Answer:
m = 5/3
Step-by-step explanation:
Basically, it's saying make y=x by simplifying.
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Answer:
Each Tomskian build 6 igloos per week.
Each Kyzylian build 5 igloos per week.
Step-by-step explanation:
Let T represent the number of Tomskians and K represent the number of Kyzylians the company needs to employ to meet its goal.
The inequality: 
represents the situation that a company plans to build at least 152 igloos in a single week by employing T Tomskians and K Kyzylians.
We can see that 6T represents the number of igloos made by T Tomskians in one week and 5K represents the number of igloos made by K Kyzylians in one week .
Since all Tomskians and Kyzylians build the same number of igloos per week, therefore, each Tomskian build 6 igloos per week and each Kyzylian build 5 igloos per week.
Answer:
The volume ratio is also 5 : 7
Step-by-step explanation:
The volume of a cylinder is given by the following formula:
volume = pi*r²*h
Since we have two cylinders and their height varies at a ratio of 5:7 we can say that the smaller one has a height of "h" while the bigger has height of "(7/5)*h". Thefore their volume is:
volume smaller = pi*r²*h
volume bigger = pi*r²*(7/5)*h
volume bigger = (7/5)*pi*r²*h
The ratio of their volume is given by the division of the smaller volume by the bigger one:
volume ratio = volume smaller / volume bigger
volume ratio = (pi*r²*h) / [(7/5)*pi*r²*h] = 1/(7/5)
volume ratio = 5/7
The volume ratio is also 5 : 7.
To determine the 7th term of a given sequence, we use the formula given above which is
an = 30 - 4n
where an is the value at the nth term of a sequence
Therefore,
an = 30 - 4n
an = 30 - 4(7)
an = 2
