Answer:
Thus, 2/9 is the simplified fraction for 8/36 by using the GCD or HCF method. Thus, 2/9 is the simplified fraction for 8/36 by using the prime factorization method.
Step-by-step explanation:
The two equivalent fractions for the given fraction are 4/18 and 2/9.
The given fraction is 8/36.
The equivalent fraction will be obtained by dividing or multiplying both the numerator and denominator of the fraction by same number.
Here, divide both the numerator and denominator by 2, we get
(8÷2)/(36÷2)
= 4/18
Again divide both the numerator and denominator by 2, we get
(4÷2)/(18÷2)
= 2/9
Therefore, the two equivalent fractions for the given fraction are 4/18 and 2/9.
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Find the slope of the line y = 1/3x + 1/7
Intro:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
This is the slope formula [tex]y=mx+b[/tex] if you know what each letter stands for you know which one is slope.
Each Letter Meanings:
y stands for the y-value in the order pairs on the line.
m stands for the rate of change, AKA the slope of the line.
x stands for the x-value in the order pairs on the line.
b stands for the y-intercept.
_________________________________________________________
So now you should have figured out that [tex]\frac{1}{3}[/tex] is the slope of the line.
Answer:
slope is 1/3
first point y intercept is 1/7
its a non linear function
(-3/7,0) (0,1/7)
Step-by-step explanation:
how do I solve the ratio of somthin
In a card game, Angel losses 8 points twelve rounds in a row. Which integer - represents the total number of point he lost in all twelve rounds?
Answer:
96
Step-by-step explanation:
12 x 8 = 96
distributive Property for 16 + 20
Solve for x in terms of a: 32 + 5 = a
Answer:
A =37
Step-by-step explanation:
Because you should just do the 32 + 5 since it is equal to A therefore, whatever the answer is should be what A is equal to. So: 30 + 2 + 5 = 37.
Twelve large bottles of water cost $9. How many bottles can you buy for $3? What is the cost per bottle of water? How much would 7 bottles of water cost?
Step-by-step explanation:
Given data
cost of 12 bottle = $9
How many bottle can $3 buy.
Given that $9 can buy 12 bottles
therefore $3 would by x bottles
cross multiply we have
9x=12*3
9x=36
divide both sides be 9
x=36/9
x=4 bottles
The cost per bottle is
9/12= $3/4
= $0.75 per bottle
if one bottle cost $0.75
the 7 bottles will cost =0.75*7
=$5.25
Answer:
4
Step-by-step expl
Since 12 bottles cost $9 then by doing
12/3=X
X=4
=$4
Could someone help me please
Answer:
c
Step-by-step explanation:
took the test
D
2x – 3
× x + 4
2x × x = 2x²
-3 × 4 = -12
Hi im in 5th grade an I really need help on my math homework. The question is "Which decimal rounded to the nearest tenth is 0.9"? Please help me I would be very happy if you could. :) -Brooklyn
Answer:
0.85, 0.86, 0.87, 0.88 or 0.89
Step-by-step explanation:
This is because, to round up a number to the nearest, the number after that number must be greater than or equal to 5. So, any of 0.85, 0.86, 0.87, 0.88 or 0.89 can be rounded to the nearest tenth since the digit after the 8 is greater than or equal to 5. So, 0.85 rounds to 0.9 to the nearest tenth, 0.86 rounds to 0.9 to the nearest tenth, 0.87 rounds to 0.9 to the nearest tenth, 0.88 rounds to 0.9 to the nearest tenth and 0.89 rounds to 0.9 to the nearest tenth.
So, any of 0.85, 0.86, 0.87, 0.88 or 0.89 can be rounded to the nearest tenth is 0.9
The ratio of the number of marbles in the red bag to the number in the blue bag is 3 : 5
Two marbles are moved from the blue bag to the red bag, making the ratio 7 : 9.
How many marbles are there in total?
answer: 16
step by step explanation:
The total number of marbles = 32 marbles.
We have ratio of the number of marbles in the red bag to the number in the blue bag is 3 : 5. After that, two marbles are moved from the blue bag to the red bag, making the ratio 7 : 9.
We have to find out how many marbles are there in total.
Is the ratio a:b equal to [tex]\frac{a}{b}[/tex].Yes, a:b equals to [tex]\frac{a}{b}[/tex] - where ' a ' is called Antecedent and ' b ' is called Consequent.
Let the total number of marbles be x.
Let the number of marbles in the red bag be ' x ' and in blue bag ' y '.
According to question -
[tex]\frac{x}{y} =\frac{3}{5}[/tex]
5x = 3y
x = [tex]\frac{3y}{5}[/tex]
After the two marbles are moved from blue bag are moved into the red bag, then -
[tex]\frac{x+2}{y-2} =\frac{7}{9}[/tex]
9(x + 2) = 7(y - 2)
9x + 18 = 7y - 14
9x - 7y = -32
9 ([tex]\frac{3y}{5}[/tex]) - 7y = -32
[tex]\frac{27y}{5} - 7y =-32[/tex]
[tex]\frac{-8y}{5}=-32[/tex]
-8y = -32 x 5
y = 4 x 5
y = 20
Therefore -
x = [tex]\frac{3\times20}{5}[/tex] = 12
Hence, the total number of marbles = x + y = 20 + 12 = 32 marbles.
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Sam traveled 20 miles in 3 hours.
Sam walked part of the distance at a speed of 4 miles per hour.
Sam rode his bicycle for the remaining distance at a speed of 12 miles per hour.
How many hours did sam spend walking?
How many hours did sam spend biking?
The number of hours that Sam spends walking is 1 hour. And the number of hours that Sam spends biking is 2 hours.
What is speed?We know that the speed formula
Speed = Distance/Time
Let 'x' and 'y' be the time when he walks and when he biking. Then the equations are given as,
x + y = 3 ...1
4x + 12y = 20 ...2
From equations 1 and 2, then we have
4(3 - y) + 12y = 20
12 - 4y + 12y = 20
8y = 8
y = 1 hour
The value of 'x' is calculated as,
x + 1 = 3
x = 2 hours
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A helicopter is flying directly above a submarine. The helicopter is 100 feet about sea level. The submarine is 250 below the sea level. b. What is the distance between the helicopter and the submarine? (1 pt) Write the equation you use to show (justify) your answer. (2 pts)
Answer:
350feetStep-by-step explanation:
We want to find the height between the helicopter and the submarine
let us use the water as reference
therefore the given information
helicopter= 100 feet about sea level.
submarine = 250 feet below the sea level.
Therefore the distance between the helicopter and the submarine is given as
=100+250
=350feet
(0.4k3 – 2.5k) – (2.4k3 + 3k2 – 1.2k) =
Answer:
–2k3 – 3k2 – 1.3k
Step-by-step explanation:
Hope this helped, Have an amazing day!!
Answer:
its C (what the guy said above)
Step-by-step explanation:
Find the value of x.
28)
Answer:
x=28
Step-by-step explanation:
4/28=k so 1/7=k
Graph y= 2/7x helpppppppp
The graph of the given equation is plotted below.
The given equation is y=2/7 x.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
Graph the line using the slope and y-intercept, or two points.
Slope: 2/7
y-intercept: (0, 0)
Plot the points (0, 0) and (7, 2) on the graph
Hence, the graph of the given equation is plotted below.
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A park charges $11 for one round of miniature golf and a reduced fee for each additional round played. If
Tom paid $46 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?
The reduced fee for each additional round played is $
Plzzz help plzzz help plzzz help plzzz help
Answer:
4$ off every time because if you take 6×11 you get 66 from the total without anything off and then subtract 66-46 and you get 20 so you take 20÷ 5 because 1 round was his first and there was no discount on the first round so your answer is 4$ everytime
At a school, 60% of the sixth-grade students said that hip-hop is their favorite kind of music. If 210 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school?
Answer:
350 6th grade students
Step-by-step explanation:
From the question
At a school, 60% of the sixth-grade students said that hip-hop is their favorite kind of music.
Total number of sixth graders that love hip-hop = 210
Let the total number of students in the school be represented as: x
Hence,
60% × x = 210
60/100 × x = 210
Cross Multiply
60x = 210 × 100
x = 210× 100/60
x = 350 students.
Therefore, the total number of sixth graders is 350 .
15 yards to 18 yards
Answer: The distance between 15 yards to 18 yards is 3 yards.
Step-by-step explanation:
Find the inverse function in slope -intercept form (mx + b) f(x) = - 5x + 15
Answer:
Pick either point (-6, 24) or (7,-15) and plug the x and y values into the above equation along with the value of m to get b.
Step-by-step explanation:
I need help with this
Answer:
It'll take 5 months until they have the same amount of hats
Answer:
5 months
Step-by-step explanation:
This system of equations has been set up in a way that should be easier for you to do. If h=m+11, doesn't that mean you could substitute m+11 for h?
You can start by writing m+11=3m+1 then solve it as any normal equation and you get 5!
Every fraction with a non-zero denominator or divisor is a _________.
A. Integer
B. decimal
C. rational number
D. quotient
Answer:
No estoy seguro, intenta preguntarle a tu profesor
Step-by-step explanation:
Every fraction with a non-zero denominator or divisor is a rational number.
What is a rational number?"A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator 'p' and a non-zero denominator 'q'."
Given, a fraction has a non-zero denominator.
Therefore, the fraction is a rational number for any possible case.
An integer itself a rational number.
A decimal number is always a rational number.
A quotient is the result of dividing one number with the another.
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A triangle has angle measures x + 15 , 3x − 35 , and 4x. Find the value of x
Using the knowledge of the total sum of the internal angles of a triangle, the value of x would be 25
Recall :
A + B + C = 180° (Sum of the internal angles of a triangle)Hence,
(x + 15) + (3x - 35) + 4x = 180
x + 15 + 3x - 35 + 4x = 180
8x - 20 = 180
8x = 180 + 20
8x = 200
x = 200 / 8
x = 25°
Therefore, the value of x is 25
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A printer is printing photos. For every 6 photos, the printer takes 2 minutes.
Complete the table below showing the number of photos and the time it takes to print them.
Answer:
Next to 6 is 9, next to 15 is 27, and next to 3 is 5
Step-by-step explanation:
If you imagine 6 photos for every 2 minutes as a fraction and simplify it, the answer to this would be 3 photos for every 1 minute (basically 3/1). By using this unit fraction, you'll see that you're supposed multiply the amount of minutes by 3, or you can divide the # of photos by 3.
For 3 mins, you multiply that by 3 to get 9 photos.
For 9 mins, you multiply that by 3 to get 27 photos
For 15 photos, you divide that by 3 to get 5 photos.
Ok, have a Spooky Halloween!
I need help with math I am dumb so pls help me if you can
Answer:
4/10 x 10 = 40/100
Step-by-step explanation:
I have done this one before.
I hope this helps!
Answer:
4/10 x 10 = 40/100
Step-by-step explanation:
I had queation today
need answers to 13 and 15. please help.
Answer:
13) 11
15) 16/61 or 0.262295082
Drag each tile to the correct box. Not all tiles will be used. Arrange the steps to solve the equation . Simplify to obtain the final radical term on one side of the equation. Raise both sides of the equation to the power of 2. Apply the Zero Product Rule. Use the quadratic formula to find the values of x. Simplify to get a quadratic equation.
Answer:
Raise both sides of the equation to the power of 2
Raise both sides of the equation to the power of 2 again
Simplify to get a quadratic equation.
Use the quadratic formula to find the values of x.
Step-by-step explanation:
The radical equation is expressed as:
[tex]\sqrt{x+3} - \sqrt{2x-1} = -2[/tex]
The following steps are to be followed to calculate x:
Step 1: Raise both sides of the equation to the power of 2.
[tex](\sqrt{x+3} - \sqrt{2x-1})^2 = (-2)^2\\x+3 - 2\sqrt{x+3}\sqrt{2x-1}+(2x-1) = 4\\ - 2\sqrt{x+3}\sqrt{2x-1}+x+3+2x-1 = 4\\ - 2\sqrt{x+3}\sqrt{2x-1}+3x+2 = 4\\ - 2\sqrt{x+3}\sqrt{2x-1} +3x-2 = 0\\[/tex]
Step 2: Raise both sides of the equation to the power of 2 again
[tex](-2\sqrt{x+3}\sqrt{2x-1})^2 = (2-3x)^2\\4(x+3)(2x-1) = (2-3x)^2\\[/tex]
Step 3: Simplify to get a quadratic equation.
[tex]\\4(2x^2-x+6x-3) = 4-12x+9x^2\\4(2x^2+5x-3) = 4-12x+9x^2\\8x^2+20x-12 = 4-12x+9x^2\\x^2-32x+16 = 0[/tex]
Step 4: Use the quadratic formula to find the values of x.
x = 32±√32²-4(16)/2
If j(x) = x^2 + 1, find j(a + 1)
Answer:
[tex](a + 1) ^{2} + 1[/tex]
[tex]a ^{2} + 2a + 2[/tex]
help usa test prep i will mark as brainliest to whoever answers first
Answer:
a
Step-by-step explanation:
A hockey player needs to shoot a puck 55 meters from his current location to his opponent's goal to score a goal. After the shot, the puck is 120 centimeters from his opponent's goal. If there are 100 centimeters in 1 meter, how many meters did the puck travel?
Answer:
The puck traveled a distance of 5.38 meters or 5,380 meters
Step-by-step explanation:
Here, we want to know the distance the puck traveled.
The distance from the player’s current location to the opponent’s is 55 meters
Since there are 100 centimeters in a meter, then
55 m= 55 * 100 = 5,500 centimeters
Now, we are told that the puck landed just 120 cm from the opponent’s goal
The distance traveled by the puck will be;
5,500 cm - 120 cm = 5,380 cm
The puck traveled a distance of 5,380 cm or 5.38 meters (5,380 cm to meters is calculated by just dividing by 100)
Donna finished her chemistry assignment in 1/8 hour. Then she completed her history assignment in 2/3 hours. What was the total amount of time Donna spent doing these two assignments? write your answer in simplest form.
Answer:
3/11
Step-by-step explanation:
You add both of the fractions so 2+1 is equal to 3 and 8+3 is equal to 11. You can not simply any further from 3/11
Lorraine writes the equation shown. x squared + y minus 15 = 0 She wants to describe the equation using the term relation and the term function. The equation represents .
Answer:
The equation represents: A relation and a function
Step-by-step explanation:
A function is said to be a relation; however, the relation does not have to function. For a relation to result in a function, then every input gives an important output. Thus; the given information x² + y - 15 = 0 can be re-written as:
y = - x² + 15
Similarly, the equation typically illustrates a relation as well. Consequently, suppose we replace any x-value for x, then the one possible output will be for y. Hence, that is also a function.
Answer:
A
Step-by-step explanation:
The answer is A
