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2 years ago

12

A baker had eighteen boxes for donuts. He ended up making seven hundred sixty-three donuts and splitting them evenly between the

boxes. How many extra donuts did he end up with?

1 answer:

sukhopar [10]2 years ago

4 0

Answer:

7

Step-by-step explanation:

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Samuel collected 30 signatures from fifth-grade students at his school. He noticed that 3/5 of the signatures were done in penci

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Answer:

30 / 5 = 6.

6x3=18

Step-by-step explanation:

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2 years ago

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Is the result of a-b a polynomial?

yuradex [85]

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Sheila works 8.5 hours per day on Monday,Wednesday and Friday, and 6 hours per day on Tuesday and Thursday.she earns $356.25 per

Artist 52 [7]

Answer:

9.50/ per hour

Step-by-step explanation:

adding the 8.5 x 3 (M/W/F)

plus the 6 x 2 (T/TH)

= 37.5 hours

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2 years ago

A small metal bar, whose initial temperature was 10° C, is dropped into a large container of boiling water. How long will it tak

IgorC [24]

Answer

According to newton law of cooling

$\dfrac{d T}{dt} = k (T - T_a)$

and

$T = Ce^{kt} + T_a$

now At Ta = 100

T₀ = 10 °C

T₁ = 12° C

$T(0) = Ce^{0} + T_a$

10 = C + 100

C = -90

now,

$12 = -90e^k + 100$

$e^k = \dfrac{88}{90}$

$k = ln{\dfrac{88}{90}}$

at time equal to t

T(t) = 70

$T(t) = -90 (\dfrac{88}{90})^t + 100$

$70 = -90(\dfrac{88}{90})^t + 100$

$(\dfrac{88}{90})^t = \dfrac{1}{3}$

$t\times ln(\dfrac{88}{90}) = ln(\dfrac{1}{3})$

t = 48.88 s

hence, after 48.88 s the temperature of the body will be 70°C

b) time taken to reach 98°C

$T(t) = -90 (\dfrac{88}{90})^t + 100$

$98 = -90(\dfrac{88}{90})^t + 100$

$(\dfrac{88}{90})^t = \dfrac{1}{45}$

$t\times ln(\dfrac{88}{90}) = ln(\dfrac{1}{45})$

t = 390 s

hence, after 390 s the temperature of the body will be 98°C

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2 years ago

How many different ways can a race with 4 runners be completed? (Assume there is no tie.)

sergeinik [125]

Answer:

24

Step-by-step explanation:

1234, 1243, 1324, 1342, 1432, 1423, 2134, 2143, 2314, 2341, 2413, 2431, 3214, 3241, 3124, 3142, 3412, 3421, 4321, 4312, 4231, 4213, 4132, 4123

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2 years ago