Find the HCF of the following numbers using continued division
method:
a. 255,238
b. 1155,462
c. 47,61
d. 115,138
e. 18,45 and 72
Answers
Answer:
a. 17
b. 231
c. 1
d. 23
e. 9
Related Questions
Simplify a - b - [C- (d - e) - f] - g).
O a-b+C - d+e+f-g
O a - b + C-d + e-f+g
O a + b + C-d + e-f+g
O a+b+c+d+e-f+g
Answers
Answer:
a-b-C+d-e+f-g
Step-by-step explanation:
Steps
$a-b-\left(C-\left(d-e\right)-f\right)-g$
Show Steps
$-\left(d-e\right):\quad-d+e$
$=a-b-\left(C+e-d-f\right)-g$
Show Steps
$-\left(C-d+e-f\right):\quad-C+d-e+f$
$=a-b-C+d-e+f-g$
Solving these Quadratics for x using factoring 2x^2+5x = 3
Answers
Answer:
x = 1/2 ; x = -3
Step-by-step explanation:
To solve this problem, we first need the quadratic to be set equal to x. Then, we can use factoring to solve for the values of x.
2x^2 + 5x = 3
2x^2 + 5x + -3 = 3 + -3
2x^2 + 5x + -3 = 0
Note that the first term's coefficient is 2. This factors into 1 and 2.
Note that the third term's coefficient is -3. This factors into 3 and -1.
From here, we will simply create the binomial factors for the quadratic.
(2x - 1) (x + 3) = 0
2x - 1 = 0 ; x + 3 = 0
2x - 1 + 1 = 0 + 1 ; x + 3 + -3 = 0 + -3
2x = 1 ; x = -3
2x * 1/2 = 1 * 1/2 ; x = -3
x = 1/2 ; x = -3
So our solutions for this quadratic equation are x = 1/2 or x = -3.
Cheers.
Solution:
2x²+5x=3
Using Factorisation method,
2x²+5x-3=0
2x²+6x-x-3=0
2x(x+3)-1(x+3)=0
(2x-1)(x+3)=0
2x-1=0 and x+3=0
x=1/2 and x=-3
Which of the following is the definition of the Distributive Property?
O A. For all real numbers a, b, and c, if a = b, then a+c=b+C.
O B. For all real numbers a, b, and c with c# 0, if a = b, then ca = cb.
O C. For all real numbers a, b, and c, a(b + c) = ab + ac.
a
OD. For all real numbers a, b, and c with c# 0, if a = b, then
-
C
nt
Answers
Answer:
Option C
Step-by-step explanation:
The distributive property states that:
[tex]a(b+c)=ab+ac[/tex]
You have to multiply 'b' and 'c' by 'a' to completely distribute.
Example using Distributive Property:
[tex]4(3+5)\\\\\rightarrow\text{Distribute: }4(3+5)=4(3)+4(5)\\\\4(3+5)=12+20\\\\4(3+5)=32[/tex]
Hope this helps.
Answer:
I'm pretty sure its C.
Step-by-step explanation:
cause a would be distributed into b and c. so
a(b+c)
ab +ac
which will then become ab+ac
im bad at explaining sorry
six people working for five days were paid a total of sh 6000.how many more money could the same number of be paid for 12 days???
Answers
6000/5 = 1200 for six people in one day.
Now to find 12 days, just times 1200 by 12:
1200*12 = 14400 for six people in 12 days.
Now to find the difference:
14400-6000 = 8400 is how much more money they could’ve made
Answer: 8400
Answer:
6000
Step-by-step explanation:
6 people paid for 5 days= 6000
1 person paid for 1 day= 6000/6
=1000
6 people paid for 12 days= 1000x 12
= 12000
12000- 6000= 6000
Use the Ratio Test to determine if the following series converges absolutely or diverges.
sigma^infinity_n = 1 (- 1)^n n^2 (n + 2)!/n!7^n
Since the limit resulting from the Ratio Test is_______, the series converges absolutely.
(Simplify your answer.)
Answers
Answer:
Since the limit resulting from the ratios test is = 1 / 729 which is < 1 the series converges absolutely
Step-by-step explanation:
Since the limit resulting from the ratios test is = 1 / 729 which is < 1 the series converges absolutely
ATTACHED BELOW IS THE DETAILED SOLUTION of the above answer
i think i did it but im not sure if it even did anythig just wait
Answers
Answer:
x minus y: when it says "minus", it means substracting, so x - y.
The product of two numbers: If we call one x and the other y, the product of them is the same as multiplying them, so xy.
The product of two numbers is six: If we call one x and the other y, the product of them is the same as multiplying them and we know the result of doing so is 6, so xy = 6
Six less than a number is y: So if we substract x to a number, the result is y, so 6 - x = y
x substracted by y: this means we substract x from y, which is the same than y minus x, so y - x
y divided by x: this means y is being divided by x, so y/x
The sum of two numbers is six: That means we sum x and y, and the result is 6, so x + y = 6
x divided by y: This means x is being divided by y, so x/y
The sum of x and y: this means both numbers are summing, so x + y
Six times a number equals y: This means 6 per a number (let it be x) is equal to y, so 6x = y
It takes Three hours for a highway worker to mow the grass on a stretch of highway. It takes 6 hours for a different highway worker to mow the grass on the same stretch of highway. How many hours will it take for the two highway workers to mow the grass together on this stretch of highway?
Answers
Answer:
Step-by-step explanation:
4.5
The required time that two highway workers to mow the grass together on this stretch of highway is 2 hours,
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Rate of doing for highway workers A = 1 / 3
Rate of doing for highway workers B = 1 / 6
Now total rate,
= 1 / 3 + 1 / 6
= 2 + 1 / 6
= 3 / 6
= 1 / 2
Now,
it takes for the two highway workers to mow the grass together on this stretch of highway,
Time = 1 / 1 / 2
Time = 1 * 2 / 1
Time = 2 hours,
Thus, the required time that two highway workers to mow the grass together on this stretch of highway is 2 hours,
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
6. Find the areas of the rectangles with the following side lengths.
a. 5 in and 1/3 in
c. 5/2 in and 4/3 in
b. 5 in and 4/3 in
c. 2/5 in and 4/3 in
d. 7/6 in and 6/7 in
I need an explanation on how you got the answer
Answers
How many models of 100 do you need to model 3600 Please answer this full question for me and fill in the blanks to the entire question thank you so much
Answers
Answer:
a=36, b=3, c=36, d=66
Step-by-step explanation:
a=3600/100=36
b=30*100/1000=3
c=30*100+(36*100)=66 hundreds
Translate each of the following English statements into logical expressions. The domain of discourse is the set of all real numbers.
(a) There are two numbers whose ratio is less than 1.
(b) The reciprocal of every positive number is also positive.
(c) There are two numbers whose sum is equal to their product.
(d) The ratio of every two positive numbers is also positive.
(e) The reciprocal of every positive number less than one is greater than one.
(f) There is no smallest number.
(g) Every number besides 0 has a multiplicative inverse.
(h) Every number besides 0 has a unique multiplicative inverse.
Answers
Answer:
A) З x,y : ( x/y < 1, y/x < 1 )
B) ∀ Y : ( Y > 0 = 1/Y > 0 )
C) з x,y : ( x+y = xy )
D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))
E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )
F) n ( ( з x ∀ y ( x <y ) )
G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))
H) ∀x ( (x≠0) = ( з! y (xy = 1))
Step-by-step explanation:
since the domain of discourse is a set of all real numbers the logical expressions of the English statements are expressed with respect to real number:
A) З x,y : ( x/y < 1, y/x < 1 )
B) ∀ Y : ( Y > 0 = 1/Y > 0 )
C) з x,y : ( x+y = xy )
D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))
E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )
F) n ( ( з x ∀ y ( x <y ) )
G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))
H) ∀x ( (x≠0) = ( з! y (xy = 1))
In translating English written expressions to logical expressions, we have to know the domain of the discourse. The domain of discourse can be said to be a set of all real numbers that the logical expressions of the English statements are expressed with respect to their real numbers. And as such, we arrive at each of this.
A) З x,y : ( x/y < 1, y/x < 1 )
B) ∀ Y : ( Y > 0 = 1/Y > 0 )
C) з x,y : ( x+y = xy )
D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))
E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )
F) n ( ( з x ∀ y ( x <y ) )
G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))
H) ∀x ( (x≠0) = ( з! y (xy = 1))
read more about logic here https://brainly.com/question/7581378
A library charges $0.25 a day for a late book plus
a $050 service charge. A book is 7 days late
How much money is owed?
Write a algebraic expression and evaluate
Answers
Answer:
y = 0.50 + 0.25x
y = 2.25
Step-by-step explanation:
[tex]y = 0.50 + 0.25x\\x = 7\\y = 0.50 + 0.25(7)\\y = 0.50 + 1.75\\y = 2.25[/tex]
where y is the money owed, and x is the number of days a book is late.
List the smallest three values in the set below. {x | x ∈ N and 20 < x}
Answers
Answer:
21, 22 and 23Step-by-step explanation:
Given the set A = {x | x ∈ N and 20 < x} , from the set it can be seen that the element of the set are natural numbers where 20< x.
If 20< x
reciprocating both sides will change the sense of the inequality
1/20>1/x
cross multiply
x > 20
This means that the values of x are values grater than 20.
The smallest three values will be the smallest three natural numbers greater than 20 and they are 21, 22 and 23. Note that natural numbers are whole numbers.
Define p ~ q by the equation p ~ q = p2q3– 3q. Then 2 ~ 3 = A) 108 B) 27 C) 99 D) 117 E) 89
Answers
Answer:
C
Step-by-step explanation:
We know that p = 2 and q = 3 so:
2 ~ 3
= 2² * 3³ - 3 * 3
= 4 * 27 - 9
= 108 - 9
= 99
Ohio's license plates have 4 letters followed by 3 numbers. If the same number CANNOT be repeated, how many license plates can be made?
Answers
Answer:
175,760, 000 plates
Step-by-step explanation:
There are 3 spots where there are 26 choices each
(=26^3)
and 4 spots where there are 10 choices each (the digits 0 through 9, =10^4). This gives:
26^3 x 10^4 = 175,760,000 plates
Hope this helps!
An area of 4 square yards is qual to 36 square feet. 10 square yards is equal to how many square feet
Answers
Answer:
90 square feetStep-by-step explanation:
square square
yards feet
4 36
10 x
[tex]x = \dfrac{36\cdot10}{4}=9\cdot10=90[/tex]
1) Create a box plot comparing the score of the boyd and girls as best you can
2) write a brief report of these results, write the shape, center, and spread.
Answers
Answer:
dk man
Step-by-step explanation:
7.) When rounding to the nearest 10, what is the largest number that will
round to 80?
2.) 84
b.) 85
c.) 79
d.) 86
Answers
9514 1404 393
Answer:
(a) 84
Step-by-step explanation:
The largest integer that will round to 80 is one that does not have 5 or more in the ones place: 84.
__
The largest decimal number of a particular precision is 84.99999... (some finite number of 9s). If there are an infinite number of 9s, the number can be shown to be equal to 85, which would round to 90.
Find the sum for 2349 and 2009
Answers
4,358
hope this helps
I have no clue how to do this equation please help me....[tex](-5)^5/(-5)^-6[/tex]
Answers
619
the answer is 619
Answer:
= -5¹¹
Step-by-step explanation:
[tex]\frac{-5^{5} }{-5^{-6} }[/tex]
= -5^(5+6)
= -5¹¹
A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years. We want to determine if the average age of all the students at the university is significantly more than 24. Assume the distribution of the population of ages is normal. The p-value is between
Answers
Answer:
The P-value is between 2.5% and 5% from the t-table.
Step-by-step explanation:
We are given that a random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years.
Let [tex]\mu[/tex] = true average age of all the students at the university.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \leq[/tex] 24 years {means that the average age of all the students at the university is less than or equal to 24}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 24 years {means that the average age of all the students at the university is significantly more than 24}
The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample average age = 25 years
s = sample standard deviation = 2 years
n = sample of students = 16
So, the test statistics = [tex]\frac{25-24}{\frac{2}{\sqrt{16} } }[/tex] ~ [tex]t_1_5[/tex]
= 2
The value of t-test statistics is 2.
Also, the P-value of test-statistics is given by;
P-value = P( [tex]t_1_5[/tex] > 2) = 0.034 {from the t-table}
The P-value is between 2.5% and 5% from the t-table.
A person makes an overseas phone call. The telephone company charges 65 cents for the first minute and then 75 cents for each minute thereafter. Because it's an overseas phone call, there is also a 55 cent service charge. If the phone call cost $ 19.20 , how many minutes did this person talk?
Answers
Answer:
25 minutes.
Step-by-step explanation:
A person makes an overseas call.
The telephone company charges 65 cents for the first minute.
Then 75 cents for each minute thereafter.
There is a 55 cent service charge.
1 dollar = 100 cents
65 cents = $0.65
75 cents = $0.75
55 cents = $0.55
For a phone call that cost $19.20 ;
Subtracting the service charge and the first minute charge from overall cost we get;
$19.20 - $0.55 - $0.65 = $18
For every additional minute there is a charge of $0.75
How many minutes make $18 ;
Cross multiplying this gives;
[tex]\frac{18}{0.75} * 1[/tex] = 24 minutes.
So the call lasted 24 minutes + 1 minute = 25 minutes.
Choose the appropriate symbol to indicate the relationship
between the numbers:
24___240
O A. 24 < 240
O B. 24 >240
O C. 24 = 240
Answers
Answer:
a
Step-by-step explanation:
The purchase price of an iPad is $650. What is the total price if the sales tax rate is 8% and there is a 15% off sale today?
Answers
Answer:
Original cost + tax = Total cost
650+0.08(650) =
650+52 = $702
Answer:
$599.72
Step-by-step explanation:
8% of 650 is $52 so you add that to $650 which comes up to $702, then you find 15% of the total price, which is $105.30 you subtract that from the total price and you come up with $599.72.
Solve for a: 3/5a = 1/4
Answers
Answer: [tex]a=5/12[/tex]
Multiply both sides by 5/3
[tex](5/3)*(3/5a)=(5/3)*(1/4)\\a=5/12[/tex]
Answer:
a=12/5=2.4
Step-by-step explanation:
We cross multiply first
3/5a=1/4
5a×1=4×3
5a=12
Divide both sides by 5
5a/5=12/5
a=12/5
a=2.4
I don’t have a clue on what to do need help
Answers
Answer:
5x+2.25v=c
Step-by-step explanation:
$5 member fee and 2.25per video add then mutiply
pleaseee anybody help me with this question it’s more than one answer
Answers
3 rd part is correct
Hope it helps :)
"When comparing the means of two independent samples, the population standard deviations will almost always be"
Answers
Answer: Check this answer!
Step-by-step explanation:
The comparison of two independent population means is very common and provides a way to test the hypothesis that the two groups differ from each other. Is the night shift less productive than the day shift, are the rates of return from fixed asset investments different from those from common stock investments, and so on? An observed difference between two sample means depends on both the means and the sample standard deviations. Very different means can occur by chance if there is great variation among the individual samples. The test statistic will have to account for this fact. The test comparing two independent population means with unknown and possibly unequal population standard deviations is called the Aspin-Welch t-test.
In simple terms, The population standard deviation is a parameter, which is a fixed value calculated from every individual in the population. A sample standard deviation is a statistic. This means that it is calculated from only some of the individuals in a population. Since the sample standard deviation depends upon the sample, it has greater variability. Thus the standard deviation of the sample is greater than that of the population
Because: reason:
Since the sample standard deviation depends upon the sample, it has greater variability. Thus the standard deviation of the sample is greater than that of the population.
HOPE IT HELPS YOU, IF IT HELPS PLEASE MARK THE BRAINLIEST BECOZ IT TOOK ME QUITE WHILE TO WRITE TO YOU...
25-(√16-1)·(3-9)² what is the answer?
Answers
Answer:
-155
Step-by-step explanation:
25-(√16-1)·(3-9)²
25 - (1 * 6 - 1)(3 - 9)^2
(1 * 6 -1)(3 - 9)^2 = 6^2 * 5
25 - 6^2 * 5
5 * 6^2 = 180
25 - 180
= -155
The answer to the given expression 25-(√16-1)·(3-9)² will be -83.
What is an expression?A mixture of variables,n umbers, addition, subtraction, multiplication, and division are called expressions.
A mathematical expression serves as proof that two mathematical expressions are equal.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given,
25-(√16-1)·(3-9)²
Since √16 = 4
⇒ 25-(4-1)·(3-9)²
⇒ 25 - 3(-6)²
⇒ 25 - 3 ×36
⇒ -83
Hence, the answer to the given expression 25-(√16-1)·(3-9)² will be -83.
To learn more about expression
https://brainly.com/question/14083225
#SPJ2
Evaluate the expression. Drag the answer into the box to match the expression. 27•((3^3)^-1) a. 27 b.3 c.1 D.1/9 100 POINTS help 100!
Answers
Answer:
[tex]\Huge \boxed{\mathrm{C. \ 1}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]27 \cdot ((3^3)^{-1})[/tex]
Multiplying exponents.
[tex]27 \cdot 3^{-3}[/tex]
Rewriting 27 with base 3.
[tex]3^3 \cdot 3^{-3}[/tex]
Adding exponents since bases are the same.
[tex]3^0 =1[/tex]
[tex]\rule[225]{225}{2}[/tex]
Answer:
C. 1
Step-by-step explanation:
27 * {(3³)⁻¹}
= 27
3³
= 27
27
= 1
The length of a new rectangular playing field is 4 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 488 yards, what are its dimensions?
Answers
Answer:
w = 48
w = 196
Step-by-step explanation:
Width = w
Length = l = 4 + 4w
Use the values for length and width above along with the given value for perimeter in the formula for perimeter.
P = 2l + 2w
488 = 2(4 + 4w) + 2w
488 = 8 + 8w + 2w
488 = 8 + 10w
488 - 8 = (8 + 10w) - 8
480 = 10w
(480)/10 = (10w)/10
48 = w
w = 48
The width is 48 yards. Use this value to solve for length.
l = 4 + 4w
l = 4 + 4(48)
l = 4 + 192
l = 196
The length is 196 yards.