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3 years ago

What is the smallest number such that when it is divided by 3,5,7 leaving remainder 2 in each case

Mathematics

1 answer:

aleksley [76]3 years ago

7 0

Isn't it 107? LCM of 3 5 7 should be 105 + 2 = 107?

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1+1 wrong answers only

Ber [7]

Answer:

Step-by-step explanation:

3 0

2 years ago

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Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant

Viktor [21]

Answer:

Therefore $k= \frac{ln2 }{18}$ , A=184

Step-by-step explanation:

Given function is

$T(t)=230 -e^{-kt}$

where T(t) is the temperature in °C and t is time in minute and A and k are constants.

She noticed that after 18 minutes the temperature of the pie is 138°C

Putting T(t) =138°C and t= 18 minutes

$138=230 -Ae^{-k\times 18}$

$\Rightarrow -Ae^{-18k}=138-230$

$\Rightarrow Ae^{-18k}=92$ .....(1)

Again after 36 minutes it is 184°C

Putting T(t) =184°C and t= 36 minutes

$184=230-Ae^{-k\times 36}$

$\Rightarrow Ae^{-36k}=230-184$

$\Rightarrow Ae^{-36k}=46$ .......(2)

Dividing (2) by (1)

$\frac{Ae^{-36k}}{Ae^{-18k}}=\frac{46}{92}$

$\Rightarrow e^{-18k}=\frac{46}{92}$

Taking ln both sides

$ln e^{-18k}=ln\frac{46}{92}$

$\Rightarrow -18k =ln (\frac12)$

$\Rightarrow -18k= ln1-ln2$

$\Rightarrow k= \frac{ln2 }{18}$

Putting the value k in equation (1)

$Ae^{-18\frac{ln2}{18}}=92$

$\Rightarrow A e^{ln2^{-1}}=92$

$\Rightarrow A.2^{-1}=92$

$\Rightarrow \frac{A}{2}=92$

$\Rightarrow A= 92 \times 2$

⇒A= 184.

Therefore $k= \frac{ln2 }{18}$ , A=184

7 0

2 years ago

What is the solution to the system equations 6×+2y=6 and 7×+3y=5

atroni [7]

The solution to 6×+2y=6 is y=0.5

The solution for 7×+3y=5 is y = 0.238095 (.238095 is repeated)

5 0

2 years ago

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In AMNO, m = 150 inches, n = 550 inches and o=630 inches. Find the measure of ZO

JulsSmile [24]

Answer:

115.8

Step-by-step explanation:

Delta math

4 0

2 years ago

T is your daughter's birthday and you are preparing a family meal. The joint of meat needs to be cooked for 30 minutes per 500 g

Basile [38]

2.5kg is 2,500g
2,500g/500g= 5
Cook time= (30minutes*5) + 20 minutes
170 minutes

8 0

2 years ago