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Tomtit [17]
2 years ago
12

One-stray Problem Solving

Mathematics
1 answer:
anygoal [31]2 years ago
3 0
A) 5000 m²
b) A(x) = x(200 -2x)
c) 0 < x < 100
Step-by-step explanation:
b) The remaining fence, after the two sides of length x are fenced, is 200-2x. That is the length of the side parallel to the building. The product of the lengths parallel and perpendicular to the building is the area of the playground:
A(x) = x(200 -2x)
__
a) A(50) = 50(200 -2·50) = 50·100 = 5000 . . . . m²
__
c) The equation makes no sense if either length (x or 200-2x) is negative, so a reasonable domain is (0, 100). For x=0 or x=100, the playground area is zero, so we're not concerned with those cases, either. Those endpoints could be included in the domain if you like.
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help here plz ! …..A taxi company charges a flat fee of $6.00, plus $1.10 per mile after the first 3 miles. Sarah’s taxi cab rid
Igoryamba

Answer:

2.5 miles

Step-by-step explanation:

22.50-6=16.50

16.50÷3=5.5

5 0
3 years ago
Read 2 more answers
A and B are postive integers such that 1/a + 1/b +1/ab = 1. Find ab
Kitty [74]

Answer: ab =6

have:

\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\\frac{a+b+1}{ab}=1

=> a + b + 1 = ab

⇔ a + b + 1 - ab = 0

⇔ b - 1 - a(b - 1) + 2 = 0

⇔ (b - 1)(1 - a) = -2

because a and b are postive integers => (b - 1) and (1 - a) also are integers

=> (b - 1) ∈ {-1; 1; 2; -2;}

(1 -a) ∈  {-1; 1; 2; -2;}

because (b -1).(1-a) = -2 => we have the table:

b - 1        -1             1              2             -2

1 - a         2            -2            -1              1

a              -1            3             2              0

b              0            2             3              -1

a.b            0           6             6               0

because a and b  are postive integers

=> (a;b) = (3;2) or (a;b) = (2;3)

=> ab = 6

Step-by-step explanation:

4 0
3 years ago
How do I solve this I don't understand it
Free_Kalibri [48]
Here’s how u do it ^

7 0
3 years ago
the trailer cost one-fourth as much as the boat. the total cost of both is 4,000 how much did each cost
Katarina [22]

Answer: Boat  cost $ 3200

Trailer cost $ 800

Step-by-step explanation:  From the statement , the coat of Trailer (t) = 1/4 of the coat of the boat ( b)

i.e t = 1/4b

multiply through by 4

4t = b

both cost 4,000

i.e t + b = 4000

recall: b = 4t

therefore

t + 4t = 4000

5t      = 4000

       t = 4000/5

       t = 800

       b = 4000 - 800

       b = 3200

4 0
3 years ago
Josh has a savings account at a bank that charges a $10 fee for every month his balance falls below $1,000. What will his balanc
enyata [817]
<span> $843.44 is the answer to this problem

</span>
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3 years ago
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