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.
also read similar questions: Give five rational numbers lying between 3/5 and 4/5. Insert six rational numbers between 3 and 4.
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The graph represents an object that is shot upwards from a tower and then falls to the ground.
1. How tall is the tower from which the object was shot?
2. When did the object hit the ground?
3. Estimate the greatest height the object reached and the time it took to reach that height. I indicate this situation on the graph.
Answer:
1: The tower is around 93 meters tall. 2: The object hit the ground at 6 seconds. 3: 3 seconds to get to about 93 meters up.
Step-by-step explanation:
1: The tower is around 93 meters tall.
2: The object hit the ground at 6 seconds.
3: the time it took to reach that height is 3 seconds to get to about 93 meters up.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Linear function is a function whose graph is a straight line
1. Since the shot was made from the top of the tower, the starting height of the object (time zero) is equal to the height of the tower.
It represent in the graph by the y-intercept of the function, that is, the value of y when x=0.
The y-intercept is at (0,10) which shows that the height of the tower is 10m
2. The point where the object hit the ground, the height is zero meters, thus
The coordinates of the x-intercept are (6,0)
This shows that the object hit the ground 6 seconds after being shot.
3.The y-coordinate of the vertex shows the highest point of the object, which is 93 meters.
The x-coordinate of the vertex shows the time it took the object to reach said height, which is 2.8 seconds
Learn more about function here:
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Use the factorial operation to evaluate 4!
4×3×2×1
4+3+2+1
4.321
4-3-2-1
Answer:
4x3x2x1=25
Step-by-step explanation:
hope this helps :)
find the slope of the line 2y+5x=3
Answer:
-5/2
Step-by-step explanation:
First, you want to get the equation into the Y=mx+b formula, and my m will be the slope of the line.
So in our case, we get Y= -5/2x+3/2 so my slope is -5/2
Four times a number, decreased by 2, is 8 more than the product of six and the number.
Find the number.
Answer:
-5
Step-by-step explanation:
4x -2 = 8 + 6x
-2x = 10
x = -5
Marcy's breakfast table has a square top
with an area of 36 square feet. What is the
diagonal length of the tabletop?
Answer:
scroll
Step-by-step explanation:
√36 = 6
a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
72 = c^2
√72 = c
6√2 = c
6√2 = V
(Estimate rounded = 8.49)
find the midpoint of CD with C(-4,5) and D(-1,-4).
Answer:
(-2.5, 0.5)
Step-by-step explanation:
(-4) + (-1) / 2 = -2.5
5 + (-4) / 2 = 0.5
pls help for 50 pts!!!!!!!!!!!!!
Answer:
w is 22.5°
See solution in the photo
Answer:
22.5⁰
Step-by-step explanation:
<Q = <S = 5w⁰
<R + <S = 180 (Linear pair)
3w + 5w = 180
8w = 180
w = 180/8
w = 22.5⁰
Graph the following equation.
x+2y>-6
Answer:
im not to sure i think it is 45
Step-by-step explanation:
your welcome
Answer:
-2y=6-x
y=0.5x-3
x=0
y=0.5*0-3=-3
(0;-3)
y=0
0=0.5x-3
0.5x=3
x=3/0.5=6
(6;0)
Write the following equation in slope-intercept form.
3 x- 2 y=5
y= 3/2 x - 5/2
y= -3/2 x -5/2
y= -3/2 x + 5/2
Answer:
A)
Step-by-step explanation:
3x-2y=5
2y=3x-5
y=3/2x-5/2
y = 3/2x + -5/2
hope this helps!
PLEASE HELP QUESTION IN PICTURE
Answer:
y= 1/3x + 3
Step-by-step explanation:
please answer
when a whole number is rounded to the nearest ten the answer is 340
a write down the smallest possible value for the number
b write down the largest possible value for the number
Answer:
a) 335
b) 344
Step-by-step explanation:
im so confused please help me quickly
Answer:
a
Step-by-step explanation:
The volume of the triangular prism is 54 cubic units.
What is the value of x?
03
O 5
O 7
9
3x
what is the answer
Answer:
3 units
Step-by-step explanation:
I hope it helps you!
Can someone help me out here?
Answer:
with what?
Step-by-step explanation:
Please help I need help by the end of today
Answer:
A. x = 7, y = 3
Step-by-step explanation:
The triangles are congruent by HL if the hypotenuses are congruent, and if the marked legs are congruent.
3x -1 = 6y +2 . . . . hypotenuses are congruent
2x = 5y -1 . . . . . . .legs are congruent
Subtracting 2 times the first equation from 3 times the second gives ...
3(2x) -2(3x -1) = 3(5y -1) -2(6y +2)
6x -6x +2 = 15y -3 -12y -4
9 = 3y . . . . . . . . . . . add 7 and simplify
y = 3 . . . . . . . . divide by 3
This value of y matches only answer choice A.
What is the quotient of 8.44 and 0.04?
10 pts
8.44/0.04=211
hope this helps!
Answer:
211
Step-by-step explanation:
8.44 divided by 0.04 = 211
find the length of the rectangular plot of land whose weight is 10 M and perimeter is 44 m
Step-by-step explanation:
Area of this plot =(84×84) m
2
=7056 m
2
length of rectangular plot =144 m.
We know that the area of the square plot is same as the area of the rectangular plot
Let breadth of rectangular plot be x.
then, 144x=7056 [∵ Area of a rectangle =l×b ]
⟹x=
144
7056
=49 m
∴ The width of rectangular plot is 49 m.
Harry had $32. He spent all the money buying three notebooks for x dollars each and four packs of index cards for y dollars each. If Harry had bought five notebooks and five packs of index cards, he would have run short by $18. The following system of equations models this scenario: 3x 4y = 32 5x 5y = 50 Use the system of equations to solve for x and y. (8, 2) (1, 5) (2, 8) (5, 1).
Answer:
x = notebooks
y = indexboks
3x+4y=32 ( here is spent all money so I add 32 here )
5x+5y=50
by elemination method
3x+4y=32×5
5x+5y=50×4 ( here I'm going to eliminate y )
15 x+20y= 160
20x+20y= 200
- - = -
____________
-5x = -40
x = - 40 / -5
x = 8
here - × - = + so iam taking positive 8
now substitute the value of x in any equation
3×8+4y = 32
24 + 4y = 32
4y = 32-24
y = 8 / 4
y = 2
CHECKING
SUBSTITUTE BOTH VALUES IN ANY EQUATION
5×8+5×2 = 50
40 + 10 = 50
50 = 50
I SUBSTITUTE IN 2ND EQUATION
Answer:
(8,2)
Step-by-step explanation:
Given that:
3x + 4y = 32 --------- eq1
5x + 5y = 50 --------- eq2
From taking 5 common from eq2:
x + y = 10
Or it can also be written as:
x = 10 - y ----------eq3
Now put this value of x in eq1
3(10 - y) + 4y = 32
By simplifying:
30 - 3y +4y= 32
30 +y = 32
Subtracting 30 from both sides:
y = 32 - 30
y = 2
Putting value of y in eq 3
x = 10 - 2
x = 8
A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted price of $1.25 per slice of pizza. Tristan purchased a membership to this pizza shop. How much would Tristan have to pay the pizza shop if he bought 9 slices of pizza this month? What would be the monthly cost for xx slices of pizza?
Monthly cost with 9 slices:
Monthly cost with xx slices:
Apply the distributive property to create an equivalent expression.
-9x(5j+k)
PLEASE HELP THANK YOUU!!
Answer:
-45xj-9xk
Step-by-step explanation:
-9x(5j+k)
Multiply -9x with 5j
Multiply -9x with k
-9x times 5j is -45xj
-9x times k is -9xk
So the equivalent expression is
-45xj-9xk
Hope this helps!
Factor the polynomial expression 8x^3+1
[tex] {8x}^{3} + 1 \\ = {(2x)}^{3} + {(1)}^{3} \\ = (2x + 1)( {(2x)}^{2} - 2x \times 1 + {(1)}^{2}) \\ = (2x + 1)( {4x}^{2} - 2x + 1)[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
i cant fail this class
Answer:
what are you asking?
Step-by-step explanation:
Very important question ☺️
Answer:
130⁰
Step-by-step explanation:
Let,
<Q = x
<R = y
So,
In ∆PQR
2x + 2y + 80 = 180(Sum of all angle in a triangle is 180⁰)
2(x + y) = 180 - 80
2(x + y) = 100
x + y = 100/2
x + y = 50
Now,
In ∆QOR
x + y + QOR = 180(Sum of all angle in a triangle is 180⁰)
50 + QOR = 180
QOR = 180 - 50
QOR = 130⁰
Joe started to save money to purchase a new game console. His savings at the end of the first week included a jar of 468 nickels and dimes. The total value of the coins was $34.40. Which system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week?
What is the solution to this equation? 2 x + 3 = x − 4
The system of equations that can be used to determine the number of nickels and dimes is:
x + y = 468
0.05x + 0.01y = 34.40
Where:
x = number of nickels
y = number of dimes
The equation that can be used to determine the number of nickels and dimes are known as simultaneous equations. Both equations have to be solved together in order to determine the required values.
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factor completely.
-3x^2+9x+30
Answer:
− 3 ( x − 5 ) ( x + 2 ) hope this helps
Step-by-step explanation:
Answer:
− 3 ( x − 5 ) ( x + 2
Step-by-step explanation:
a lakeis 200ft wide. two boats start to move towards one another from opposite shores.In one minute ,the first boat goes 40 ft and the second one goes 30 ft they are very slow! what would be the distance between the boats after 1 minute
The distance between the boats after 1 minute would be 130 ft.
Given that a lake is 200ft wide, and two boats start to move towards one another from opposite shores, and in one minute, the first boat goes 40 ft and the second one goes 30 ft, to determine what would be the distance between the boats after 1 minute the following calculation must be performed:
Total width - boat distance 1 - boat distance 2 = Distance after 1 minute 200 - 40 - 30 = X 130 = X
Therefore, the distance between the boats after 1 minute would be 130 ft.
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SOLVE HYPOTENUSE LEG-HL
-GEOMETRY
[tex]\huge \rm༆ Answer ༄[/tex]
The required information needed to prove the two triangles congruent by HL congruency criteria is ~
[tex] \sf {VW} \cong BA[/tex]Find the value of x
First person to answer correctly gets brainliest.
Answer:
x is 54
Step-by-step explanation:
90-36=54
Find the factors of f(x) given that x = 5 is a zero.
f(x) = x3 − 6x2 − x + 30.
(x − 5)(x + 3)(x − 2)
(x − 5)(x − 3)(x + 2)
(x + 5)(x − 3)(x + 2)
(x + 5)(x + 3)(x − 2)
Answer:
B.(x − 5)(x − 3)(x + 2)
Hope you could get an idea from here.
Doubt clarification - use comment section.
Solve for x in the equation p(m+qx)=rx+n
[tex]p(m+qx)=rx+n\\\\\implies pm+pqx = rx+n\\\\\implies pqx-rx = n-pm\\\\\implies x(pq -r) = n-pm\\\\\implies x = \dfrac{n-pm}{pq-r}[/tex]