Using proportions, it is found that the possible amounts that he will spend on candy are represented by the inequality 
.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount.
In this problem, each pound of candy costs $6, and he will buy at most 9 pounds, hence the maximum amount he will spend is given by:
M = $6 x 9 = $54.
Hence, the possible amounts that he will spend on candy are represented by the inequality .
More can be learned about proportions at brainly.com/profile/joaobezerra-15918078
Answer: 804.25cm
Step-by-step explanation:
V=πr2h/3
pi= 3.14
r=8cm
h= 12cm
Slot the values
3.14× (8x8) × 12/3
3.14 × 64 x 4
V= 804.25cm
A system of equations has an infinite number of solutions when after solving the system, you end up with a true statement.
For example, let’s say you solve a system of equations and your result is 5=5. 5=5 is a true statement, but it doesn’t tell us anything about the x or y value solutions to the system. So because we’re only left with 5=5, there are infinite solutions to the system.
Answer:
Height = 5 ft
Short base = 10 ft
Long base = 14 ft
Step-by-step explanation:
Let h = height, a = short base, b = long base.
From the question,
a = 2h
b = a + 4 = 2h + 4
The area of the trapezoid is given by 
. Thus,
or 
or 
We discard the negative value of h since it is a measurement and cannot be negative.
Given that the garden is rectangular and a line of roses form the diagonal 18.4 m long, we required to calculate the length of the perpendicular side.
Here we shall use the Pythagorean theorem.
c²=a²+b²
where c is the hypotenuse, a and b are the legs.
from the information given:
c=18.4 m
a=13 m
plugging this into our expression we get:
18.4²=13²+b²
next we solve for the value of b
b²=18.4²-13²
b²=338.56-169
b²=169.56
b=√169.56
b=13.0215
hence the length to the nearest tenth of a meter will be approximately 13.0 m
