If Catherine traveled 3,600 miles in 9 hours on her plane flight to her vacation destination, at what rate was the plane traveling?
A.
405 mph
B.
390 mph
C.
400 mph
D.
410 mph
Bot can you help
Sure, I can help! What do you need assistance with?
If Catherine traveled 3,600 miles in 9 hours on her plane flight to her vacation destination, at what rate was the plane traveling?
A.
405 mph
B.
390 mph
C.
400 mph
D.
410 mph
To find the rate at which the plane was traveling, we need to divide the distance traveled (3,600 miles) by the time it took to travel that distance (9 hours):
Rate = Distance/Time
Rate = 3600 miles / 9 hours
Rate = 400 mph
Therefore, the answer is C. 400 mph.
Which of the following expressions represents two times the sum of p and 11?
Bot what is Which of the following expressions represents two times the sum of p and 11?
The expression that represents two times the sum of p and 11 is:
2(p + 11)
This expression can be simplified by distributing the 2:
2p + 22
So, the answer is 2p + 22.
Hillview Elementary School has 3 sixth-grade classes of 25 students each. On a Friday, the entire 6th grade went on a field trip to the science museum. Some of the 6th graders were absent that day.
If s represents the number of 6th grade students who were absent on that Friday, which of the following expressions shows how many 6th graders went to the science museum?
The total number of sixth-grade students is:
3 classes × 25 students/class = 75 students
Let x be the number of students who went on the field trip.
We can represent the number of students who were absent as s. Therefore:
number of students who went on the trip + number of students who were absent = total number of students
x + s = 75
Solving for x we get:
x = 75 - s
So, the expression that shows how many 6th graders went to the science museum is:
75 - s
Hillview Elementary School has 3 sixth-grade classes of 25 students each. On a Friday, the entire 6th grade went on a field trip to the science museum. Some of the 6th graders were absent that day.
If s represents the number of 6th grade students who were absent on that Friday, which of the following expressions shows how many 6th graders went to the science museum?
A.
(25 - 3) ÷ s
B.
(25 ÷ 3) - s
C.
(25 - 3) × s
D.
(25 × 3) - s
The correct expression that shows how many 6th graders went to the science museum is:
75 - s
Therefore, none of the given options is the correct expression.
Which of the following is a statistical question?
A.
What is Kaycee's weight?
B.
What are the weights of the students in Kaycee's reading class?
C.
How many students are in Kaycee's reading class?
D.
How many students know how much they weigh?
A statistical question is a question that can be answered by collecting data and conducting statistical analysis on that data.
Out of the given options, the only question that fits this definition is:
B. What are the weights of the students in Kaycee's reading class?
This question can be answered by collecting data on the weights of the students in Kaycee's reading class and conducting statistical analysis on that data.
80 - 3 × (5 - 3)3
Bot
Yes, how can I assist you?
What is the answer to 80 - 3 × (5 - 3)3
To solve the given expression, we can follow the order of operations (PEMDAS) which is Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction in that order.
So we first simplify the expression in the parentheses, which we get:
80 - 3 × (5 - 3)3 = 80 - 3 × 2 × 3
Now we can multiply 3 and 2 which gives us 6:
80 - 3 × (5 - 3)3 = 80 - 18
Finally, we can subtract 18 from 80:
80 - 18 = 62
Therefore, the answer is 62.
Try a different method
Bot try a different method
Peter and his four brothers combined all of their money to buy a video game. If 20% of the total money is Peter's, and $12.00 of the total money is Peter's, how much do all five brothers have combined?
In which quadrant does the following ordered pair lie?
(-2 , 7)
The given ordered pair (-2 , 7) represents the point that is 2 units to the left of the origin (since the x-coordinate is negative) and 7 units above the origin (since the y-coordinate is positive).
Therefore, the point (-2 , 7) is in the second quadrant.
Plot and connect the points A(-5, 5), B(3, -4), C(-5, -4), and find the area of the triangle formed.
First, let's plot the given points on a coordinate plane:
```
|
|
|
C (-5,-4)
-------O----------------
|
|
A (-5,5)| B(3,-4)
|
```
Next, we can see that the line segments AB and BC are both horizontal while AC is vertical. Therefore, the triangle formed by these points is a right triangle. We can find the length of the legs and use the formula for the area of a right triangle to find the area.
Using the distance formula, we can find that:
AB = sqrt((3-(-5))^2 + (-4-5)^2) = sqrt(64 + 81) = sqrt(145)
BC = sqrt((-5-3)^2 + (-4-(-4))^2) = sqrt(64) = 8
AC = sqrt((-5-(-5))^2 + (-4-5)^2) = sqrt(100) = 10
Since AB and BC are the legs of the triangle, and AC is the hypotenuse, we can use the formula for the area of a right triangle:
Area = (1/2) * AB * BC
Area = (1/2) * sqrt(145) * 8
Area = 4 * sqrt(145)
Therefore, the area of the triangle formed by these three points is 4 * sqrt(145) square units.
try a different method
Since we already determined that the triangle is a right triangle and we have the coordinates of the vertices, there's actually a simpler method for finding its area using the distance formula.
First, we can find the length of one of the legs using the coordinates for points A and B:
AB = sqrt((3 - (-5))^2 + ((-4) - 5)^2) = sqrt(64 + 81) = sqrt(145)
Next, we can find the length of the other leg using the coordinates for points B and C:
BC = sqrt((-5 - 3)^2 + ((-4) - (-4))^2) = sqrt(8^2) = 8
Now, we know that the area of a right triangle is given by the formula:
Area = (1/2) * base * height
Since the legs of the triangle are its base and height, we can use the lengths we found above to calculate the area:
Area = (1/2) * AB * BC
Area = (1/2) * sqrt(145) * 8
Area = 4 * sqrt(145)
Therefore, the area of the triangle formed by these three points is 4 * sqrt(145) square units.
If a = 8 and b = 6, what is the value of the following expression?
4a + b
If a = 8 and b = 6, then we can substitute these values into the given expression to find its value:
4a + b = 4(8) + 6
= 32 + 6
= 38
Therefore, the value of the expression 4a + b is 38 when a = 8 and b = 6.
Chad recorded the temperature in Angelfire, New Mexico, at 9:00 a.m. on Monday and Tuesday. The temperatures are shown in the table below.
Monday Tuesday
-2°F -8°F
-2°F __ -8°F
Which symbol best describes the comparison of temperature on Monday and Tuesday?
The comparison of temperature on Monday and Tuesday can be represented by the inequality:
-2°F > -8°F
This inequality indicates that the temperature on Monday is greater than the temperature on Tuesday.
Therefore, the symbol ">" (greater than) best describes the comparison of temperature on Monday and Tuesday.
A packing operator can assemble 3 cardboard boxes in 7 minutes. At this rate, how many boxes can she assemble in 35 minutes?
Bot whats the answer?? A packing operator can assemble 3 cardboard boxes in 7 minutes. At this rate, how many boxes can she assemble in 35 minutes?
To solve the given problem, we can use proportionality. We can say that the number of boxes assembled is directly proportional to the amount of time it takes to assemble them. This means that we can set up a proportion as follows:
number of boxes / time = constant rate
We know that the operator can assemble 3 boxes in 7 minutes, so:
3 / 7 = constant rate
To find out how many boxes she can assemble in 35 minutes, we can cross-multiply and solve for the unknown value:
3 / 7 = x / 35
Multiplying both sides by 35:
3 * 5 = 7x
Dividing both sides by 7:
x = 3 * 5/7
x = 15/7
Therefore, the packing operator can assemble approximately 2.14 cardboard boxes in 35 minutes.