Answers
Answer:
[tex]=-1\frac{5}{9}[/tex]
Step-by-step explanation:
We want to write:
[tex]-1.\bar{5}[/tex]
As a mixed number in the simplest form.
We can use the following algebraic trick. First, we can ignore the negative and add it on the very end. So, we have the number:
[tex]1.55555...[/tex]
Let's let this equal to n. So:
[tex]1.55555...=n[/tex]
Now, we will multiply n by 10^x for the number of repeating digits x.
There is only one digit repeating (the 5). So, we will multiply both sides by 10^1 or just 10. This yields:
[tex]15.55555...=10n[/tex]
Now, we will subtract n from both sides. This yields:
[tex]15.5555...-n=10n-n[/tex]
On the right, we will just get 9n.
However, let's replace n with 1.5555... on the left. This yields:
[tex]15.5555...-1.5555...=9n[/tex]
All of the repeatings 5s will cancel. 15-1 is 14. So:
[tex]14=9n[/tex]
Now, divide both sides by 9. So, our n is:
[tex]n=\frac{14}{9}[/tex]
And since we originally set n to be 1.5 repeating, this is equivalent to:
[tex]n=1.\bar{5}=\frac{14}{9}[/tex]
And now, we can add back the negative:
[tex]-1.\bar{5}=-\frac{14}{9}[/tex]
We can rewrite this as:
[tex]=-(\frac{9}{9}+\frac{5}{9})[/tex]
So, as a mixed fraction, our decimal is:
[tex]=-1\frac{5}{9}[/tex]
And we're done!
Related Questions
4x+8=7.2+5x solve for x
Answers
Answer:
[tex]\boxed {x = 0.8}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]4x + 8 = 7.2 + 5x[/tex]
-Take [tex]5x[/tex] and subtract it from [tex]4x[/tex]:
[tex]4x + 8 - 5x = 7.2 + 5x - 5x[/tex]
[tex]-x + 8 = 7.2[/tex]
-Subtract [tex]8[/tex] to both sides:
[tex]-x + 8 - 8 = 7.2 - 8[/tex]
[tex]-x = -0.8[/tex]
-Divide both sides by [tex]-1[/tex]:
[tex]\frac{-x}{-1} = \frac{-0.8}{-1}[/tex]
[tex]\boxed {x = 0.8}[/tex]
So, the value of [tex]x[/tex] is [tex]0.8[/tex].
The solution of the given expression is x = 0.8.
We are given that;
The expression 4x+8=7.2+5x
Now,
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
To solve for x, we can use the following steps:
- Subtract 4x from both sides: 4x + 8 = 7.2 + 5x - 4x - 4x
- Simplify: 8 = 7.2 + x
- Subtract 7.2 from both sides: 8 - 7.2 = 7.2 + x - 7.2
- Simplify: 0.8 = x
Therefore, by expression the answer will be x = 0.8.
To know more about an expression follow;
brainly.com/question/19876186
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PLEASE IF YOU CAN HELP ME!!
Answers
Answer: y=-1/4x+3
Step-by-step explanation:
==================================================
Explanation:
y = mx+b is the general form of slope intercept equations
m is the slope, b is the y intercept
The y intercept is where the graph crosses the y axis. In this case it is at (0,3) so b = 3 is the y intercept
--------------------
The slope can be found through using the slope formula
m = (y2-y1)/(x2-x1)
m = (2-3)/(4-0)
m = -1/4
Or you could note that to go from (0,3) to (4,2) we must go down 1 and over to the right 4.
slope = -1/4 = rise/run
rise = -1 means we go down 1
run = 4 means we move to the right 4
--------------------
Since m = -1/4 and b = 3, we go from y = mx+b to y = (-1/4)x+3
Tara has been saving quarters for the past few months. If her piggy bank contains 100 quarters in addition to the $4.83 her mother gives her, how much money does she have?
Answers
Answer:
100 quarters is equal to $25.00
$25.00 plus $4.83 equals $29.38
Answer:
$29.83
Step-by-step explanation:
100 / 4 = 25
25 + 4.83 = 29.83
Find the percent decrease. Round to the nearest percent.
From 94°F to 70°F
Answers
Answer:
25%
Step-by-step explanation:
94°F-100%
70°F-x%
x%=70°F*100%/94°F=74.5%~75%
100%-75%=25%
Which trigonometric expressions equal Negative one-half? Check all that apply.
cos(120°)
Sine (StartFraction 7 pi Over 6 EndFraction)
sin(–120°)
Cosine (StartFraction 7 pi Over 6 EndFraction)
Cosine (negative StartFraction 10 pi Over 3 EndFraction)
Answers
Answer:
Its A B E
Step-by-step explanation:
Got it on Edge
Is the sequence an= 4 + 2n arithmetic?
Answers
Answer:
Sorry am not answer that because am desperate for points so am just going to get some points
Use the figure to the right to find the value of PT. T is the midpoint of PQ.
PT= 3x + 7 and TQ = 6x-5
PT=N(Simplify your answer.)
Answers
Answer:
30 units
Step-by-step explanation:
PT=TQ
3x+9=5x-5
3x-5x=-5-9
-2x=-14
x=7
Putting value of x in PT above
PT=3x+9=3x7+9
PT=30 units
Lisa says 12 3 = 9 Kay says 12 3 = 4 Who is correct? Why?
Answers
What is the prime factorization of 150?
2 × 3 × 5
22 × 3 × 5
2 × 32 × 5
2 × 3 × 52
Answers
Answer:
2x3x5x5
Step-by-step explanation:
150=2,75,5,15,3,5
2,3,5,5
Answer:
2 x 3 x 5 x 5
Step-by-step explanation:
Slope from 3,8 4,2 I WILL MARK BRAINLIEST
Answers
Answer:
what about it
Step-by-step explanation:
Answer:
[0,9] [8,6] [-2,-4] [-8,-5] [1,2] [3,4]
Step-by-step explanation:
whats the answer i cant find out please help im failing meth i mean math
Answers
Pls help I didn’t get this one
Answers
Answer:
900
Step-by-step explanation:
( n − 2 ) × 180
n=sides
( 7-2)x180= 900
Please help!
Jill's father is a pilot. The airplane he flies can carry 396 passengers. If each passenger is allowed to take 60 pounds of luggage, how many total pounds can the plane carry in luggage?
Answers
Answer:
23760 pounds
Step-by-step explanation:
396 passengers
60 pounds for each passenger
total pounds plane can carry=passengers × pounds
= 396×60
= 23760 pounds
....
Please help I’ll give brainiest!!
Answers
4.8 is 10 times as much as _____?
Answers
Answer:
0.48
Step-by-step explanation:
4.8 / 10 = 0.48
what equation is equivalent to x + 5 =12
Answers
Answer:
x=7
Step-by-step explanation:
subtract 5 from both sides
5-12= 7
so x=7
i will give you brainliest for the best answer! <(^-^<) thanks <3
it's not math, it's science :)
answer the best u can
Answers
Answer:
no. 1
B. Describe the presicion of these results
no. 2
a. Describe the accuracy of these results
PLZ HELP ME ASAP! ITS DUE TODAY!! I WILL MARK YOU BRAINLIEST IF YOU ANSWER RIGHT!! What are the new vertices for A, B and C?
Answers
Answer:
A'(1,1) , B'(5,3), C'(2,5)
Explanation:
when you reflect anything over the line y = x, that is the same thing as taking the inverse(you swap the x and y values)
Paul was going to sell all of his stamp collection (s) to buy a video game. After selling half of them he changed his mind. He then bought ten more. How many did he start with if he now has 22?
Answers
Answer:
Paul had 24
Step-by-step explanation:
He has 22 now. Subtract the 10 he just bought for 12, which was half of his original collection.
22-10=12
12×2=24
Is it often said that when European explorers came to the “new world”
Answers
Answer:
Yes it actually was very often called The New world when european exploreres came to the americas.
Step-by-step explanation:
can someone please figure out the first one, I already got the second one. I need help with the first one.
Thank you :)
Answers
Answer:
∠DBG= 109°
Step-by-step explanation:
Please see the attached picture for the full solution.
Answer:
DBG=109
Step-by-step explanation:
Order the numbers from least to greatest: 7, 18, 12, -16, -11, 1 *
Answers
Answer:
-16, -11, 1, 8, 12, 18
Answer:
-16,-11,1,7,12,18
Step-by-step explanation:
Negative numbers are smaller the farther away they are from zero. Positive numbers get bigger the farther away from zero they go.
Write the equation of the line in slope-intercept form that is parallel to 2x + 5y = 35 and passing through the point (-10, 12 ).
Answers
Answer:
y=- 2/5x+7
Step-by-step explanation:
다.
1
Is it a function?
Answers
btw a function is a a expression or relationship involving one or more variables as u can see it only has 1 hope it helps im not smart
5x-4y=10
Solve for y plz Help
Answers
what is the next term of 500, 100, 20
Answers
Answer: i believe it would be 5 if not i’m sorry.
Step-by-step explanation:
The temperature dropped 24 degrees in 4 hours. Which integer represents the change per hour?
6
-6
20
-20
Answers
Answer:
-6
Step-by-step explanation:
24/4 is 6 but the tempature decreased due to that we put a negative symbol in front.
19(-16)
helpppppppppppppppp
Answers
Carly wants to buy some fish to keep in her room. At a local pet store customers can pay
$12.50 for a fish tank and $0.20 for each fish they purchase.
a. What is the slope or rate of change in the situation described? Explain.
Answers
Answer:
12.50
Step-by-step explanation:
Im not completely sure on this but the answer is 12.50 because it states that the price for a fish tank is $12.50. So im pretty sure that the intercept is that.
The Slope here is $0.20 which represent cost of each fish.
What is Rate of Change?A rate of change is a rate that describes how one quantity changes in relation to another quantity.
Given that, Carly wants to buy some fish to keep in her room. At a local pet store, customers can pay $12.50 for a fish tank and $0.20 for each fish she purchased,
Let total cost be C, and total number of fish be n
According to question,
C = 12.50 + 0.20n
Hence, the slope 0.20 represents the change in total cost as the number of purchase of fish changes.
For more references on Rate of Change, click;
https://brainly.com/question/12786410
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Which list shows the integers in ascending order?
A. 5, 4, -5, -4, 0
B. 0, 4, 5, -4, -5
C. -4, -5, 0, 4, 5
D. -5, -4, 0, 4, 5
Answers
Answer:
D
Step-by-step explanation:
Ascending means they are moving upwards.