The standard form: Ax + By = C
y = 90 - 15x <em>add 15x to both sides</em>
<h3>15x + y = 90</h3>
Answer:
42.8%
Step-by-step explanation:
Step one:
given data
A department store buys 100 shirts at a cost of $700
let us find the cost of 1 shirt
cost of 1 shirt= 700/100= $7 per shirt
The cost price per shirt = $7
We are given that the selling price = $10 per shirt
Step two:
The percent markup can be found as
percent markup= selling-cost price/cost price*100
percent markup= 10-7/10*100
percent markup= 3/7*100
percent markup= 0.428*100
percent markup= 42.8%
Answer:

Step-by-step explanation:
The base of the pyramid we need to study is a hexagon.
Let's look at the attached image of an hexagon to understand how we are going to find the area of this figure.
Notice that an hexagon is the combination of 6 exactly equal equilateral triangles in our case of size "2x" (notice that the "radius" of the hexagon is given as "2x")
Therefore the area of the hexagon is going to be 6 times the area of one of those equilateral triangles.
We know the area of a triangle is the product of its base times its height, divided by 2: 
We notice that the triangle's height is exactly what is called the "apothem" of the hexagon (depicted in green in our figure) which measures
, so replacing this value in the formula above for the area of one of the triangles:

Then we multiply this area times 6 to get the total area of the hexagon (6 of these triangles):
Area of hexagon = 
which is the last option given in the list.
Answer:
0.4
Step-by-step explanation:
For independent events,
P(X ∩ Y) = P(X)* P(Y)
=>
1/3 = P(X)*(5/6)
solve for P(X) =>
P(X) = (1/3)*(6/5) = 2/5 = 0.4