Answer:
Is there supposed to be an image?
Step-by-step explanation:
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.
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 the surface in contact with ground affect the going motion of the car ?why?
Answer:
Yes, it does. The ground is bumpy and it creates friction acting against the car's motion.
(you can include my example too depending on what your teacher is looking for)
Step-by-step explanation:
This is a fun one! Think about a ball rolling on a smooth surface, now on a bumpy sandpapery one. Which one do you think is faster? The smooth surface! This is because of this friction of the sandpaper which slows down the ball. On the other hand, the smooth one has very little friction. The same applies to cars.
A vaccine is 95 percent effective. What is the probability that it is not effective for more than 1 out of 20 individuals?
Answer:
The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:
P = 1 - P(1) - P(0)
Where:
P(1) = probability that the vaccine is not effective in one individual
P(0) = probability that the vaccine is not effective in 0 individuals.
The probability that the vaccine is effective is 0.95
Then the probability that the vaccine is not effective is 0.05.
Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:
p(1) = (0.05^1)*(0.95^19)
But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)
Then the actual probability is:
P(1) = 20*((0.05^1)*(0.95^19)) = 0.377
And P(0) is easy to compute:
P(0) = (0.05^0)*(0.95^20) = 0.358
And here we have only one possible permutation, so we do not worry about that.
Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265
This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)
PLZ HURRY IT'S URGENT!!!
What is the slope of the line?
y=3
options:
0
1
3
undefined
Answer:
0
There is no x or number with an x (example: y= 2x+3, the 2 would be the slope)
Answer:
0
Step-by-step explanation:
An airplane maintaining a constant airspeed takes as long to travel 925 mi with wind as it does to travel 775 mi against the wind. If the wind is blowing at 15 mph, what is the rate of the plane in still air
9514 1404 393
Answer:
170 mph
Step-by-step explanation:
The speed of the airplane can be represented by s. The travel time will be ...
time = distance/speed
925/(s +15) = 775/(s -15)
925(s -15) = 775(s +15)
150s = 25500 . . . . . . . . . add 13875-775s
s = 170
The rate of the plane in still air is 170 mph.
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
What are the domain and range of f (x)= -27
Answer:
Domain: (-∞,∞)
Range: {−27}
PLEASE HELP!!!
There are 800 students who attend Park Middle School. There are 1.5 times as many boys as there are girls. Assign variables to the unknowns.
PLZZ ANSWER THE QUESTION
Answer:
c
Step-by-step explanation:
y = mx + b
”m” is the slope, so the slope is -2
”b” is the y - intercept, so the y - intercept is (0 , 1)
(6-x3)5=45 Please help
emilio worked for 19.5 hours he earned 497.25 how much did he earn per hour?
Answer:
25.5 per hour
Step-by-step explanation:
497.25/19.5
Answer:
497.25 devided by 19.5= $25.5 per hour
Step-by-step explanation:
I need to find the missing angles of this triangle
Answer:
it is 90 degrees
Step-by-step explanation:
All you have to do is add the sides that you know and triangles total is 180 so add 32+58 and u get 90 degrees then u will have to subtract 180 from 90 and it equals 90 which is your missing angle
Where is the vertex of f(x) = -2x - 3| +6.4?
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:
....................
help please!!
For the following situation, identify the explanatory and response variable. Then discuss what reservations (think cautions) you might have about the results of the experiment. Asking “What if…” type questions may help.
Do the high, centered brake lights (which have been required on all U.S. cars since 1986) really reduce the frequency of rear-end collisions? Randomized comparative experiments with fleets of rental and business cars, done before the lights were required, showed that the third brake light reduced rear-end collisions by as much as 50%. After the lights were required the drop was only 5%.
The experiment is messed up. Business and rental drivers are usually much more careful in their driving patterns because the car isn't theirs. They are usually adults, experienced drivers who don't put themselves into risky driving situations. = Speeding, cutting off others etc.. It also didn't tell how much the cars were driven. There may have been a down turn in the economy and thus less business driving and same with the rentals. If they were used less after the installation then the study wasn't really valid. What was the price of gas before and after the instillation. Who did the study? Did the previous testers have any reason to skew the study? Did they own stock in the third light business? Was it the same people who did the study before who did the study afterwords? What was the average age of the drivers before and after? The study group may have aged and calmed down a bit more? What were the technology changes that occurred about the same time? Anti skid brakes, better material and tread designs for the tires, what about the design of the gages and their lighting. How about the window styles and size..larger windows mean better view and potentially less accidents. What were the safety aspects of the cars before compared to the cars after, were they the same makes and Models or did the rental and business learn that certain cars were safer than others and move to the safer Models? so many variables to consider but did the tester consider them all-probably not. Random studies study only a certain percentage of the total. Who's to say the second random study didn't get less experienced drivers to study? All good what ifs'.
what is 37737332732.83838-388733883.6 equal?
Answer:
4838388.34?
Step-by-step explanation:
can someone please help me
Answer:
y = -5/3x -7
Step-by-step explanation:
If lines are parallel they have the same slope m = -5/3. Just need to figure out the new y-intercept going through the point (-9, 8).
y = mx + b
8 = -5/3(-9) + b
8 = 15 + b
b = -7
Now use m and b to form new equation of parallel line.
y = mx + b
y = -5/3x -7
Define the following terms:
Find the difference in lowest term 7/18 - 3/18
Answer:
2/9
Step-by-step explanation:
4/18 and that can be reduced by dividing both (denominator and numerator) by 2 which leaves you with 2/9
Hope that helps and have a great day!
Eliza walked 1 1/2 miles in 2/3 of a hour. what is her walking rate in miles per hour?
helpp meeee will award brainliest
2. I mark as brainliest
Answer:
3.55 miles
Step-by-step explanation:
You add the mileage of the two trails which is 1.75+1.8=3.55 miles
A large hamburger (e.g., Whopper®) sandwich contains 628 kcal and 36 grams of fat. Approximately what percentage of the total energy is contributed by fat?
Answer:
Step-by-step explanation:
Total energy of the sandwich = 628kcal
Mass of fat contained = 36grams
Convert gram to kcal
1gram = 9kcal
36 grams = x
x = 36×9
x = 324kcal
Hence the fat contains 324kcal
%fat contained = fat(in kcal)/total calorie × 100%
%fat contained = 324/628 × 100%
%fat contained = 1/2 × 100%
%fat contained = 50%
Hence approximately 50% of the total energy is contributed by fat.
is 13.48 irrational or rational?
Answer:
It is irrational
Step-by-step explanation:
Rational numbers do not have decimals.
b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?
Answer:
c
Step-by-step explanation:
Step-by-step explanation:
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Write the slope-intercept form of the equation for
each graph described.
Line passing through (-2,-8) and (9,-8)
Answer:
y=-8
Step-by-step explanation:
First find the slope which is rise over run which equals (y2-y1)/(x2-x1)
(-8-(-8))/(9-(-2))
(-8+8)/(9+2)
0/11
slope = 0
Now you have the slope of 0. You can plug in one of the given point (x,y) to find b
-8=0(9)+b
-8=b
Combine everything
y=0x-8
y=-8
4.321 × 12.34 AND IF YOU ANSWER YOU GET 10 POINTS JUST PLS HELP
Answer:
53.32114
Step-by-step explanation:
More on Linear Equations & Linear Systems: Question 1
How many solutions does the system of equations below
have?
y - 2x + 2
y-r-1
Select one:
none
infinitely many
O o o o
one
two
Answer:
21
Step-by-step explanation:
Jeffrey thinks that the largest place value that 8.21 and 19.5 have in common is the tens place Austin thinks that the largest place value they have in common is the ones place
Answer:
Austin is correct.
Step-by-step explanation:
19.5 has a tens, ones, and tenths place. 8.21 has a ones, tenths, and hundredths place.
Answer:
Neither are correct.
Step-by-step explanation:
8.21:
Tens Place - 0
Ones Place - 8
Tenths Place - 2
Hundredths Place - 1
19.5:
Tens Place - 1
Ones Place - 9
Tenths Place - 5
Hundredths Place - 0
None of the places are in common, so neither Jeffery nor Austin is correct.