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abruzzese [7]
3 years ago
13

How do you solve 1/5x>30

Mathematics
1 answer:
leva [86]3 years ago
4 0

Answer:

\frac{1x}{5}  > 30 \\ 5 \times  \frac{1x}{5}  >  30 \times 5 \\ 1x = 150 \\  \frac{1x}{1}  =  \frac{150}{1}  \\ x = 150

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Find the solution of the following system of equations by graphing y=-2x-1 y=-x-1​
hodyreva [135]

Answer:

Step-by-step explanation:

Hello, look the graphic

Best regards

8 0
3 years ago
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A water tower is formed by joining two hemispheres to a cylinder and removing the flat surfaces at the ends. The volume needs to
Mrac [35]
Wait what?
removing the flat surfaces...
... oh!
I get it

okey dokey
basicaly find the shape that gives you a volume of 200 cubic meters and and minimizes the amount of materials needed to make the conainer


find the volume
we can take the 2 hemispheres and combine them to get 1 sphere
we can take the cylinder as well
vsphere=(4/3)pir^3
vcylinder=hpir^2
so total volume would be (4/3)pir^3+hpir^2


now find surface area which is the amount of sheet metal we will need to construct it
surface area=lateral area of cylinder+surface area of sphere
lateral area of cylinder=2pirh
surface aea of sphere=4pir^2 
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but, the hemishpere part costs 3 times more
so just say the cylinder part costs 1 dollar per square meter and hemisphere part costs 3 dollars so we mutiply hemishpere part by 3 to get
SAcost=2pirh+12pir^2



so we got
v=200=hpir^2+4/3pir^3
solve for h since the r exponents are tricky
h=\frac{200-\frac{4}{3} \pi r^3}{\pi r^2}
subsitute that for h in the other equation
SAcost=2pirh+12pir^2
SAcost=2 \pi r (\frac{200-\frac{4}{3}\pi r^3}{\pi r^2})+12 \pi r^2
now we simpilify and take the derivitive to find the value of r where SAcost is a minimum
we get at that the derivitive of SAcost is 0 at r=\sqrt[3]{\frac{150}{7 \pi}}
by subsituteion we find that the value of h will be then h=\frac{4(7 \pi -1)\sqrt[3]{7350}}{21\sqrt[3]{\pi}}

aproximately
the radius should be about 1.8964m and the height should be about 53.0789m
5 0
3 years ago
Six times a number is greater than 20 more than that number. What are the possible values of that number?
seropon [69]
It would be easier to translate this into mathematical terms first.
Let n = the unknown number

6n <span>> n + 20

Subtracting both sides by n to simplify:
6n - n </span><span>> n + 20 - n
</span>5n <span>> 20
</span><span>
Dividing both sides by 5:
5n/5 </span><span>> 20/5
</span>n <span>> 4
</span><span>
Among the choices, the correct one is the second choice.

</span>
4 0
3 years ago
6 1/2 chocolate chips and 5/2 cups of flour how many more cups of chocolate chips use than cups of flours
PIT_PIT [208]

Answer: 4

Step-by-step explanation:

Amount of chocolate chips = 6 1/2

Amount of cups of flour = 5/2

The cups of flour should be changes to a mixed fraction and this will be 5/2 = 2 1/2

The question simply means we should find the difference between the fractions given and this will be:

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8 0
2 years ago
Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequ
beks73 [17]

Answer:

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So $1.29x = $20

So "x" = 20/4.29 = 15.5

So songs he can purchase = 15 songs

4 0
3 years ago
Read 2 more answers
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