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Mathematics 10 Online
OpenStudy (anonymous):

The volume of many types of three dimensional shapes can be found by using the formula V = 1/3Bh where B stands for the area of the B and h stands for the height. Solve the formula for B.

OpenStudy (anonymous):

help please

jimthompson5910 (jim_thompson5910):

how would you move that 3 over

OpenStudy (anonymous):

multiplying ?

OpenStudy (anonymous):

idk to be honest

jimthompson5910 (jim_thompson5910):

multiplying both sides by what

OpenStudy (anonymous):

Bh

jimthompson5910 (jim_thompson5910):

but you want to undo that division by 3

OpenStudy (anonymous):

so you multiply by 3

jimthompson5910 (jim_thompson5910):

yes giving you 3V = Bh

OpenStudy (anonymous):

that's not right

jimthompson5910 (jim_thompson5910):

well yeah, we're not done you need to fully isolate B

jimthompson5910 (jim_thompson5910):

"solve for B" means "isolate B"

OpenStudy (anonymous):

right and how do you isolate it ?

OpenStudy (anonymous):

divide?

jimthompson5910 (jim_thompson5910):

both sides by what

OpenStudy (anonymous):

3V

jimthompson5910 (jim_thompson5910):

that just gives you 1 = (Bh)/(3V) which is a step in the wrong direction when it comes to isolating B

jimthompson5910 (jim_thompson5910):

we want B all by itself on its own side

OpenStudy (anonymous):

so do u divide by Bh or 1/3 ?

jimthompson5910 (jim_thompson5910):

go back to 3V = Bh

jimthompson5910 (jim_thompson5910):

how do you move that h over

OpenStudy (anonymous):

divide it by the other side

jimthompson5910 (jim_thompson5910):

good, so you would get \[\large B = \frac{3V}{h}\]

OpenStudy (anonymous):

thanks!!! :)

jimthompson5910 (jim_thompson5910):

yw

OpenStudy (anonymous):

can u help me with this ? Jena has a cell phone plan that charges a $30 flat fee for the service and then charges $0.25 for every minute that she uses the phone over 500 minutes. If "m" stands for the TOTAL number of minutes that she uses in a month and that amount is over 500 minutes, write the algebraic expression that shows how much she will be charged this month. Do not simplify or include the $ symbol in your expression.

jimthompson5910 (jim_thompson5910):

how far did you get

OpenStudy (anonymous):

well I had an answer but, it wasn't right.

OpenStudy (anonymous):

could u help me out

OpenStudy (anonymous):

are u there ???

jimthompson5910 (jim_thompson5910):

what answer did you get

OpenStudy (anonymous):

30 + 0.25M - 500/0.25 (30 - 125) + 0.25M 0.25M - 95

OpenStudy (anonymous):

I did this

jimthompson5910 (jim_thompson5910):

well you're charged $30 no matter what, so that gets added on first then you're charged an additional $0.25 per min every min over 500, so you have to add on 0.25(m-500) so the expression is 30 + 0.25(m-500) and you can simplify that out if you want, but you can leave it like that

jimthompson5910 (jim_thompson5910):

oh wait, it tells you not to simplify, so leave it like that

OpenStudy (anonymous):

0.25(m-500) +30 This is the right answer You had it out of order

OpenStudy (anonymous):

but thanks

jimthompson5910 (jim_thompson5910):

oh same thing

jimthompson5910 (jim_thompson5910):

since x+y is the same as y+x

OpenStudy (anonymous):

yes true lol

OpenStudy (anonymous):

The population of a town in Iowa is growing and the equation that displays the current population can be shown by the equation C = P(1.04)y where F stands for the current population, P is 124,000 and y stands for 12. What is the value of C? Write the number only.

OpenStudy (anonymous):

how would you do this ???

jimthompson5910 (jim_thompson5910):

plug in each value and evaluate

OpenStudy (anonymous):

is this right so far C=124,000(1.04)12

jimthompson5910 (jim_thompson5910):

good, now evaluate 124000*(1.04)^12

OpenStudy (anonymous):

I square the 12 ? or multiply it

jimthompson5910 (jim_thompson5910):

type what you see exactly into your calculator

OpenStudy (anonymous):

am I supposed to get a big number ?

jimthompson5910 (jim_thompson5910):

show me what you got

OpenStudy (anonymous):

18570240

jimthompson5910 (jim_thompson5910):

a bit too big

jimthompson5910 (jim_thompson5910):

type 124000*(1.04)^12 into google (copy and paste)

jimthompson5910 (jim_thompson5910):

it will act like a calculator and give you the result

OpenStudy (anonymous):

198527.995102

OpenStudy (anonymous):

I got this

jimthompson5910 (jim_thompson5910):

much better

jimthompson5910 (jim_thompson5910):

you round to the nearest whole number since this is a population of people (and you can't have half a person)

OpenStudy (anonymous):

how am I supposed to round that big number ?

jimthompson5910 (jim_thompson5910):

look at the decimal point, what's to the right of it?

OpenStudy (anonymous):

a 9

OpenStudy (anonymous):

so you round up

jimthompson5910 (jim_thompson5910):

that's bigger than 5, so you chop everything off after the decimal point and you add 1 to the number to go from 198527 to 198528

jimthompson5910 (jim_thompson5910):

yep round up

OpenStudy (anonymous):

can u help me with line of best fit

jimthompson5910 (jim_thompson5910):

sure, but this will be the last one for today

OpenStudy (anonymous):

Year 1900 1920 1940 1960 1980 2000 2010 Price 0.28 0.66 0.34 0.49 2.16 1.51 2.80

OpenStudy (anonymous):

What is the equation for the line of best fit for this data? All number should be to 3 decimal places and no spaces for the auto grade to work correctly

jimthompson5910 (jim_thompson5910):

hopefully you can use a calculator for this this is because doing regression lines by hand is a bit of a pain

jimthompson5910 (jim_thompson5910):

do you have a TI calculator?

OpenStudy (anonymous):

yes I do u put the data in Stat don't u

jimthompson5910 (jim_thompson5910):

yes correct, you put the data into 2 lists

jimthompson5910 (jim_thompson5910):

then you do a regression

OpenStudy (anonymous):

okay it shows me the LineReg it has a,b, r^2 and r.. which one is the equation

jimthompson5910 (jim_thompson5910):

the equation is most likely y = a + bx so you plug in the values you got for a and b

OpenStudy (anonymous):

it doesn't say the equation I have to create it

jimthompson5910 (jim_thompson5910):

what are the values of a and b

OpenStudy (anonymous):

a= .0203626062 b= -38.70447592

jimthompson5910 (jim_thompson5910):

I'm getting the same roughly

jimthompson5910 (jim_thompson5910):

round that to 3 places to get a = 0.020 and b = -38.704 so your equation is y = 0.020x - 38.704

OpenStudy (anonymous):

thanks so much

jimthompson5910 (jim_thompson5910):

np

OpenStudy (anonymous):

are you a teacher ?

jimthompson5910 (jim_thompson5910):

not yet, I'm learning to become one at the moment

OpenStudy (anonymous):

ohh that's cool what math are you going to teach ?

jimthompson5910 (jim_thompson5910):

I'll probably teach high school math or middle school math

OpenStudy (anonymous):

good luck with that! I have one more question sorry but, I don't know how to do this ?Use the line of best to determine what the cost of milk will be in 2020. Round your answer to the nearest hundredth

jimthompson5910 (jim_thompson5910):

the equation is y = 0.020x - 38.704 where x is the year so plug in x = 2020 and evaluate to get your answer (remember to round your answer to 2 decimal places)

OpenStudy (anonymous):

ok but where do you plug in the 2020 at ?

OpenStudy (anonymous):

behind the 0.020x?

jimthompson5910 (jim_thompson5910):

you replace x with 2020

OpenStudy (anonymous):

so like this ? y=0.020(2020)-38.704 ??

jimthompson5910 (jim_thompson5910):

correct, now evaluate that

OpenStudy (anonymous):

I got 1.696

jimthompson5910 (jim_thompson5910):

round that to 2 decimal places

OpenStudy (anonymous):

1.700

jimthompson5910 (jim_thompson5910):

so the answer is 1.70

OpenStudy (anonymous):

it says its wrong.

jimthompson5910 (jim_thompson5910):

hmm is it saying the equation y = 0.020x - 38.704 is wrong?

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