The given - 1 1/5 expressed as improper fraction can be written as - [tex]\frac{6}{5}[/tex]
An improper fraction can be regarded as fraction whereby, the numerator is greater compare to the denominator.The numerator can regarded as the number that is on top, The denominator can regarded as the number that is at down.we were given [tex]\frac{1}{5}[/tex]-1 /5 so to express this as improper fraction, we multiply the whole number with the denominator then add to the numerator then we have
[tex]\frac{-6}{5}[/tex]-
Therefore, the improper fraction of the given figure is [tex]\frac{-6}{5}[/tex]
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A system of equations is shown:
2x = -y + 6
--4x + 3y = 8
What is the solution to this system of equations?
0 (-1,-4)
O (1.4)
(4, 1)
(-4,-1)
[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]
Given two equations are :
2x = - y + 6.-4 x + 3y = 8 .We may write them as ,
2x + y - 6 = 0 .................(i) 4x - 3y + 8 = 0 ...............(ii)Multiplying equⁿ (i) by 2 :
⇒ 2(2x + y - 6 ) = 0.
⇒ 4x + 2y - 12 = 0 .....................(iii) .
Subtract equⁿ (ii) from equⁿ (iii) :-
⇒ 4x + 2y - 12 = 0
ㅤ- 4x + 3y - 8 = 0 [ Sign changes ]
__________________
⇒ 5y - 20 = 0.ㅤㅤㅤㅤㅤ
⇒ 5y = 20.
⇒ y = 20/5.
⇒ y = 4
Put this value in (i) to obtain x .
⇒ 2x + y - 6 = 0.
⇒ 2x +4 - 6 = 0.
⇒ 2x - 2 = 0.
⇒2x = 2 .
⇒ x = 2/2.
⇒ x = 1 .
Hence the value of x is 1 & y is 4.
[tex]\boxed{\purple{\bf\pink{\dag}\:Hence\:the\: correct\: option\:is\:[b]\:(1,4)}}[/tex]
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
what is 37737332732.83838-388733883.6 equal?
Answer:
4838388.34?
Step-by-step explanation:
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Answer:
11/200
Step-by-step explanation:
This is the correct answer boo
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factorize p^4+4
Answer:
Step-by-step explanation:
(p²)²+2²
(p²+2)²-2p²2
(p²+2)²-4p²
(p²+2)²-(2p)²
(p²+2-2p)(p²+2+2p)
show that: (1-sin x)/(cos x)=(sec x - tan x)
This is the step-by-step explanation
I need help with this question
Answer:
1/3
Step-by-step explanation:
i hope this helps you! :)
Answer:
1/3
Step-by-step explanation:
When you are subtracting frations with the same denominator, you would only subtract the numerator and keep the denominator the same.
need help again!!! please and thank you!
Answer:
C) 4
Step-by-step explanation:
Just follow the same steps as the last one.
32x+2 = 33x-2
2+2=33x-32x
4=1x
X=4
help ASAP. Which relation is a function?
Answer:
Answer choice on the top right.
Step-by-step explanation:
A function of points can not share the same x value.
sub to astronaut gaming i have 27 or 28 subs if you need help finding i will help
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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:
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
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'.
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.
There are (26)3⋅ 20 bacteria in a sample. What is the total number of bacteria in the sample? (1 point)
Answer: If we multiply then I guess it’s 26*3=78 and 78*20=1,560
Step-by-step explanation:
please help!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
By solving (x+6)(x-9), we get x^2 - 3x - 54. By looking at our y-intercept, we can see that only option A has the correct intercept.
Answer:
A
Step-by-step explanation:
what is the rate of change for the liner relationship modeled in the table?
i'm sorry wheres the picture?
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.
What are the domain and range of f (x)= -27
Answer:
Domain: (-∞,∞)
Range: {−27}
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.
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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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
Labor costs. Labor costs for a farmer are $55 per acre for corn and $45 per acre for soybeans. How many acres of each crop should the farmer plant if he wants to spend no more than $6,900 on labor?
Answer:
392984
Step-by-step explanation:
five times the sum of a number and four
here is the Answer:
5(x+4)
Hope it helps
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:
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.
Define the following terms:
4.321 × 12.34 AND IF YOU ANSWER YOU GET 10 POINTS JUST PLS HELP
Answer:
53.32114
Step-by-step explanation:
Chloe runs the after-school cookery club.
The group will be baking 36 scones using the following recipe.
Recipe for 12 scones:
• 250 g self-raising flour
• 60 g butter
• 30 g caster sugar
• 175 ml milk
How much milk will be used?
ml
Answer:
525 ml
Step-by-step explanation:
12 : 175 ml
36 : x
= 175 × 36
= 6300
x = 6300/12
= 525 ml
The amount of milk that is used while baking 36 scones will be 525 mL.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Chloe runs the after-school cookery club. The group will be baking 36 scones using the following recipe.
Recipe for 12 scones:
250 g self-raising flour60 g butter30 g caster sugar175 mL milkThe amount of milk that is used while baking 36 scones will be given as,
⇒ 175 x 36 / 12
Simplify the expression, then we have
⇒ 175 x 36 / 12
⇒ 175 x 3
⇒ 525 mL
The amount of milk that is used while baking 36 scones will be 525 mL.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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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)