<span>We have to find the volume of the sphere that has a radius of 9.6 m. The formula for the volume of the sphere is: V = 4/3 r^3 Pi. ( r = 9.6 m, Pi = 3.14 ) V = 4/3 * 9.6^3 * 3.14; V = 4/3 * 884.736 * 3.14; V = 3,705.97349m^3 ( when the number Pi is more accurate ). Answer: The exact volume of the sphere is 3,704.97349 m^3.</span>
Answer:
Constant of proportionality: 
Equation: 
Step-by-step explanation:
By definition, Direct proportion equations have the following form:
Where "k" is the Constant of proportionality.
In this case, let be "c" the the amount of caffeine consumed (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.
So, the equation that represents this relationship will have this form:
Then, the first step is to find the Constant of proportionality "k".
Knowing that:
We can substitute values into the equation:
Now, solving for "k", we get:
Therefore, we can write the following equation that represents that proportional relationship:
The appropriate expression to identify the amount of formalin is: x = 3200 ÷ 100 × 44%
<h3>How to identify the amount of formalin?</h3>
To calculate the amount of formalin in this substance we must perform the following mathematical operation:
- 3200 ÷ 100 = 32
- 32 × 44% = 1,408
According to the above, the mathematical expression would be:
Learn more about mathematical expression in: brainly.com/question/14462529
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29/5 is 5.8 5.8 dividen by 9 1/2 is 0.61052631578
Hope this helps! Have a great day!!!
It looks like your equations are
7M - 2t = -30
5t - 12M = 115
<u>Solving by substitution</u>
Solve either equation for one variable. For example,
7M - 2t = -30 ⇒ t = (7M + 30)/2
Substitute this into the other equation and solve for M.
5 × (7M + 30)/2 - 12M = 115
5 (7M + 30) - 24M = 230
35M + 150 - 24M = 230
11M = 80
M = 80/11
Now solve for t.
t = (7 × (80/11) + 30)/2
t = (560/11 + 30)/2
t = (890/11)/2
t = 445/11
<u>Solving by elimination</u>
Multiply both equations by an appropriate factor to make the coefficients of one of the variables sum to zero. For example,
7M - 2t = -30 ⇒ -10t + 35M = -150 … (multiply by 5)
5t - 12M = 115 ⇒ 10t - 24M = 230 … (multiply by 2)
Now combining the equations eliminates the t terms, and
(-10t + 35M) + (10t - 24M) = -150 + 230
11M = 80
M = 80/11
It follows that
7 × (80/11) - 2t = -30
560/11 - 2t = -30
2t = 890/11
t = 445/11
