9514 1404 393
Answer:
0.666... = 6/9 = 2/3
Step-by-step explanation:
The repeating decimal 0.666... can be turned to a fraction as follows.
Let x represent the value of the number. Then 10x is ...
10x = 10(0.666...) = 6.666...
Subtracting x gives ...
10x -x = 6.666... - 0.666... = 6.000...
9x = 6
Dividing by 9 and simplifying, we have ...
x = 6/9 = 2/3
__
It can be worthwhile to remember that 1/9 = 0.111... repeating.
Then 3/9 = 1/3 = 3(0.111...) = 0.333... repeating
and 6/9 = 2/3 = 6(0.111...) = 0.666... repeating
Most calculators will round the last digit of 2/3 so that it is a 7. So, you may see ...
2 ÷ 3 = 0.6666667 or 0.66666666667
or something similar, depending on your calculator. It is up to you to recognize this as probably a representation of 2/3. Some calculators will display the number as a fraction, so you don't have to guess.
_____
Additional comment
A similar method is used to convert repeating decimals of other lengths to fractions. In general you multiply by 10^n, where n is the number of repeating digits. Then proceed as above: subtract x, divide by the coefficient of x. You will find you are always dividing by a number that has as many 9's as there are repeating digits.
Solve for x.
Please help !
Answer:
x = 37 1/2x = 2Step-by-step explanation:
Parallel lines divide transversals proportionally. I like to write the proportions so the variable is in the numerator. Then the solution is obtained by multiplying by the denominator of the variable term.
1. x/20 = (46 -16)/16
x = 20(30/16)
x = 37.5
__
2. (x +4)/13.5 = 4/9
x +4 = 13.5(4/9) = 6
x = 6 -4
x = 2
What is the surface area for this design?
Answer:
Surface Area = 157 in^2
Step-by-step explanation:
Surface area is the area of each side added together.
Front = Trapezoid = b1 + b2 * h 5 + 9 * 5 = 27.5
2 2
Back = Trapezoid = b1 + b2 * h 5 + 9 * 5 = 27.5 27.5
2 2 27.5
Right = Rectangle = l * w 6.4 * 5 = 32 32
Left = Rectangle = l * w 5 * 5 = 25 25
Bottom = Rectangle = l * w 9 * 5 = 45 45
Top = Rectangle = l * w 5 * 5 = 25 25
157 in^2
Finding which number supports the idea that the rational numbers are dense in the real numbers?
Answer:
an integer between –11 and –10
a whole number between 1 and 2
a terminating decimal between –3.14 and –3.15
Step-by-step explanation:
PLz help I will give brainliest!!!!! and extra points
Hey there!
The answer to your question is [tex]95.55[/tex]
Formulas:
Area of semi-circle = [tex]\frac{1}{2}(\pi r^2)[/tex]
Area of rectangle = [tex]lw[/tex]
Area of triangle = [tex]\frac{bh}{2}[/tex]
Now solve:
semi-circle
[tex]\frac{1}{2}\pi3^2[/tex]
[tex]\frac{1}{2}\pi9[/tex]
[tex]4.5\pi[/tex]
(We will use 3.14 as approx. for pi)
[tex]4.5 * 3.14\\23.55[/tex]
rectangle
[tex]10(6)\\60[/tex]
triangle
[tex]\frac{4(6)}{2}[/tex]
[tex]\frac{24}{2} \\12[/tex]
Now add them all together:
[tex]23.55+60+12\\95.55[/tex]
Have a terrificly amazing day!
HELP ASAP 10) Determine the volume; just answer without the units
B
9.5 in.
3.75 in.
8 in.
Answer:
Volume is 285
Step-by-step explanation:
We start by calculating the area of the base
Mathematically, we have a rectangle as the base
So, the area of the base will be;
3.75 * 8 = 30
We now multiply this by the height to get the volume
we have this as:
30 * 9.5 = 285
I need help with this question
Answer:
it's 324
Step-by-step explanation:
divide 72 by 4 to get one side, then multiply the side by itself, 18 times 18
Juana baked 150 cookies for the bake sale and ate 10% of them. How many cookies did
Juana eat?
Answer:
15
Step-by-step explanation:
[tex]\frac{150x10}{100}[/tex]=[tex]\frac{1500}{100}[/tex]=15
We have 6 face red cards (JQK x 2) and 16 black cards, so a total of 22 cards.The red face cards and the black cards numbered 2-9 are put into a bag. Four cardsare drawn at random without replacement. Find the following probabilities:
a) All 4 cards are red
b) 2 cards are red and two cards are black
c) At least one of the red cards is red.
d) All four cards are black
Answer:
I dont know
Step-by-step explanation:
only doing it for points
PLEASEEEEE HELPPP!
Subtract and simplify (2y + 34.8m + 3.8) - (14.6m + 15.6 + 2y)
Answer:
20.2 m − 11.8
Step-by-step explanation:
Answer:
20.2m-11.8
- hope it helps
The measure of the sides of a triangle are 43, 72, and 91. Use the Pythagorean theorem to classify the triangles as acute, obtuse or right.
Answer:
i tjink its obtuse im not quite sure though im so sorty if its wrong.
Dustin Ambrose is married and claims 3 allowances. His gross weekly pay is $628.00. Each week he pays federal, Social Security, and Medicare taxes, $52.00 for medical insurance, and $23.50 toward his retirement fund.
Answer:
еиниемксцчуиетнмкчеимусцсуиеи
Prove that
cos 9°+sin 9°/cos9°-sin9° =cot 36°
plzz fasstttt i need to writw this!!!!!!!!!
Answer:
Step-by-step explanation:
LHS = (Cos9° + Sin9°) / (Cos9° - Sin9°)
Divide by Numerator and Denominator by Cos9°
LHS = (1 + Tan9°) / (1 - Tan9°)
= (Tan 45° + Tan 9°) / (1 - Tan 45° * Tan 9°)
= Tan (45°+9°)
= Tan 54°
= Cot 36°
hope it helps :)
Write down the next two terms in this number pattern
2, 5, 9, 14, 20,0
Answer:
+3,+4,+5,+6,-20
Step-by-step explanation:
its:
2+3=5
5+4=9
9+5=14
14+6=20
20- 20=0
i believe so
Plz help me get the right answer
What is the circumference of the following circle?
diameter=9cm
Answer:
The circumference of the following circle is 9π (around 28.274)
Step-by-step explanation:
The circumference can be found by using the following formula, where d is the diameter of the circle...
dπ = 9π ≈ 28.274
PLEASE HELP THIS IS DUE TODAY!!
Answer:
254 in
Step-by-step explanation:
1 yard = 36 in
7 yards = 36 (7)
7 yards = 252
add 2
254 in
:)
Answer: 254 inches
Step-by-step explanation:
1 yard= 36 inches x 7 (yards) + 2 inches= 254 inches
Find the missing length of the triangle.
A = 3.4 cm
C = 1.6 cm
B = ?
Answer: b = 3
Step-by-step explanation:
1. a^2 + b^2 = c^2
2. 1.6^2 + b^2 = 3.4^2
3. 2.56 + b^2 = 11.56
4. 11.56-2.56 = b^2
5. 9 = b^2
6. 3 = b
graph the equation...
0.5s+4a=15
Answer: look at the picture if you want me to solve for s or a here
Step-by-step explanation: hope this help
Mark went fishing on four Saturdays.
Week 1
Week 2
Week 3
Week 4
Number
of fish caught
4
1
6
3
Time fishing
2.5 hours
1.5 hours
5 hours
2.5 hours
Mean weight
of fish caught
1.2 kg
2.3 kg
0.8 kg
1.9 kg
Mark says,
"One of the fish I caught weighed 5 kg."
In which week did this happen?
(2 marks)
O Week 1
O Week 2
O Week 3
O Week 4
Answer:
Week 4
Step-by-step explanation:
Week 1 : 4*1.2 = 4.8kg Impossible
Week 2 : 1*2.3 = 2.3kg Impossible
Week 3 : .8*6 = 4.8kg Impossible
Week 4 : 1.9*3 = 5.7kg Possible..
Time fishing : DOESN'T MATTER AT ALL
Find the expression that represents the sum of 2i3+5i2-6i and 2i2-3i+8.
Dry-by-step explanation:
Kznyuszc kubysadnuailsdaieubvaeryulbvaulybeffn
Ioaer
How many solutions will this equation have? 2(x + 4) = 2x + 8
Answer:
None
Step-by-step explanation:
This type of equation is a tautology, it will always be true
We want to see how many solutions does the given equation has.
We will see that the equation has infinite solutions.
The given equation is:
2(x + 4) = 2x + 8
To find how many solutions it has, we need to solve it, we first can distribute the product at the left to get:
2(x + 4) = 2x + 8
2x + 2*4 = 2x + 8
2x + 8 = 2x + 8
Note that we have the exact same thing in both sides, so the value of x can be any real number, and the equation will still be true.
This means that there are infinite solutions for the given equation.
If you want to learn more, you can read:
https://brainly.com/question/16797952
Find x, the angle of depression from the top of a lighthouse that is 199 ft above water level to the waterline of a ship 1104 ft off shore. Round your answer to the nearest tenth of a degree.
Answer:
10.2°
Step-by-step explanation:
I'm not sure if my answer is correct and I'm not too good at explaining but I'll try.
The height of the triangle would be 199 ft and it's length would be 1104 ft. Since were looking for the angle of depression, the angle would obviously be outside of our triangle (as shown in the picture). The height and length wouldn't change at all so we can just label the imaginary lines with their corresponding measurements.
The angle that we're looking for is marked in the picture. Since we are given the opposite and the adjacent side, we can use the inverse of tan to figure out our angle, which is 10.2°.
You can also use the "Z" rule and our angle would be where it's shown in the third picture. Nothing would change because our opposite side would still be 199 ft and our adjacent side would still be 1104 ft.
Solve the system by substitution.
y =
-4x
y = x - 5
Answer:
x=-1
Step-by-step explanation:
thanks I'm done pls
Answer: 1,-4
Step-by-step explanation: I noticed there are no steps for this one so I will go ahead and put them.
-4x+x=x-5+-x
combine:
-5x/5=-5/-5
x=1
Substitute:
y=-4x(1)
y=-4
so we get 1,-4
peter weighs 8kg heavier than Ailen.If 5/7 of Peter weight is 35kg,what is their total weight?
5/7 = 35 kg
1/7 = 7 kg
Peter weighs 49 kg
49 - 8 = 41 kg
Ailen weighs 41 kg
49 + 41 = 90kg
Their total weight is 90 kg
What is Ac Brainliest
Answer:
Ac is hypotenuse as c=90
Answer:
6
Step-by-step explanation:
let us call dc x
root(16+x2) =ac
root(25+x2)=bc
using the pytogoren theroum for traingle ABC we get
41+2x2=9 squared
41+2x2=81
2x2=40
x2=20
x=2 root 5
so then plugging the values in
you know ac=root(16+x2)
=root(36)
=6
Find the equation of the line through point (−3,8) and perpendicular to y=27x+117.
Answer:
y - 8 = (-1/27)(x + 3)
Step-by-step explanation:
the slope of a line perpendicular to the given y = 27x + 117 is the negative reciprocal of 27, that is, -1/27. Using the point-slope form y - k =m(x - h) to write the new equation, we get:
y - 8 = (-1/27)(x + 3)
Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments?
the nth term of 17,29,41,53,65
Answer:
12n+5
Step-by-step explanation:
The difference is 12 so that means n is 12 and the +5 is what the number in the sequence is before 17
What is the slope of the line?
Answer:
2
Step-by-step explanation:
from (0,1) to (1,3)
is up 2 over 1
2/1=2
hope this helps!
6) Two boats set off from X at the same
time (below). Boat A sets off on a bearing of 325° and with a velocity of
14 km/h. Boat B sets off on a bearing of 2350 with a velocity of 18 km/h.
Calculate the distance between the boats after they have been travelling
for 2.5 hours. Give your answer to the nearest metre.
A
N
X Х
B
Answer:
The distance between the two boats after 2.5 hours is 57 m.
Step-by-step explanation:
The distance covered by each boat after 2.5 hours are:
speed = [tex]\frac{distance}{time}[/tex]
distance = speed x time
For boat A, speed = 14 km/h and time = 2.5 hrs.
So that,
distance = 14 x 2.5
= 35 km
For boat B, speed = 18 km/h and time = 2.5 hrs.
So that,
distance = 18 x 2.5
= 45 km
The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:
[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A
[tex]x^{2}[/tex] = [tex]45^{2}[/tex] + [tex]35^{2}[/tex] - 2(45 x 35) Cos [tex]90^{o}[/tex]
= 2025 + 1225 - 3150 (0)
= 3250
x = [tex]\sqrt{3250}[/tex]
= 57.0088
x = 57.0 m
The distance between the two boats after 2.5 hours is 57 m.