Answer: 253
Step-by-step explanation:
First, we have two numbers A and B.
We know that all numbers can be written as a product of prime numbers.
And the HCF of A and B is 23
Then we can write:
A = 23*a
B = 23*b
(remember that 23 is a prime number)
Where a and b are larger than 1.
Now we know that the least common multiple between them is 644.
Notice that the primes that conform a can not be the same as the ones for b, because in that case, the HCF would not be 23.
Now to find a and b we can compute:
644/23 = 28.
28 = a*b
Now let's write 28 as a product of prime numbers:
a*b = 28 = 4*7 = 2*2*7
Then we can define:
a = 2*2
b = 7.
Our two numbers are:
A = 23*2*2 = 92
B = 23*7 = 161
A + B = 92 + 161 = 253
The sum of the two numbers would be:
253
Assume the two numbers be [tex]x[/tex] and [tex]y[/tex]
Given that,
HCF of [tex]x[/tex] and [tex]y[/tex] = 23
so,
The numbers could be written as:
23[tex]x[/tex] and 23[tex]y[/tex]
We know that,
LCM of 23[tex]x[/tex] and 23[tex]y[/tex] = 644
We also know that,
LCM × HCF = The product of two numbers
∵ 644 × 23 = 23[tex]x[/tex] × 23[tex]y[/tex]
So, by solving them we get;
14812/529 = [tex]x[/tex] × [tex]y[/tex]
∵ [tex]x[/tex] × [tex]y[/tex] = 28
If we prime factorize 28, we get
28 = 2 × 2 × 7
This gives us,
[tex]x =[/tex]23 × 2 × 2 = 92
[tex]y =[/tex] 23 × 7 = 161
Thus, the sum of the two numbers = 92 + 161 = 253
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PLEASE PLEASE HELP FAST!!! I WILL GIVE YOU BRAINLIEST!
Solve.
2x + 4 3
B) x 1/3
D) x < 1/3
Answer: 2x + 43 is already solved and so is x 1/3 and x < 1/3
Step-by-step explanation:
Answer:
i think its c
Step-by-step explanation:
What is the image of figure B after a -90° rotation about the origin?
A B
B. X
C. Y
D. Z
Answer:
D. Z
Step-by-step explanation: Just took the practice test
If m angle p is three less than twice the measure of angle q and angle p and angle q are supplementary angles. Find each angle measure
Answer:
m<P= 119
m<Q= 61
Step-by-step explanation:
A diver descends at a steady rate of 2.54 meters every hour. Yesterday, he dove to a depth of 18 meters. Which expression can you use to find how many hours he dove?
Answer:The answer is C OR –18 ÷ –2.54
Step-by-step explanation:
i got the question right
Unit Post Test
Suomi Test
Reader TOOLS
2
-6
- 2
-2
4
6
The function g> is a transformation of AX). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)?
OA. 80%) = 1x) - 2
B. gx) = Rx+ 2)
OC. 8) = px - 5)
OD. 81%) = Rx) - 5
Reset
Next
Answer:
r
Step-by-step explanation:
What are the values of x, y, and z in this system of equations?
2x+4y+z=1
x-2y-3z=2
x+y-z=-1
Answer:
{x,y,z}={5,−3,3}
Step-by-step explanation:
[1] 2x + 4y + z = 1
[2] x - 2y - 3z = 2
[3] x + y - z = -1
// Solve equation [3] for the variable y
[3] y = -x + z - 1
// Plug this in for variable y in equation [1]
[1] 2x + 4•(-x +z -1) + z = 1
[1] -2x + 5z = 5
// Plug this in for variable y in equation [2]
[2] x - 2•(-x +z -1) - 3z = 2
[2] 3x - 5z = 0
// Solve equation [2] for the variable x
[2] 3x = 5z
[2] x = 5z/3
// Plug this in for variable x in equation [1]
[1] -2•(5z/3) + 5z = 5
[1] 5z/3 = 5
[1] 5z = 15
// Solve equation [1] for the variable z
[1] 5z = 15
[1] z = 3
// By now we know this much :
x = 5z/3
y = -x+z-1
z = 3
// Use the z value to solve for x
x = (5/3)(3) = 5
// Use the x and z values to solve for y
y = -(5)+(3)-1 = -3
Solution :
{x,y,z} = {5,-3,3}
Bonnie bought a 13-pound turkey for $11.05. How much money di she pay for each pound of turkey?
Answer:way too much because chicken like turkey
Step-by-step explanation:turky is juste sleepyi chimken
4 Mr Franklin paid 145.76 for 0 gallons or
gas What is the price of 1 gallon of gas?
A $5.00
$5 16
B 06 07
D$5.05
Answer:
That doesn't make sense
Step-by-step explanation:
2x + 7 = 5x - 8 (x - 4)
Answer:
x=5
Step-by-step explanation:
2x + 7 = 5x - 8 (x - 4)
Distribute
2x+7 = 5x - 8x +32
Combine like terms
2x+7 = -3x+32
Add 3x to each side
2x+7+3x = -3x+32+3x
5x+7 = 32
Subtract 7 from each side
5x+7-7 = 32-7
5x = 25
Divide by 5
5x/5 = 25/5
x=5
Which statements correctly describe the graph of the function f(x) = x3 – 4x2 – 3x + 18? Select three options. There are three unique solutions to the function when y=0. The function has a double root. As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again. As x approaches negative infinity, y approaches positive infinity. The domain and range of the function are the set of real numbers.
Answer:
The function is:
f(x) = x^3 - 4*x^2 - 3*x + 18.
Below, you can see the graph of the function.
The statements that are true are:
As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.
You can see this in the graph and may be really hard to see it without the graph, the easier way would be to see the derivate of f(x) and see that is first positive, then negative, and then positive.
f'(x) = 3*x^2 - 8*x - 3
As the leading coefficient is positive, the arms oppen up, and f'(0) = -3
Then is easy to see that from left to right, is positive, then negative, and then positive again.
The domain and range of the function are the set of real numbers.
For the domain, we do not have any denominator nor weird function that has problems in a particular value, so the domain is the set of all real numbers.
And as you can see, as the leading coefficient is an odd power of x, the range will go from minus infinity to infinity (you can also see it in the graph).
The function has a double root.
Yes, in the graph you can see two roots, but this is a 3rd-degree polynomial, so it must have 3 roots, this means that one of the roots in the graph is a double root. (Where the double root is at x = 3, as you can see in the graph)
Answer:
B), C), and E)
Step-by-step explanation:
Edge 2021
Which is a better deal?
4 bags of chins for $1.00 or 6 bags of chips for $1.20?
Answer:
6 bags of chips for 1.20
An example of multistage samples
Answer:
Multistage sampling divides large populations into stages to make the sampling process more practical.
Step-by-step explanation:
Let’s say you wanted to find out which subjects U.S. school children preferred. A population list a list of all U.S. school children would be nearimpossible to come by, so you cannot take a sample of the population.
An example of multistage samples is the Gallup poll.
What is the multistage sample?In this, we have to drawn the sample that should arise from the population that used the smaller and smaller group at every stage. It is applied for collecting the data from the large, and the group of people in national surveys.
The Gallup poll used multistage sampling. Like it randomly select a particular no of area codes after this randomly sample a no of phone numbers from within each area code.
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how to convert meters to centimeters
2m =cm
Answer:
Multiply by 100
2m=200 cm
Step-by-step explanation:
How do you do this question?
Answer:
7
Step-by-step explanation:
1 / ((n + 1) + 2)³ ≤ 0.001
1 / (n + 3)³ ≤ 0.001
(n + 3)³ ≥ 1000
n + 3 ≥ 10
n ≥ 7
A work shift for an employee at a restaurant consists of 12 hours what fraction of the employees work shift is represented by 8 hours
Answer
b
Step-by-step explanation:
Erica babysits for 4 ½ hours and is paid $27. How much does she make for 8 hours?
Answer: $216
Step-by-step explanation:
Hope it helped
Write the polynomial in terms of its linear factors.
P(x) 2x^4 - 4x^3 - 16x^2
9514 1404 393
Answer:
P(x) = (2x)(x)(x-4)(x+2)
Step-by-step explanation:
Once the common factor of 2x^2 is factored out, you have ...
P(x) = 2x^2(x^2 -2x -8)
To factor the quadratic, you look for factors of -8 that have a sum of -2.
-8 = (1)(-8) = 2(-4)
These last factors have that sum, so we can write P(x) as ...
P(x) = (2x)(x)(x +2)(x -4)
A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles.
Answer:
84
Step-by-step explanation:
none
The number of blue marbles are 126 and the number of red marbles are 24.
Given that, a bag contains 150 marbles.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
There are 21 blue marbles for every 4 white marbles.
Here, the ratio of blue marbles to red marbles is 21:4
The number of blue marbles = 21x and the number of red marbles =4x
So, 21x+4x=150
⇒ 25x=150
⇒ x=150/25
⇒ x=6
Then blue marbles=21x=126 and red marbles = 4x =24
Therefore, the number of blue marbles are 126 and the number of red marbles are 24.
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"Your question is incomplete, probably the complete question/missing part is:"
A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many blue marbles are in the bag?
Part D
If Tristan attaches a 4-kilogram weight to the spring, how far will it stretch?
Answer:
x = 4 into the equation y = 3x, or locate the answer on the graph: y = 3x = 3(4) = 12.
The spring stretches 12 inches with a 4-kilogram weight attached to it.
Step-by-step explanation: so its 12
Substitute x = 4 into the equation y = 3x, or locate the answer on the graph: y = 3x = 3(4) = 12.
The spring stretches 12 inches with a 4-kilogram weight attached to it.
On Friday, the temperature changes -3celsius each hour. If the temperature changed for 7 hours, what is the total temperature change?
Answer:
-21 degrees
Step-by-step explanation:
What is -2/5 times 5/9?
Answer:
[tex]-\frac{2}{9}[/tex]
The height of the Seattle Space Needle, including the spire, is 184 meters. The height of the building without the spire is 158 meters. What is the height, in meters, of the spire?
Answer:
26
Step-by-step explanation:
184-158=26
Please help!!!!!!!!!!!!!
Answer:
37, 3, 37
Step-by-step explanation:
Which equation represents a linear function?
Answer:
Y=2x-6
Step-by-step explanation:
Linear equation in two variables represents a line.
Simon has more money than Kande. if Simon gave Kande K20, they would have the same amount. While if Kande gave Simon $22, Simon would then have twice as much as Kande. How much does each one actually have?
Given parameters;
Let us solve this problem step by step;
Let us represent Simon's money by S
Kande's money by K
Simon has more money than KandeS > K
if Simon gave Kande K20, they would have the same amount;
if Simon gives $20, his money will be S - 20 lesser;
When Kande receives $20, his money will increase to K + 20
S - 20 = K + 20 ------ (i)
While if Kande gave Simon $22, Simon would then have twice as much as Kande;if Kande gave Simon $22, his money will be K - 22
Simon's money, S + 22;
S + 22 = 2(K - 22) ------ (ii)
Now we have set up two equations, let us solve;
S - 20 = K + 20 ---- i
S + 22 = 2(K - 22) ; S + 22 = 2K - 44 ---- ii
So, S - 20 = K + 20
S + 22 = 2K - 44
subtract both equations;
-20 - 22 = (k -2k) + 64
-42 = -k + 64
k = 106
Using equation i, let us find S;
S - 20 = K + 20
S - 20 = 106 + 20
S = 106 + 20 + 20 = 146
Therefore, Kande has $106 and Simon has $146
14. Mr. Feo is paid biweekly. His annual salary is $74,153. What is his biweekly salary, rounded to the
I
nearest cent?
Answer:
1426.00
Step-by-step explanation:
The Quik-Clean Car Wash charges $15 for a car wash plus $2.50 per gallon for unleaded gasoline. The Mighty Clean Car Wash charges $10 for a carwash plus $2.75 per for unleaded gasoline. Josh is comparing the cost of having his car wash plus filling up his tank with gas at each business. How many gallons of gas would he need to purchase for the cost to be the same at each car wash?
Answer:
The indifference point is 20 gallons.
Step-by-step explanation:
Giving the following information:
Quik-Clean Car Wash:
$15 for a car wash plus $2.50 per gallon for unleaded gasoline.
Mighty Clean Car Wash:
$10 for a carwash plus $2.75 per for unleaded gasoline.
First, we need to structure the total cost formula:
Quik-Clean= 15 + 2.5x
Mighty Clean= 10 + 2.75x
x= gallon of gasoline
Now, we equal both formulas and isolate x:
15 + 2.5x = 10 + 2.75x
5 = 0.25x
20 = x
The indifference point is 20 gallons.
Prove:
Quik-Clean= 15 + 2.5*20= $65
Mighty Clean= 10 + 2.75*20= $65
mina put 1205 pokemon cards into a notebook with 15 cards per page. how many sheets can she fill? how many cards left over
Answer:
she filled 80 pages with 5 left over
Step-by-step explanation:
10) Two airplanes leave Columbus at the same time and fly in opposite directions. One plane travels 70 miles
per hour faster than the other plane. After 4 hours they are 3800 miles apart. What is the rate of each plane?
Complete the table, and then write an equation to solve.
Hint: Distance equals rate times time. (d = rt)
Rate Time Distance
Answer:
Is this from VLA in ohio? Which school do you go to?
It is generally claimed that the average body temperature for healthy human adults is 98.6°F. To test this claim a simple random sample of 9 adults are chosen. The average temperature of the 9 adults is only 98.1°F with a SD of 0.9°F. The question is whether the data on these 9 people is sufficient evidence to conclude that average body temperature among all healthy adults is really lower than 98.6°F. Assume the average body temperatures follow the normal curve.
1. Which significance test should be used?
a. z-test because the 50 of the population is known.
b. t-test because the SD of the population is known.
c. neither since it is untkely that temperatures would follow the nermal curve.
d. a t-test because the 50 of the sample is unknown.
e. a t-test because the SD of the pepulation is unknown.
Since the sample size is small and temperatures are lkely to be normaly distributed ether test may be used.
2. What is the null hypothesis?
A. That the average temperature in the population is 98.1 F.
B. That the average temperature in the pepulation is 98.6.
C. That the average temperature in the population is less than 98.6 F.
D. That the average temperature in the sample is 98.1.
3. What is the abernative hypothesis?
A. That the average temperature in the pepulation is 98.1 F.
B. That the average temperature in the population is 98.6F.
C. That the average temperature in the population is less than 98.6.
D. That the average temperabure in the sample is 98.17.
4. Compute SD.
5. Compute the best statistic.
6. How many degrees of freedom are there?
Answer:
Explained below.
Step-by-step explanation:
The information provided is as follows:
[tex]\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9[/tex]
(1)
A single mean test is to be performed in this case.
As the population standard deviation is not provided, a one-sample t-test will be used.
The correct option is b.
(2)
The null hypothesis is:
H₀: The average temperature in the population is 98.6°F, i.e. μ = 98.6°F.
The correct option is b.
(3)
The alternative hypothesis is:
Hₐ: The average temperature in the population is less than 98.6°F, i.e. μ < 98.6°F.
The correct option is c.
(4)
The standard deviation of the sample mean is as follows:
[tex]SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F[/tex]
Thus, the value of SD is 0.3°F.
(5)
Compute the value of test statistic as follows:
[tex]t=\frac{\bar x-\mu}{SD_{\bar x}}[/tex]
[tex]=\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67[/tex]
Thus, the value of test statistic is -1.67.
(6)
The degrees of freedom of the test are:
df = n - 1
= 9 - 1
= 8
Thus, the degrees of freedom of the test is 8.
Testing the hypothesis, it is found that:
1. e. a t-test because the SD of the population is unknown.
2. B. That the average temperature in the population is 98.6.
3. C. That the average temperature in the population is less than 98.6.
4. The standard error is of 0.3.
5. The test statistic is t = -1.67
6. There are 8 df.
We have the standard deviation for the sample, hence, a t-test should be used.
At the null hypothesis, it is tested that the average body temperature among all healthy adults is of 98.6ºF, hence the answer to question 2 is b.
At the alternative hypothesis, it is tested if the average is lower, hence, the answer to question 3 is C.
In this problem:
The standard deviation of the sample is [tex]s = 0.9[/tex]The sample has 9 adults, hence [tex]n = 9[/tex]The sample mean is of [tex]\overline{x} = 98.1[/tex]The standard error is of:
[tex]s_e = \frac{0.9}{\sqrt{9}} = 0.3[/tex]
The test statistic is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 98.6[/tex] is the value tested at the null hypothesis, hence:
[tex]t = \frac{98.1 - 98.6}{0.3}[/tex]
[tex]t = -1.67[/tex]
The amount of degrees of freedom is one less than the sample size, hence there are 8 df.
A similar problem is given at https://brainly.com/question/13873630