It's a non-constant linear function, so both the domain and the range are all real numbers.
Answer:
-14.5
Step-by-step explanation:
- Take - common: -(11.0+3.5)
- Just add them in the bracket: -(14.5)
- Remove the bracket: -14.5
Answer:
Step-by-step explanation:
Josh has a collection of 1,200 music CDs. He considers 1/6 of his collection rock music. This means that the number of rock music CDs that he has is
1/6 × 1200 = 200
Of the rock music CDs, 20 percent are by solo artist. This means that the number of CDs by solo artist is
20/100 × 200 = 40
Of the solo artist 2/5 are by female artist. It means that the number done by female solo artists is
2/5 × 40 = 16
Answer:
39/56
Step-by-step explanation:
When you add fractions, both of the base numbers (denominators) have to be the same number in order to add the top numbers (numerators).
The easiest way to do this is to multiply each denominator by the other number. For example, 8 * 7 and 7 * 8. So you will have 56 and 56. You also need to multiple the numerator by that number. So, 1 * 7 and 4 * 8. So you will have 7 and 32. This will show as 7/56 + 32/56. Finally, add the numerators - > 39/56
Answer:
The ramp is 21.8 ft tall.
Step-by-step explanation:
If you convert this into a triangle, 40 ft is the hypotenuse, 33° is the angle next to the right angle (on the horizontal line) and we need to find how tall the ramp is, which will be x. It is very helpful to draw a picture.
We will use the sine ratio because, starting from the given degree of 33, we have the hypotenuse value and need to find the value opposite the degree:

Insert values:

Multiply 40 to both sides to isolate the variable:

Insert the value of x into a calculator:

Round if necessary:

Done.