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Vaselesa [24]
3 years ago
7

A theatre company sold 12,750 tickets for a musical. This represents 85% of all available tickets. How many tickets are still av

ailable?
Mathematics
1 answer:
Galina-37 [17]3 years ago
7 0

Answer:

the answer is.-

2,250 tickets

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A farmer wants to spray 3 gallons of pesticide equally on 10 farm plots. how many gallons of pesticide should he use for each pl
photoshop1234 [79]
3 gallons on 10 things

Here, we have less things to be distributed than the number of things you distribute to.

Thus: 3/10 gallons.
7 0
3 years ago
A pan of warm water (46∘ Celsius) was put in a refrigerator. After 15 minutes, the water's temperature was 27∘ C; 15 minutes aft
Cloud [144]

Answer:

The refrigerator was at around 13 ∘C

Step-by-step explanation:

Newton's Law of Cooling:

The rate of change of a body temperature  (amount of heat loss/time of loss) is directly proportional to the difference between its own temperature and the surroundings.

\frac{T(t2)-T(t1)}{t2-t1} = -h (T(t2) - Tenv)

T ⇒ temperature

t ⇒ time

Tenv ⇒refrigerator temperature

\frac{T(t2)-T(t1)}{t2-t1} ⇒ rate of change of he temperature

-h ⇒ constant of proportionality (negative because the temperature is decreasing inside the refrigerator)

We have 3 points:

time (minutes) - Temperature (∘ C)

0 (when the pan was put in the refrigerator) - 46

15 (after 15 minutes) - 27

30 (15 minutes after the first 15 minutes) - 19

\frac{27 - 46}{15 - 0} = -h (27 - Tenv)

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)

Now we have a system of two equations and two variables

\frac{-19}{15} = -h (27 - Tenv)\\ \frac{19}{15} = h (27 - Tenv)\\ \frac{19}{15(27 - Tenv)} = h

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)\\\frac{-8}{15} = -h (19 - Tenv)\\\frac{8}{15} = h (19 - Tenv)\\\frac{8}{15} = \frac{19}{15(27 - Tenv)} (19 - Tenv)\\8(27 - Tenv) = 19 (19 - Tenv)\\216 - 8 Tenv = 361 - 19 Tenv\\19 Tenv - 8 Tenv = 361 - 216\\11 Tenv = 145 \\Tenv = 145/ 11\\Tenv = 13. 18

The refrigerator was at around 13 ∘C

6 0
3 years ago
Solve the inequality. q - 1 1/3 > -2 1/2
ioda

\Leftrightarrow q>1\frac{1}{6}

Step-by-step explanation:

  q-\frac {11}{3}>-2\frac{1}{2}

\Leftrightarrow q>-2\frac{1}{2}+\frac {11}{3}

\Leftrightarrow q>\frac{7}{6}

\Leftrightarrow q>1\frac{1}{6}

6 0
3 years ago
Write expression in words: 6/y​
Vika [28.1K]

Answer: y divided by 6

Step-by-step explanation:

/ is a division sign

4 0
3 years ago
How do I factorise 42 - 66x
lisov135 [29]
The answer is 6(-11x+7)
6 0
3 years ago
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