Part A:
Given that <span>the mattress is sold for 50% off of the retail price, let the retail price of the mattress be x, then
50% of x = 1200
⇒ 0.5x = 1200
⇒ x = 1200 / 0.5 = 2400
Therefore, </span><span>the retail price of the mattress, before the discount is $2,400.
Part B:
Given that </span><span>the store marks up the retail price to 150% of the wholesale price. Let the whole sale price be p, then
(100% + 150%) of p = 2400
250% of p = 2400
2.5p = 2400
p = 2400 / 2.5 = 960.
Therefore, </span><span>the wholesale price, before the markup was $960</span>
Answer:
7 inches
Step-by-step explanation:
First you have to find the average height of each class.
4th Grade:
56, 47, 54, 51, 53, 58, 48, 54, 46, 53
Then you have add it all up and divide it by how many students there are.
56 + 47 + 54 + 51 + 53 + 58 + 48 + 54 + 46 + 53 = 520
520 ➗10= 52
Same process for the 7th Grade.
You end up getting 52 and 59. You then Subtract it to get the answer to the question.
52 - 59= 7 inches
Answer:
∠ A = 130° , ∠ B = 50°
Step-by-step explanation:
supplementary angles sum to 180°
express ∠ A in terms of ∠ B , that is ∠ A = 3∠B - 20 , then
∠ A + ∠ B = 180° , that is
3∠B - 20+ ∠B = 180 ( add 20 to both sides )
4∠B = 200 (divide both sides by 4 )
∠ B = 50°
∠ A = 3 × 50° - 20 = 150° - 20° = 130°
Answer:

Step-by-step explanation:
we know that
The probability that a point chosen randomly inside the rectangle is in the triangle is equal to divide the area of the triangle by the area of rectangle
Let
x-----> the area of triangle
y----> the area of rectangle
P -----> the probability

<em>Find the area of triangle (x)</em>

<em>Find the area of rectangle (y)</em>

<em>Find the probability P</em>

Answer:
x= 19/7
Step-by-step explanation: