Is 5/6 equal to 2/3?
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Work Shown:
For now, let's assume they are equal. We'll show a contradiction happens.
5/6 = 2/3
5*3 = 6*2 ... cross multiply
15 = 12 ... here's the contradiction
If the original equation was true, then we would get the same thing on both sides in the final step shown above. However, we get a contradiction, so that means the original equation is false.
Furthermore, the left side is larger in the third step, so the left side is larger for each of the three steps. We can then say
5/6 > 2/3
5*3 > 6*2
15 > 12
Which helps show 5/6 is larger than 2/3.
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Or you can use a calculator to see that
5/6 = 0.833 approximately
2/3 = 0.667 approximately
which shows the two fractions aren't equal and 5/6 is larger.
what value of x makes the equation true ?
Answer:
x = -7
Step-by-step explanation:
You have to set up an algabraic equasion
2x + 3 = x - 4
-7 = x
CHOOSE THE CORRECT CORRESPONDENCE.
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A. Side RU
B. Side TU
C. Side RT
Answer:
i believe its B side Tu
Step-by-step explanation:
Which of these sequences has the largest common difference?
-2, 1,4,7, ...
3, 5, 7, 9, ...
8, 9, 10, 11, ...
4, 3, 2, 1, ...
Answer:
i think it is the first one
Step-by-step explanation:
I think
Will give brainlist. I need help.
Answer:
6
Step-by-step explanation:
2x6 and then you divide by 1/2 it's just simple math
Answer:
6
Step-by-step explanation:
the formula is base times height times 1/2. The base is 6 the height is 2. Thats 12. Then divide it by (or multiply by 1/2) to get 6:)
What is the solution for this system of equations:
y = 1/2 x + 1
x + y = 16
Answer:
x = 10, y = 6Step-by-step explanation:
Giveny = 1/2 x + 1 x + y = 16Substituting y in the second equation:
x + 1/2x + 1 = 161.5x = 15x = 15/1.5 = 10Then
y = 1/2*10 + 1 = 5 + 1 = 6HELP ITS URGENT!!!!! ONLY PEOPLE WHO WILL HELP!!! PLEASE I NEED HELP! 50 POINTS
Ansta c
es decir la pendiente es -1/3 y la intersección con el eje y es -2/5 segun mis calculoslanation:
Answer:not sure
Step-by-step explanation:
This was my bad place in mathe
What is the Y intercept of the linear equation X -1/2 Y equals -6
Answer:
y=12
Step-by-step explanation:
I have a diameter of 25.6, what is the circumference ?
Answer:
2π *r = C
2π *12.8 = 80.4248
Step-by-step explanation:
R would be half of diameter 25.6/2 =12.8
Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mph or he could just go the whole way at 4 mph. How long would each of these options take?
Answer:
1) 11/3 hours or about 3.67 hours.
2) 3.75 hours.
Step-by-step explanation:
Let’s determine the time it will take for Bob to hike for each of the options.
Option 1) Hiking 5mph for 2 hours, then 3mph.
The total distance is 15 miles.
If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.
Therefore, 15-10 or 5 miles still needs to be covered.
To find how long that will take, we can simply divide the distance by the rate.
We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.
So, it will take another 1.67 hours to complete the hike.
So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.
Option 2) Hiking 4mph the entire way.
The total distance is 15 miles.
If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.
So: 15/4=3.75.
Therefore, it will take 3.75 hours to hike the entire distance going 4mph.
Answer:
1) 11/3 hours or about 3.67 hours.
2) 3.75 hours.
Step-by-step explanation:
Let’s determine the time it will take for Bob to hike for each of the options.
Option 1) Hiking 5mph for 2 hours, then 3mph.
The total distance is 15 miles.
If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.
Therefore, 15-10 or 5 miles still needs to be covered.
To find how long that will take, we can simply divide the distance by the rate.
We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.
So, it will take another 1.67 hours to complete the hike.
So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.
Option 2) Hiking 4mph the entire way.
The total distance is 15 miles.
If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.
So: 15/4=3.75.
Therefore, it will take 3.75 hours to hike the entire distance going 4mph.
Step-by-step explanation:
Hello, can someone help me with this? Thank you.
Answer:
(x, y) → (2x - 2, 2y - 1)
Step-by-step explanation:
The original length from Point E to Point G was 2. The length after the figure was transformed is 4. This means that the value of x was multiplied by 2 because 2(the original value) multiplied by 2 equals 4(the new value.)
After the x value is doubled, Point E is found at x = 0 when the transformed Point E is at x = -2. This tells us that the x value has to decrease by 2 after it is doubled.
The original length from Point F to Point H was 4. The length after the figure was transformed is 8. This means that the y value doubled in value, which is the same as saying it was multiplied by 2.
After you double the y value, Point F is found at y = 9, but the fully transformed figure's Point F is found at y = 8. This means that after the y value is doubled it should decrease by 1.
I hope this helps, and let me know if you have any other questions :)
PLEASE HELP
find the first 5 terms in the sequence
A) 6, 12, 24, 48, 96
B)1, 2, 3, 4, 5
C)6, 7, 8, 9, 10
D) 6, 11, 21, 41, 81
Answer:
The first five terms are 6, 11, 21, 41, 81 ⇒ D
Step-by-step explanation:
∵ The rule of the sequence is a(1) = 6; a(n) = 2 a(n - 1) - 1 for n ≥ 2
∴ The first term of the sequence is 6
∴ The value of n represents the position of the term
∵ n = 2
∴ a (n - 1) = a(2 - 1) = a1
∵ a1 = 6
→ Substitute a1 by 6
∴ a(2) = 2(6) - 1 = 12 - 1
∴ a(2) = 11
∵ n = 3
∴ a (n - 1) = a(3 - 1) = a2
∵ a2 = 11
→ Substitute a2 by 11
∴ a(3) = 2(11) - 1 = 22 - 1
∴ a(3) = 21
∵ n = 4
∴ a (n - 1) = a(4 - 1) = a3
∵ a3 = 21
→ Substitute a3 by 21
∴ a(4) = 2(21) - 1 = 42 - 1
∴ a(4) = 41
∵ n = 5
∴ a (n - 1) = a(5 - 1) = a4
∵ a4 = 41
→ Substitute a4 by 41
∴ a(5) = 2(41) - 1 = 82 - 1
∴ a(5) = 81
∴ The first five terms are 6, 11, 21, 41, 81
Using the number line above, write the integer that each point represents
Pls answer number 3
Answer:
E= -6
D= 4
B =- 4
Step-by-step explanation:
Answer:
The answers are:
E: -6
D: +4
B: -4
At the end of November, Mrs. Gold had
a balance of $426.83 in her checking
account. Since then, she has written
two checks for $163.49 and $16.85
and made a deposit of $195.00. What
is the balance in Mrs. Gold's checking
account now?
Answer:
441.49
Step-by-step explanation
First subtract the checks: 426.83-163.49-16.85=246.49
Next add 246.49+195=441.49
441.49
As part of a survey, 300 girls were asked to name their favorite sport. Theresults showed that 12 of the girls named bowling as their favorite sport. Whatpercentage of the girls in the survey named bowling as their favorite sport?
Answer:
4%
Step-by-step explanation:
12/300
hope this helps
-2x^4 + 8r^3 factor.
Bill is driving with his family for his summer vacation. His total trip is 425 miles. His family has 205 miles to go after stopping for dinner. Which equation should be used to find the distance Bill’s family drove before dinner?
A. 425 = x +205
B. 425 = x - 205
C. 425 = x/205
D. 425 = 205x
Answer:
the answer is b
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
MARK YOU BRAILIST PLEASE ANSWER CORRECTLY AND SHOW YOUR WORK Which process was used to obtain the equation shown in Step 2?
Step 1: y/3 - 1/4 = 5
Step 2: 4y - 3 = 60
A.added to both sides of the equation
B.added 5 to both sides of the equation
C.multiplied both sides of the equation by 12
D.divided both sides of the equation by 12
Answer:
C
Step-by-step explanation:
Multiply by 12 on both sides.
Start with step one
y/3 - 1/4 = 5 Multiply both sides by 12
12(y/3 - 1/4) = 5*12
12*y/3 - 12 * 1/4 = 60
3 goes into 12 four times
4 goes into 12 three times. In both cases you are cancelling.
4y - 3 = 60
Uh, I need help with this question (10 points)
Answer:
2 cups
Step-by-step explanation:
if x equal 2 and y eqauls -9 and u ahve to times it what will it be
Answer:
hey im on here
Step-by-step explanation:
What appears to be the relationship between Fand C in the table below? What is the correct graph of the data?
Answer:
A
THe answers arent really shown but A should be correct
The picture doesn't show the graph although what the line should look like is a line like so:
It should point like this: /
It should pass through (0, 0) and the rest of the points in the chart
Step-by-step explanation:
What's the product of 6 x 6 x 6 x 6 x 6 in exponential form?
Answer: Exponent Form: 6 ^5
stander form: 6 *6*6*6*6=7776
Step-by-step explanation:
Solve this equation algebraically!!
Answer:
See Explanation
Step-by-step explanation:
[tex]1 - \sqrt{x} \neq \: 0 \\ \\ \therefore \: 1 \neq \sqrt{x} \\ \\ {1}^{2} \neq ({ \sqrt{x}) }^{2} \\ \\ 1 \neq \: x \\ [/tex]
Hence, x will take values other than 1.
the following statement are true about complex fraction,except?
Step-by-step explanation:
A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A common, vulgar, or simple fraction (examples: {\displaystyle {\tfrac {1}{2}}}{\tfrac {1}{2}} and {\displaystyle {\tfrac {17}{3}}}{\displaystyle {\tfrac {17}{3}}}) consists of a numerator displayed above a line (or before a slash), and a non-zero denominator, displayed below (or after) that line. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.
A home improvement store advertises 60 square feet of flooring for $287.00, which includes an $80.00 installation fee. Write an equation to represent the cost of one square foot of flooring
Given :
A home improvement store advertises 60 square feet of flooring for $287.00, which includes an $80.00 installation fee.
To Find :
Write an equation to represent the cost of one square foot of flooring.
Solution :
Fee of one square feet, p = $287/60 = $4.783 .
So, slope of equation will be 4.783 .
Price of installation is $80 dollar.
Therefore, equation to represent the cost of one square foot of flooring is :
C = 4.783n + 80
Here, C is total cost and n is number of square feet.
Hence, this is the required solution.
The first four terms of a sequence are shown below:
18, 25, 32, 39, ...
What is the first term and the common difference?
Answer:
The first term would be 18 ig, and then the common differnce would be 7.
Step-by-step explanation:
The rule to the sequence is that they are adding by 7 every term.
17-5(2x-9)=-(-6x+10)=
29,17,38,71,35,63,24. Two numbers that add up to 100. Two numbers which differ by 46, a multiple of 9
Consider f(x)=2|x|
What is the rate of change over the interval 0≤x≤4?
How is the rate of change over this interval related to the form of the function?
Answer:
Please check the explanation.
Step-by-step explanation:
As we know that the average rate of change of f(x) in the closed
interval [a, b] is
[tex]\frac{f\left(b\right)-f\left(a\right)}{b-a}[/tex]
Given the interval [a, b] = [0, 4]
as
[tex]f(x)=2|x|[/tex]
[tex]f(b)=f(2)=2\cdot \:4[/tex] ∵ [tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]
[tex]= 8[/tex]
[tex]f(x)=2|x|[/tex]
[tex]f(a)=f(0)=2\cdot \:0[/tex] ∵ [tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]
[tex]= 0[/tex]
so the average rate of change :
[tex]\frac{f\left(b\right)-f\left(a\right)}{b-a}=\frac{8-0}{4-0}[/tex]
[tex]=\frac{8}{4}[/tex]
[tex]= 2[/tex]
We know that a rate of change basically indicates how an output quantity changes relative to the change in the input quantity. Here, it is clear the value of y increase with the increase of input.
DUE AT TWELVE.Help it's savvas math pleaseeeeeee
Answer:
65%
Step-by-step explanation:
What I did was 2900/2 is 1450 which is half and than I subtract 1450 by 1,885 giving me 435 more people. I honestly, guess 65% but I also checked it on the calculator 2900 - 65% give 1,885. So, 65% is the correct answer.