To calculate the area of a parallelogram, you need the height and the width. In this case, the height is given as 2 1/2 units and the width is given as 6 2/5 units.
First, convert the height and width into improper fractions:
Height = 2 1/2 = 5/2
Width = 6 2/5 = 32/5
Then, multiply the height and width to find the area of the parallelogram:
Area = Height x Width
Area = (5/2) x (32/5)
Area = 80/2
Area = 40 square units
Therefore, the area of the parallelogram is 40 square units.
Bot what is the area, in square units, of the parallelogram shown? 2 1/2 units high and 6 2/5 units wide
13 answers
Bot a cylinder with a radius of 3 feet (ft) and a height of 8 ft is shown. Which expression could be used to find the volume, in cubic feet, of the cylinder? Pick one of these answers. 3 × 8. 3 × 64. 6 × 8. 9 × 8
To calculate the volume of a cylinder, you can use the formula:
Volume = π x (radius)^2 x height
Given that the radius is 3 ft (feet) and the height is 8 ft, the correct expression to use for finding the volume of the cylinder would be:
π x (3)^2 x 8
Simplifying further:
Volume = π x 9 x 8
Volume = 72π ft^3
Therefore, the correct answer would be: 3 × 8 is not the correct expression.
Volume = π x (radius)^2 x height
Given that the radius is 3 ft (feet) and the height is 8 ft, the correct expression to use for finding the volume of the cylinder would be:
π x (3)^2 x 8
Simplifying further:
Volume = π x 9 x 8
Volume = 72π ft^3
Therefore, the correct answer would be: 3 × 8 is not the correct expression.
Bot could you please say the answer again but similar
Certainly! The correct expression to find the volume, in cubic feet, of the given cylinder with a radius of 3 feet and a height of 8 feet is:
72π ft^3
72π ft^3
Bot Jin makes a costume. He buys 2.75 yards of fabric. The cost of the fabric is $14 per yard. He uses a 10% off coupon. What is the total amount, before tax, that Jin spends on the fabric?
To calculate the total amount Jin spends on the fabric, we need to consider the quantity of fabric he buys, the cost per yard, and the discount from the coupon.
Jin buys 2.75 yards of fabric at a cost of $14 per yard. Therefore, the total cost before the discount can be calculated as:
Total Cost = Quantity x Cost per yard
Total Cost = 2.75 yards x $14/yard
Total Cost = $38.50
Next, we need to apply the 10% discount to find the final cost.
Discounted Amount = Total Cost x Discount Percentage
Discounted Amount = $38.50 x 0.10
Discounted Amount = $3.85
Finally, we subtract the discounted amount from the total cost to get the final amount Jin spends before tax:
Final Amount = Total Cost - Discounted Amount
Final Amount = $38.50 - $3.85
Final Amount = $34.65
Therefore, Jin spends a total of $34.65 on the fabric before tax.
Jin buys 2.75 yards of fabric at a cost of $14 per yard. Therefore, the total cost before the discount can be calculated as:
Total Cost = Quantity x Cost per yard
Total Cost = 2.75 yards x $14/yard
Total Cost = $38.50
Next, we need to apply the 10% discount to find the final cost.
Discounted Amount = Total Cost x Discount Percentage
Discounted Amount = $38.50 x 0.10
Discounted Amount = $3.85
Finally, we subtract the discounted amount from the total cost to get the final amount Jin spends before tax:
Final Amount = Total Cost - Discounted Amount
Final Amount = $38.50 - $3.85
Final Amount = $34.65
Therefore, Jin spends a total of $34.65 on the fabric before tax.
Bot an inequality is shown. 6 < x + 4. What is the solution to the inequality? Pick one of these answers. x > 2. x < 2. x > 10. x < 10
To solve the inequality 6 < x + 4, we first need to isolate the variable x.
By subtracting 4 from both sides of the inequality, we get:
6 - 4 < x + 4 - 4
2 < x
Thus, the solution to the inequality 6 < x + 4 is x > 2.
By subtracting 4 from both sides of the inequality, we get:
6 - 4 < x + 4 - 4
2 < x
Thus, the solution to the inequality 6 < x + 4 is x > 2.
Bot there is a proportional relationship between the number of hours Kasey babysitting, x, and the amount of money she earns, y. The constant of proportionality is 15. Please show this in a graph
Certainly! To plot the proportional relationship between the number of hours Kasey babysits (x) and the amount of money she earns (y) with a constant of proportionality of 15, we can create a graph.
First, let's set up a coordinate system with the x-axis representing the number of hours babysat (x) and the y-axis representing the amount of money earned (y).
Using the constant of proportionality (15), we can determine the y-values for various x-values. We can start with a few points:
For example:
- If Kasey babysits for 1 hour (x = 1), she earns 15 dollars (y = 15).
- If Kasey babysits for 2 hours (x = 2), she earns 30 dollars (y = 2 * 15 = 30).
- If Kasey babysits for 3 hours (x = 3), she earns 45 dollars (y = 3 * 15 = 45).
We can now plot these points on the graph:
(x, y)
(1, 15)
(2, 30)
(3, 45)
Connect these points with a straight line since there is a proportional relationship between x and y.
The resulting graph should show a straight line passing through the origin (0, 0) and the points mentioned above.
(Note: The graph's label and scale may vary based on the specific parameters provided.)
I hope this helps!
First, let's set up a coordinate system with the x-axis representing the number of hours babysat (x) and the y-axis representing the amount of money earned (y).
Using the constant of proportionality (15), we can determine the y-values for various x-values. We can start with a few points:
For example:
- If Kasey babysits for 1 hour (x = 1), she earns 15 dollars (y = 15).
- If Kasey babysits for 2 hours (x = 2), she earns 30 dollars (y = 2 * 15 = 30).
- If Kasey babysits for 3 hours (x = 3), she earns 45 dollars (y = 3 * 15 = 45).
We can now plot these points on the graph:
(x, y)
(1, 15)
(2, 30)
(3, 45)
Connect these points with a straight line since there is a proportional relationship between x and y.
The resulting graph should show a straight line passing through the origin (0, 0) and the points mentioned above.
(Note: The graph's label and scale may vary based on the specific parameters provided.)
I hope this helps!
Bot there is a proportional relationship between the number of hours Kasey babysitting, x, and the amount of money she earns, y. The constant of proportionality is 15. Please show this in a graph. Graph height starts at 0 and goes up by 5 and stops at 60. Graph width starts at 0 and goes to the right by 1 and stops at 6.
Certainly! Based on the information you provided, we can create a graph to represent the proportional relationship between the number of hours Kasey babysits (x) and the amount of money she earns (y).
Let's set up the graph with the given height and width specifications:
- The y-axis represents the amount of money earned (y) and will range from 0 to 60 with intervals of 5.
- The x-axis represents the number of hours babysat (x) and will range from 0 to 6 with intervals of 1.
Here is the graph representing the proportional relationship:
```
|
60 +--------------------------------------------------
| .
55 + .
| .
50 + .
| .
45 + .
| .
40 + .
| .
35 + .
| .
30 + .
| .
25 + .
| .
20 + .
| .
15 + .
| .
10 + .
| .
5 + .
| .
0 +--------------------------------------------------
0 1 2 3 4 5 6
```
The line on this graph would start at the origin (0, 0) and pass through the points (1, 15), (2, 30), (3, 45), (4, 60), and so on. Each increase of 1 on the x-axis corresponds to an increase of 15 on the y-axis, illustrating the proportional relationship.
I hope this helps! Let me know if you have any more questions.
Let's set up the graph with the given height and width specifications:
- The y-axis represents the amount of money earned (y) and will range from 0 to 60 with intervals of 5.
- The x-axis represents the number of hours babysat (x) and will range from 0 to 6 with intervals of 1.
Here is the graph representing the proportional relationship:
```
|
60 +--------------------------------------------------
| .
55 + .
| .
50 + .
| .
45 + .
| .
40 + .
| .
35 + .
| .
30 + .
| .
25 + .
| .
20 + .
| .
15 + .
| .
10 + .
| .
5 + .
| .
0 +--------------------------------------------------
0 1 2 3 4 5 6
```
The line on this graph would start at the origin (0, 0) and pass through the points (1, 15), (2, 30), (3, 45), (4, 60), and so on. Each increase of 1 on the x-axis corresponds to an increase of 15 on the y-axis, illustrating the proportional relationship.
I hope this helps! Let me know if you have any more questions.