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My name is Ann [436]
2 years ago
10

Jacob bought 7 Tshirts for $32.90.Kyle bought 12 shirts for $60.00. Kyle says he paid less per Tshirt than Jacob. Is Kyle correc

t.
Explain your answer
Mathematics
1 answer:
marshall27 [118]2 years ago
3 0
Jacob: 32.90/7 = $4.7 per one T-shirt
Kyle: 60.00/12 = $5 per one T-shirt

Jacob paid less per T-shirt than Kyle.
Therefore, Kyle was wrong.
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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
A rectangle has an area of 102cm2. The length of the rectangle is 17 cm. What is the perimeter of the rectangle
tatuchka [14]

Answer:

36

Step-by-step explanation:

To find the with divide 102 by 17, we get 6. Then add 6+6+17+17 because we know this is a rectangle and it has 2 with sides and 2 length sides. We get the answer of 36.

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