What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:00?
Answer:
[tex]120^o[/tex]
Step-by-step explanation:
We are asked to find the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:00.
Since we know that clock is a circle made of 360 degrees.
Angle described by minute hand in one minute equals to 6 degrees (360/60). Angle described by hour hand in 1 hour equals 30 degrees (360/12).
At 4:00 minute hand will be at 12 and hour hand will be at 4. So we will multiply 4 by 30 to find the measure of angle formed when the clock shows 4:00.
[tex]\text{Measure of angle}=4\times 30^o[/tex]
[tex]\text{Measure of angle}=120^o[/tex]
Therefore, the measure of the angle formed by the minute hand and the hour hand of a clock, when the clock shows 4:00 is 120 degrees.
A trinket company has a warehouse that contains 50,000 trinkets. At the end of each day, a truck picks up 4,000 trinkets to deliver to the trinket store. When the warehouse drops below 15,000 trinkets, the company will begin producing more trinkets to restore the inventory. 1) Write an equation for the number of trinkets in the factory after days. 2) After how many days will the factory begin producing trinkets?
James believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request. He asked 500 students at his school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?" The results are shown in the table below:
Honor roll Not on honor roll Total
Received math class requested 315 64 379
Did not get math class requested 41 80 121
Total 356 144 500
Help James determine if all students at his school have an equal opportunity to get the math class they requested. Show your work and explain your process for determining the fairness of the class assignment process.
Based on the table:
Honor students:
315/356 = 88.48% is the total number of people who got the math class requested whereas
Non-honor students:
64/144 = 44.44% did not get the math class requested
So…
They will not have equal chance to get the math class they demanded, if both percent’s were equal, it would be just. For honors students, 88% of them will get the class they demanded, but for non honors students it's 44%.
whats the equation for this problem?
A human hair was measured to be 8.0×10−4 inch thick. A cat hair was measured to be 4.0×10−1 inch thick. How much greater is the thickness of the cat hair than the human hair? Write the answer in standard form.
Human hair: 8.0 x 10-4 = 0.00080
Cat hair: 4.0 x 10-1 = 0.40
Subtracting: 0.40 - 0.00080 = 0.3992
Using rules of precision, the answer becomes 0.40
Answer:
time 4learning answer is 500
Step-by-step explanation:
What is the equation of the line that is parallel to the line y = x + 4 and passes through the point (6, 5)?
y = x + 3
y = x + 7
y = 3x – 13
y = 3x + 5
Answer:
b
Step-by-step explanation:
The equation of the line parallel to y = x + 4 passing through the point (6, 5) is y = x - 1, which has the same slope as the given line but a different y-intercept, determined by the given point.
Explanation:The question asks for the equation of a line that is parallel to y = x + 4 and passes through the point (6, 5). Since the line we are looking for must be parallel, it will have the same slope as the given line, which in this case is 1 (since the coefficient of x is 1 in the given equation). The general form of the line we're looking for is y = x + b, where b is the y-intercept. To find the specific equation, we substitute the point (6, 5) into the equation to solve for b:
5 = (1)(6) + bThus, the equation of the line that meets the conditions is y = x - 1, which is not represented in the options given. Since none of the options match, it's possible that there might have been a mistake in the options provided or an error in the transmission of the question. However, based on the information given, this is the correct equation for the line parallel to y = x + 4 that passes through (6, 5).
75 percent of 88 is the same as 60 percent of what number?
Which situation CANNOT be represented by this equation? −14x+14=8
A hot-air balloon has a 14-foot diameter that each 14 of an hour gets steadily smaller.At what rate, x, does the balloon have to shrink per hour before it has shrunk to a diameter of 8 feet?
A hot-air balloon has a 14-foot diameter that is getting smaller at a rate of 14 foot per minute. How many minutes, x, will it take before the balloon has shrunk to a diameter of 8 feet?
A hot-air balloon has an 8-foot diameter that is changing at a rate of 14 foot per minute. How long in minutes, x, will it take until the balloon has a diameter of 14 feet?
Answer:
The third option is the answer.
Step-by-step explanation:
[tex]-14x+14=8[/tex]
A hot-air balloon has an 8-foot diameter that is changing at a rate of 14 foot per minute. How long in minutes, x, will it take until the balloon has a diameter of 14 feet?
The equation in this case will be : [tex]8-14x= 14[/tex]
a female bunny gained one pound per week for six weeks. a male bunny gained two pounds per week for six weeks. how many more pounds did the male bunny gain than the female bunny. two pieces of information are missing
Answer:
6 lbs
Step-by-step explanation:
Female: 1 lb/week
Male: 2 lbs/week
How much did the Female gain in 6 weeks?
1 x 6= 6 lbs.
How much did the Male gain in 6 weeks?
2 x 6= 12 lbs.
How much more did the Male gain than the female?
12-6=6
The male gained 6 more lbs than the female
6 pounds more the male bunny gain than the female bunny.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees
Given:
A female bunny gained one pound per week for six weeks.
So, Female Bunny Weigh in Six weeks= 6 Pounds.
Now, male bunny gained two pounds per week for six weeks.
So, Male Bunny Weigh in Six weeks= 12 Pounds.
Thus, Male Bunny weigh more by (12 - 6)= 6 pounds.
Hence, Male Bunny has 6 Pounds more than female Bunny.
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Least to greatest 1/2, 2/5, 6/10
The owner of a bike shop sells unicycle and bicycles and keeps inventory by counting seats and wheels. One day she counts 20 seats and 28 wheels. The equation representing the total number of seats is u+b=20 where u is the number of unicycles and b is the number of bicycles. Select the equation representing the number of wheels.
The equation u+2b=28 represents the number of wheels, which is correct option(C).
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
The owner of a bike shop sells unicycles and bicycles and keeps inventory by counting seats and wheels. One day, she counts 20 seats and 28 wheels.
u is the number of unicycles and b is the number of bicycles.
There are total 20 seats
⇒ u+b=20
unicycle has 1 wheel and bicycle has 2 and total there are 28 wheels
⇒ u+2b=28
Hence, this equation represents the number of wheels.
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Colby and Jaquan are growing bacteria in an experiment in a laboratory. Colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. Jaquan has a different type of bacteria that doubles every 3 hours. How many bacteria should Jaquan start with so that they have the same amount at the end of the day?
Answer:
800
Step-by-step explanation:
204,800 / 2 ^ 8 = 800
What is the value of x? Enter your answer in the box. x=
Answer:
x^2 + 6^2 = 10^2
x^2 + 36 = 100
x^2 = 64
x = 8
Answer:
x=8
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem to find the leg of the triangle
a^2 + b^2 = c^2
where a and b are the legs and c is the hypotenuse.
We know one of the legs is 6 and the hypotenuse is 10
6^2 +x^2 = 10^2
36+ x^2 = 100
Subtract 36 from each side
36-36 +x^2 = 100-36
x^2 = 64
Take the square root of each side
sqrt(x^2) = sqrt(64)
x = 8
Nayati wants to swim 50 miles this school year. She plans to swim 1/4 mile each day. How many days will it take her to swim 50 miles. Show your work.
A new washing machine used 3 2/4 gallons of water per full load to clean cloths. If John washed 2 2/3 loads of clothes, how many gallons of water would be used?
Please help me pleaseee
f(t)=5t−7 please help
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which scale facor would produce an expansion under a dilation of the original image
how can you find x in the equation ax-bx+y=z
The total area of the state of tennessee is 69,919 square miles. The area of Nashville is 604 square miles. if a meteor were its land somewhere in the state, estimate the probability that it would land within the city limits of the capital.
Answer:
44000
Step-by-step explanation:
e
i have done this before
Rosa has 5 pounds of apples how many pies with 8 ounces of apples can Rosa make
A1=12−12,a2=23−13,a3=34−14,a4=45−15,a5=56−16. a1=12−12,a2=23−13,a3=34−14,a4=45−15,a5=56−16.
a.find an explicit formula for anan: .
b.determine whether the sequence is convergent or divergent: . (enter "convergent" or "divergent" as appropriate.)
c.if it converges, find limn→∞an=limn→∞an= .
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Please explain how you got the answer.
Sue plays on a soccer team. In one game this season, she scored 8 goals, which was one-fourth of the goals she scored for the whole season. How many goals in all did she score this season? (Please show work)
Sue scored 8 goals in one game, which was one-fourth of her total goals for the season. Multiply 8 goals times 4, we find that Sue scored a total of 32 goals for the season.
Explanation:The problem describes Sue's performance in soccer which tells us that the 8 goals she scored in one game are equivalent to one-fourth of the total goals she scored for the season. To find the total score for the whole season, we have to multiply the periods' score by 4 which is the quotient of the total goals to the periods' goals. So, if 8 goals equals to one-fourth, her total score for that season is 8 goals * 4 = 32 goals. So, Sue, who plays on a soccer team, scored a total of 32 goals for the season.
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2. Draw a line with 3 distinct points on it. Label each with a different letter. How many different rays can you name using only the three given points? (1 point) 8 6 4 2
Which verbal expression best describes the algebraic expression 4x ÷ 6? (4 points)
The sum of four and some number divided by six
The quotient of four times some number and six
The product of some number and six divided by four
The quotient of four and some number times six
Answer:
its right i took test
Step-by-step explanation:
A tee box is 48 feet above its fairway.
A junior baseball team plays 16 games each summer. Last summer the team scored an average of 3.25 runs per game during the first half of the season. The tteam scored a total of 29 runs during the second half of the season. How many runs were scored by the team last season?
Final answer:
To determine the total number of runs scored by the team last season, we calculate the runs from both halves of the season. The team scored 55 runs in total, with 26 runs in the first half and 29 runs in the second half.
Explanation:
To calculate the total number of runs scored by the junior baseball team last season, we need to add the runs from the first half of the season to the runs from the second half of the season. The team played a total of 16 games, so the first half constitutes 8 games. They scored an average of 3.25 runs per game during the first half. To find the total runs for the first half, we multiply the average runs per game by the number of games:
First-half runs = Average runs per game × Number of games in the first half
First -half runs = 3.25 runs/game × 8 games = 26 runs
For the second half of the season, the team scored a total of 29 runs. Therefore, the total runs scored last season is the sum of the first and second halves:
Total runs = First half runs + Second half runs
Total runs = 26 runs + 29 runs = 55 runs
So, the team scored 55 runs in total last season.
Would this be correct?
Let x be a random variable with pareto distribution with parameter α . determine the probability distribution function of the random variable y = ln ( x ) . what kind of distribution does y have?