If a, b and c are positive integers for which (a,b,c) is the only
ordered triple such that 6a +9b + 20c = 61, then what is
a+b+c?
If a, b, and c are all positive integers and 6a + 9b + 20c = 61, then right away you know c < 3, because if c = 3, then 20c = 60, and there are no solutions for a and b.
So consider two cases:
• If c = 2, then we're left with 6a + 9b = 21.
• If c = 1, then 6a + 9b = 41.
We have gcd(6, 9) = 3, but 41 is prime and 3 does not divide 41. So we throw out the second case.
This leaves us with 6a + 9b = 21. Notice that if a = b = 1, then 6a + 9b = 15. Add 6 to both sides to get 21. So a = 2, b = 1, and c = 2, and hence a + b + c = 5.
Eliza walked 1 1/2 miles in 2/3 of a hour. what is her walking rate in miles per hour?
Is this statement always true, sometimes true, or never true: Whole numbers are integers.
1. Always True
2. Sometimes True
3. Never True
Answer: Always true
Step-by-step explanation:
Whole numbers including 0 are always integers
Plz answer 1st RIGHT gets BRAINLY!!!!! PLUS 10 POINTS!!!!
Answer: I think the answer is B.) 570
Graph the line that passes through the points (-5,2) and (6,2) and determine the equation of the line.
Answer:
y = 2
Step-by-step explanation:
....................
Select the
Suppose Phil reads a book that contains 16 conspiracy theories. When he researches the
theories, he finds that 75% of them are false. How many of the theories are true?
Answer:
4 of the conspiracy theories were true
Step-by-step explanation:
Percentages
Phil read a book with 16 conspiracy theories, 75% of which were false. It means that 25% of them were true.
25% of 16 is 25 * 16 / 100 =400 / 100 = 4
Thus, 4 of the conspiracy theories were true
4y + 19 = x
3y - x= -13

Answer:
Do you need a step by step explaination on hiw to get the answer x= -13?
suppose 123 people voted for danny if 55 of the votes from girls to votes for boys explain
Answer:
Suppose 123 people voted for Danny. If 55 of the votes were from girls, what would be the ratio of votes from girls to votes from boys? If 55 were girls then there were 123-55 = 68 boys. Thus the ratio would be 55 girls to 68 boys, or 55/68.
Answer:
60
Step-by-step explanation:
The formula to put in E176 that will give me the sum of all the units sold by the indicated sales rep and product is:
Question attached
Answer :
There is no such formular
Explanation:
there is no such Formula I'm the options given. However the total product units sold by the sales representative for the period can be calculated in the excel sheet by adding up the cells with the units sold(cells F179,F180... to F186) and inserting the formula in the cell under total units sold by sales representative. So any change of figures in the cells added would reflect in the total units cell E176, if there is an additional figure for units sold in another cell, we could add this cell to formula in E176
Change the equation from standard form into vertex form by completing the square.
y equals x squared plus 14 x plus 53
you want new jeans and there is a sale this week where they are marked down 30%. what is your final cost if the original price is $50?
Answer: 15 dollars
Step-by-step explanation:
0.3 * 50
Does this table represent a function? Why or why not?
X
у
2.
1
3
4.
4
4
5
2
5
5
I need help ASAP. thank you in advance!
Answer:
True, depending on where f(x) is located
Step-by-step explanation:
Research shows that many banks are unwittingly training their online customers to take risks with their passwords and other sensitive account information, leaving them more vulnerable to fraud (Yahoo, July 23, 2008). Even web-savvy surfers could find themselves the victims of identity theft because they have been conditioned to ignore potential signs about whether the banking site they are visiting is real or a bogus site served up by hackers. Researchers at the University of Michigan found design flaws in 78% of the 214 U.S. financial institution websites they studied.
Required:
Is the sample evidence sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud? Use a 5% significance level for the test.
Answer:
Decision rule
Fail to reject the null hypothesis
Conclusion
The sample evidence is not sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.
Step-by-step explanation:
From the question we are told that
The sample size is n = 214
The sample proportion is p = 0.78
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the population proportion is mathematically represented as
[tex]p = \frac{3}{4} =0.75[/tex] (gotten from the statement ''three out of four'' in the question)
The null hypothesis is [tex]H_o : p = 0.75[/tex]
The alternative hypothesis [tex]H_a : p > 0.75[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^{p} - p}{ \sqrt{\frac{p(1-p)}{n} } }[/tex]
=> [tex]z = \frac{0.78- 0.75}{ \sqrt{\frac{ 0.75(1-0.75)}{214} } }[/tex]
=> [tex]z = 1.01[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z > z )[/tex]
=> [tex]p-value = P(Z > 1.01 )[/tex]
From the z-table
[tex]P(Z > 1.01 ) = 0.15625[/tex]
So
[tex]p-value = 0.15625 [/tex]
From the obtained values we see that [tex]p-value > \alpha[/tex] hence we fail to reject the null hypothesis
Therefore we can conclude that the sample evidence is not sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.
DATE:
a. Aling Luz bought 3 yards of linen cloth
which cost pnp 72. per yord & She gave Php 10o.
oo to cashier How much change will she tecive.
Answer: See explanation
Step-by-step explanation:
Your question isn't well written but let me help out. I saw a similar question.
Example 1: Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard. She gave Php 1000.00 to the cashier.How much change will she get?
Since we are informed that Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard, the amount she'll pay will be:
= 3/8 × 72
= Php 27
Since she gave the cashier Php 1000, her change will be:
= 1000 - 27
= Php 973
(6-x3)5=45 Please help
A restaurant will select 1 card from a bowl to win a free lunch. Jo puts 5 cards in the bowl. The bowl has 100 cards. What are the odds of jo winning a free lunch?
A)1/5
B)1/10
C)1/20
D) 1/500
Answer:
1/20
Step-by-step explanation:
Where is the vertex of f(x) = -2x - 3| +6.4?
I need somw help on this pls ^^
Answer:
100=9s+10
there are 10 students on each bus
A carver begins work on the following block of granite that weighs 2700 g. What is the density of the granite? View attachment below... Thank you all so much!!!
Answer:
density = mass/ volume
density= 2700/500
= 25/5 cm 3
(cubic centimeters)
Density of given granite block is [tex]2.7 g/cm^{3}[/tex].
Here,
Weight of granite block is 2700 g.
Dimension of the block is 20 cm, 5 cm, 10 cm.
We have to find the value of density of granite.
What is density?
Density is the substance mass per unit of volume.
Now,
Mass of the block is 2700 g.
Volume of the block = l x b x h
= 20 x 5 x10
=1000
Volume of the block = [tex]1000 cm^{3}[/tex]
Density = mass / volume
⇒ Density = [tex]\frac{2700}{1000}[/tex]
= [tex]2.7[/tex]
Hence, Density of given granite block is [tex]2.7 g/cm^{3}[/tex].
Learn more about the Density visit:
https://brainly.in/question/2786638
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helpp meeee will award brainliest
polynomial time............
Answer:
I'm pretty sure its b
Step-by-step explanation:
I plotted each one to make a polynomial graph and b was the one that had the x-intercepts at -6, 1, and 4.
hope this helped a little :))
What similarity rule can be used to prove the triangles are similar . plz help
Answer:
SAS
Step-by-step explanation:
PLEASE HELP!!!!
Drag each tile to the correct box.
Match each savings plan to its description.
401(k)
Roth IRA
403(b)
529 plan
health FSA
a tax-deferred retirement savings plan available to employees of some nonprofit
organizations and educational Institutions
a tax-advantaged college savings plan
an employer-offered retirement account that accepts contributions from
employees and employers
a tax-advantaged savings account available through employers to pay for
qualified medical expenses
a retirement Investment account managed by individuals, deposits are taxable,
but funds are tax exempt when withdrawn at retirement
Answer:
403(b)
529 plan
401(k)
health FSA
Roth IRA
Step-by-step explanation:
I looked it up. Good luck :)
Answer:
401(b)
529 plan
401(k)
health FSA
Roth IRA
Step-by-step explanation:
g A circle is a special case of an ellipse. Explain how a circle is different from other ellipses.
Answer:
Main difference between circle & ellipse
Step-by-step explanation:
Circle is a line forming a close loop, all points on the loop line are at equal distance from the centre, that distance is called Radius. Eg : Wheel
Ellipse is also a close loop line, such that distance of locus of all points on the plane to two fixed points (foci) always sum up to same constant. Eg : Orbits of planets
Cricle is the round shape entity in which it contains only radius and double of radius is diameter Thus below explanation is the answer to the Question
Explanation:
Cricle is the most rounded shape. Its different from ellipse because it has the radius, chord and diameter.cricle can be drawn easily with compass and ellipse is oval shape.cricle contains two types perimeter cricle and normal cricle. Ellipse has also two types partial ellipse and normal ellipse.Cricle does not have major and minor axis length both are different.Thus we conclude that cricle is totally different from ellipse
To know more about cricle and ellipse
https://brainly.com/question/9689499
Colin invests £1200 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.
Jillian is at her favorite clothing store and has found a pair of pants that are on sale for 20% off the regular price. They
are regularly $28. How much will be taken off the price?
$4,60
$8.00
$6.00
$5.60
Answer:
5.60 it answer D hope it helps ~••~
Help APSPP!!!!!!!!!!
Answer:
c is the answer young flyyy
Step-by-step explanation:
Answer:
hhaaaaaaaaaaaahhhhhhhhaaaaaaaaaaaaaaas
Step-by-step explanation:
Wendy and Mini earn $38 per week for delivering magazines. Wendy worked for x weeks and earned an additional total bonus of $15 Mini worked for y weeks. Which expression shows the total money, in dollars, that Wendy and Mini earned for delivering magazines
A: 53x + 38y
B: 38 + 15 + 38y
C: 38 - 15 + 38y
D: 38x + 53y
Anyone good with matrixes and matrices? please help me i need help with 10 questions and I need to raise my grade ASAP please
Answer:
what questions need to be done? We need to know the problems before we answer them. :/