Answer:
£69
Step-by-step explanation:
Given information:
- Cost of dress = £50
- Cost of shoes = £43
- Discount offer: Buy a dress and shoes together and get 1/3 off the price.
- Shipping & handling charge = £7 (added after the discount is applied)
Cost of buying a dress and shoes:
⇒ £50 + £43 = £93
Discount:
⇒ 1/3 of £93 = 1/3 × 93 = £31
Cost of goods after discount is applied:
⇒ £93 - £31 = £62
Addition of shipping and handling:
⇒ £62 + £7 = £69
Therefore, Ruth will pay £69 if she buys a dress and shoes.
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)
m = 
= 
= - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 1) , then
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = - 3x + 7 ← equation of line
Answer:
Volume = 175 cm³
Step-by-step explanation:
We can picture this image as a whole rectangular prism, with a part that has been cut out of it.
Step 1: Volume of original prism
We are going to solve the volume of the original prism, with the dimensions of 9, 7, and 5
Step 2: Volume of part cut out
We are solving the volume of that part that has been cut out ( missing space)
- V = 5 * (9-2) * (7-3)
- V = 5 * 7 * 4
- V = 140
Step 3: Total Volume
Now we just subtract the cutout part from the original volume
Volume = 175 cm³
Note, we could have also found the volume by splitting this shape into two prisms with dimensions (9 * 3 * 5) and (4 * 5 * 2). This way would also get us:
- V = (9 * 3 * 5) + (4 * 5 * 2)
- V = 135 + 40
- V = 175
-Chetan K
3^8 = <span>6561
3^9 = </span><span>19683
6581 x 19683 = </span><span>129533823
quite a big number</span>
