The angle U is 39 degrees, when W is 41 degrees and V is 100 degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given that a triangle UVW in which the angle W is 41 degrees.
V is 100 degrees.
We have to find the angle U.
By angle sum property we have the sum of three angles is 180 degrees.
∠U+∠V+∠W=180
∠U+100+41=180
∠U+141=180
Substitute 141 from both sides
∠U=180-141
∠U=39 degrees.
Hence, the angle U is 39 degrees, when W is 41 degrees and V is 100 degrees.
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Complete question
In a triangle UVW, the angles W is 41 degrees, V is 100 degrees then what is angle U.
Hi , please help and explain fully ! ( I don't understand how to work this one out)
Find the volume of a triangular prism calculator
To find the volume of a triangular prism, you will need to use the formula V = (1/2)bhL, where V is the volume, b is the base of the triangular prism, h is the height of the triangular prism, and L is the length of the triangular prism.
Volume of triangular prismHere is a step-by-step explanation on how to find the volume of a triangular prism:
Step 1: Find the base of the triangular prism. This will be one of the sides of the triangular base.
Step 2: Find the height of the triangular prism. This will be the distance from the base to the opposite vertex.
Step 3: Find the length of the triangular prism. This will be the distance between the two triangular bases.
Step 4: Plug in the values for the base, height, and length into the formula V = (1/2)bhL.
Step 5: Simplify the equation to find the volume of the triangular prism.
For example, if the base of the triangular prism is 4, the height is 3, and the length is 6, the volume would be:
V = (1/2)bhL
V = (1/2)(4)(3)(6)
V = 36
So, the volume of the triangular prism is 36.
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What is 156lbs to kg ?
From the given information, by using mass conversion, 156 lbs is equal to approximately 70.76 kg.
Mass conversion is the process of converting a given mass from one unit of measurement to another. It involves using a conversion factor to change the numerical value of the mass while keeping the physical quantity constant.
For example, converting a mass from pounds to kilograms involves using a conversion factor of 0.45359237 kg/lb.
To convert pounds to kilograms, you can use the following conversion formula:
1 lb = 0.45359237 kg
So, to convert 156 lbs to kg, you can multiply 156 by 0.45359237:
156 lbs × 0.45359237 kg/lb = 70.76 kg (rounded to two decimal places)
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Pls helppppp its math and its pretty hard
A maintenance worker needs to wax a restaurant floor shaped like the image shown. A six-sided figure. There is a horizontal base of 35 feet then another horizontal base below it of 20 feet. The longest side is to the right and is 40 feet. The top is 30 feet. There is a perpendicular from the vertex of the top to the first base of 35 that is labeled 15 feet. If the wax cost $1.38 a square foot, how much will the wax cost to cover the floor? $1,224.75 $1,569.75 $2,104.50 $2,449.50
Note that the cost of wax that is required to cover the floor is given as = $1.677.39
To arrive at the correct answer, we had to deconstruct the complex shape in regular shapes comprising two rectangles and one right-angled triangle.
What is a Complex Shape in Math?
When disassembled, a composite form (or complex figure), also known as a compound shape, is made up of several separate regular shapes.
Note that the arrive at the correct answer, we need to deconstruct the complex shape in regular shapes comprising two rectangles and one right-angled triangle.
The objective is to add the area of all the shapes which comprise the irregular floor and multiply by the cost of wax per square foot. (See attached Image for Deconstructed Compound Shape.)
Step 1 - Find the area of the Right-Angled Triangle
Recall that the rea of a Right Angled Triangle = 1/2 B*H;
B = 15ft
H = 35ft
Area of Δ = 1/2 * 15 *35
Area of Triangle = 262.5ft
Step 2 - Find the area of the Two Rectangles
Dimensions of Rectangle a are: L = 30ft; B = 15ft
Area = L*B
Area = 30*15
Area of (a) = 450ft
Dimensions of Rectangle b are: L = 25ft: B= 20ft
Area (b) = 25* 20
Area (b) = 500ft
Step 3 - Find the area of the compound shape
Area of the compound shape = Sum of the area of the individual shapes =
262.5ft + 450ft + 500ft
= 1212.5 ft
Step 4 - Find the cost of waxing the floor (compound shape)
This is given as:
$1.38 * Area of Compound Shape
⇒ 1.38 * 1212.5
= $1.677.39
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See the images attached for the missing part of the question
Alberto started out bench pressing 60 pounds. He then added 5 pounds every week. Determine whether the situation is linear or nonlinear, and proportional or nonproportional
Answer
linear
nonproportional
Step-by-step explanation:
Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.
At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.
Answer:
linear
nonproportional
compute the number of ways you can select 3 elements from 7 elements.
a. 343
b. 10
c. 21
d. 35
The number of possible ways in which we can select 3 elements from 7 elements are given in option d. 35.
There are a total of 7 elements and we can to select 3 elements out of them.
We have to apply the permutation and combination here in order to find the answer,
The formula is ⁿCₐ
Where, C represents combination,
n is the total number of combination,
a is the number of selections that we have to do,
ⁿCₐ = n!/(n-a)!a!
Now, putting n = 7 and a = 3,
ⁿCₐ = 7!/(4)!3!
ⁿCₐ = 35
So, the total number of ways possible are 35.
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I’m stuck on this, can smb help me
The only coordinate solution in the table is (8, -9), the other coordinates are not a solution.
Finding the solution to a linear equation.A linear equation is an equation that has a leading degree of 1. Given the linear equation below:
4x + 5y = -13.
We are to determine the coordinates that form a solution.
For (8, -9)
4(8) + 5(-9) = 32 - 45
4(8) + 5(-9) = 13
Hence the coordinate (8, -9) is a solution
The other given coordinates are not a solution since the result on substituting their coordinate will not result in. -13
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In a certain board game, a 12-sided number cube showing numbers 1 through 12 is rolled. In this game, a number cube must be rolled until a number 9 or higher appears. What is the probability that the first such number is on the 3rd roll? startfraction 1 over 27 endfraction startfraction 4 over 27 endfraction startfraction 8 over 27 endfraction startfraction 19 over 27 endfraction.
The probability of rolling a 9 or higher on the 3rd roll is 4/27, or approximately 14.8%.
Probability is a branch of mathematics that deals with determining the likelihood or chance of an event occurring. It is often expressed as a fraction or a percentage.
Conditional probability is the probability of an event happening given that another event has already happened.
The probability of not rolling a 9 or higher on the first roll is 8/12 or 2/3, as there are 8 numbers on the cube that are less than 9.
The same is true for the second roll, so the probability of not rolling a 9 or higher on the first two rolls is (2/3) * (2/3) = 4/9.
The probability of rolling a 9 or higher on the third roll is 4/12 or 1/3, as there are 4 numbers on the cube that are 9 or higher.
So, the probability of rolling a 9 or higher on the third roll given that the previous two rolls did not result in a 9 or higher is
=> (4/9) * (1/3) = 4/27
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Given f(x)=-x+2,find f(4)
Answer:
To find f(4), we simply need to substitute 4 for x in the equation for f(x):
f(x) = -x + 2
f(4) = -(4) + 2
f(4) = -2
Therefore, f(4) = -2.
Step-by-step explanation:
1) James and Sarah work at a restaurant wh
they make $6.25 an hour, plus tips. Last wook
James worked x number of hours and earned
$103.33 in tips Sarah worked y number of hours
and earned $139.45 in tips Sarah determined
that the expression
6.25x 103.356.25y + 139 62
will calculate the amount they earned together.
Which of the following expressions is equivalent
to Sarah's expression?
o 6.25(xy)+242.78
• 6.25r+y+242.78
o 6.25(x+y)+242.78
o 6.25x + 6.25y-242.78
Answer: The equivalent expression to Sarah's expression is:
6.25(x + y) + 242.78
This expression takes into account the total number of hours worked by James (x) and Sarah (y) and adds it to the sum of their tips, which is $242.78. The expression multiplies the total number of hours worked by 6.25, which is their hourly wage.
Step-by-step explanation:
Quadrilateral QRST is shown, with side lengths in inches (in.) and angle measurements in degrees.
2 in.
R
135°
3 in.
√18 in.
45°
S
5 in.
Lynn draws quadrilateral WXYZ, which is similar to quadrilateral QRST, with WX = 5 in
Enter values in the blank boxes to make the statement true.
The length of WZ is
2
degrees.
inches and the measure of angle Y is
The value of length WZ is 7.5 in and angle Y is 45°
What are similar shapes?Similar shapes are enlargements of each other using a scale factor. All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio. E.g. These two rectangles are similar shapes.
therefore;
WZ /QT =WX/QR
represent WZ by x
x/3 = 5/2
2x = 15
x = 15/2
x = 7.5
therefore the value of WZ = 7.5 in
Since the two quadrilaterals are similar angle Y is 45°
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When Xochitl runs the 400 meter dash, her finishing times are normally
distributed with a mean of 84 seconds and a standard deviation of 2.5
seconds. Using the empirical rule, determine the interval of times that
represents the middle 68% of her finishing times in the 400 meter race.
Answer: The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
In this case, the mean of Xochitl's finishing times is 84 seconds and the standard deviation is 2.5 seconds, so the interval that represents the middle 68% of her finishing times is:
[84 - 2.5, 84 + 2.5] = [81.5, 86.5]
So, we can conclude that the middle 68% of Xochitl's finishing times in the 400 meter race fall between 81.5 and 86.5 seconds.
Step-by-step explanation:
i have a question....
The required proportional relationship used to evaluate the measure of segment LM is 9/LM = 6/4.5. Option D is correct.
What are Similar triangles?Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
Here,
Since Triangle HJK is similar to triangle LMN.
The property of similar triangle states that the sides of both the triangle will be proportional to each other.
So,
9/6 = LM/4.5
Or
9/LM = 6/4.5
Thus, the required proportional relationship used to evaluate the measure of segment LM is 9/LM = 6/4.5. Option D is correct.
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y=4x a proportionail relationship
Answer:
If you are asking if y = 4x is proportional, the answer is yes. It is linear and it goes through the origin.
Step-by-step explanation:
how to properly measure the volume of water in a calibrated glass device, such as a graduated cylinder ?
To properly measure the volume of water in a calibrated glass device such as a graduated cylinder, follow these steps:
Place the graduated cylinder on a flat, level surface.Record the volume to the nearest graduation mark, taking care to estimate any volume that falls between two graduation marks.Repeat the measurement several times to ensure accuracy and consistency.If the water is not clear, you may need to compensate for the effects of the air bubbles that are trapped in the water by gently tapping the cylinder. This will release the bubbles and help to give a more accurate reading.Read the scale of the cylinder from the bottom of the meniscus, which is the curved surface of the liquid. The meniscus should be read at eye level to eliminate parallax error.If necessary, adjust the cylinder so that the scale is straight and the meniscus is centred over the scale.Always rinse the graduated cylinder with distilled water before and after each use to prevent contamination and ensure accuracy.To know more about graduated cylinder:
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how many seconds in a year riddle
Number of seconds in a year riddle will be 31,536,000 seconds in a year ((24 x 60 x 60) x 365).
To calculate number of seconds in year riddle, we need to calculate the no. of seconds in each month.
There are a total 12 months and each month consists of 31, 30 and 28 days respectively.
Now, calculating the number of seconds in each month multiplying the count of months with respect to the number of days in that month.
In January, March, May, July, August, October, December : 31x24x60x60=26,78,400x7=1,87,48,800
In Feb: 28X24x60x60=24,19,200
In April, June, September, November: 30x24x60x60=25,92,000x4=1,03,68,000
Now add all the values: No of Seconds in year riddle = 1,87,48,800+24,19,200+1,03,68,000
Totally the value will be equal to 3,15,36,000 seconds.
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A large school district held a district-wide track meet for all high school students. For the 2-mile run, the population of female students participating had a mean running time of 8.8 minutes with standard deviation of 3.3 minutes, and the population of male students participating had a mean running time 7.3 minutes with standard deviation of 2.9 minutes. Suppose 8 female students and 8 male students who participated in the 2-mile run are selected at random from each population. Let īp represent the sample mean running time for the female students, and let M represent the sample mean running time for the male students. What are the mean and standard deviation of the sampling distribution of the difference in sample means īp - TM ? 8.8 +3 V 8 A The mean is 0.4, and the standard deviation is 7.3 B The mean is 0.4, and the standard deviation is 8,8ª 7.3° 8 8 3.3 2.9° The mean is 1.5, and the standard deviation is 8 8 3.3 V 8 D The mean is 1.5, and the standard deviation is 2.9 8 3.3ª 2.9º E The mean is 1.5, and the standard deviation is 8 8
The mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.
Suppose that a random variable X is formed by n mutually independent and normally distributed random variables such that:
Xi = N(μi, σ²) ; i = 1, 2,......, n
And if
X = X1 + X2 +........+ Xₙ
Then, its distribution is given as:
X ≈ N (μ1 + μ2+........+ μₙ)
For this case, it's given that
Distribution of time taken for distance ran by lady is Normal distribution and had a mean handling time of = 8.8 minutes with standard divagation of = 3.3 minutes.
Distribution of time taken for distance ran by joker is Normal distribution and had a mean handling time of = 7.3 minutes with standard divagation of = 2.9 minutes.
Samples of size n = 8 are taken from both population.
Estimated sample mean = population mean
Estimated sample standard deviation = population std. dev / √n
where n = sample size
For sample of females, the distribution is
For sample of males, the distribution is
Also, if we take distribution of difference between sample means(, then it would be normal with mean = 8.8-7.3 = 1.5 minutes (as mean for will be -7.3 but same standard deviation) as factor gets squared for affecting standard deviation and variance)
and standard deviation is:
[tex]\sqrt{s^2f + s^2m } = \sqrt{3.3^2/8 + 2.9^2/8}[/tex]
≈ 1.553 minutes.
The distribution of difference between sample means is approximately
We need [tex]P(Xf - Xm < 0)[/tex]
Thus, the mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.
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Which expression represents the phrase, "half the sum of 10 and a number"?
○ ½x+10
○ ½(10+x)
01/2+10+x
○ 1⁄(10)+x
Answer: 1/2(10+x)
Step-by-step explanation:
"Half the sum of 10 and a number" means 1/2(10+x), where x is the unknown number.
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In circle D, m/EBC = 51°. Solve for x if mEC = (5x - 33)°. If necessary,
round your answer to the nearest tenth.
B
E
The measure of the value of x in the given circle is 27
What is an inscribed angle?In geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle.
Given that a circle D, having an inscribed angle ∠ EBC measuring 51° and an arc covered by it is arc EC measuring 5x-33, we are to find the value of x,
We know that,
The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc.
Therefore,
m ∠ EBC = 2 arc EC
5x-33 = 2×51
5x-33 = 102
5x = 135
x = 27
Hence, the measure of the value of x in the given circle is 27
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The figure is not given, the question is solved for the attached figure.
what are the domain and range of the following quadratic
Answer:
ranalllldooo
Step-by-step explanation:
suiiiiiii
what is the value of x? enter your answer in the box.______ units
The value of x is 8 units by using Pythagorean theorem.
If x and 6 are the lengths of the legs of a right triangle and the length of the hypotenuse is 10, then we can use the Pythagorean theorem to find the value of x.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
So in this case:
x^2 + 6^2 = 10^2
Expanding the squares and solving for x:
x² + 36 = 100
x² = 100 - 36
x² = 64
x = [tex]\sqrt{64}[/tex]
x = 8
So the value of one leg of x is 8 units and other which is given is 6 units.
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____ The given question is incomplete, the correct question is given below:
What is the value of x?
Enter your answer in the box.
x=
A right triangle. The legs are labelled x and six, and the hypotenuse is labelled ten.
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
The total surface area of the rectangular prism represented by the net is 174 inch²
What is a prism?A prism is a solid geometric shape with parallelograms for its sides and two comparable, equal, and parallel rectilinear figures for its ends.
Given:
Length of the base = 9 inch
Width of the base = 3inch
Height of the base = 5 inch
Area of the two rectangular base
= 2 x length x width
= 2 x 9 x 3
= 54 inch²
and, Area of lateral surfaces
= 2 lateral surfaces with length 9 inch + 2 lateral surfaces with width 3 inch
= 2 x 9 x 5+ 2 x 3 x 5
= 120 inch²
So, Total surface area = 54+120 = 174 inch²
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The surface area of the rectangular prism is,
⇒ SA = 174 Square units.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The figure is the net for a rectangular prism.
And, Length = 9 in.
Width = 3 in.
Height = 5 in.
Now, We know that;
The surface area of a rectangular prism is given by,
⇒ SA = 2 (lh +wh + lw ) Square units.
Substitute all the values, we get;
⇒ SA = 2 (lh +wh + lw ) Square units.
⇒ SA = 2 (9×5 + 3×5 + 9×3 ) Square units.
⇒ SA = 2 (45 + 15 + 27) Square units.
⇒ SA = 2 × 87
⇒ SA = 174 Square units.
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Help, ASAP.............
The measure of angle number 1 is 69°.
How to find the measure of ∠1?We know that ∠1 + ∠2 = 180°
We also know that the sum of the interior angles of a triangle is always equal to 180°.
Then we can write simple linear equations to find the missing angles, for example we can write:
21° + 38° + ∠2 = 180°
∠2 = 180° - 21° - 38°
∠2 = 121°
Now we can replace that in the original equation ∠1 + ∠2 = 180°:
∠1 + 121° = 180°
∠1 = 180° - 121° = 69°
∠1 = 69°
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Write the linear equation for the graph below.
pls help i’m failing mathhh:(
Answer: y = 6x
Step-by-step explanation:
Answer:
y = 6x
In real-world terms
x = number of sandwiches
y = total cost of x sandwiches in dollar amounts
Step-by-step explanation:
The first piece of advice I have for you is to have confidence in yourself that you will succeed. That is what learners and tutors here at brainly are for. To help out.
Now to explanation of the problem and solution
The linear equation of a graph can be written in a couple of ways. On ios the standard form which is of the form
Ax + By = C where A, B and C are constants
The other is in slope-intercept form which is written as
y = mx + b
Here m is the slope which is also referred to as rise/run. I will explain these terms as we solve the problem
b is the y-intercept. This is the y-value at which the line crosses the y-axis. It corresponds to the value of y when x = 0
Sometimes the graph will not show the complete line so we cannot determine where the line crosses the y-axis. In this case this determination is a cinch
Looking at the graph, we see the line crosses the y-axis at (0,0) which is the origin
Therefore the y-intercept is 0 and hence b=0
Hence we get the line equation as
y = mx + b
==> y = mx + 0
==> y = mx
Let's find m, the slope:
Take any two points on the line. Here two points have been identified as (1, 6) and (4, 24)
The difference in y-values for these two points is 24 - 6 = 18.
This difference in y-values is known as the rise since it is measured vertically
The corresponding difference in x values is 4 - 1 = 3
This is referred to as run because it is measured horizontally
The slope m = rise/run
Here m = 18/3 = 6
Therefore plugging in m = 6 the equation in slope-intercept form is
y = 6x
Slope has another meaning. It signifies the rate of change
In this particular case in real-world terms it means that the cost of sandwiches is proportional to the number of sandwiches
Every sandwich you purchase will cost you $6 more
So the cost per sandwich is $6
For 1 sandwich -→ $6,
For 2 sandwiches → $12
For 7 sandwiches → $42
and all this is clearly evident in the graph
Hope that helps you and good luck on all your subjects
The sum of 4 44 consecutive integers is 198 198198. What is the fourth number in this sequence?.
With the sequence having sum of four consecutive integers as 198 , the fourth integer in the sequence is calculated to be 51.
Let's call the first integer in the sequence "x". Since the integers are consecutive, the next three integers in the sequence would be "x + 1", "x + 2", and "x + 3". The sum of these four integers can be represented as:
x + (x + 1) + (x + 2) + (x + 3) = 198
Expanding and simplifying the left side of the equation, we get:
4x + 6 = 198
Subtracting 6 from both sides of the equation, we get:
4x = 192
Dividing both sides of the equation by 4, we get:
x = 48
So the first integer in the sequence is 48. To find the fourth integer in the sequence, we add 3 to the first integer:
x + 3 = 48 + 3 = 51
So the fourth integer in the sequence is 51.
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Math!!! 100 points
circle all graphs that show a proportional relationship
PLEASE HELP!! WILL MARK YOU BRAINLIEST!!! LOTS OF LOVE!!! ♡♡
1) Andrea bought tacos from a food truck and left a 25% percent tip of $2.00
What was the price of Andrea's tacos, before tip?
2) Savanna had 40 iris blooms last year. This year, she had 15% more iris blooms.
How many more iris blooms did Savanna have this year?
1. Answer: The price of Andrea's tacos is $8.
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
Tip amount: $2.0
Percentage: 25% = 0.25 (decimal form, 25/100=0.25)
So, if we multiply the taco's price (x) by the percentage (0.25) we will obtain the amount of the tip (2).
Mathematically speaking:
x (0.25) = 2
Solving for x
x = 2/0.25
x = 8
The price of Andrea's tacos is $8.
2. To solve this problem what you can do is the following rule of three:
40 iris blooms -----> 100%
x iris blooms -------> 115%
Clearing the value of x we have:
x = (115/100) * (40)
x = 46
Then, comparing with last year we have:
40-46 = 6
Answer:
Savanna had this year 6 more iris blooms than last year.
The price of a $250 coat decreased 10% last year. What is the price of the coat this year?
Answer: $225. If the price of the coat was $250 last year, then the coat costs $225 this year.
Step-by-step explanation:
Since the coat costed $250 last year, it is 100% of its original.
Now that it has decreased 10%, it is 100%-10%=90% of its original price.
The new price of the coat will be (90% ÷ 100%) × $250 = $225
Julie wants to make an open-top box by cutting out corners of a square piece of cardBoard and folding up the sides. The cardboard is 10 centimeters by 17 centimeters. The volume V(x) in cubic centimeters of the open-top box is a function of the side length x in centimeters of the square cut outs
V(x) = (10 - 2x)(17 - 2x)(x)
The volume of the box when x = 3 is 132 cubic centimeters.Find the volumeTo find the volume of an open-top box, we need to find the product of its length, width, and height. In this case, the length and width of the box will be the original dimensions of the cardboard minus twice the side length of the square cutouts, and the height will be the side length of the square cutouts.
a) The expression for V(x) can be written as:
V(x) = (10 - 2x)(17 - 2x)(x)
b) To find the volume of the box when x = 3, we simply need to plug in the value of x into the expression for V(x) and simplify:
V(3) = (10 - 2(3))(17 - 2(3))(3)
V(3) = (10 - 6)(17 - 6)(3)
V(3) = (4)(11)(3)
V(3) = 132
Therefore, the volume of the box when x = 3 is 132 cubic centimeters.
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If 5 is subtracted from a number and this difference is tripled, the result is 3 more than the number. Find the number
The outcome is three more than the number, which is 9 if five is taken away from it and the difference is tripled.
What kinds of numbers are there in math?Whole Numbers: The collection of natural numbers that include the number 0. Integers are whole integers that are next to their counterparts (negative numbers). Real numbers would be any integers that can be stated as fractions. Any number that cannot be expressed as a fraction is irrational.
What are numbers and their many types?Many operations, like measuring, counting, and indexing, require the use of numbers. According to their characteristics, there are several sorts of numbers, including natural numbers, whole figures, rational or irrational numbers, integers, actual values, complex numbers, and even odd numbers, etc.
Let the number be y
5 is subtracted from the number. This can be written as:
y – 5
The difference is tripled. This can be written as:
3(y – 5)
The result of the difference tripled is 23 more than the number. This can be written as:
3(y – 5) = 3 + y
Thus, we can obtain the value of y as follow:
3(y – 5) = 3 + y
Clear bracket
3y – 15 = 3 + y
Collect like terms
3y – y = 3 + 15
2y = 18
y = 18 / 2
y = 9
Thus, the number is 9.
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