Answer:
2/11
Step-by-step explanation:
Let's say our fraction is x = 0.1818181818...
The trick is to multiply x by 10²=100 in this case, since there are two repeating digits, and then subtract the original x.
So, in fact you are subtracting 0.181818 from 18.181818 which effectively cancels the entire bit after the decimal point.
You get:
100x - x = 18
Which you can solve:
99x = 18
x = 18/99 = 2/11
Jason has 144 feet of material to build a fence around a rectangular garden on his property. If the width of the fence must be 9 feet, what is the length of the fence in yards if he uses all 144 feet of material
Answer:
Length = 63 feet
Step-by-step explanation:
concept used:
perimeter of rectangle = 2( length + width)
____________________________________________
Given that Jason has 144 feet of material and all is used in building fence.
It means that perimeter of fence is 144 feet.
2. Width of fence = 9 feet
let the length be x
perimeter of rectangle = 2( length + width)
then perimeter of fence will be = 2(9+x)
As given above perimeter of fence is 144 feet.
2(9+x) = 144
=> 9 + x = 144/2 = 72
=> x = 72 - 9 = 63
Length = 63 feet.
Answer:
21 yards
took the test :D
What is the answer to all these questions? I need help asap
Answer:
1) Slope= 2, y-intercept=4, equation: y=2x+4
2.Slope= -10 , y-intercept= 60 , equation: y=-10x+60
Step-by-step explanation:
Slope formula: [tex]\frac{y_{2}-y_1 }{x_2-x_1}[/tex]
1. Plug in two sets of cordinates into the equation
(0,2) (2,8)
2. Solve, slope =2
3. Plug in one pair into the point slope formula
Point slope formula: [tex]y-y_1=slope(x-x_1)[/tex]
4. y-8=2(x-2)
5.y-8=2x-4
6. y=2x+4
Do the same for the other equation
Answer:
1: slope
2: y-intercept
1a: slope= 3
1b: 2
y=3x+2
2a: slope= -10
2b: 60
y= -10x+60
Step-by-step explanation:
-17 + -68+(+56) -5333+620
Answer:
-4742
Step-by-step explanation:
-17 + -68+(+56) -5333+620
-5418+58+620
-5418+676
-4742
:) Hope this helped
Answer:
-4742
steps :
-17 - 68 = -85
-85 + 56 = 29
29-5333= -5304
-5304+620 = -4742
Q:Evaluate -3(-10)
Choices:
1) 13
2) -13
3) -30
4) 30
Answer:
4. 30
Step-by-step explanation:
-3(-10)
=3×10
= 30
Square number between 40 and 48
Elizabeth mode 12 lawns in four hours what is her rate of mowing of mowing in law per hour
Answer
seventytwo
Step-by-step explanation:
there 60 minute in hour+12+4 becayse 12 lans and 4 hors (correct me ig im wrong)
Tiana has already taken 1 page of notes on her own, and she will take 1 page during each hour of class. In all, how many hours will Tiana have to spend in class before she will have a total of 43 pages of notes in her notebook?
Answer:
42 Hours.
Step-by-step explanation:
As an equation where y is the total pages and x is hours of class:
y=1+1x since she started with 1 page and does 1 page per hour.
Setting the total pages she needs as 43 (y=43) we get:
43=1+1x
Subtract one on both sides
42=1x
The 1 doesn't need to be written so
x=42
Therefore, it'll take her 42 hours to write all those notes.
2, 10, 50, 250, ...
Write a recursive formula for
Answer:
[tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex]
Step-by-step explanation:
The sequence has a common ratio r between consecutive terms, that is
r = 10 ÷ 2 = 50 ÷ 10 = 250 ÷ 50 = 5
Thus the sequence is geometric with recursive formula
[tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex]
What is the solution set of the quadratic equation (4x-8)^2 = 64
x = 4 or x = 0
Hope that helps!
Find the 5th term of (m + 2)^9
Answer:
=2016x5
Step-by-step explanation:
(x+y)n=∞∑r=0~nCrxn−ryr is given by
Tr+1=~nCrxn−ryr.
Hence T5=T4+1=~9C4x9−4⋅24
=9!(9−4)!4!⋅x5⋅16
=2016x5
What point he plot to show how far he runs in 8 minutes and 12 minutes?
Answer:
4
Step-by-step explanation:
because you subtract it.
What is the absolute value of |5+8a|=53?
Answer:
a = 6 or a = -58/8
Step-by-step explanation:
I think you meant to ask us to solve for a.
There are two cases to solve for:
5 + 8a = 53 or -(5 + 8a) = 53
8a = 48 or 5 + 8a = -53
a = 6 or 8a = -58
a = 6 or a = -58/8
Please help me!I kinda bad at math:(((
6) Suppose the length of your running shoe is 28.4 cm,
a) How many of your shoes would it take (heel to toe) to make 1 meter? (round to the nearest tenth)
b) How many shoes would it take to make 1 kilometer? (round to the nearest whole number)
Answer:
About 4.
Step-by-step explanation:
28.4 * 4 is equal to 113. 6, so about four shoes would be equal to a meter, since a meter is equal to 100cm.
write the equation of a line
Answer:
Answer: Option D.
Step-by-step explanation:
Hey there!!
Here, To find the equation of a st.line passing through point (3,1) is :
[tex](y - 1) = m1(x - 3)[/tex]
It is the first equation.
Given, Another equation is:
[tex]y = \frac{2}{3} x + 1[/tex]
It is 2nd equation.
Comparing the 2nd equation with y = mx+c we get,
Slope (m2) = 2/3.
As per the condition of parallel lines,
m1 = m2 = 2/3.
Putting, the value of m1 in equation 1st we get,
[tex](y - 1) = \frac{2}{3} (x - 3)[/tex]
or, 3 (y-1) = 2(x-3)
or, 3y - 3 = 2x - 6
[tex]y = \frac{2x - 6 + 3}{3} [/tex]
[tex]y = \frac{2}{3} x - 1[/tex]
Diving-3/3 = -1.
Therefore, y = 2/3 x - 1 is the required equation.
Hope it helps.
Mr. rose takes $777.68 out of his bank account. The bank account has $10,364.45 left at the end of the day. How much money did Mr. rose bank account start with that day?
Answer: $11,142.13
Step-by-step explanation:
You add 777.68 to 10,364.45.
Answer:
11,142.13
Step-by-step explanation:
You add those 2 number
I really need help with this math problem. I hope anyone can answer this
square root of 2025 by prime factorisation
I can give you the easy answer of 45, but let's use prime factorization.
What number looks like it divides into 2025 easily?
Your first answer was probably 5.
2025 divided by 5 is 405.
What number looks like it divides into 405 easily?
It was probably 5 again.
405 divided by 5 is 81.
Now hopefully you know that the square root of 81 is 9.
We can bring these all out of the radical.
[tex]\sqrt{2025}[/tex]
[tex](9*5)\sqrt{1}[/tex]
We know that [tex]\sqrt{1}=1[/tex], so we can simplify this whole expression down to the outside terms, which multiply to 45.
Answer:
45
Step-by-step explanation:
Working shown in the picture:)
Picture pinned, need answers ASAP! Trying to give out “brainliest”
Answer:
The answer is 8.50
Step-by-step explanation:
If you multiply 8.5 by 2 3/5 the aswer will be 22.1
⚠️I'm sorry if i'm wrong⚠️
in a fraction with a denominator of 15, which value could a numerator be to produce a repeating decimal???? A. 15 B. 9 C. 11 D. 12
Answer:c.11
Step-by-step explanation:
_ - 72 = 62 - 53
Fill in the missing number
find the vertex of y=x^2-6x+1 A. ( 1 , 5 ) B. ( 4 , 1 ) C. ( 2 , -3 ) D. ( 3 , -8)
[tex]h=\frac{-b}{2a}[/tex]
[tex]k=f(h)[/tex]
[tex]h=\frac{6}{2}[/tex]
[tex]h=3[/tex]
[tex]k=f(3)[/tex]
[tex]f(3)=9-18+1[/tex]
[tex]f(3)=-8[/tex]
The vertex is [tex](3,-8)[/tex]
Hope this helps.
頑張って!
Two angles form a linear pair. the measure of one angles is 15° less than 2/3 the measure of the other angle. Write and solve an algebraic equation to find the measure of each angle. I need help! someone plz help me!
Answer:
First angle = 117 degrees.
Second angle = 63 degrees.
Step-by-step explanation:
If two angles are a linear pair, then their measures must add up to 180°. A straight line has a measure of 180°.
If we let one angle = x, then the other angle is (2/3)x - 15
Now we can form the following equation:
x + (2/3)x - 15 = 180
(5/3)x = 195
5x = 585
x = 117
Therefore, one angle is 117 degrees, and the other angle is (2/3 * 117) - 15 = 78 - 15 = 63 degrees.
6. Give the slope of each line. Also, state if the lines are parallel (yes or no).
Hint: rewrite to slope intercept form.
AB: 2y + 2x = 8 and CD: y + x = 2
Slope of line AB:
Slope of line CD:
Are the lines parallel (yes or no):
Step-by-step explanation:
Hey there!!
Let me simply clear you.
Given,
AB: 2y+2x =8.
Let's take the equation in slope intercept form.
2y = -2x +8
[tex]y = \frac{ - 2x}{2} + \frac{8}{2} [/tex]
[tex]y = - 1x + 4[/tex]
Comparing the equation with y= mx+c, we get;
Therefore, slope of AB is -1.
Now,
Again, the another equation is,
y + x = 2
y = -x+2
Comparing, the equation with y = mx + c.
Therefore, slope of CD = -1
For parallel lines, m1=m2.
slope of AB (m1) = -1
slope of CD(m2)= -1
As m1= m2 {True}.
Therefore, They are parallel to eachother.
Hope it helps...
There are many cell phone case options on the market. This discretionary item comes in a variety of colors,materials, thicknesses, protection levels, and more. Amit runs a small buisness that sells computer and phone case accessories. he has kept the following inventory of cell phone case sales for similar model phones:$19.99, $8.99, $35.99, $49.99, $49.99, $39.99, $99.99, $79.99, $35.99, $19.99, $49.99, $29.99, $49.99, $59.99, $35.99, $49.99, $19.99, $8.99, $29.99, $35.99. Using sigma notation calculate the mean cell phone case price. round your answer to the nearest cent. construct a frequency distribution for the data.use the frequency distribution to determine the mean.
Answer:
$40.59
$40.59
Step-by-step explanation:
Given the data below :
$19.99, $8.99, $35.99, $49.99, $49.99, $39.99, $99.99, $79.99, $35.99, $19.99, $49.99, $29.99, $49.99, $59.99, $35.99, $49.99, $19.99, $8.99, $29.99, $35.99
The mean of the sample data :
Σ(X) / n =
Σ(X) = $811.8
n = 20
Σ(X) / n = $811.8 / 20
Mean = $40.59
Frequency distribution:
Interval_____f_______fx
8.99_______2______ 17.98
19.99______3_______59.97
29.99______2______59.98
35.99______4______143.96
39.99______1______39.99
49.99______5_____249.95
59.99______1______59.99
79.99______1______79.99
99.99______1______99. 99
Total______20______811.8
Mean = Σfx / Σf
Mean = 811.8 / 20
Mean = 40.59
A toy rental store charges a $100 anual fee, then $5 for each toy you rent. What is the average cost per toy if you rent 20 toys in a year?
Answer:
the answers 200
Step-by-step explanation:
Answer:
200$
Step-by-step explanation:
for 1 year it will charge 100$ and if you rent 20 toys in that year the toys will cost 100$ as well so if you add 100+100 you get 200 so the answer is 200$
Brian is traveling at a rate of 72.0 meters/second. What speed would he be traveling in miles/hour?
Answer:
we know that, 1miles/hour = 0.45m/s
or, 1meters/second = 1/0.45
1m/s = 2.22222222222
Step-by-step explanation:
Then,
72.0 meters/second = 72.0*2.22222222222
=160 miles per hour.
Brad and Nora both went bowling last weekend, but not together. Brad went during open bowling time, paying $2 for shoe rental and $3 per hour. Nora went on family night, when each hour was $1 and shoe rental was $6. As it turned out, they played for the same number of hours and spent the same amount. How many hours did each one bowl?
Solve -5=3/4x-2 please solve ???
Answer:
x=−4
Step-by-step explanation:
i hope this help you
John makes and sells cookies. He made a profit of 58 dollars last week. The next week he decided to donate cookies to a local charity. His profit (earnings) for that week is represented by -27 since he didn't earn any money. Write a subtraction and addition expression to represent John's profit for the two weeks combined.
Answer:
Addition expression: 58+(-27)
Subtraction expression: 58-27