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madreJ [45]
3 years ago
12

The temperature of a chemical solution is originally 21^\circ\text{C}21 ? C21, degree, C. A chemist heats the solution at a cons

tant rate, and the temperature of the solution is 75^\circ\text{C}75 ? C75, degree, C after 121212 minutes of heating.
Mathematics
1 answer:
Kryger [21]3 years ago
5 0

Answer:

The rate is 4.5\frac{\°C}{min}

Step-by-step explanation:

we know that

The formula to calculate the rate or slope between two points is equal to m=\frac{y2-y1}{x2-x1}

Let

x----> the time in minutes

y-----> the temperature in Celsius degrees

we have

A(0,21)\ B(12,75)

Substitute the values

m=\frac{75-21}{12-0}

m=\frac{54}{12}=4.5\frac{\°C}{min}

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Aunty Joan packs a packet of sweets to Alice and Olivia. Alice and Olivia share sweets in the ratio 7:3. Alice gives 3 sweets to
aivan3 [116]

Initially, Alice had 28 sweets and Olivia 12 sweets.

Step-by-step explanation:

First assume that Aunty Joan has x number sweets.

Alice and Olivia shared the x sweets in a ration of 7:3, this means

Alice had 7/10 x sweets and Olivia had 3/10 sweets.

Alice gives 3 sweets to Olivia, Alice will remain with ;

\frac{7}{10} x-3

Then the new ratio changes to 5:3 which means Alice will have 5/8 x number of sweets.

Equate the number of sweets for Alice in the two cases, which is

\frac{5}{8}x=\frac{7}{10} x-3\\ \\\frac{7}{10} x-\frac{5}{8} x=3\\

\frac{56x-50x}{80} =3\\\\\\\frac{6}{80} x=3\\\\\\6x=80*3\\\\\\x=240/6\\\\x=40

So there were 40 sweets at first

Using the ratio of 7:3 then

Alice had 7/10 *40 = 28 sweets

Olivia had 3/10*40= 12 sweets

Alice gave Olivia 3 sweets, so she will remain with 28-3 =25 sweets. Olivia will now have 15 sweets.The new ratio will be 25:15 simplified as 5:3.

Learn More

Ratio : brainly.com/question/11095585

Keywords : Ratio

#LearnwithBrainly

5 0
3 years ago
9(m-3)+3m=7m+43 help me please
nikdorinn [45]

Answer:

multiply 9 from m and -3

9m - 27 + 3m = 7m + 43

12m - 27 = 7m + 43

12m - 7m = 43+ 27

5m = 70 cut 70 by 5 in 14 times [ 14 x 5= 70 ]

m = 14 answer ❤️❤️ it is 100% correct now!

6 0
3 years ago
Read 2 more answers
On a number line, A is at -2 and B is at 4.
OleMash [197]
It would be at 2. Here is why: -2 and 4 are 6 places away from each other. Now divide that by 3 (for the thirds). so each third is 2. Now thirds 2will be four, so add that to -2 and you get 2.
3 0
3 years ago
PLS HELP I DONT UNDERSTAND :(
solmaris [256]
B I’m not 100% sure but I think
3 0
3 years ago
Read 2 more answers
2x +4 (3 - 2x) = 3(2x + 2)/6 + 4<br> from my math book
liberstina [14]

Answer:

x = 1

Step-by-step explanation:

2x +4 (3 - 2x) = 3(2x + 2)/6 + 4

2x+12-8x = (6x+6)/6 +4

-6x + 12 = x+1+4

12-5 = 7x

7x = 7

x=1

Hope this helps!

4 0
2 years ago
Read 2 more answers
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