The greatest number of identical bracelets that can be made using all the beads is 4. This is found by determining the greatest common divisor (GCD) of 16, 20, and 24, which is 4. Each bracelet will consist of 4 yellow beads, 5 red beads, and 6 orange beads.
Explanation:The subject of this question is the mathematical concept of the greatest common divisor (GCD). In the given problem, you are tasked with finding the maximum number of identical bracelets you can make with a given number of beads. The concept of GCD is used here.
First, we need to determine the GCD of the quantities of the three different colored beads:
16 Yellow beads 20 Red beads 24 Orange beads
The GCD of 16, 20, and 24 is 4. This means the largest number of identical bracelets you can make, using all of the beads, is 4. Each bracelet will have 4 yellow beads, 5 red beads, and 6 orange beads.
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I have a rug has a length that is 2 times the width the area of the rug is 8 square feet What is the length and width of the rug
how many times that a one-to-one function crosses the horizontal line?
We want to see how many times a one-to-one function crosses the x-axis (this is equivalent to see how many values of x are mapped into y = 0).
We will see that it crosses the x-axis only one time.
A function is a relation that maps elements from one set, the domain, into elements from another set, the range. Such that each element in the domain can be mapped into only one element in the range.
Now we add the restriction that the function is one-to-one, this means that no two elements from the domain can be mapped into the same element from the range.
With this is easy to see that the one-to-one function crosses the horizontal line only once, as the value y = 0 can be assigned to only one value in the domain.
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graph of the quadratic function f(x)=‒(x+4)(x‒6) is shown on the coordinate grid below.
Which statement is not true?
A.
The maximum of this function occurs when y=25.
B.
The function increases in the interval 1 to 6.
C.
The has a zero at (‒4,0).
D.
The function positive in the interval ‒4 to 6.
Answer:
Option B is not true.
Step-by-step explanation:
The quadratic function is f(x) = -(x + 4)(x - 6)
Now we check each option given
Option A.
It is clear from the graph function is maximum at y = 25.
TRUE.
Option B.
Function increases in the interval 1 to 6.
Let's check this at x = 2 and x = 3
f(2) = -(2 + 4)(2 - 6)
= -(6)(-4)
= 24
f(3) = -(3 + 4)(3 - 6)
= - (7)(-3)
= 21
So we find this function is decreasing in this interval.
So the given option is FALSE.
Option C.
The function has a zero at (-4, 0)
f(-4) = -(-4 + 4)(-4 + 6) = 0
So the function has a zero at (-4, 0).
Option is True.
Option D.
The function is positive in the interval -4 to 6
f(x) = -(x + 4)(x - 6)
f(-3) = -(-3 + 4)(-3 - 6)
= -(1)(-9)
= 9
f(0) = -(0 + 4)( 0 - 6)
= 24
Therefore, this function is positive in this interval so the option is TRUE.
Option B is not true.
The time at which the mailman delivers the mail to ace bike shop follows a normal distribution with mean 2:00 pm and standard deviation of 15 minutes.
There are three questions related to this problem.
First, the probability of the mail will arrive after 2:30 PM
Find the z-score of 2:30 which is 30 minutes after 2:00.
z(2:30) = (2:30 – 2:00)/15 = -30/15 = -2
P(x < 2:30) = P(z<-2) = 0.0228
Second, the probability of the mail will arrive at 1:36 PM
Find the z-score of 1:36 which is 24 minutes before 2:00.
z(1:36) = (1:36 – 2:00)/15 = -24/15 = -1.6
P(x < 1:36) = P(z<-1.6) = 0.0548
Lastly, the probability of the mail will arrive between 1:48 PM and 2:09 PM
Find the z-score of 1:46 and 2:09 PM which will result to a z value of 0.034599
P(1:48 < x < 2:09) = P(z<0.034599) = 0.5138
Find the vertices and foci of the hyperbola with equation (x+1)^2/16-(y+5)^2/9=1
Answer:
B on edge
Step-by-step explanation:
On the pic explanation is right on.
△RST is mapped to △R′S′T′ using the rule (x, y)→(x, −y) followed by (x, y)→(3x, 3y) .
Which statement correctly describes the relationship between △RST and △R′S′T′ ?
△RST is congruent to △R′S′T′ because the rules represent a reflection followed by a rotation, which is a sequence of rigid motions.
△RST is congruent to △R′S′T′ because the rules represent a reflection followed by a translation, which is a sequence of rigid motions.
△RST is congruent to △R′S′T′ because the rules represent a rotation followed by a translation, which is a sequence of rigid motions.
△RST is not congruent to △R′S′T′ because the rules do not represent a sequence of rigid motions.
By the way, this question DOES NOT include a picture, so don't ask please.
Answer:
△RST is not congruent to △R′S′T′ because the rules do not represent a sequence of rigid motions.
Step-by-step explanation:
chris has a bag of sweets. there are more than 20 sweets in the bag he shares his sweets equally between six people chris says, "the number of sweets in the packet was prime." is he correct? circle: yes or no, explain your answer below.
The volume of a rectangular box can be found using the formula lwh where l represents the length, w represents the width, and h represents the height of the box. What is the volume of a box with the following dimensions?
l = 4 centimeters
w = 5 centimeters
h = 6 centimeters
120 cm 3
456 cm 3
15 cm 3
34 cm 3
multiply the 3 dimensions together
4*5 = 20 *6 = 120 cm^3
mr chu is slicing 4 cantaloupes for his class . There are 24 students in the class. If he cuts the cantal to make an equal portion for each student how much of a whole cantal will each student get
What is the slope of the line passing through the points (−1, 7) and (4, −1)?
2nd picture is the choices I have.
Is the expression 3x+2x−4 in simplest form
3x+2x-4 is not in simplest form.
What is Expression?An Expression is Combination of variables, numbers and operators.
The given expression is three x plus two x minus 4
i.e 3x+2x-4
It is not in simplest form because we have to add like terms.
In the above expression we have two terms of same variable.
We have to add 3x and 2x which gives 5x.
So 5x-4 is the simplest form.
Hence 3x+2x-4 is not in simplest form.
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A television game has 6 shows doors, of which the contests must pick 2. behind two of the doors are expensive cars, and behind the other 4 doors are consolation prizes. Find the probability that the contestant wins exactly 1 car? no car? or atleast one car?
Answer:
In this question, there are 4 consolation door and 2 car doors of total 6 doors. That means for the first door the chance to get consolation is 4/6 and car is 2/6. In second door, only 5 remains so the chance to get consolation is either 4/5 (if 1st door car) or 3/5(if 1st door consolation)
Win 1 car condition:
1. 1st door car, 2nd door consolation = 2/6 * 4/5 =8/30
2. 1st door consolation, 2nd door car= 4/6 * 2/5 = 8/30
8/30+8/30= 16/30
No car condition
1. 1st door consolation, 2nd door consolation= 4/6 * 3/5= 12/30
At least one car condition
1. 1st door car, 2nd door car = 2/6 * 1/5 =2/30
2. 1st door car, 2nd door consolation = 2/6 * 4/5 =8/30
3. 1st door consolation, 2nd door car= 4/6 * 2/5 = 8/30
2/30 + 8/30 + 8/30= 18/30
-4x<-12 choose the correct soultion
-4x < -12
divide both sides by -4
x > -12/-4
x > 3
note: when multiplying or dividing a negative inequality you flip the direction of it
9+(6-6)x4-(-7-(-2)) solved in order of operations
The solution of the given expression will be 14.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
Given expression as; 9+(6-6)x4-(-7-(-2))
We have to solved in order of operations
1. (6-6)=0
2. (-7+2)=-5
3. Now, substitute the values in the expression;
9 + 0×4 + 5 = 14
Therefore, the solution of the given expression will be 14.
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sally has scores of 88, 92, 80, and 96. find the score she must make on the next exam to have an average of 90
Use the diagram to find the value of x?
147 32 33 150
On average, a sample of n = 16 scores from a population with s = 10 will provide a better estimate of the population mean than you would get with a sample of n = 16 scores from a population with s = 5.
a. True
b. False
Your Bank account balance was $235 and 24. After two checks were cashed (each for the same amount) your balance is now -45.58. What was the amount of each of those checks?
235.24 + 45.58 = 280.82
280.82/2 = 140.41
each check was for $140.41
During a 4-month-long drought, the water level in a lake changed by
−3 1/2 feet. The water level changed at the same rate each month.
What is amount the water level changed in 1 month?
Answer:
-7/8
Step-by-step explanation:
i did the 3.15 Unit Test
what is the solution?
A container holds 6 gallon of juice how many in pints
What are the coordinates of the point?
A:(4, −2)
B:(2, 4)
C:(−4, −2)
D:(−2, 4)
A coordinate grid with a dot placed in the second quadrant. The dot is to the left of positive 4 on the y axis and above negative 2 on the x axis
Brandon bought a gallon of paint that covers 160 square feet. He wants to paint a wall that is 10 ft. high and 12 ft. wide. Explain whether he will need more than one gallon of paint. A. No, he won't need more paint. Brandon has enough paint to cover the 22-square-foot wall. B. Yes, he will need more paint. Brandon needs another gallon to cover the 240-square-foot wall. C. No, he won't need more paint. Brandon has enough paint to cover the 120-square-foot wall. D. Yes, he will need more paint. Brandon needs enough paint to cover the 1,200-square-foot wall.
Redo of telephone math ..
Solve for x.
2/5≤x−4
A 180 day $3 million negotiable cd has a 4.25% annual rate quote. if you buy the cd, how much will you collect in 180 days?
An 8 foot length of 4 inch wide crown molding costs $16. How much will it cost to buy 40 feet of crown molding?
If 1/3 of a sum of money is $21, what is the sum of money?
If a refrigerator is a heat pump that follows the first law of thermodynamics, how much heat was removed from food inside of the refrigerator if it released 492J of energy to the room? Joules
3/4 x 3 2/3 in simplest form