Here, we are required to determine after how many minutes will the two substances be at the same temperature.
The equation of when the two substances will be at the same temperature and the solution are as follows;
(a) The equation is 96.2 + 1.5(x) = 98.5 + 0.8(x).
(b) The solution is, x = 3.285minutes.
For substance A which is currently at 96.2° and rising at 1.5° each minute; It's temperature after x minutes is given as;
For substance B which is currently at 98.5° and rising at 0.8° each minute; It's temperature after x minutes is given as;
(a) For the two substances to be at the same temperature; T(a) must be equal to T(b).
The equation is therefore;.
96.2 + 1.5(x) = 98.5 + 0.8(x)
(b) To determine the solution;
1.5x - 0.8x = 98.5 - 96.2
0.7x = 2.3
x = 2.3/0.7
x = 3.285minutes.
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Answer:
0.714 mins
Step-by-step explanation:
by using the rule of three:
180 mins----->252 ballons
x----------------1 ballon=0.714 mins
Answer:
35+28=63
Step-by-step explanation:
hope this helps
Answer:
Chocolate chip dough = $12
Gingerbread cookie dough = $17
Step-by-step explanation:
Since there are two variables in this problem, setting up a system of equations and using the elimination method will help us find the cost for each package of cookie dough. Based on Ryan's sales of 6 packages of chocolate chip and 12 packages of gingerbread for $276, the first equation is:
6c + 12g = 276
Since Shawna sold 8 chocolate chip and 3 gingerbread for a total of $147.00, the second equation is:
8c + 3g = 147
Using the elimination method, we will need to multiply the second equation by a factor of -4 in order to eliminate the variable 'g':
-4(8c + 3g = 147) = -32c - 12g = -588
Add the two equations:
6c + 12g = 276
+ <u> -32c - 12g = -588</u>
-26c = -312 or c = $12
Plug the value of 'c' into the first equation:
6(12) + 12g = 276 or 72 + 12g = 276 or g = $17
Answer:
640
Step-by-step explanation:
22 x 28 = 616
4 x 6 = 24
616 + 24 = 640 fit
