Answer:
[tex]\text{The reduced fraction is } \frac{2}{3}[/tex]
Step-by-step explanation:
Fraction Reduction
To reduce a fraction, we try to divide both the numerator and denominator by the very same number until no more numbers can be found.
The fraction to reduce is:
[tex]\displaystyle \frac{54}{81}[/tex]
Since the denominator is odd, we cannot divide by 2, but we can divide by 3:
[tex]\displaystyle \frac{54}{81}=\frac{18}{27}[/tex]
We divide by 3 again:
[tex]\displaystyle \frac{18}{27}=\frac{6}{9}[/tex]
We divide by 3 one last time:
[tex]\displaystyle \frac{6}{9}=\frac{2}{3}[/tex]
[tex]\text{The reduced fraction is } \frac{2}{3}[/tex]
How many x-intercepts and y-intercepts can a linear function have?
can anyone help me get 4 brainliest plz
ok i will just friend me but as long as you mark this the brainlest :)
sing the expression x + 3, write one equation that has one solution, one equation that has no solution, and one equation that has infinitely many solutions. Explain
Answer: one solution x + 3 = 5 x = 2 no other other value for x is possible
No solution: (x + 3) = 2(x +3)
Infinitely many solutions: x+3 = 3 + x
Step-by-step explanation:
why (x + 3) = 2(x +3) has no solution. Can you solve?
x+3=2x+6 -x=3 x=-3 substute -3 for x
(-3)+ 3)= 2[(-3) +3]
-3+3 = -6 +3
0 = -3 False!
x+3 = 3 + x has infinitely many solutions. Substitute any number for x, and the equation is true (5)+3=3+(5) 8=8 . 11111+3 =3+11111 11114=11114
An equation can either have: one solution, no solution, or infinitely many solutions. Some equations that can be derived from [tex]x + 3[/tex] and their solution type are:
[tex]x + 3 = 2x[/tex] has one solution[tex]x + 3 = x[/tex] has no solution[tex]x + 3 = 2(0.5x + 1.5)[/tex] has one solutionGiven that:
[tex]Expression = x + 3[/tex]
Equation with one solution
For an equation to have one solution. then the equation is consistent and dependent.
For instance:
[tex]x + 3 = 2x[/tex]
Collect like terms to solve for x
[tex]2x -x = 3[/tex]
[tex]x =3[/tex]
This means that [tex]x =3[/tex] is the only solution to [tex]x + 3 = 2x[/tex].
Hence, [tex]x + 3 = 2x[/tex] has one solution
Equation with no solution
For an equation to have no solution. then both sides of the equation are not equal
For instance:
[tex]x + 3 = x[/tex]
Collect like terms to solve for x
[tex]x- x = 3[/tex]
[tex]0 = 3[/tex]
Because 0 is not equal to 3, then [tex]x + 3 = x[/tex] has no solution
Equation with infinitely many solutions
For an equation to have infinitely many solutions. then both sides of the equation must be the same thing
For instance:
[tex]x + 3 = 2(0.5x + 1.5)[/tex]
Open the bracket
[tex]x + 3 = x + 3[/tex]
Collect like terms
[tex]x - x = 3 - 3[/tex]
[tex]0 = 0[/tex]
Because both sides are the same (i.e. 0), then [tex]x + 3 = 2(0.5x + 1.5)[/tex] has infinitely many solutions
Read more about equation solutions at:
https://brainly.com/question/10628783
David watches Maria and Alma race electric trains around a track. Maria's train goes around the track in 10 seconds. Alma's train goes around the track in 12 seconds.
How long will it take for both trains to cross the finish line together the first time?
A
30 seconds
B
60 seconds
C
72 seconds
D
120 seconds
Answer:
60 seconds.
Step-by-step explanation:
We have been given that Maria train can go around the track in 10 seconds. Alma train can go around the track in 12 seconds.
To find the number of seconds after which both trains will cross the finish line together the first time we will find LCM of 10 and 12. LCM will give us the smallest positive integer that is divisible by both 10 and 12.
Multiples of 10 are: 10, 20, 30, 40, 50, 60, 70,...
Multiples of 12 are: 12, 24, 36, 48, 60, 72, 84,..
We can see that least common multiple of 10 and 12 is 60, therefore, it will take 60 seconds for both trains to cross the finish line together the first time.
Find the product... Please and thank you.
(x+7) (x+5)
Answer:
x+12x+35
Step-by-step explanation:
use the FOIL method!
Factor the following trinomial completely, or state that the trinomial is prime.
3x^2+10xy + 8y^2
Answer:
(3x + 4y)(x + 2y)
Step-by-step explanation:
3x^2+ 10xy + 8y^2
All signs are positive, so we'll only look at positive factors of 3 and 8.
3 factors into 3 and 1.
8 factors into 4 and 2, and it also factors into 8 and 1.
I like to try closer factors in value, so I'll start with 4 and 2 for 8.
Try:
(3x + 2y)(x + 4y) = 3x^2 + 12xy + 2xy + 8y^2 = 3x^2 + 14xy + 8y^2
The middle term does not work. Switch 2y and 4y and try again.
Try:
(3x + 4y)(x + 2y) = 3x^2 + 6xy + 4xy + 8y^2 = 3x^2 + 10xy + 8y^2
It works.
Answer: (3x + 4y)(x + 2y)
ASAP!!! BRAINLIEST!!
PLS HELP!!! SHOW ALL WORK +STEPS!! Thx!
Equation: y = 2x + 4
72 = 2x + 4
68 = 2x
x = 34
Hope this helps! :)
Slope of the line: rise/run = 4/2 = 2
y-intercept = 4
Plug into y = mx+b
y = 2x + 4
Plug 72 for y
72 = 2x + 4
=34
WILL GIVE BRAINLIEST: If a = 6 and b =2, then what does a^8 equal?
Answer:
1679616
Step-by-step explanation
1. How do the areas of the two shapes compare?
Answer:
we cant really answer cause we cant see the 2 squares
Step-by-step explanation:
Solve the problem please
Answer:
The correct answer would be 3x/5y
Step-by-step explanation:
You are substracting, and the denominator is the same for both 5x/5y and 2x/5y, so it will remain the same (5y). This only leaves you needing to substract 5x-2x, which equals 3.
5x/5y-2x/5y= 3x/5y
Step-by-step explanation:
[tex]\frac{5x}{5y}-\frac{2x}{5y}\\ \frac{5x -2x}{5y}\\ \frac{(5-2)x}{5y} \\ \frac{3x}{5y}[/tex]
Answer:[tex]\frac{3x}{5y} \\[/tex]
Which symbol correctly compares the fractions?
−5/6 −13/15
a. >
b. <
c. =
From both percentages, we can see that -83.3% is greater than -86.67%, hence, −5/6 > −13/15
For us to compare negative fractions, we must know that higher negative fractions are less than the smaller ones
Given the fractions −5/6 and −13/15
First we will need to write this fractions as percentage:
-5/6 * 100 = -500/6 = -83.3%
-13/15 * 100 = -1300/15 = -86.67%
From both percentages, we can see that -83.3% is greater than -86.67%, hence, −5/6 > −13/15
Learn more here: https://brainly.com/question/24191335
Mr.winstons class worked in 3 groups 1/4 of the students read 5/8 of the students worked with mr.winston the remainder of the class worked on a project what part of the class worked on a project
A. 9/8
B.5/8
C./8
D.1/8
Will give brainliest
Answer:1/8(D)
Stepplease mark me as the brainliest
kelly is going to buy 12 items from Pablo's Food Truck. 1/6 of the items are tacos, 25% are empanadas, 1/3 are tamales and the rest are burritos. How many burritos did kelly buy?
Answer: 3 burritos
Step-by-step explanation:
Fraction of tacos = 1/6
Fraction of empanadas = 25% = 1/4
Fraction of tamales = 1/3
Fraction of burritos = 1 - (1/6 + 1/4 + 1/3)
It should be noted that the lowest common multiple for 6, 4 and 3 is 12.
Fraction of burritos = 1 - (1/6 + 1/4 + 1/3)
= 1 - (2/12 + 3/12 + 4/12)
= 1 - 9/12
= 3/12 or 1/4
The number of burritos bought by Kelly will now be:
= 1/4 × 12
= 3 burritos
Help meeeeeeeeeeeeeeeeeeeeeee !!!!!
Answer:
i think it is the 2nd one and the 5th one.
Step-by-step explanation:
hope this helped!
p.s it would be cool if you gave me brainliest
Find the slope of the line that is parallel to y = -x = 1
A. -1
B. 5/4
C.1
D.-5/4
Answer: A) -1
Step-by-step explanation: Parallel slopes are always the same, therefore a slope that is -1 is parallel to another slope that is equal to -1.
Ibai has taken 2/5 out of a barrel of beer, Ane has drawn a third. It expresses in graphic and numerical form: a) The fraction that they have drawn between the two. b) Which of them has gotten the most?
Answer:
7/15
Step-by-step explanation:
2/5 + 1/3 is the same as 2/5 + 5/15.. so we add them together to get 7/15. This can not be simplified further
To know who has gotten most I like to think in percentage terms. 2/5 is the same as 40% (2/5 is the same as 4/10 = 40/100 =40%). 1/3 is 33.33% so Ane got more
Answer:
A. 11/15 B. Ibai.
Step-by-step explanation:
First, find the Least Common Multiple, or LCM, of the denominators, which is 15. Then, multiply each denominator by the number that gets the denominator to 15, which is the LCM. Next, multiply the numerator by the same number you multiplied the denominators, which was 3 for Ibai, and 5 for Ane. Finally, compare the two numbers to see which is higher. In this case, Ibai took out 6/15, while Ane took out 5/15, meaning Ibai took out more than Ane. Also, together, Ibai and Ane both drew out 11/15 together.
A sea turtle is 3 feet below the surface of the sea. If its position can be recorded as - 3 feet, what would the position 0 represent in this situation? (4 points) A the surface of the sea.B the distance above the surface of the sea.C the distance below the surface of the sea. D the height of the turtle
Answer:
A.
Step-by-step explanation:
what is the distance of the line segment between the endpoints (-6,5),(4,-5)
i need help Nika baked three loaves of zucchini bread. Each cake needed StartFraction 17 over 4 EndFraction cups of flour. Which expression shows the best estimate of the number of cups of flour that Nika used?
4 + 4 + 4 = 12
5 + 5 + 5 = 15
4 + 4 + 4 = 16
17 + 17 + 17 = 51
Answer:
B..
lol
Step-by-step explanation:
help please i’m stuck on this question and i’m really confused please help someone
Answer:
m 1= 113 i think :)
Step-by-step explanation:
180 - 67
Answer:
it should total 180 degrees
so 160-67 is 113
For every 1/150 square mile Xavier mows, Boa mows 1/120square miles. How many square miles does Xavier mow for every 1 square mile?
A. 3/5
B. 4/5
C. 5/4
D 15/17
Answer:
4/5
Step-by-step explanation:
step 1: Divide 1/150 by 1/120. (You should get 0.8)
step 2: convert 0.8 into a fraction over 10. (8/10)
step 3: simplify that fraction by dividing 8/10 by 2, which will give you your final answer, 4/5.
The required square miles that Xavier mow 4 / 5. Option B is correct.
Given that,
For every 1/150 square mile Xavier mows, Boa mows 1/120square miles, how many square miles does Xavier mow for every 1 square mile is to be determined.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Ration of Xavier to Boa = 1 / 150 / 1 / 120
= 120 / 150
= 12 / 15
= 4 / 5
Thus, the required square miles that Xavier mow 4 / 5. Option B is correct.
Learn more about ratios here:
brainly.com/question/13419413
#SPJ2
20)
Which square root is NOT a whole number?
A)
144
B)
156
C)
169
D)
196
Answer:
196
Step-by-step explanation:
196 does not have a whole number square
Write an equation that represents the number sentence.
One-third the difference between the unknown number and 6, plus one-sixth the unknown number is -1.
Printing Brochures The trade show is less than three weeks away. Your manager wants to be sure you have plenty of color brochures in time for the show. She said there will be nearly 4100 attendees, and that the brochures should cost no more than $1900. You were told to call Sofia for help ordering the brochures.
Step 1: Understand the Problem
What do you know?
11. List three criteria for the print order that you know are important to your manager. (6 points: 2 points for each piece of information)
Answer:
1. No extra fees unless we need out order sooner (2 weeks for an extra $50)
2 .orders of 1000 or more are 40 cents a piece orders of fewer thank 1000 are 60 cents a piece
3. The brochure will arrive in three weeks so we need to pay an extra $50 to get them before the show
Step-by-step explanation:
I’ve done this already but if you need me to explain lmk:)
what is the answer for x/1.2=-7
Answer:
x = -8.4
Step-by-step explanation:
You do the inverse operations:
The inverse of division is multiplication, so:
x/1.2 = -7 (x 1.2) - multiply by 1.2
x = -8.4
help me im dummmy head
Answer:
(-2, 3) And you're not a dummy!
Step-by-step explanation:
x + 3(3) = 7 (multiply 3 times 3)
x + 9 = 7 ( subtract 9 on both sides)
x = -2
It already gave you y
y = 3
HOPE THIS HELPED!!
What is the remainder when (x4 + 36) is divided by (x2 – 8)?
Answer:
x^5/y for x
Step-by-step explanation:
Answer:
The answer is C 100
Step-by-step explanation:
Calculate the density of benzene if 0.10L has a mass of 36.4g.
Answer:
[tex]d=0.364\ g/cm^3[/tex]
Step-by-step explanation:
It is given that,
Mass of benzene, m = 0.1 L
Mass, m = 36.4 g
We know that, 1 L = 1000 cm³
0.1 L = 100 cm³
The density of an object is equal to its mass divided by its volume. So,
[tex]\rho=\dfrac{m}{V}\\\\=\dfrac{36.4\ g}{100\ cm^3}\\\\=0.364\ g/cm^3[/tex]
So, the density of benzene is [tex]0.364\ g/cm^3[/tex].
look at the picture
thx guys
Sebastian scored a 94% on a test. Frankie answered 43 questions correctly out of 50 total questions. Who scored higher on the test?
Answer:
Sebastian did.
Step-by-step explanation:
seb = 94% or 47/50
while frankie = 43/50 or 86%
Also look at 50 if you want and you can see it divides evenly with 100. Basically each mistake you make is 2 percent lost.
Answer: Sebastian
Step-by-step explanation: Divide 43 by 50.
43/50=0.86
tests are graded by the decimal point so he got 86%
since 94% is more than 86% sebastian scored higher
