Answer:
The solution in the attached figure
One possible solution is the point (30,60)
Step-by-step explanation:
Let
x -----> represents the number of tacos sold
y -----> represents the number of burritos sold
we know that
------> inequality A
-----> inequality B
using a graphing tool
The solution is the triangular shaded area
see the attached figure
One possible solution is the point (30,60)
Remember that if a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution
so
That means----> The number of tacos sold is 30 and the number of burritos sold
<u><em>Verify</em></u>
Substitute the value of x and the value of y in each inequality
Inequality A
----> is true
Inequality B
----> is true
The ordered pair satisfy both inequalities, then the ordered pair is a solution of the system
Answer:
18.85 inches³
Step-by-step explanation:
Given:
Height of the cylindrical glass, h = 8 inches
Diameter of the cylindrical glass = 2 inches
or
Radius of the cylindrical glass, r = 1 inches
Now,
the volume of the cylindrical glass = πr²h
or
the volume of the cylindrical glass = π × 1² × 8 = 8π inches³
therefore, the volume of tea in the cylindrical glass = 8π inches³
Now,
Lily drinks only 3/4 of her tea
therefore,
the volume of tea Lily drunk =
or
the volume of tea Lily drunk = 18.85 inches³
Answer:
<h3><u>Part A</u></h3>
Dimensions of tank:
- width = 8.75 in
- length = 8.75 in
- height = 23 in
⇒ Volume of each tank = width × length × height
= 8.75 × 8.75 × 23
= 1760.9375 in³
<h3><u>Part B</u></h3>
Given:
- Hot coffee density = 5.8 oz/in³
- Cold coffee density = 3.5 oz/in³
mass = density × volume
⇒ mass of hot coffee = 5.8 oz/in³ × 1760.9375 in³
= 10213.44 oz (nearest hundredth)
⇒ mass of cold coffee = 3.5 oz/in³ × 1760.9375 in³
= 6163.28 oz (nearest hundredth)
<h3><u>Part C</u></h3>
Convert the masses of the tanks from ounces to pounds
1 lb = 16 oz
⇒ mass of hot coffee tank = 10213.44 ÷ 16
= 638.34 lb (nearest hundredth)
⇒ mass of cold coffee tank = 6163.28 ÷ 16
= 385.21 lb (nearest hundredth)
If the table can hold a maximum of 800 lb:
hot coffee: 800 lb ÷ 638.34 lb = 1.25 (nearest hundredth)
cold coffee: 800 lb ÷ 385.21 lb = 2.08 (nearest hundredth)
Therefore, either:
- 1 tank of hot coffee <u>OR</u>
- 2 tanks of cold coffee
can be placed on a table which can support a maximum weight of 800 lb
Answer:
About 106.76 if you use 3.14 as pi
Step-by-step explanation:
c=2πr
So 2x3.14(pi)=6.28
6.28x17=106.76