Answer: 5/4
Step-by-step explanation:
For this case we have to represent the following expression algebraically:
"10 less than x is -45"
So:
10 less than x is represented as: 
Then, the complete expression is represented as:

Adding 10 to both sides of the equation:

Thus, the value of the variable is 
Answer:

Answer: There are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.
Explanation:
Since we have given that
For every 5 pieces of cloth, 2 are rectangles
So, remaining piece will be of triangle so,

3 are triangles.
Ratio of rectangles to triangles is 2:3.
Now, she needs 15 pieces of cloth to complete her scarf,
So, Number of rectangles is needed is given by

Number of triangles is needed is given by

Hence, there are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.
Answer:
C)
Step-by-step explanation:
if the shapes were rotated it would be easier to prove that the shape are congruent. Hope this helps :)
In terms of its radius
, the volume of the balloon is

The diameter
is twice the radius, so that in terms of its diameters, the balloon's volume is given by

Differentiate both sides with respect to time
:

The diameter increases at a rate of
. When the diameter is
, we have

or about 23,562 cc/min (where cc = cubic centimeters)