x)
f '(x) = ------------------------------------- = 0 when x = 12
[x^2-a^2]^2
(144-a^2)(3) - (36+5a)(24)
------------------------------------ = 0
[ ]^2
Simplifying,
(144-a^2) - 8(36+5a) = 0
144 - a^2 - 288 - 40a = 0
This can be rewritten as a quadratic in standard form:
-a^2 - 40a - 144 = 0, or a^2 + 40a + 144 = 0.
Solve for a by completing the square:
a^2 + 40a + 20^2 - 20^2 + 144 = 0
(a+20)^2 = 400 - 144 = 156
Then a+20 = sqrt[6(26)] = sqrt[6(2)(13)] = 4(3)(13)= 2sqrt(39)
Finally, a = -20 plus or minus 2sqrt(39)
You must check both answers by subst. into the original equation. Only if the result(s) is(are) true is your solution (value of a) correct.
Due the parentheses first so 16+4+11*2-21 then multiply 16+4+22-21 from here you can answer left to right 20+4+22-21 then 24+1=25
