51(x - 21) = x + 58
<em><u>Distributive property</u></em>
51x - 1071 = x + 58
<em><u>Subtract x from both sides</u></em>
50x - 1071 = 58
<em><u>Add 1071 to both sides</u></em>
50x = 1129
<em><u>Divide both sides by 50</u></em>
x = 22.58
Answer:
£175
Step-by-step explanation:
Given the exchange rate was £1 = 1.84 dollars.
We are to change 322 dollars to pounds (£).
£1 = 1.84 dollars.
x = 322 dollars
Cross multiply
1.84 * x = 322
1.84x = 322
x = 322/1.84
x = 175
Hence 322 dollars in pounds will be £175
The area of the rectangle is 
Explanation:
One side of the rectangle is 
The another side of the rectangle is 
The formula to find the area of the rectangle is length × width
Area = length × width
Substituting the values, we have,

Thus, the area of the rectangle is 
Answer:
7.5 m 457.5

Step-by-step explanation:
First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.
The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V =
.
Original Cone =
=
= 937.5
Smaller Cone =
=
= 480
Frustum = 937.5
- 480
= 457.5
Answer:
2>x
y>-1
Step-by-step explanation:
assume y=0 when finding x and vice versa