Answer:
Step-by-step explanation:
Factors of 2556 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278. There are 17 integers that are factors of 2556. The biggest factor of 2556 is 1278. Positive integers that divides 2556 without a remainder are listed below.
Every number is divisible by itself and 1.
Calculating factors of 2556
2556/1 = 2556 gives remainder 0 and so are divisible by 1
2556/2 = 1278 gives remainder 0 and so are divisible by 2
2556/3 = 852 gives remainder 0 and so are divisible by 3
2556/4 = 639 gives remainder 0 and so are divisible by 4
2556/6 = 426 gives remainder 0 and so are divisible by 6
2556/9 = 284 gives remainder 0 and so are divisible by 9
2556/12 = 213 gives remainder 0 and so are divisible by 12
2556/18 = 142 gives remainder 0 and so are divisible by 18
2556/36 = 71 gives remainder 0 and so are divisible by 36
2556/71 = 36 gives remainder 0 and so are divisible by 71
2556/142 = 18 gives remainder 0 and so are divisible by 142
2556/213 = 12 gives remainder 0 and so are divisible by 213
2556/284 = 9 gives remainder 0 and so are divisible by 284
2556/426 = 6 gives remainder 0 and so are divisible by 426
2556/639 = 4 gives remainder 0 and so are divisible by 639
2556/852 = 3 gives remainder 0 and so are divisible by 852
2556/1278 = 2 gives remainder 0 and so are divisible by 1278
2556/2556 = 1 gives remainder 0 and so are divisible by 2556
Sunnyvale School is having their
annual lobster race. A team
consists of five lobsters. The
team score is the average of the five finishing place positions. His sister sally’s team has consistently finished behind his team, however, an unusual pattern has been noticed. For example, Sally’s first lobster finished right behind Peter’s first lobster. Her second lobster finished 2 places behind peter’s second lobster. Her third lobster finished 3 places behind peter’s third, her fourth was 4 places behind his fourth and her fifth was 5 places behind his fifth.
What is Sally's team score?
Sally's team score is 6.
We can determine Sally's team score by calculating the average of her team's finishing place positions.
From the information given, we know that:
Sally's first lobster finished one place behind Peter's first lobster.Sally's second lobster finished 2 places behind Peter's second lobster.Sally's third lobster finished 3 places behind Peter's third lobster.Sally's fourth lobster finished 4 places behind Peter's fourth lobster.Sally's fifth lobster finished 5 places behind Peter's fifth lobster.If we assume that Peter's team finished in 1st, 2nd, 3rd, 4th and 5th places, then we can calculate Sally's team score as follows:
Sally's first lobster finished in 2nd placeSally's second lobster finished in 4th placeSally's third lobster finished in 6th placeSally's fourth lobster finished in 8th placeSally's fifth lobster finished in 10th placeTo find the average of the five finishing place positions, we add up all the places and divide by 5:
(2 + 4 + 6 + 8 + 10) / 5 = 30 / 5 = 6
So, Sally's team score is 6.
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if i drank x ounces of juice and someone drank 1/3 more than that what is your equation.
Answer:
y = x + 1/3
Step-by-step explanation:
We know
You drank x ounces of juice and someone drank 1/3 more than what you think
Let's y represent the total, we have the equation
y = x + 1/3
Answer: 4/3x (or 1/3 + x, since your wording's pretty odd)
Step-by-step explanation:
i can't tell if the one-third you're referring to is a third of how many ounces of juice you drank (meaning it will change if you drank 1, 2, 3 oz of juice and so on) or if it's always going to be a third of an ounce more than the amount of oz of juice you drank (in which case it'd be 1/3 + x). anyway just choose whichever answer you're looking for :3
Evaluate the expression when x=3
, y=−4
, and z=−6
.
z−2xy=
z
−
2
x
y
=
The evaluation of the expression z − 2xy when x = 3, y = -4 and z = -6 is 18
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
Expression: z − 2xy
Values: x = 3, y = -4 and z = -6
Substitute the known values in the above equation, so, we have the following representation
z − 2xy = -6 - 2 * 3 * -4
Evaluate the products
This gives
z − 2xy = -6 + 24
Evaluate the like terms in the equation
So, we have the following representation
z − 2xy = 18
Using the above as a guide, we have the following:
The solution is 18
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I need help it’s my final!
A teacher writes the inequality x divided 6 < 12 on the board. A student solves the inequality and gets the result x < 2. What is the correct result?, What is the student's error?
Answer:
x = 1
Step-by-step explanation:
Terry had to travel outh 50 mile and then wet 25 mile. Find the hortet ditance between the tart and end point
Shortest distance between start and end point is 55.9 miles
According to given statement,
Terry had to travel south 50 miles and then west 25 miles.
We are taking X as a start point and Z is end point.
In triangle XYZ, we are taking angle Y to be of 90 degrees, which qualifies the Triangle XYZ to qualify Pythagorean theorem [The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right angle triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.]
XY = 50 miles
YZ= 25 miles
XZ^2 = XY^2 + YZ ^2
XZ^2 = (50) ^2 + (25) ^2 = 3125
XZ = 55.9
Shortest distance between start and end point is 55.9 miles
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A local boys club sold 196 bags of mulch and made a total of $357. It sold two types of mulch: hardwood for $2.00 a bag and pine bark for $1.75 a bag. How many bags of each kind of mulch did it sell?
Total 56 bags of hardwood and 140 bags of pine bark bags are sold.
In the given question, a local boys club sold 196 bags of mulch and made a total of $357.
It sold two types of mulch: hardwood for $2.00 a bag and pine bark for $1.75 a bag.
We have to find how many bags of each kind of mulch did it sell.
Let total number of x bags of hardwood sell.
Let total number of y bags of pine bark sell.
Now the equation should be
2x + 1.75y = 357............................(1)
Total number of bags sold 196.
So x + y = 196............................(2)
From the equation 2 the value of x = 196-y. Now putting the value of x in equation 1.
2(196 - y) + 1.75y = 357
392 - 2y + 1.75y = 357
392 - 0.25y = 357
Subtract 392 on both side, we get
-0.25y = -35
Divide by -0.25 on both side, we get
y = 140
Now putting the value of y in x = 196-y
x = 196 - 140
x = 56
Hence, 56 bags of hardwood and 140 bags of pine bark bags are sold.
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where would you put the decimal point in 201 x 15 to make it equal 30.15
201 x 15 = 30.15
Answer:
2.01 x 15 = 30.15
Step-by-step explanation:
2.01 x 15 = 30.15
or
201 * .15 = 30.15
Answer:
201 changes to 2.01 or 15 changes to 0.15
2.01 · 15 = 30.15
201 · 0.15 = 30.15
Step-by-step explanation:
Since 201 · 15 = 3015, and we want 30.15
We move the decimal two place to the left.
Since we did this on one side of the equation, we must do it on the other as well.
201 becomes 2.01. You could also change 15
15 becomes 0.15
VX
Linear equation: -Ź (6
(6x + 10) = 13
Step 1.-3x - 5 = 13
Step 2: -3x = 18
Step 3: x= -6
Which sequence describes the inverse operations used
for steps 2 and 3 to solve the linear equation?
O the addition property of equality and then the
division property of equality
O the addition property of equality and then the
multiplication property of equality
O the subtraction property of equality and then the
division property of equality
O the subtraction property of equality and then the
multiplication property of equality
Done
Intro
11. Which of the following is a solution to the
inequality c + 4 <-7?
(1) -15
(2) -10
(3) -5
(4) O 0
(5) 10
Answer:
-15
Step-by-step explanation:
That's the answer because
-15+4=-11
-15+4=-11-11<-7
If p is inversely proportional to the square of q and p is 3 when he was 12 determine p when q is equal to 3
Answer:
p = 48
Step-by-step explanation:
If p is inversely proportional to the square of q
This is written Mathematically as:
p ∝ 1/q²
p = k × 1/q²
p = k/q²
Cross Multiply
k = pq²
k = Constant of Proportionality
Step 1
We find k
When p is 3 when q was 12
k = pq²
k = 3 × 12²
k = 432
Step 3
determine p when q is equal to 3
p = k/q²
p = 432/3²
p = 48
Need help #’s 18-24 show work and answers please
Answer:
hope this helps you out good luck
I need Help in stuck on this
Answer:
Warmer than
Step-by-step explanation:
.......................
Answer:
warmer than
Step-by-step explanation:
-1.2°F is colder because the lower you go the colder you get
Write an expression equivalent to s+s+s+s that is a sum of two terms
Answer:
2s+2s
hope this helps
have a good day :)
Step-by-step explanation:
Please just write the numerical value of the volume of the prism.
I really need an answer for this FAST so if anybody can answer id really appreciate it :)
The volume of the prism in the attached figure is calculated to be
672 m³
How to find the volume of the prismIn the given problem, the formula used for volume of prism is
= area of base * height
Assuming a triangular base
area of triangular base = 1/2 * base * height
where
base = 12 m
height = 14 m
area of triangular base = 1/2 * 12 * 14
area of triangular base = 84 m²
The volume of the prism with a triangular base
volume of the prism = area of triangular base * height
where
area of triangular base = 84 m²
height = 8 m
volume of the prism = 84 * 8
volume of the prism = 672 m³
The volume of the prism is solved to be 672 m³
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HELP ASAP WILL MARK BRAINLIEST PART 2
Answer:
6) 2nd option
7) 1st option
8) [tex]\sqrt{576} = 24[/tex] in
Answer:
Q6. A = s²
Q7. s = √A
Q8. 24 inches
Step-by-step explanation:
Q8.
√576 = 24in.
One of the legs of a right triangle measures 3 cm and its hypotenuse measures 6 cm. Find the measure of the other leg
Answer: 27
Step-by-step explanation:
The Sanchez Family pays $1,975 per month to rent a four-bedroom house. They are planning to buy a house and make monthly payments of $2,590. If the cost of moving was $545, find their additional cost for housing the first year.
Complete the inequality below to describe the
domain of the graph shown.
Domain:
DONE
completo the inequality holow to dogorike the
On solving the provided inequality equation we cans ay that therefore, 60x + 45 <250 is the necessary inequality for the given situation.
Describe inequality.An inequality in mathematics shows how two values are related in an imbalanced algebraic expression. According to inequality signals, one of the two variables on either side of the inequality may be larger than, greater than or equal to, less than, or less than or equal to another value.
If the daily cost for each crew member is $60, the daily wage for crew members is $60, and the daily cost of operations is $45; the amount paid equals the total of the wages for each crew member plus the cost of operations. In this case, let x indicate the size of the crew.
= 60x + 45
Since the maximum daily payment is $250,
In other words, the total payment cannot be more than $250.
60x + 45 ≤ 250
Therefore , the required inequality for given problem is 60x + 45 ≤ 250.
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What is the measure? Would appreciate any help!
Answer:
If I'm not wrong, angle O should be 62°!
Step-by-step explanation:
since triangle MON and triangle DAY are equal, if we add 75° and 43° it would be 118°. We then subtract 118° from 180° and it should be 62°. :)
Answer:
43
Step-by-step explanation:
measure angle M = measure angle D = 75
measure angle O = measure angle A = 43
measure angle N = measure angle Y = 180 - (43 + 75) = 62
and each angle of MON corresponds to that of DAY
Willing to give brainliest on the first one to answer!! And, 30 points! (NO LINKS)
This is pretty easy, but oh well.
(05.07) The net of a pyramid is shown below:
The surface area of the solid is ____ square inches |
v
Answer:
14in. :|
Step-by-step explanation:
please help me out will give brainliest
Answer:
I think it would be 10 inches but I am not sure
What is the solution to this equation?
Answer:
4/9
Step-by-step explanation:
What is the range of f?
A. -3<_f(x)<_7
B. The f(x)-values -3,3,6, and 7
C. -6<_f(x)<_6
D. The f(x)-values -6,-4,-3, and 6
The range of f is C.
What is range?
Range is the difference between the highest and lowest values in a set of data. It is a measure of variability, providing an indication of how widely values in the data set are dispersed from one another. In statistics, range is an important tool that helps to describe and summarize data. Range is also used to measure the dispersion of data within a data set, including the degree of spread or variability in the data.
-6<_f(x)<_6. This means that the f(x)-values range from -6 to 6, including -4 and -3. The range of f does not include -3, 3, 6, and 7, which are not within the range of -6 to 6.
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8
In the expression (3) (0.2)³(0.8)5, which value
represents the number of successes?
0.8
C. 0.8 D. (0.8)5
A. 8/3 B. 0.2 C.
Answer: In the expression (3)(0.2)³(0.8)5, the value that represents the number of successes is 0.8.
This value is associated with the probability of success in the given expression, usually represented as "p" in a binomial distribution.
0.8 is probability of success
(0.8)5 represents number of successes.
It is important to note that 0.8 is a probability of success which means the probability of getting a success outcome in a single trial, and (0.8)5 is the probability of getting five successful outcomes in five trials.
Step-by-step explanation:
Pierre, the mountain climbing ant, moves along the x-axis so that at
time t its position is given by x(t) = 2cos(π/2 t^2).
For values of t in the interval [-1,1]
(a)Find an expression for the velocity of the ant at any given time t.
(b) Find an expression for the acceleration at any given time t.
(c)Determine the values of t for which the ant is moving to the right.
Justify your answer.
(d) Determine the values of t for which the ant changes direction.
Justify your answers
The velocity of an ant moving along the x-axis whose position is given by x(t) = 2cos(π/2 t^2) is v(t) = -πtsin(π/2 t^2) and acceleration is a(t) = -π²t²cos(π/2 t^2) - πtsin(π/2 t^2). The ant moves in right direction in the time interval [-1, 0) and changes direction at t = 0.
(a) To find the velocity of the ant at any given time t, we need to take the derivative of the position function x(t) with respect to t. The derivative of x(t) = 2cos(π/2 t^2) is:
v(t) = -πtsin(π/2 t^2)
So the velocity of the ant at time t is given by -2πsin(π/2 t^2)
(b) To find the acceleration at any given time t, we need to take the derivative of the velocity function v(t) with respect to t. The derivative of v(t) = -πtsin(π/2 t^2) is:
a(t) = -π²t²cos(π/2 t^2) - πtsin(π/2 t^2)
So the acceleration of the ant at time t is given by -π²t²cos(π/2 t^2) - πtsin(π/2 t^2).
(c) To determine the values of t for which the ant is moving to the right, we need to look at the sign of the velocity function v(t) = -πtsin(π/2 t^2). Since the sine function oscillates between -1 and 1, this function will be positive when sin(π/2 t^2) is negative, and negative when sin(π/2 t^2) is positive. Moving rights means positive value of x.
Therefore, the ant is moving to the right when sin(π/2 t^2) < 0. That is
(π/2)t^2 < sin⁻¹(0)
sin⁻¹(0) = nπ, where n = ..., -2, -1, 0, 1, 2, ...
t is in interval [-1, 1] so π/2t^2 is in interval [0, π/2]
sin⁻¹(0) = 0
(π/2)t^2 < 0
Therefore t < 0
That is possible values of t is [-1, 0)
(d) To determine the values of t for which the ant changes direction, we need to look at the sign of the acceleration function a(t) = -π²t²cos(π/2 t^2) - πtsin(π/2 t^2).
When ant change direction a(t) = 0.
-π²t²cos(π/2 t^2) - πtsin(π/2 t^2) = 0
πtcos(π/2 t^2) + sin(π/2 t^2) = 0
sin(π/2 t^2) = -πtcos(π/2 t^2)
tan(π/2 t^2) = -πt
On solving possible values of t in the interval [-1, 1] is 0.
So, the ant changes direction when t = 0.
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Describe and explain the possible values of s, the number of student tickets sold, and e, the number of tickets sold to nonstudents.
Answer:
(20,0) , (0,16) , (5,12) , (10,8) , (15,4)
Step-by-step explanation:
Total amount of tickets sold = 80
Per ticket price for students = 4 ; Per ticket price for non students = 5
Let no. of students be s , no. of non students be x
Equation : 4s + 5x = 80
So, Maximum number of student tickets sold (assuming all student, no 'non student' tickets) = 80 / 4 = 20
Maximum number of non student tickets sold (assuming all 'non student', no 'student' tickets) = 80 / 5 = 16
Other possible values {s,x} , as per equation = (5,12) , (10,8) , (15,4)
tara is trying to solve the following equation 4.5x-4=14
Answer:
[tex]4.5x - 4 = 14 \\ 4.5x = 14 + 4 \\ 4.5x = 18 \\ x = \frac{18}{4.5} \\ x = 4[/tex]
Answer: x=4
Step-by-step explanation: 4.5x-4=14
4.5x−4+4=14+4
4.5x/4.5=18/4.5
x=4
For questions 3-4, use the following information.
Ten students were surveyed about whether they wanted to take guitar lessons. The table below shows the results of the survey.
Number of Students Guitar Lessons No Guitar Lessons
Number of Boys 76 12
Number of Girls 42 37
3. Find the percentage of boys who wanted guitar lessons. ________________________
4. Find the total percentage of students who wanted lessons. ______________________
A lost tourist arrives at a point with 2 roads A and B. Road A leads to the city and takes either 4 or 8 hours, depending on traffic, with equal probability. Road B brings him to the city after 7 hours on average. Since there are no signs on the road, the tourist chooses a road with equal probability; what is the expected time until the tourist arrives to the city
The expected time until the tourist arrives in the city is 4.75 hours.
The expected time until the tourist arrives at the city can be calculated by using the formula for the expected value:
Expected value = (probability of outcome 1) x (value of outcome 1) + (probability of outcome 2) x (value of outcome 2) + ...
In this case, there are two possible outcomes: the tourist takes road A or road B.
If the tourist takes road A, the expected time until he arrives in the city is the average of the two possible travel times (4 hours and 8 hours). The probability of this outcome is 0.5 (the tourist has an equal chance of choosing either road). So, the expected value for this outcome is (0.5) x (4 + 8)/2 = 6 hours.
If the tourist takes road B, the expected time until he arrives in the city is 7 hours. The probability of this outcome is also 0.5. So, the expected value for this outcome is (0.5) x 7 = 3.5 hours.
To find the overall expected time until the tourist arrives in the city, we add up the expected values for each outcome:
Expected time = (0.5) x 6 + (0.5) x 3.5 = 4.75 hours
So the expected time until the tourist arrives in the city is 4.75 hours.
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