Answer:
7/30 of her music library
Step-by-step explanation:
We are looking for 7/10 of 1/3. In this case this "of" means we will multiply the two fractions. To multiply fractions, we multiply
top × top
and
bottom × bottom
1/3 × 7/10
is 1×7 on top, and
3×10 on the bottom.
= (1×7)/(3×10)
= 7/30
7/30 cannot be simplified, so that is the answer.
So 400,000 DVD sales with a 31% decline means in the 1st year following, there will be a decline of 124,000 DVDs sold. So we need to take 400,000 - 124,000, which equals a starting point for year two is 276,000 DVDs.
So a 31% decline on 276,000 = 85,560. So we need to subtract that from 85,560 from 276,000 which is 190,440. So at the end of the second year, DVD sales were only 190,440. That's also out starting point of the 3rd year.
So 31% of 190,440 equals 59,036.4 for the third year of DVD sales. So we need to subtract 59,036.4 from out third year starting point of 190,440, which equals 131,403.6, but since you can't have parts of DVDs, we'll round the decimal point fraction to a whole number to end up with 131,404 DVDs sold in year three.
So after three years of a 31% yearly decline in DVD sales you end up with DVD sales are 131,404
Given expression:
2x(x + 7)-(3x +1);
To distribute implies to spread a process equally in an expression. Often times, the distributive property is used for expressions inside parentheses;
2x(x + 7)-(3x +1)
Distribute 2x over the first parentheses;
the negative sign distributes over the second part
= (2x² + 14x) - 3x -1
= 2x² + 14x -3x -1
Add like terms;
= 2x² + 11x -1
This expression 2x² + 11x -1 is equal to the given one
90 volume because 3 multiples by 30 = 90
Answer:
Step-by-step explanation:
Remember that the formula to get the area of a right triangle is base times height divided by 2, so to find the area:
5 x 12 = 60/2 = 30
Area of this triangle is 30.
To find the perimeter, add all the sides:
5 + 12 + 13 = 30.
Perimeter of this triangle is 30.
