Answer:
[tex]\sf X=\dfrac{2345}{9999}[/tex]
Step-by-step explanation:
Given:
[tex]\sf X=0.234523452345...[/tex]
Therefore, X is a recurring decimal (the decimal numbers 2345 repeat forever).
Converting a recurring decimal to a fraction
Let X equal the recurring decimal:
[tex]\implies \sf X=0.234523452345...[/tex]
Create another number with recurring 2345s by multiplying the above expression by 10000:
[tex]\implies \sf 10000X=2345.23452345...[/tex]
To solve these two equations and write X as a fraction, take away X from 10000X to remove all the recurring decimal places:
[tex]\large\begin{array}{r r l}& \sf 10000X & = \sf 2345.23452345... \\- & \sf X & = \sf \quad \:\:\:0.23452345.... \\\cline{2-3} & \sf 9999X & = \sf 2345\end{array}[/tex]
[tex]\implies \sf 9999X=2345[/tex]
Divide both sides by 9999:
[tex]\implies \sf X=\dfrac{2345}{9999}[/tex]
Therefore, 0.23452345... as a fraction is [tex]\sf \dfrac{2345}{9999}[/tex]
Can somebody help me with this
Probability = option(s) that we want / total number of possibilities
Options that we want = cash or credit card = 50 + 4 = 54
Total number of possibilities = cash, debit card, credit card = 50 + 2 + 4 = 56
54 / 56 = 0.96
Answer: 0.96
Hope this helps!
Jodie started washing her car at 10:15 am she finished at 10:50 am how long did it take jody to wash her car.
Answer:
35 minutes
Step-by-step explanation:
this requires us to find out how long it took and because both times given to figure this out are within the same hour it is easy to figure out in this case, 50 - 15 = 35. This is not as simple with all problems like this but because of the times given in this problem its much easier.
What is the volume of the following rectangular prism and the top of the shape 9 units squared and the hight is 3 2/3
Answer:
2x^3 + 5x^2 - 18x - 45 m
V = lwh
V = (x + 3)(x - 3)(2x + 5)
V = ((x)(x) + (x)(-3) + (3)(x) + (3)(-3))(2x + 5)
V = (x^2 - 3x + 3x - 9)(2x + 5)
V = (x^2 - 9)(2x + 5)
V = (x^2)(2x) + (x^2)(5) + (-9)(2x) + (-9)(5)
V = 2x^3 + 5x^2 - 18x - 45
What number is 90% of
140?
Answer:
126
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLEST! What is the amplitude of the function graphed below?
Answer:
The amplitude is the maximum displacement/highest peek
Which is in your case = 2
What is the area of the figure shown?
Check the picture below.
[tex]\textit{area of a circular ring}\\\\ A=\pi (R^2-r^2) ~~ \begin{cases} R=\stackrel{larger}{radius}\\ r=\stackrel{smaller}{radius}\\[-0.5em] \hrulefill\\ R=10.5\\ r=7 \end{cases}\implies \begin{array}{llll} A=\pi (10.5^2 - 7^2)\implies A=61.25\pi \\\\\\ A\approx 192.42~m^2 \end{array}[/tex]
Select all the numbers that are rational
Answer:
-13/3
and the last 2
Step-by-step explanation:
The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers. For example, 3 can be written as 3/1, -0.175 can be written as -7/40, and 1 1/6 can be written as 7/6.
I just need an explanation for this. I know the answer is 34 cm, but I don't understand how you get there
Step-by-step explanation:
180 ° - 146°=34°
Where by isosceles triangle is 180
Mamadou surveyed 500 of the students in the school about their favorite color students could choose between blue and red 390 students said their favorite color was red what percentage of the surveys students said their favorite color was blue
Answer:
22%
Step-by-step explanation:
so 500-390 = 110
110 students said their favorite color was blue.
110/500 = ?/100
110 times 100 = 11000
11000/500 = 22
give brainliest, please!
hope this helps :)
groups, A and B, of size 10. In the simulations, group A always plays the role of the treatment group and group B the role of the control group.
After each simulation, she subtracts the average for group A from the average for group B. The distribution of the differences for all 100 simulations is shown in the histogram.
In the original experiment, the average for the treatment group was 1.6 lower than the average for the control group.
In what percentage of simulations is the average for group A at least 1.6 lower than the average for group B?
The percentage of simulations where the average for group A is at least 1.6 lower than the average for group B is 48%.
Data points where the average for group A is at least 1.6 less than BThe following are the data points from the histogram where the average of group A is at least 1.6 less than average of group B.
At least -1.6 lower implies -1.6, -1.5, -1.4, -1.3, -1.2, -1.1, 0, 1, etc.
the first point = (-1.6 - 1.2) (number of simulation = 1)second point = (-1.2, -0.8) (number of simulation = 8)third point = (-0.8, -0.4) (number of simulation = 16)fourth point = (-0.4, 0) (number of simulation = 23)Outcome of simulations = 1 + 8 + 16 + 23 = 48
Percentage of simulation = outcome/total x 100%
Percentage of simulation = (48 x 100%)/100
Percentage of simulation = 48%
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The value of “p” in 1
3
+ p = 2
5
is .............
Answer:
p = 12
Step-by-step explanation:
13 + p = 25 ( subtract 13 from both sides )
p = 12
Answer:
the value of P is 12
Step-by-step explanation:
if 13+P=25 then P must be 12
subtract 13 from both sides
you're left with P=12
Solve for d.
3(d + 2) = 12
d =
Answer:
d = 2
Step-by-step explanation:
3(d + 2) = 12 ( divide both sides by 3 )
d + 2 = 4 ( subtract 2 from both sides )
d = 2
Answer:
d=2
Step-by-step explanation:
3(d+2)=12
divide both side by 3
d+2 =4
substract 2 from both side
d=2
What transformation will prove that these two triangles are CONGRUENT.
Answer:
Reflection across the x axis
Step-by-step explanation:
When the triangle reflects across the x axis it will directly map over the other triangle and will appear to be congruent
Answer:
A reflection over the x - axis.
Step-by-step explanation:
The new position of a point, a line, a line segment, or a figure after a transformation is called its image. line y=x. A reflection is a type of transformation known as a flip. The figure will not change size or shape. Mathematical reflections are shown using lines or figures on a coordinate plane. The reason these two triangles are congruent is they reflect each other meaning that they are complete opposites reflecting. When mapped, they are completely reflecting.
Which set of real numbers contains 23 and .45?
rational numbers
integers
natural numbers
whole numbers
Answer:
Option A, rational numbers
Step-by-step explanation:
Step 1: Determine which option is correct
Option B and D are automatically ruled out because only one of them is a whole number and the other one is a decimal. Option C doesn't work also because natural numbers are all the whole numbers that are greater than 1. The only option that makes sense is option A which includes whole numbers and decimals.
Answer: Option A, rational numbers
40 POINTS!!!
Find the volume of this irregular figure.
Hint: Find the volume of the whole rectangular prism, then subtract the volume of the missing piece, which is also a rectangular prism.
Answer:
470 cm³
Step-by-step explanation:
Volume of rectangular prism = width × length × height
⇒ Volume of whole rectangular prism = 9 cm × 10 cm × 8 cm
= 720 cm³
Side lengths of the missing piece:
width = 5 cmlength = 10 cmheight = 8 cm - 3 cm = 5 cm⇒ Volume of the missing piece = 5 cm × 10 cm × 5 cm
= 250 cm³
⇒ Volume of irregular figure = 720 cm³ - 250 cm³
= 470 cm³
what is 2 17/18 divided by 6 as a fraction
Solve this:
Raj is 12m years old. His son was born when he was 9m years old.
(i) Find Raj's age 5 years later.
(ii) Find the sum of their ages in 5 years' time.
Answer:
i = 17 Years old
ii = 25 years
Step-by-step explanation:
i = 12 + 5 =17
ii = his son was born when he was 9, hes 12 now, so his sons 3. In 5 years time his sons 8 and hes 17, 8+17= 25
Determine which function has the greatest rate of change over the interval [0, 2].
A. c
B. a
C. d
D. b
Answer:
B :a
Step-by-step explanation:
witch fraction correctly represents 0.6 A. 5/12 B. 7.11 C. 2/3 D. 9/13
please do this and help dont just do it for the points and please help asap thank u
Sphere B is the image of sphere A after dilation by a scale factor of 44. If the volume of sphere A is 50 m^3
3
, find the volume of sphere B, the image.
Step-by-step explanation:
there is no image here. and we don't know, if B is smaller or lager than A.
anyway, the volume of a sphere is
4/3 × pi × r³ = 4/3 × pi × r×r×r
that means the scale factor applying to r (radius) has to be multiplied in 3 times (with every r). so, to compare the volumes, the volume scale factor is cubed the linear scale factor.
44³ = 85184
if B is smaller, then its volume is 50/85184 m³
if B is larger, then its volume is 50×85184 m³
since this a such a big number, you made possibly a typo with the scale factor.
The volume of sphere B, the image of sphere A after dilation by a scale
factor of 44, is approximately 1,223,762.42 cubic meters.
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Since, The volume of a sphere is given by the formula:
V = (4/3) pi r
where V is the volume, pi is the constant 3.14.., and r is the radius of the sphere.
Since, sphere A has a volume of 50 cubic meters, we can use this formula to solve for its radius:
50 = (4/3) pi r
r = (3/4) (50 / pi)
r = (3/(4pi) 50)^(1/3)
r = 2.67 meters
Note that we know,
The radius of sphere A, we can use the scale factor of 44 to find the radius of sphere B:
rₐ = 44 rₓ
rₐ = 44 × 2.67
rₐ = 117.48 meters
Finally, we can use the volume formula again to find the volume of sphere B:
V(B) = (4/3) pi rₓ
V (B) = (4/3) pi (117.48)
V (B) = 1,223,762.42 cubic meters
Therefore, the volume of sphere B, the image of sphere A after dilation by a scale factor of 44, is approximately 1,223,762.42 cubic meters.
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which clock shows 25 minuites after 4:00?
Answer: attached a picture
The fourth clock shows the time 25 minutes after 4:00.
The correct option is IV.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
There are four clocks.
To watch the time on the clock:
The small arrow line shows the time in hours.
And the large arrow shows the time in minutes.
At the first clock;
The time is 11:20.
At the second clock;
The time is 11:40.
At the third clock;
The time is 12:20.
At the fourth clock;
The time is 4:25.
25 minutes after 4:00 means the large arrow will be pointing towards 5.
Because 25 = 5 x 5.
Therefore, all the times on the clocks are given above.
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The complete question;
From the given choices,
which clock shows 25 minutes after 4:00?
The options are given in the attached image.
Mariana buys bottles of orange juice at the corner store. assume each bottle of juice is the same price. the proportional relationship between the number of juice bottles bought, j, and the total cost in dollars and cents, c, can be represented by the equation c=0.8jc=0.8j. what is the cost in dollars and cents of each bottle of juice?
By evaluating the function in j = 1, we conclude that each bottle costs 80 cents.
What is the cost in dollars and cents of each bottle of juice?We know that the total cost in dollars can be represented by the linear equation:
C(j) = 0.8*j
Where C is the cost, and j is the number of juice bottles bought.
Then to get the cost of each bottle, we can evaluate the function in 1, which means buying only one.
C(1) = 0.8*1 = 0.8
So each bottle costs $0.80 (or 80 cents).
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6. Andy scored 90 on the last history exam. He scored 81 this time. By what percent did his score decrease?
Answer:
His score decreased by 9 percent this time.
Step-by-step explanation:
From his first history exam he had a score of 90 percent. The difference between his first score and present score is given by
90 - 81 = 9
A chocolate bar measures 30 mm wide, 70 mm long, and four and one over two mm high. Will’s Wrapping Company is making a wrapper to cover the chocolate bar. Use the correct net and determine how much paper will be needed to make the wrapper.
Answer:
minimum of 5100 mm^2
Step-by-step explanation:
Surface area 2 * ( 70 * 30 + 70 * 4.5 + 30* 4.5) = 5100 mm^2
(see image) please help I need help with this math problem * i give brainlist
Select the correct answer. which expression is equivalent to the given expression? assume the denominator does not equal zero. a. b. c. d.
The expression that is equivalent to the expression, [tex](\frac{4m^5n^2}{m^2n} )^3[/tex] is the expression, [tex]64m^9n^3[/tex].
What are Equivalent Expressions?If two expressions are equivalent to each other, it means the value of each of them are the same when simplified or evaluated in their simplest form.
Given the expression,
[tex](\frac{4m^5n^2}{m^2n} )^3[/tex]
Evaluate the expression in its simplest form
[tex](\frac{4m^5n^2}{m^2n} )^3 = (4m^3n^1)^3[/tex]
Multiply the exponents in the bracket by the one outside, then find the cube of 4.
[tex]64m^9n^3[/tex]
Therefore, [tex](\frac{4m^5n^2}{m^2n} )^3[/tex] is equivalent to [tex]64m^9n^3[/tex].
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Please help fast-
In △LMN , point E is between points L and M, point F is between points M and N, and EF¯¯¯¯¯∥LN¯¯¯¯¯ .
LE=19 cm , LM=31 cm , and MN=124 cm .
What is MF ?
Enter your answer in the box.
Using the triangle proportionality theorem, the length of segment MF in triangle LMN is: 48 cm.
What is the Triangle Proportionality Theorem?The triangle proportionality theorem states that when a segment intercepts two sides of a triangle and it is parallel to a third side, then it divides the side proportionally.
The diagram of triangle LMN is shown below. Using the triangle proportionality theorem, we have:
MF/MN = ME/ML
Plug in the values
MF/124 = (31 - 19)/31
MF/124 = 12/31
MF = (12 × 124)/31
MF = 48 cm
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Options
3 - 2n
3 + 2n
2 + 3n
2 - 3n
Answer:
3 - 2n
Explanation:
Difference means we have to subtract integers.
Let the number be n. Twice of this number: 2n
Difference of 3 and twice this number: 3 - 2n
The principal sent a message to 25 students to ask them to
help pick up litter after school. Only 8 of them showed up.
What percentage of the students came to pick up litter?
Answer: 32%
Step-by-step explanation:
100 / 25= 4
4 x 8 = 32%
Trapezoid defg is dilated according to the rule do,4(x,y) to form the image trapezoid d'e'f'g', which is shown on the graph. on a coordinate plane, trapezoid d prime e prime f prime g prime has points (negative 8, 8), (negative 3, 8), (negative 5, 4), and (negative 8, 4). what are the coordinates of point g of the pre-image? (-2, 1) (-4, 2) (-12, 0) (-32, 16)
Since the figure is dilated by a factor of 4, the coordinates of point g of the pre-image is (-2, 1)
How to determine the coordinates of point g?The coordinates of the image are given as:
d' = (-8,8)e' = (-3,8)f' = (-5,4)g' = (-8,4)The dilation rule is given as:
(x,y) -> 4(x,y)
So, we have:
(-8,4) = 4 * g
Divide both sides by 4
g = (-2,1)
Hence, the coordinates of point g of the pre-image is (-2, 1)
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Answer:
A
Step-by-step explanation:
edge