Find the value of X and
What equation do you use for this problem
You set them equal to each other since they are proprtional
So 12-x=x
Add x on both sides
12=2x
Divide by 2 on both sides
6=X
Answer: x = 4
Step-by-step explanation:
Since the two triangles are similar, you can set up a proportion:
[tex]\dfrac{16}{12-x}=\dfrac{8}{x}\\\\\\\text{Cross Multiply and solve for x:}\\16(x)=8(12-x)\\16x=96-8x\\24x=96\\\boxed{x=4}[/tex]
What is 0.02777777777 as a fraction
The decimal 0.02777777777 can be expressed as the fraction [tex]\( \frac{1}{36} \)[/tex] (Option C).
1. Let's denote the repeating decimal as [tex]\( x \)[/tex]:
[tex]\( x = 0.02777777777 \)[/tex]
2. Multiply both sides of the equation by 100 to shift the decimal two places to the right:
[tex]\( 100x = 2.7777777777 \)[/tex]
3. Subtract the original equation from the equation obtained in step 2 to eliminate the repeating part:
[tex]\( 100x - x = 2.7777777777 - 0.02777777777 \)[/tex]
[tex]\( 99x = 2.75 \)[/tex]
4. Solve for [tex]\( x \)[/tex]:
[tex]\( x = \frac{2.75}{99} \)[/tex]
5. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 0.25):
[tex]\( x = \frac{11}{4 \times 9} \)[/tex]
[tex]\( x = \frac{11}{36} \)[/tex]
Therefore, the decimal 0.02777777777 can be expressed as the fraction [tex]\( \frac{1}{36} \)[/tex].
how can you use order numbers that are written as fractions, decimals, and percents?
Give an Example plz
Final answer:
To use order numbers in different forms, you convert between fractions, decimals, and percents. For example, to convert from percent to decimal, you divide by 100; to convert from decimal to percent, you multiply by 100.
Explanation:
You can use order numbers that are written as fractions, decimals, and percents for various mathematical and real-life applications. They are different ways to represent the same value, and you can convert between them. For example, to convert a percent to a decimal, you write the value of the percent as a fraction with a denominator of 100 and divide the numerator by the denominator. Similarly, to convert a decimal to a percent, you write the decimal as a fraction. If the denominator of the fraction is not 100, convert it to a fraction with a denominator of 100, then write the fraction as a percent.
Example of Converting Percents
To convert 75% to a decimal, write it as 75/100, which simplifies to 0.75. Conversely, to convert 0.75 to a percent, you multiply by 100 to get 75%.
Approximate the value of each of the irrational numbers below to the nearest thousandth.
√ 13
ANSWER
[tex] \sqrt{13} = 3.606[/tex]
to the nearest thousandth.
EXPLANATION
The given irrational number is
[tex] \sqrt{13} [/tex]
We use the calculator to evaluate this to obtain,
[tex] \sqrt{13} = 3.605551...[/tex]
To round to the nearest thousandth means we are rounding to 3 decimal places.
The third decimal place is 5.
The next number is 5 so we round up.
[tex] \sqrt{13} = 3.606[/tex]
Find the number of degrees moved by the minute hand of a clock in the given amount of time.2/3 hour
Answer:
240 degrees.
Step-by-step explanation:
The minute hand passes through 60 minutes ( = 360 degrees) in 1 hour.
In 2/3 hours it passes through 2/3 * 360 = 240 degrees.
The number of degrees moved by the minute hand of a clock in a given amount of time is 240 degrees.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We have been given that the minute hand of a clock in the given amount of time of 2/3 hour.
The minute hand passes through 60 minutes Or 360 degrees in 1 hour.
In 2/3 hours, it passes through;
2/3 x 360 = 240 degrees.
Therefore, the number of degrees moved by the minute hand of a clock in a given amount of time is 240 degrees.
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The table below shows the number of points Josh scored in each basketball game of the season.
Game: 1,2,3,4,5,6,7,8
Points Scored: 5,7,9,5,18,6,8,5
Which statements best describe why the mode is not a good choice for a measure of center of the data shown? Select all that apply.
◻️A. The value of the mode is the greatest value of the data.
◻️B. The value of the mode is the least value of the data.
◻️C. The value of the mode is equal to the value of the median.
◻️D. The value of the mode cannot be found from the data.
Answer:
◻️B. The value of the mode is the least value of the data.
Step-by-step explanation:
The mode is the data value that appears most often
5,7,9,5,18,6,8,5
Arranging the data from smallest to largest
5,5,5,6,7,8,9,18
The number that appears most often is 5
This is the smallest value of the data
In ABC, what is the measure of angle B? I think it’s 46.
Answer:
i think it is 46
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE
Which expression represents a quadratic expression in complete factored form?
A.
(x − 1)(3x − 9)
B.
(x + 4)(x − 3)
C.
(2x + 4)(x + 3)
D.
(x − 2) + (x + 3)
Answer:
B
Step-by-step explanation:
D is not the answer. The two binomials are added. That won't work.
C and A are not the answer C has a common factor in the first binomial
A has a 3 that is common in the second binomial.
B is completely factored. B is the answer.
Answer:
Have a great rest of your day :)
Step-by-step explanation:
Which line represents the linear equation
–3y = 15 – 4x?
The equation –3y = 15 – 4x rewritten in slope-intercept form is .
The y-intercept is and the slope of the line is .
Line is the graph of the line –3y = 15 – 4x.
Answer:
Pat a) The graph in the attached figure
Part b) [tex]y=(4/3)x-5[/tex]
The slope is [tex]m=(4/3)[/tex]
The y-coordinate of the y-intercept is [tex]b=-5[/tex]
Step-by-step explanation:
Part a) Which line represents the linear equation [tex]-3y=15-4x[/tex]?
To graph the linear equation find the intercepts
we know that
The y-intercept is the value of y when the value of x is equal to zero
so
For x=0
[tex]-3y=15-4(0)[/tex]
[tex]-3y=15[/tex]
[tex]y=-5[/tex]
The y-intercept is the point [tex](0,-5)[/tex]
The x-intercept is the value of x when the value of y is equal to zero
so
For y=0
[tex]-3(0)=15-4x[/tex]
[tex]4x=15[/tex]
[tex]x=15/4=3.75[/tex]
The x-intercept is the point [tex](3.75,0)[/tex]
Plot the intercepts to graph the linear equation
see the attached figure
Part b) Rewritten in slope-intercept form
we know that
The equation of the line into slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-coordinate of the y-intercept
we have
[tex]-3y=15-4x[/tex]
convert to slope intercept form
isolate the variable y
[tex]3y=4x-15[/tex]
[tex]y=(4/3)x-5[/tex]
The slope is [tex]m=(4/3)[/tex]
The y-coordinate of the y-intercept is [tex]b=-5[/tex]
hopefully the photo helps
What is the answer to 1/2 + 5/6
Answer:
The answer is 4/3
Step-by-step explanation:
To get the answer, first give the two fractions common denominators.
1/2 + 5/6
3/6 + 5/6 = 8/6
Now simplify the fraction by division both numbers by 2
8/6 = 4/3
The answer is 1 1/3
a particle starts at x=0 and moves along the x-axis with velocity v(t) =5 for time t greater than or less than 0. where is the particle at t=4
Answer:
at t=4, the particle is at x = 20
Step-by-step explanation:
This question revolves around velocity and displacement of a particle moving in a straight line (along the x-axis). At t = 0 the particle is at x = 0. The velocity of the particle as function of time is given as;
v(t) = 5
The velocity is thus constant, implying further that the particle has 0 acceleration.
To find the position of the particle at t = 4, we employ integral calculus since displacement is an integral of velocity while velocity is a derivative of displacement.
In short, we shall be integrating the velocity function between t =0 and t = 4 to find its location at t = 4.
[tex]\int\limits^4_0 {5} \, dt[/tex]
The integral of 5 with respect to t is 5t + c but we ignore the constant of integration since we are dealing with a definite integral;
5t
The final step is to substitute t with the limits given;
5(4) - 5(0) = 20
The particle was moving along the x-axis, so its new position would be;
x = 20
A particle moving with constant velocity v(t) = 5m/s on the x-axis starts from x = 0. At t = 4 seconds, using the equation of motion (x = xo + vt), we calculate the particle's position to be x = 20m.
Explanation:The physics question asked here pertains to motion along a line, known as 1-Dimensional Kinematics. Specifically, we are considering a particle moving with a constant velocity, given by v(t) =5 for any time t greater than, or less than 0.
To find the position of the particle at a given time, we can use one of the basic equations of motion:
x = xo + vt.
As per the problem, the particle starts from position x = 0 at time t = 0, so xo = 0. The velocity, v, is a constant 5m/s. We can use the provided time, t = 4 seconds, and substitute these values in the equation to get:
x = 0 + 5*4.
Therefore, at t = 4 seconds, the particle is at position x = 20m along the x-axis.
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The number of freshmen entering college in a certain year is 621. What type of data is 621?
Continuous data
Categorical data
Discrete data
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
The number of freshmen entering college in a certain year = 621
It is considered as discrete data.
Since we know the definition of Discrete which refers to all types of data which take only numerical values.
It is based on counts.
According to question, we have given the exact number of freshmen instead of any range or interval.
Hence, Third option is correct.
Answer: The answer you the question is C. Discrete data I hope this helps :)
What is 99.75 rounded off to the nearest whole number
Answer:
100
Step-by-step explanation:
.75 will make 99 closer to 100
The rounded-off 99.75 to the nearest whole number will be 100.
How do round any digit?To round up or down of tens place then we need to look at the unit place if it is less than 5 then we need to round down and if it is greater than 5 then we need to round up of tens digit.
In order to round to a hundred, we need to look at the tens digit if it is less than 5 then we round down and if it is 5 or greater than 5 then we will round up.
The whole number is the nondecimal number for example 2,5,7.
Given the number 99.75
The whole number around 99.75 are 99 and 100
Now,
100 - 99.75 = 0.25 and 99.75 - 99 = 0.75
Since 0.25 < 0.75
100 will be nearer to 99.75 so it will be the correct answer.
Hence "The rounded-off 99.75 to the nearest whole number will be 100".
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Circle o has a circumference of 36 Pi centimeters what is the length of the radius r
Answer:
r = 18 cm
Step-by-step explanation:
Hello
The formula for circumference is 2*Pi*r
So you have the valur for that formula:
2*Pi*r = 36Pi
r = 36/2
r = 18 cm
Bes regards
Julio has $2.75 in his pocket in nickels and dimes . The number of dimes is 10 less than twice the number of nickels. Find the number of each type of coin
A Dime is worth 2 nickels which equals 10.
let no of dimes be x
let no of nickles be y
so as per the data mentioned in the question , x=2*y-10
total amount = $2.75
so total amount should comprise of nickels and dimes
x*dimes + y*nickels = $2.75
x*( 2 nickels)+ y *nickels = $2.75
=> nickles( 2x+y) = $ 2.75
but 20 nickels = 1 dollar
nickles(2x+y) = 2.75*20 nickels
cancelling nickles on both sides
2x+y = 55
already we know that x= 2y-10
so 2(2y-10) +y= 55
4y-20+y=55
5y -20 =55
So, your answer is 55.
Answer: 15 nickels and 20 dimes
Step-by-step explanation:
Nickels (N) = N and each is worth $0.05
Dimes (D) = 2N - 10 and each is worth $0.10
0.05N + 0.10D = 2.75
0.05N + 0.10(2N - 10) = 2.75
0.05N + 0.20N - 1.00 = 2.75
0.25N - 1.00 = 2.75
0.25N = 3.75
N = 15
D = 2N - 10
= 2(15) - 10
= 30 - 10
= 20
Check:
0.05(55) + 0.10(20) = 2.75
0.75 + 2.00 = 2.75
2.75 = 2.75 [tex]\checkmark[/tex]
Choose the correct correspondence
AD <->
Options
1.Side AD
2.Side AB
3.Side CD
Answer:
AD
Step-by-step explanation:
Looking at triangles ABD and ACD, they appear to be congruent. This means they have corresponding or matching parts which are equal and form each triangle.
The segment AD is the longest segment of triangle ABD. It matches to the longest segment in ACD. This is the same segment AD since the triangles share a side between them.
Answer:
AD <--> AD
Step-by-step explanation:
Hello! Segment AD is corresponding to itself, as it is the longest segment in ABD; it would correspond to itself due to a triangle being erected between them. Hope this helps!
Select the system of linear inequalities whose solution is graphed.
y > 3x – 1; x + 3y < 6
y ≥ 3x – 1; x + 3y ≤ 6
y < 3x – 1; x + 3y > 6
y ≤ 3x – 1; x + 3y ≥ 6
Answer:
[tex]y\geq 3x-1[/tex] ; [tex]x+3y\leq 6[/tex]
Step-by-step explanation:
we know that
step 1
Find the inequality of the solid line x+3y=6
The solution is the shaded area below the solid line
therefore
The equation of the inequality is
[tex]x+3y\leq 6[/tex]
step 2
Find the inequality of the solid line y=3x-1
The solution is the shaded area above the solid line
therefore
The equation of the inequality is
[tex]y\geq 3x-1[/tex]
therefore
The system of linear inequalities is
[tex]y\geq 3x-1[/tex] ; [tex]x+3y\leq 6[/tex]
The correct system of linear inequalities represented by the graph is 'y ≥ 3x – 1; x + 3y ≤ 6'. This means all points that lie on and above the line y = 3x - 1 and also on or below the line x + 3y = 6 are solutions.
Looking at the given options and their corresponding inequalities, it’s evident that the graph must represent an area where y is greater or equal to 3x-1, and also, x + 3y is less than or equal to 6.
Therefore, the correct system of linear inequalities whose solution represents the graph should be:
y ≥ 3x – 1; x + 3y ≤ 6
This suggests that all points that lie on the line y = 3x - 1 and above it and all points that are on the line x + 3y = 6 and below it, make both inequalities true at the same time.
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what is 5 17/18 simplified
Answer:
It is already simplified
Step-by-step explanation:
5 17/18 is already in it's simplest form. Glad to help
A 12-inch ruler is divided into 48 equal parts. What is the size of each part
Answer: .25 inches
Step-by-step explanation: In order to calculate the size of each part you need to divide 12 by 48. 12 inches / 48 = .25. Each part is .25 inches.
Please help solve this problem
Answer:
C. x²
Step-by-step explanation:
With fractions, you can subtract the exponents, therefore the answer is x²
Answer:
C. [tex]x^2[/tex]
Step-by-step explanation:
We want to simplify;
[tex]\frac{x^3}{x}[/tex]
We can rewrite this as
[tex]\frac{x^2\times x}{x}[/tex]
We cancel out the common factors to get;
[tex]\frac{x^2\times1}{1}[/tex]
This simplifies to;
[tex]x^2[/tex]
The correct choice is C.
A clock tower has a large bell that rings on the hour. A visitor measures the edge of the bell and calculates that it has a circumference of 18.84 yards. What is the edge's radius? Use 3.14 for
The radius of the bell's edge is 3 yards.
Explanation:To find the radius of the bell, we can use the formula for the circumference of a circle: C = 2πr, where r is the radius. Given that the circumference is 18.84 yards, we can solve for r. Rearranging the formula, we have r = C / 2π. Plugging in the values, we get r = 18.84 / (2 * 3.14) = 3 yards.
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What is the value of the ratio of the surface area to the volume of the cylinder? 0.38 2.66 0.94 0.7
Answer:
the correct answer is 0.38, I used the other persons answer and got it wrong.
Step-by-step explanation:
anayas team won 5 out of every 7 games this season if the team played 28 games this season how many games did they win
Anaya’s Team won 20 games
Anaya's team won 5 out of every 7 games. Using the proportion principle, we find that the team won 20 out of 28 games in the season.
Explanation:Anaya's team won 5 of every 7 games played. This means, for every 7 games, they won 5 games, which is their win ratio. To find out how many games they won out of the 28 games played in the season, we can set up a proportion and solve it.
Step 1: Setup the proportion: 5/7 = x/28, where x is the number of games won.
Step 2: Solve the proportion for x. Cross-multiply and divide: (5*28)/7 which gives us 20.
So, Anaya's team won 20 games during the season out of the 28 games they played.
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Sam is a waiter at a local restaurant where he earns wages of $6 per hour. Sam figures that he also earns about $2.50 in tips for each person he serves. Sam works 4 hours on particular day.
If n represents the number of people Sam serves that day, which of the following functions causes Sam use to figure E, his total earnings for a day
Answer:
$2.50n + $24 (6x4) = e
Step-by-step explanation:
$6x4 = $24
$2.50n + $24 (6x4) = e
I hope this helps you on your test :)
The function that models the total earnings will be E = 2.50n + 24.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given,
Sam earns $2.50 per person as a tip.
For n number of people the earnings through tip = $2.50n
The earning per hour = $6
For 4 hours the earning = $6 x 4 = $24
Total earning E = 2.50n + 24
Hence "E = 2.50n + 24 will be the model for the total earnings".
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A cook has 11 7/8 cups of flour. He uses 2/3 of his flour on Saturday morning. Estimate how many cups he used. Show how you estimated.
Answer:
11 (if you wanna know how many cups [which i mean by 2/3] it is 1)
Step-by-step explanation:
Well, to start, a cook has 11 7/8 cups of flour, right? Well, if you subtract 11 7/8 by 2/3 you get 11 5/24. As an estimate, you would get just plain 11 because there is three numbers when you estimate, 11, 11 1/2, or 12. 11 5/24 is more closer to 11 (because 1/2 would be 11 12/24, and 12 would be 11 13/24 or more until 12)
Hope it helped...
namely, how many cups is it 2/3 cups of 11⅞ cups?
let's firstly convert the mixed fraction to improper fraction, bearing in mind that two thirds of that much is simply their product.
[tex]\bf \stackrel{mixed}{11\frac{7}{8}}\implies \cfrac{11\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{95}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{95}{8}\cdot \cfrac{2}{3}\implies \cfrac{95}{3}\cdot \cfrac{2}{8}\implies \cfrac{95}{3}\cdot \cfrac{1}{4}\implies \cfrac{95}{12}\implies 7\frac{11}{12}[/tex]
I can't figure this one out.
Answer:
it increase and by 16.7
Step-by-step explanation:
what is the area of this ?????
Answer:600
Step-by-step explanation: all u have to do is 30* 15+5= 600 just like L*W
Answer:
75
Step-by-step explanation:
how i got my answer because if you add all of the number 10+15+15+30+5 your answer will simply be 75 hope for the best and hope for brainlist
a jar containing 100 pennies is dumped onto a table, and all those coming up heads are removed. The remaining pennies are placed back in the jar and the process is repeated several times. The results are listed in the table at the right. what is the equation of the exponential model fits the data?
Sorry, but there is no table to the right. Please put the table.
Which statement describes the value of the expression 15x (8+45)?
where are the statement
The expression (15x(8+45)) simplifies to (795x). Therefore, its value is (795x). What is the value of (795x)?
let's break down the expression step by step:
Given expression: (15x(8+45))
Step 1: Perform the operation inside the parentheses.
[8 + 45 = 53]
Step 2: Multiply the result from step 1 by 15x.
[tex]\[15x \times 53 = 795x\][/tex]
So, the value of the expression [tex]\(15x(8+45)\) is \(795x\)[/tex].
complete question:
What is the value of the expression [tex]\(15x(8+45)\)[/tex]?
Write this ratio as fraction in simplest form 20 ounces to 2 pounds
Answer:
Step-by-step explanation:
Final answer:
To convert the ratio of 20 ounces to 2 pounds into the simplest form, multiply 2 pounds by the conversion factor of 16 to equal 32 ounces. The fraction 20/32 is then simplified to 5/8, which is the simplest form of the ratio.
Explanation:
To convert the ratio of 20 ounces to 2 pounds into a fraction in simplest form, you must first know the unit equivalence between pounds and ounces, which is 1 pound = 16 ounces. Since we are converting pounds to ounces, we multiply the number of pounds by 16. Therefore, 2 pounds is equivalent to 2 x 16 = 32 ounces. Now, we have a ratio of 20 ounces to 32 ounces, which can be expressed as a fraction 20/32. To simplify, both numbers can be divided by the greatest common divisor (GCD) of 4, resulting in 5/8. Thus, the ratio of 20 ounces to 2 pounds in the simplest form is 5/8.