Insert two rational number between: 2.23 bar and 2.24 bar
General method:
Given numbers are 2.23 bar and 2.24 bar
2.23 bar = 2.232323...2.24 bar = 2.242424...Two rational numbers between them
= 2.232525... and 2.239899...
Mean Method:
Let X = 2.232323...→ → →eqn(i)
since the periodicity is 2 then multiply eqn(i) with 100
⇛100×X = 2.232323...×100
⇛100X = 223.232323...→ → →eqn(ii)
Subtract eqn(ii)- eqn(i)
100X = 223.232323...
X = 2.232323...
(-)
__________________
99X = 221.000000...
__________________
⇛99X = 221
⇛X = 221/99
and
Let X = 2.242424...→ → →eqn(i)
since the periodicity is 2 then multiply eqn(i) with 100
⇛100×X = 2.242424...×10
⇛100X = 224.242424...→ → →eqn(ii)
Subtract eqn(ii)- eqn(i)
100X = 224.242424...
X = 2.242424...
(-)
_________________
99X = 222.000000
_________________
⇛92X = 222
⇛X = 222/99
Now we have 221/99 and 222/99
The rational number between them by mean method (a+b)/2
⇛{(221/99)+(222/99)}/2
⇛(443/99)/2
⇛443/198
and Second rational number
⇛{(221/99)+(443/198)}/2
⇛{(442+443)/198}/2
⇛(885/198)/2
⇛885/396
Answer: The two rational numbers between them are 443/198 and 885/396.
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What is the number of Santa’s reindeer (without Rudolph!) times the number of
golden rings in the song, “The Twelve Days of Christmas”?
What is the reason for each step in the solution of the equation?
18x – 2x = 4x
Match the reasons with each step in the equation.
Given
Answer:
18 - 2x = 4x (Given)18 = 6x (Addtion property of equality)3 = x (Division property of equality)Step-by-step explanation:
Given - This is the start of the proof. Use this for the information given from the start.
Addition property of equality - Use this when adding terms on both sides of an equation.
Division property of equality - Use this when dividing terms on both sides of an equation.
5 The average low temperature for one winter day is 10°F.
The low temperature on that day was actually -2°F.
Write a subtraction problem to represent the
situation. Then write the subtraction problem as
an addition problem.
Answer:
10 - (-2) = 12, 10 + 2 = 12
Step-by-step explanation:
10 - (-2) = 12
10 + 2 = 12
calculate the simple interest and compound interest on ₹5000 for 2 years at 10% per annum. how much more is the compound interest then the simple interest?
Answer:
Simple: 6000
Compound: 6050
Difference: 50
Step-by-step explanation:
Simple interest formula: A = P(1+rt), where A = final amount, P = initial amount, r = rate, and t = time. Plug our values in to get
A = 5000(1+10% * 2)
convert 10% to a decimal by dividing by 100 and plug that in
10% = 0.1
5000(1+0.1*2) = 5000(1.2) = A = 6000
Compound interest formula: A = P(1+r)^t
Plug our values in
5000(1+0.1)^2 = 6050
Difference = 6050 - 6000 = 50
At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is
53. What is the height of the tree rounded up to the nearest hundredth.
Answer:
At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is 53°. Find the height of the tree to the nearest foot.
I got 50xtan53 = 66.35 nearest foot ? would I use tan or sin since I'm finding the foot of the tree
Step-by-step explanation:
.
I'll mark you brainlest if you answer this correctly please help
Answer:
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Which value of a in the exponential function below would cause the function to stretch? (one-third) Superscript x 0. 3 0. 9 1. 0 1. 5.
Using exponential functions, it is found that a = 1.5 would cause the function to stretch.
The exponential function given is:
[tex]y = \left(\frac{1}{3}\right)^x[/tex]
If it is multiplied by a such that |a| < 1, it is compressed.If it is multiplied by a such that |a| > 1, it is stretched.Hence, a = 1.5 would cause the function to stretch.
For more on exponential functions, you can check https://brainly.com/question/17403806
Answer:
1.5 is the value of a in the exponential function below would cause the function to stretch
jack has $37 and saves $6.50 per week diane has $9 and saves $8.25 per week write and solve an equation to find out how many weeks it would take for jack and diane to have saved the same amount of money
I REALLY NEED HELP PLEASE!!! ILL GIVE BRAINIEST!!! IT ENDS TOMORROW I NEED HELP
Kiley and her parents traveled to visit her grandmother. They drove 24.3 miles from their house to the airport in 1/2 hour. At the airport they exited the car and walked for 3/4 hour to the waiting area by the gate to board their plane. Their walk covered 1.2 miles. From the waiting area, they walked another 0.1 mile to board the plane. The plane left the gate 45 minutes after they arrived at the waiting area. The plane flew 346 miles in 2 1/4 hours. After the plane landed, Kiley and her parents walked for 30 minutes, covering 1.1 miles, before they found a can. It was a 15-minute cab ride to get to Kiley's grandmother's house which was 12.3 miles away.
Answer the flowing questions about Kiley's trip. All questions are written in terms of an average rate. Assume the average rate includes the time that Kiley is at rest. (that is, not moving)
In this task you will write the ratio of miles to hours for each leg of Kiley's trip. You will then, express the ratio as a decimal number. Next you will find the unit rate in miles per hour for each leg of the trip. If your unit rate includes a repeating decimal number, you must include which digits repeat (for example write 0.3_ when the 3 repeats) A description of each leg is listed below in parts A-F
Part A:
A car ride from Kiley's house to the airport
Part B:
At the airport, the walk from the car to the waiting area by the gate
Part C:
The left from the waiting area to the airplanes takeoff
Part D:
the airplane ride
Part E:
The walk from the airport to the cab
Part F:
The cab ride
Answer:
I A
Step-by-step explanation:
A is the answer sorry I cant conform
Answer:
[tex][tex]\red{\rule{100pt}{100000pt}}[/tex][/tex]
Can you calculate problems involving percent? pls help i WILL make as brainlyst pls i dont wanna fail
Answer:
45 is 150% of 30.
Step-by-step explanation:
To find what percent of 30 is 45 first we must turn it into a fraction and simplify.
fraction form: 45/30
simplified fraction form: 3/2
now to find percent you have to put a number over one hundred.
3/2 = ?/100
Right now our denominator is 2. By what number can we multiply 2 to get to 100? The answer is 50.
Now that we have multiplied the denominator by 50, we also have to multiply the numerator (3) by fifty. 3 x 50 = 150
so now we put the new numerator and denominator together and get 150/100
The answer is 150%
What is equivalent to -2/5x=-4
A. -20
B. 1
C. -10
D. -8
E. X= -8/5
Answer:
10
Step-by-step explanation:
Multiply each side by the reciprocal, -5/2
x = -4 * -5/2
x = 20/2
x = 10
In the figure below, a tangent and a secant are drawn to a circle from exterior point E.
Suppose that EG = 13 and ED=26. Find CD.
Answer:
19.5 = CD
Step-by-step explanation:
The square of the tangent = (length of the secant)(the length of the outside part of the secant)
EG² = (ED)(EC)
13² = (26)(EC)
169 = 26EC
169/26 = EC
6.5 = EC
Now ED = EC + CD
26 = 6.5 + CD
19.5 = CD
The value of the segment CD will be equal to 19.5.
What is secant and tangent?The relationship between the line segments produced by a secant and a tangent line and the corresponding circle is described by the tangent-secant theorem.
The square of the tangent = (length of the secant)(the length of the outside part of the secant)
It is given that In the figure below, a tangent and a secant are drawn to a circle from exterior point E. Suppose that EG = 13 and ED=26.
The value of the segment CD will be calculated as below:-
EG² = (ED)(EC)
13² = (26)(EC)
169 = 26EC
169/26 = EC
6.5 = EC
Calculate CD.
ED = EC + CD
26 = 6.5 + CD
19.5 = CD
Therefore, the value of the segment CD will be equal to 19.5.
To know more about secant and tangent follow
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#SPJ5
Can someone help me with this problem please!
Answer:
can you send in a better photo i cannot see it clearly
Step-by-step explanation:
if f(x)=-x+2 find f(6)
Answer:
Answer: -4
Step-by-step explanation:
[tex]{ \rm{f(x) = - x + 2}} \\ \\ { \rm{f(6) = - (6) + 2}} \\ \\ { \rm{f(6) = - 4}}[/tex]
The value for f(6) = -4
What is the function of f(x)?The function of f(x) is set to a term such that for every value of x, there is a unique value for it on the graph.
From the given information, we are given a function
f(x) = -x + 2To find f(6), we replace x with 6.
f(6) = -6 + 2f(6) = -4Learn more about function of f(x) here:
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This is my question pls help
Answer:
a = 15
Step-by-step explanation:
Substitute b = 12 , a = 9 into the equation
12 = [tex]\sqrt{a^2-9^2}[/tex]
12 = [tex]\sqrt{a^2-81}[/tex] ← square both sides
144 = a² - 81 ( add 81 to both sides )
225 = a² ( take square root of both sides )
± [tex]\sqrt{225}[/tex] = a , then
a = ± 15
a > 0 , so a = 15
given a isotope with a 3 charge, a mass number of 28, and an atomic number of 13, what are:
Answer: The element described is aluminum.
help please anybody hmm
Answer:
94.6-18.8=75.8
75.8 is the answer
Step-by-step explanation:
Hope this helps
May i get braineist pls?
What is the volume of this container?
1. You are setting up a shelf display filled with present
boxes and other decor. Each shelf has a length of 116
inches and a width of 30 inches. If there are 5 shelves,
what is the total area you can use for the decor?
2. Buddy is figuring out how long his snowflake chain
around the whole store needs to be. Use the diagram
below to find the perimeter of the store! Type your
work and solution in the box under the diagram.
Answer:
1. 17,400 in²
2. ???
Step-by-step explanation:
1. If the the length of each shelf is 116 inches and the width is 30 inches then 1 shelf has 3480 in² of space. Since that's for 1 shelf and we have 5 shelves you multiply 3480 by 5 to get 17400.
2. You didn't give any diagram so I can't really help here but just add up all the side of the shape it gave you. You'll probably have to do some math to find missing sides.
Complete the ordered pair so that it is a solution of 2/3 x+ y - 1 = 0.
(-6,?)
3
4
5
Answer:
i think y = 5 is answer
Step-by-step explanation:
good luck
Answer:
(-6, 5).
Step-by-step explanation:
2/3x+y-1=0
2/3(-6)+y-1=0
-12/3+y-1=0
-4+y-1=0
-4-1+y=0
-5+y=0
y=0-(-5)
y=0+5
y=5
Find the value of x.
Answer:
x = 12
Step-by-step explanation:
Angle Bisector Theorem: PS / PQ = RS / QR
24/14 = x/7
cross-multiply:
14x = 168
x = 12
someone please help me with this question, pleaseeeee :/
tyyyyy!
Answer:
4x+9y-27=0
compare and fill em
hope it helps
Answer:
2
Step-by-step explanation:
y=1y
x=1x
so the answer will be 2.
may be
hope to help!!!
Please help! IXL math problem
Answer:
224, 755
Step-by-step explanation:
you first have to find the differnce between 177 and 47 which equals to 133.
so you have to do 94+133
and 885-133
How do you turn 48% in to a decimal?
Answer:
0.48
Step-by-step explanation:
Since a percent is ALWAYS a part of the number 1, this makes it to where you must multiply by 100 in order to convert a percent into a decimal. In this case, 48%(100) is 0.48.
For a system of linear equations, the solution for the system is__
ASAP
Jeremy is solving this system of equations algebraically. Which equation could be a step in his work?
y = 3x + 1
4x - 3y = -13
Answer:
3x+14x
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
PLEASE HELP!
A park charges $16 for one round of miniature golf and a reduced fee for each additional round played. If Tom paid $51 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?
Concrete tiles are made using buckets of cement, sand and gravel mixed in the ratio 1:4:6. If 20 buckets of sand are used, how many buckets of EACH of the following will be
needed?
a)
Cement:
T
b) Gravel:
If x=9 and y=- -2 evaluate the following expression:
x+y
Answer:
x + y = 11
Step-by-step explanation:
You would need to substitute the numbers into the expression.
Evaluate means that we need to work out what the answer would be.
x + y is equivalent to 9 - - 2.
- - is equivalent to +.
Therefore you would do 9 + 2, which equals 11.
Hope this helps :)