Inequality helps in comparison. The possible number of table runners that Manuel could make is 20, 22, and 24.
<h3>What is Inequality?</h3>Inequality helps us to compare two unequal expressions to form an equation.
Given to us
Left over cloth = 18 - (3/4)t
In the given equation, t shows the number of table runners that can be made with 18 yards of fabric.
As the total amount of fabric that is used for making must not be more than 18 yards, we can write the equation as,
solving it for t,
Thus, the number of tables runner that can be made with 18 yards of cloth such that the size of the table runner is must be equal to less than 24.
Hence, the possible number of table runners that Manuel could make is 20, 22, and 24.
Learn more about Inequality:
Answer:
The capacity of the mug = cups
Step-by-step explanation:
Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.
To find - Find the capacity of the mug. Write the answer as a fraction or mixed number
Proof -
Let the capacity of water = x
Given that,
A mug is full of water
⇒Total cups of water in the mug =
Now,
Given that, The mug contains of a cup of water.
∴ we get
=
⇒x = × 8
=
= =
⇒x =
∴ we get
The capacity of the mug = cups
Answer:
The answer is below
Step-by-step explanation:
The diameter of a tire is 2.5 ft. a. Find the circumference of the tire. b. About how many times will the tire have to rotate to travel 1 mile?
Solution:
a) The circumference of a circle is the perimeter of the circle. The circumference of the circle is the distance around a circle, that is the arc length of the circle. The circumference of a circle is given by:
Circumference = 2π × radius; but diameter = 2 × radius. Hence:
Circumference = π * diameter.
Given that diameter of the tire = 2.5 ft:
Circumference of the tire = π * diameter = 2.5 * π = 7.85 ft
b) since the circumference of the tire is 7.85 ft, it means that 1 revolution of the tire covers a distance of 7.85 ft.
1 mile = 5280 ft
The number of rotation required to cover 1 mile (5280 ft) is:
number of rotation =
Answer:
The distance between 12m-sides is .
Step-by-step explanation:
It is given that the parallelogram has sides 10m and 12m and an angle of 45°.
Draw an altitude from one 12m side to another 12 m side as shown in below figure.
The opposite angles of parallelogram are same. Two angles are obtuse angles and two are acute angle.
Since angle C is acute angle therefore it must be 45 degree.
Therefore the distance between 12m-sides is .
