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Reika [66]
3 years ago
15

A restaurant has 6 1/2 pies in the refrigerator. If it sells 1 3/4 pies each day , how many days will the pies last?

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
6 0

Answer:

\boxed{3}

Step-by-step explanation:

6\frac{1}{2} /1\frac{3}{4} =\frac{13}{2} /\frac{7}{4}=\frac{13}{2} *\frac{4}{7}=\frac{52}{14} =\frac{26}{7} =3.714

pochemuha3 years ago
6 0

Answer:

6 1/2 pies =   26/4 pies and 7/4 are sold per day

It will last

26/4 divided by 7/4 days =

104 / 28 = 26 / 7 = 3.7142857143  days

Step-by-step explanation:

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The number N of cars produced at a certain factory in 1 day after t hours of operation is given by Upper N (t )equals 800 t minu
Elden [556K]

Answer:

The cost C as a function of t is C(t) = 30,000 + 6,400,000 t - 40,000 t²

Step-by-step explanation:

The function N(t) = 800 t -  5t², represents the number of cars produced at a time t hours in a day, where 0 ≤ t ≤ 10

The function C(N) = 30,000 + 8,000 N, represents the cost C​ (in dollars) of producing N cars

We need to find The cost C as a function of the time t

That means Substitute N in C by its function by other word find the composite function (C о N)(t)

∵ C(N) = 30,000 + 8,000 N

∵ N(t) = 800 t - 5 t²

- Substitute N in C by 800 t - 5 t²

∴ C(N(t)) = 30,000 + 8000(800 t - 5 t²)

- Multiply the bracket by 8000

∴ C(N(t)) = 30,000 + 8000(800 t) - 8000(5 t²)

∴ C(N(t)) = 30,000 + 6,400,000 t - 40,000 t²

- C(N(t) = C(t)

∴ C(t) = 30,000 + 6,400,000 t - 40,000 t²

The cost C as a function of t is C(t) = 30,000 + 6,400,000 t - 40,000 t²

5 0
3 years ago
Perform the computation:
adoni [48]

9514 1404 393

Answer:

  √42 ≈ 6.48074

Step-by-step explanation:

Put the values in place of the corresponding variables and do the arithmetic.

  \sqrt{(a)(b)}=\sqrt{(14)(3)}=\boxed{\sqrt{42}\approx6.48074}

_____

42 = 2·3·7 is not a perfect square, nor does it have any perfect square factors. Its square root is irrational.

7 0
3 years ago
If x = 1 is a common root of ax² +ax + 2 = 0 and x² + x + b = 0 , then ab =
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Answer:

ab = 2

Step-by-step explanation:

Given equations

ax² +ax + 2 = 0

x² + x + b = 0

root of both the equation

x= 1

then we can plug in x = 1 in both the equation

ax² +ax + 2 = 0                        x² + x + b = 0

a*1² +a*1 + 2 = 0                        1² + 1 + b = 0

a +a + 2 = 0                                 1 + 1 + b = 0

2a + 2 = 0                                    2 + b = 0

2a = -  2                                         b = -2

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Thus,

a = -1

b = -2

a*b = -1*-2 = 2

ab = 2

6 0
3 years ago
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