Bob makes $50 a day and works 22 days a month at the beginning of this month bob received a 10% pay increase how much more money
1 answer:
You might be interested in
*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*
(21)
Area of a Regular Hexagon: square units
(22)
Similar to (21)
Area = square units
(23)
For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:
Hence, area of the hexagon will be: square units
(24)
Given is the inradius of an equilateral triangle.
Substituting the value of inradius and calculating the length of the side of the equilateral triangle:
Side = 16 units
Area of equilateral triangle = square units
Answer:
The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.66
Step-by-step explanation:
Let us assume the cost of 1 pound salmon = $ m
So the cost of 1 pound of 1 pound swordfish cat = $ ( m - 0.20)
Now, the Amount of salmon purchased = 2 1/2 pounds
So, the amount of salmon purchased = 2.5 pounds
Cost of buying 2.5 pounds = 2.5 x ( 1 pound cost)
= 2.5 ( m) = $ 2.5 m ...... (1)
Also, the Amount of swordfish purchased = 1 1/4 pounds
So, the amount of swordfish purchased = 1.25 pounds
Cost of buying 1.25 pounds = 1.25 x ( 1 pound cost of swordfish)
= 1.25 ( m - 0.20) = $ 1.25 m - 0.25 .... (2)
Now, the combined cost paid = $ 31.25
⇒Cost of buying (2.5 pounds salmon + 1.25 pounds swordfish) = $ 31.25
or, 2.5 m + 1.25 m - 0.25 = 31.35 (from (1) and (2))
or, 3.75 m = 31.60
or, m = 31.60/3.75 = 8.43
⇒ m = $8.43
So, the cost of 1 pound salmon = m = $8.43
and the cost of 1 pound swordfish = m - 0.20 = $8.43 - 0.20 = $ 8.23
Hence, the combined cost 1 pound of salmon and 1 pound of swordfish = $8.43 + $ 8.23 = $ 16.66