Final answer:
The midpoint of the line segment with endpoints (3,5) and (7,-3) is calculated using the midpoint formula and is (5,1).
Explanation:
To calculate the midpoint of a line segment with the endpoints (3,5) and (7,-3), you use the midpoint formula, which is given by the average of the x-coordinates and the average of the y-coordinates of the endpoints. The formula looks like this: M = ((x1 + x2) / 2, (y1 + y2) / 2).
For the given points (3,5) and (7,-3), the calculations are as follows:
The average of the x-coordinates: (3 + 7) / 2 = 10 / 2 = 5The average of the y-coordinates: (5 + (-3)) / 2 = 2 / 2 = 1Therefore, the midpoint of the line segment is (5,1).
Ann travels from town A to town B in 3 hours. She then takes another hour to travel from town B to town C. The distance between town A and town B is 100 miles. The distance between town B and town C is 40 miles. What is Ann's average speed for the whole journey?
Ann's average speed for the entire journey from town A to town C is calculated by dividing the total distance traveled, which is 140 miles, by the total time taken, which is 4 hours, resulting in an average speed of 35 mph.
Calculating Average Speed for the Whole Journey
To calculate Ann's average speed for the entire trip from town A to town C, we first need to find the total distance traveled and the total time taken. Ann travels 100 miles from A to B, then another 40 miles from B to C, totaling 140 miles for the distance. The time taken for the first leg of the trip is 3 hours, and for the second leg, it's 1 hour, totaling 4 hours for the entire journey.
Now, we calculate the average speed using the formula:
Average Speed = Total Distance / Total Time
Average Speed = 140 miles / 4 hours = 35 miles per hour (mph).
This is the average speed for the whole trip from town A to town C.
If the simplest interest on $2000 for two years is $280 then what is the interest rate
Wood floors are being refinished in an office. If the room is a square with 15 foot 6 inch sides, what will it cost to have the floor refinished at $5.98 per square foot?
$40.18
$240.25
$1,436.70
$1,455.30
Answer:
Option c $1436.70
Step-by-step explanation:
It is given that room is a square, and each sides = 15 ft. 6 inches
Since 15 ft. 6 inches = 186 inches or 15.5 feet
Area of square = Length × width
Area of the room = 15.5 × 15.5 = 240.25 square feet.
Cost to have the floor refinished per square foot = $5.98
Total cost for the room = 240.25 × 5.98 = 1436.695 rounded to $1436.70
Total cost for refinished would be $1436.70
How to convert 5 1/4 into a decimal
5 1/4 convert into a decimal is 5.25.
DecimalIn order to convert a fraction to a decimal first step is to divide the numerator by the denominator.
Where:
Numerator=1
Denominator=4
Hence:
1/4=0.25
5 1/4=5+0.25
5 1/4=5.25
Inconclusion 5 1/4 convert into a decimal is 5.25.
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The mixed number 5 1/4 is converted into a decimal by dividing the fraction part (1/4) to get 0.25 and adding it to the whole number (5) resulting in 5.25.
Explanation:To convert the mixed number 5 1/4 into a decimal, first understand that it consists of a whole number 5 and a fraction 1/4. The fractional part 1/4 can be converted to a decimal by dividing the numerator (1) by the denominator (4). Performing this division: 1 ÷ 4 = 0.25. Now, simply combine the whole number with the decimal, which gives 5 + 0.25 = 5.25. Therefore, 5 1/4 as a decimal is 5.25.
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one serving of soybeans contains 10 grams of protein, which is 4 times the amount in one serving of kale. write and solve an equation to find the amount of protein in one serving of kael
One serving of kale contains 2.5 grams of protein. This is determined by the equation 4x = 10, where x represents the protein content in one serving of kale, and solving for x.
Let x represent the amount of protein in one serving of kale. The given information states that one serving of soybeans contains 10 grams of protein, which is 4 times the amount in one serving of kale.
So, the equation is:
4x = 10
Now, solve for x:
x = [tex]\frac{10}{4}[/tex]
x = 2.5
Therefore, one serving of kale contains 2.5 grams of protein.
The complete question is:
One serving of soybeans contains 10 grams of protein, which is 4 times the amount in one serving of kale. Write and solve an equation to find the amount of protein x in one serving of kale.
Find the diameter of a circle that has an area of 254.34mm2
Im desperate! please help!
Should an estimate or the exact answer be calculated? Then do the appropriate calculation.
The conservation club participated in a beach cleanup program over a 5 week period. Their goal was to collect at least 60 pounds of trash. They collected pounds in each of the first two weeks and pounds for each of the last three weeks. Did the club reach its goal?
A.
An estimate can be used to know if the goal was reached.
12 • 2 + 13 • 3 = 63
At least 63 lb were collected.
B.
The exact answer is needed to know if the goal was reached.
pounds were collected.
the science department buys the equipment shown in the table they bought all three items this year and how many years do they have to buy all three items again
Could someone tell me the step to step guide on how to do any subject formulas question in Maths and could someone help me do the subject formulas questions in the photo☺
Use the clues to find the mystery number.
The number has 6 digits.
The total value of the largest digit is 8000.
The digit in the tens place is 2 less than the digit in the hundreds place.
The sum of the digit in the tens place and the digit in the hundreds place is equal to the digit in the thousands place.
The digit in the tenths place has the same value in every place.
The remaining digit is the largest even digit.
What is the mystery number?
There are 6 baskets on the table. Each basket has 144 crayons in it. How many crayons are there?
Numbers with the same absolute value are__________
Solve the inequality -7+2x<_1 where x equals an integer. (How do you get the answer?)
Algebra write all of the digits that can replace each
Zabato is thinking of a number. Three times the sum of the number and ten is the same as eight times the number. What is his number??
eight less than a number s is three more than four times a number t. solve for s
The solution is s = 4t + 11.
Let's translate the problem into an equation:
s - 8 = 4t + 3
Now we can solve for s by adding 8 to both sides of the equation:
s = 4t + 3 + 8
Finally, we can simplify the equation by combining the constant terms:
s = 4t + 11
Therefore, the solution is:
s = 4t + 11
for such more question on equation
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The distance between the baseball stadium and the airport is 1.6x10^6 centimeters. Which unit of measurement is most appropriate to measure the distance. ( i need to
Get this right or i will fail)
A. Inches
B. Milimeters
C. Kilometers
D.feet
Answer:
C. kilometers
Step-by-step explanation:
How many equal line segments are needed to make a row of 6 triangles
Answer:
To make a triangle you need three line segments.So,First triangle consist of three and then 2 segments are added,then 2,....so,on, till you obtain six triangles.
Total number of Line segments
=3+2+2+2+2+2
=13
Figure is attached below.
To draw 6 triangles in a row , Total number of line segments needed=13
4/11+s=9/22 how to I find the answer to this
8.76×106 is times than 8.76×102 .
Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at least 24 ft and must go a horizontal distance of no more than 10 ft. The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.
The graph shows the feasible region, where x represents the horizontal distance and y represents the vertical distance.
Which ordered pairs meet all the constraints for a successful launch and make sense in context of the situation?
Select each correct answer.
(0, 33)
(4, 36)
(4.8, 30.5)
(9, 26)
(2, 22)
Let
x--------> the horizontal distance in feet
y--------> the vertical height in feet
we know that
The constraints are
1) [tex]y\geq 3x[/tex]
2) [tex]24\ ft\leq y \leq 33\ ft[/tex]
3) [tex]x\leq10 \ ft[/tex]
Let's verify each case to determine the solution to the problem.
case A) point [tex](0,33)[/tex]
Substitute the values of x and y in each of the constraints
constraint 1
[tex]33\geq 3*0[/tex]
[tex]33\geq 0[/tex] ---------> is true
constraints 2
[tex]24\ ft\leq 33 \leq 33\ ft[/tex]-------> is true
constraints 3
[tex]0\leq10 \ ft[/tex]--------> is true
therefore
the ordered pair [tex](0,33)[/tex] meet all the constraints for a successful launch
case B) point [tex](4,36)[/tex]
Substitute the values of x and y in each of the constraints
constraint 1
[tex]36\geq 3*4[/tex]
[tex]36\geq 12[/tex] ---------> is true
constraints 2
[tex]24\ ft\leq 36 \leq 33\ ft[/tex]-------> is not true
constraints 3
[tex]4\leq10 \ ft[/tex]--------> is true
therefore
the ordered pair [tex](4,36)[/tex] does not meet all restrictions for a successful launch
case C) point [tex](4.8,30.5)[/tex]
Substitute the values of x and y in each of the constraints
constraint 1
[tex]30.5\geq 3*4.8[/tex]
[tex]30.5\geq 14.4[/tex] ---------> is true
constraints 2
[tex]24\ ft\leq 30.5 \leq 33\ ft[/tex]-------> is true
constraints 3
[tex]4.8\leq10 \ ft[/tex]--------> is true
therefore
the ordered pair [tex](4.8,30.5)[/tex] meet all the constraints for a successful launch
case D) point [tex](9,26)[/tex]
Substitute the values of x and y in each of the constraints
constraint 1
[tex]26\geq 3*9[/tex]
[tex]26\geq 27[/tex] ---------> is not true
constraints 2
[tex]24\ ft\leq 26 \leq 33\ ft[/tex]-------> is true
constraints 3
[tex]9\leq10 \ ft[/tex]--------> is true
therefore
the ordered pair [tex](9,26)[/tex] does not meet all restrictions for a successful launch
case E) point [tex](2,22)[/tex]
Substitute the values of x and y in each of the constraints
constraint 1
[tex]22 \geq 3*2[/tex]
[tex]22\geq 6[/tex] ---------> is true
constraints 2
[tex]24\ ft\leq 22 \leq 33\ ft[/tex]-------> is not true
constraints 3
[tex]2\leq10 \ ft[/tex]--------> is true
therefore
the ordered pair [tex](2,22)[/tex] does not meet all restrictions for a successful launch
the answer is
[tex](0,33)[/tex]
[tex](4.8,30.5)[/tex]
Answer:
The ordered pairs that meet all the constraints for a successful launch and make sense in context of the situation are:
(0,33) and (4.8,30.5)
Step-by-step explanation:
Here x represent the horizontal distance and y represent the vertical distance.
From the given information in the question we can make the following inequalities:
The rocket must reach a height of at least 24 ft and must go a horizontal distance of no more than 10 ft.y ≥ 24
and x ≤ 10
The vertical height must be at least three times as high as the horizontal distance.i.e. y ≥ 3x
No rocket should go higher than 33 ft.i.e. y ≤ 33
Hence, after combining all the inequalities we have:
x ≤ 10
24 ≤ y ≤ 33
and y ≥ 3x
1)
(0, 33)
As (0,33) satisfies all the constraints of the given problem.
Hence, this ordered pair will lie in the feasible region.
2)
(4, 36)
As the height that is the y-value has to be less than 33.
Hence, the ordered pair (4,36) does not lie in the feasible region.
3)
(4.8, 30.5)
It satisfies all the inequalities of a successful launch.
Hence, this ordered pair will lie in the feasible region.
4)
(9, 26)
As the property that y ≥ 3x mjust be satisfied.
But here at x=9
y ≥ 27
but we are given y=26.
Hence, this ordered pair also does not lie in the feasible region.
5)
(2, 22)
As the minimum vertical distance must be 24.
But here we are given y=22.
Hence, this ordered pair does not lie in the feasible region.
Describe two quantities that can be measured accurately by integers
On a miniature golf course the distance from the tee to the first hole is 96 inches the distance to the second hole is 3 yards on the third tee the holes is 12 feet away which of the tees is farthest from the whole
Final answer:
After converting all distances to inches, the third tee is the farthest from the hole at 144 inches.
Explanation:
To find out which tee is farthest from the hole, we need to convert all distances to the same unit. For this problem, we will use inches, since the first distance is already given in inches.
The first hole is 96 inches away.The second hole is 3 yards away. There are 36 inches in a yard, so this is 3 yards × 36 inches/yard = 108 inches.The third hole is 12 feet away. There are 12 inches in a foot, so this is 12 feet × 12 inches/foot = 144 inches.Comparing the distances, the third hole is the farthest away at 144 inches.
what names apply to the square root of 36?
the average length of a lady bug can range from .08 to .4 inch. find 2 lengths that are within the given span
Final answer:
To find two lengths within the given span of 0.08 to 0.4 inches for a ladybug, we can choose any two numbers between this range. For example, we can choose 0.1 inches and 0.3 inches.
Explanation:
To find two lengths within the given span of 0.08 to 0.4 inches for a ladybug, we can choose any two numbers between this range. For example, we can choose 0.1 inches and 0.3 inches. Both of these lengths fall within the given range.
4.07 Litre+1 1/5 litre+0.1litre= milliltre
can someone help me?
Choose the constant term that completes the perfect square trinomial.
X^2 + 1/3x
1/36 is the answer
to ur problem
(^_>*)
Kendra has 70$. Alonzo has one tenth as much as Kendra. Markio has 10times as much money as Kendra. How much money does Alonzo have? How much money does Markio!
Answer:
700$
Step-by-step explanation:
Evaluate the expression. 16(84+124) Enter your answer as a number, like this: 42 80 pts
Answer:
Add 84 + 124 = 208
multiply by 16 = 3328 :)
Maggie has a ribbon 27 feet long what is the length of the ribbon in yards
27 feet is 9 yards
hope this helps