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3 years ago

Sam has 9 yellow pencils in his desk. Three fourths of his pencils are yellow How many pencils does Sam have in his desk

Mathematics

2 answers:

polet [3.4K]3 years ago

7 0

Sam has 12 pencils in total.

Crank3 years ago

6 0

Sam has exactly 12 pencils in his desk.

Demonstration:

2/3 of 9 is 3. add 3 to 9, you get 12.

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A pizza pan is removed at 9:00 PM from an oven whose temperature is fixed at 450°F into a room that is a constant 70°F. After 5

gladu [14]

Answer:

A) It will get to a temperature of 125°F at 9:19 PM

B) It will get to a temperature of 150°F at 9:16 PM

C) as time passes temperature approaches the initial temperature of 450°F

Step-by-step explanation:

We are given;

Initial temperature; T_i = 450°F

Room temperature; T_r = 70°F

From Newton's law of cooling, temperature after time (t) is given as;

T(t) = T_r + (T_i - T_r)e^(-kt)

Where k is cooling rate and t is time after the initial temperature.

Now, we are told that After 5 minutes, the temperature is 300°F.

Thus;

300 = 70 + (450 - 70)e^(-5k)

300 - 70 = 380e^(-5k)

230/380 = e^(-5k)

e^(-5k) = 0.6053

-5k = In 0.6053

-5k = -0.502

k = 0.502/5

k = 0.1004 /min

A) Thus, at temperature of 125°F, we can find the time from;

125 = 70 + (450 - 70)e^(-0.1004t)

125 - 70 = 380e^(-0.1004t)

55/380 = e^(-0.1004t)

In (55/380) = -0.1004t

-0.1004t = -1.9328

t = 1.9328/0.1018

t ≈ 19 minutes

Thus, it will get to a temperature of 125°F at 9:19 PM

B) Thus, at temperature of 150°F, we can find the time from;

150 = 70 + (450 - 70)e^(-0.1004t)

150 - 70 = 380e^(-0.1004t)

80/380 = e^(-0.1004t)

In (80/380) = -0.1004t

-0.1004t = -1.5581

t = 1.5581/0.1004

t ≈ 16 minutes.

Thus, it will get to a temperature of 150°F at 9:16 PM

C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.

Thus,we have;

T(t) = T_r + (T_i - T_r)

T_r will cancel out to give;

T(t) = T_i

Thus, as time passes temperature approaches the initial temperature of 450°F

6 0

3 years ago

Solve for v 12v = 18+6v

jekas [21]

12v = 18+6v

move +6v to the other side

sign changes from +6v to -6v

12v-6v= 18+6v-6v

12v-6v= 18

6v= 18

divide by 6 to get v by itself

6v/6=18/6

Answer:

v= 3

6 0

3 years ago

If the sum of 8th and 9th terms of

mojhsa [17]

The answer is anime and chicken nuggets

4 0

3 years ago

Can anyone explain to me how I should go about figuring this out?

docker41 [41]

Answer:

First paragraph of being a bit of an error on ep of being a bit more than

5 0

3 years ago

Ms. Robinson gave her class 12 minutes to read. Carrie read 5 1/2 pages in that time. At what rate, in pages per hour, did Carri

cricket20 [7]

The answer is: " 27.5 pages " ; or, write as: " 27 $\frac{1}{2}$ pages " .
____________________________________________________________

5.5 pages / 12 minute = ? pages / 60 minutes;

12 * 5 = 60 ;

5.5 * 5 = ?

5.5 * 5 = 27.5
____________________________________________________________
The answer is: " 27.5 pages " ; or, write as: " 27 $\frac{1}{2}$ pages " .
____________________________________________________________

4 0

3 years ago