Apicture framer has a thin board 10 1/12 feet long. the framer notice a scratched and cannot be used. the rest of the board will be used to make small picture frames. each picture frames needs 1 2/3 feet of the board. at most, how many complete picture frames can be made?

To find this we first need to convert each measurement into a improper fraction. 1 2/3 = 5/3 and 10 1/12 becomes 121/12.. Now how many times can we take 5/3 out of 121/12 ?  This is done by dividing 121/12 by 5/3 or the easier way to think about it is to multiply 121/12 by the reciprocal which is 3/5.

121/12 *3/5= when reduced is 121/20.  divide 121 by 20 and get 6 remainder 1.

That means you can make 6 picture frames.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

costs the what? what is the cost of the pants?

step-by-step explanation:

if it is $10, then the price is 14.

take 40% of the cost, and then add the cost.

40% of 10 = 4

4+10 = 14.