Answer:
The actual area of the page will be 120 square inches.
Step-by-step explanation:
Janice is creating a page of scrapbook having vertices (2,1), (7,1), (7,7), and (2,7).
If we plot the points on the coordinate plane then we will see that the page is of a rectangular shape with length (7 - 1) = 6 units which is parallel to the y-axis and width (7 - 2) = 5 units which is parallel to the x-axis.
So, the area of the page is (6 × 5) = 30 square units.
Now, given that 1 square unit is equivalent to 4 square inches.
Therefore, the actual area of the page will be (30 × 4) = 120 square inches. (Answer)
Answer:
Sammy can make 9 bows.
Step-by-step explanation:
3 feet of Ribbon
1/3 for each bow
1/3 + 1/3 +1/3 = 3/3 or 1 so she can make 3 bows out of one foot of ribbon
so if you repeat this than you should get 9 bows out of three feet of ribbion.
Answer:
Volume of the sphere
Step-by-step explanation:
Volume of the sphere= 
The sphere has given radius(r)= 11 units
Putting the value of the radius in the formula;
Volume of the sphere:
= 



Volume 
The volume of the sphere with radius of 11 units is 
<em>Answer:</em>
<em>x = 21/4</em>
<em>x = 5 1/4</em>
<em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>- 3/4 = x - 6</em>
<em>- 3 = 4(x - 6)</em>
<em>- 3 = 4x - 24</em>
<em>4x = 24 - 3</em>
<em>4x = 21</em>
<em>x = 21/4</em>
<em>x = 5 1/4</em>
<em>Good luck !</em>
Answer:

Step-by-step explanation:
Let's start by using change of base property:

So, for 

Now, using change of base for 

You can express
as:

Using reduction of power property:


Therefore:

As you can see the only difference between (1) and (2) is the coefficient
:
So:

