Answer:
x = 11
Step-by-step explanation:
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
then 6/(6 + 48) = 5/(5 + 3x + 7)
6(3x + 12) = 5(54)
18x + 72 = 270
18x = 198
x = 11
That's just too bad. I don't the answer. I'm just doing this to get points. Good luck.
Answer:

Step-by-step explanation:
The ratio of pencils to erasers is

Convert the ratio to a fraction.

The fraction is now pencils to erasers.
The fraction of the number of erasers to pencils is:

Answer:
The simultaneous inequation representing the recomended storage temperature is:

Step-by-step explanation:
In this case, the statement must be represented mathematically by a simultaneous inequation, in which temperature must be equal to or greater than 10 ºC, expressed in Fahreheit degrees, and equal or less than 13 ºC, expressed in Fahrenheit degrees.
Bounds can be converted into Fahrenheit degrees from Celsius degrees:
(Eq. 1)
Where:
- Temperature, measured in Celsius degrees.
- Temperature, measured in Fahrenheit degrees.
Lower bound (
)


Upper bound (
)


The simultaneous inequation representing the recomended storage temperature is:

So the original price is "x".
the discounted price by 10% is P(x) = 0.9x.
the price minus a $150 coupon is C(x) = x - 150.
so, if you go to the store, the item is discounted by 10%, so you're really only getting out of your pocket 90% of that, or 0.9x, but!!! wait a minute!! you have a $150 coupon, and you can use that for the purchase, so you're really only getting out of your pocket 0.9x - 150, namely the discounted by 10% and then the saving from the coupon.
C( P(x) ) = P(x) - 150
C( P(x) ) = 0.9x - 150