Answer:
Step-by-step explanation:
There are two consecutive positive even integers such that the square of the first is 364 more than five times a second. What are the two numbers?
Two consecutive year positive integers are represented by
x and x + 1
First integer = x
Second integer = y
There are two consecutive positive even integers such that the square of the first is 364 more than five times a second.
This is represented mathematically as:
x² = 364 + 5(x + 1)
x² = 364 + 5x + 5
x² -5x -5 - 364
x² - 5x - 369
This is the concept of application of geometry and financial mathematics; To calculate for the total cost of the carpet we proceed as follows;
Total cost=[area of the carpet]*[price per square yard]
area of carpet is given by:
Area=πr^2
where;
radius,r=6 yeards
=π*6^2
=113.1 square yards
therefore the price of the carpet will be:
113.1*14
=$1,583.4
Answer:
w = 3
l = 10
Step-by-step explanation:
l = 4w-2
P = 26cm
P = (l + w) × 2
26 = (4w-2+w) ×2
26 = (4w + w - 2) × 2
26 = ( 5w - 2 ) × 2
26 ÷ 2 = 5w -2
13 = 5w - 2
13 + 2 = 5w
15 = 5w
w = 3
l = 4w - 2
l = (4 × 3) -2
l = 12 - 2
l = 10
35 people total that went on the trip.
