Tammy works as a tutor for
$7
an hour and as a waitress for
$11
an hour. This month, she worked a combined total of
98
hours at her two jobs.
Let
t
be the number of hours Tammy worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.
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ganeshie8 (ganeshie8):
names and numbers have changed
essentially this is same as the previous problem
OpenStudy (anonymous):
7t+11(98-t)
ganeshie8 (ganeshie8):
Yep!
OpenStudy (anonymous):
yea
ganeshie8 (ganeshie8):
good job :)
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OpenStudy (anonymous):
Let
n
be the middle number of three consecutive integers. Write an expression for the sum of these integers.
ganeshie8 (ganeshie8):
start by writing expressions for immediate left and right integers :
\[\large \_ , ~n, ~\_\]
OpenStudy (anonymous):
2,n,8
ganeshie8 (ganeshie8):
interesting, how did u get 2 and 8 ?
ganeshie8 (ganeshie8):
you need to write them in terms of \(n\)
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OpenStudy (anonymous):
just guessing
OpenStudy (anonymous):
how
ganeshie8 (ganeshie8):
consecutive integers are the integers that follow each other in order
for example : 3,4,5 are consecutive
OpenStudy (anonymous):
(n-1)+n+(n+1)
ganeshie8 (ganeshie8):
Brilliant !
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OpenStudy (anonymous):
really?
ganeshie8 (ganeshie8):
yes thats it!
ganeshie8 (ganeshie8):
if you're not sure just plugin some value for \(n\) and verify if you really get consecutive integers
OpenStudy (anonymous):
Translate the sentence into an equation.
Four times the sum of a number and
8 equals 2 . Use the variable c for the unknown number.
ganeshie8 (ganeshie8):
should be easy for you, give it a try
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OpenStudy (anonymous):
4c-8=2
ganeshie8 (ganeshie8):
Four times the `sum` of a number and
8 equals 2
ganeshie8 (ganeshie8):
forget about Four times for the time being
how do you write the expression for "sum of c and 8" ?
OpenStudy (anonymous):
SORRY ITS 2:33 over here
OpenStudy (anonymous):
am
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ganeshie8 (ganeshie8):
its okay..
ganeshie8 (ganeshie8):
you should be sleeping lol
ganeshie8 (ganeshie8):
Four times the sum of a number and 8 equals 2
break the senternce like this :
`Four times` the `sum of a number and 8` equals `2`
ganeshie8 (ganeshie8):
\[4(c+8) = 2\]
OpenStudy (anonymous):
ok we find c or thats it
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ganeshie8 (ganeshie8):
question asks u only to translate the given sentence so we're good
OpenStudy (anonymous):
Translate the sentence into an equation.
Two less than the product of 6 and a number is 3 .
Use the variable c for the unknown number.
OpenStudy (anonymous):
let me try
ganeshie8 (ganeshie8):
kk
OpenStudy (anonymous):
2-c+2=3
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ganeshie8 (ganeshie8):
it is slightly tricky compared to previous one
OpenStudy (anonymous):
well i tryed lol
OpenStudy (anonymous):
-2(c-2)=3
ganeshie8 (ganeshie8):
thats even better, lets breal the given sentence :
`Two less than` the `product of 6 and a number` is `3`
.
ganeshie8 (ganeshie8):
`-2` `6c` `3`
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ganeshie8 (ganeshie8):
\[6c - 2 =3\]
OpenStudy (anonymous):
kk i have more bt putting it on another page
ganeshie8 (ganeshie8):
Okay sure one question per thread would be good as the new questions get bumped up automatically