Co-prime numbers are those numbers that have only one common factor, namely 1.
Coprimes are pair of numbers that have no common factor other than 1. There should be at least two numbers to form a set of coprimes. Such numbers have only 1 as their highest common factor, for example (4 and 7), (5, 7, 9) are co-prime numbers. It should be noted that concurrent primes need not always be primes. If the only common factor of two numbers a and b is 1, then a and b are coprimes. In this case, (a, b) is considered a prime pair. Minor primes are also referred to as relatively primes. To determine whether any two numbers are co-prime, we first find their greatest common factor (GCF). If their GCF is 1, we can say they are co-prime. Consider the two numbers 5 and 9. The factors of 5 are 1 and 5. The factors of 9 are 1, 3, and 9. The factor that is common to both 5 and 9 is 1. The GCF of (5, 9) = 1. Thus, (5 , 9) is a co-prime pair.
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Mikaela wants to do a poll of everyone at Martin Luther King High School. Which of
these is the best way to get an accurate response?
A.Poll only students in 9th and 11th grades.
B.Poll a random selection of teachers, students and staff.
C.Poll only female teachers and students.
D.Poll only staff who have worked at the school for less than five years.
Poll only students in 9th and 11th grades would be the best way to get an accurate response. Thus, option A is correct.
What is poll?In electoral campaigns, math is frequently used. The goal of polling is to predict how the electorate will vote overall by taking a small sample of voters and extrapolating their results to the entire population. Pollsters must ensure that their sample of respondents is representative of the entire electorate, or if it is not, they must use a variety of statistical techniques to increase the representativeness of their findings.
In essence, this means that a survey is conducted, and not only are respondents' voting intentions recorded, but also their age, gender, race, and other demographics. As a result, it is possible to make predictions about the voting intentions of various social groups.
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26
1 point
N
Rose is filling her swimming pool with water. She needs to pump 2000 gallons into the pool, and the water flows at a rate of r gallons
per hour. Which of the following expresses the amount of time it will take to fill the pool?
2000
2000
T
2000 + T
2000r
T = 2000/r expresses the amount of time it will take to fill the pool.
What is Rate of Gallons?The volume of liquid that can be poured, dispensed, or eaten in an hour is measured in gallons per hour.
It gauges how quickly a liquid may travel from one location to another. The flow rate of liquids in pipes, tanks, and other vessels can be determined using the rate of r gallons per hour.
The flow rate of liquids through pumps and other mechanical devices can also be measured using this technique.
You may calculate the amount of liquid utilized or consumed in an hour using the rate of r gallons per hour.
This can be useful for estimating how much water will be consumed over a certain length of time.
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At the local market Gina bought 2 pounds of apples and a pound of oranges for a total of $5.00. Tom bought 4 pounds of apples and a pound of oranges for a total of $8.00. How much does a pound of apples and a pound of oranges cost each?
A pound of apples and a pound of oranges each cost $2.50.
What is pound?Pound is a unit of weight or mass commonly used in the imperial system of measurement. It is equal to 0.453 kilograms and 16 ounces. It is also known as the avoirdupois pound, which is the most commonly used today. In some contexts, the term "pound" may also refer to a unit of currency, the British Pound Sterling (GBP).
This can be determined by subtracting Gina's total cost from Tom's total cost.
Tom's cost was $8.00, and Gina's cost was $5.00, so 8.00 - 5.00 = 3.00. Since Tom bought 3 pounds of apples more than Gina and the same amount of oranges, the cost of the extra apples is $3.00.
Since each pound of apples and oranges costs the same amount,
then $3.00 divided by 3 pounds is $1.00,
so each pound of apples and oranges costs $2.50.
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The following table how how many pie 4 baking team made at a pie-baking competition. For example, Team Cruty baked 28 pie in 8 hour Which team made pie at a rate of 4. 5 point, 5 per
The team Pie Peace made pies at a rate of 4.5 per hour
The complete data is,
Team Pies Hours
Crusty 28 8
Pie Peace 27 6
Fab bakers 20 4
Yum 26 5
We have from the table provided,
In 8 hours, Team Crusty produced 28 pies.
In 6 hours, Team Pie Peace produced 27 pies.
In 4 hours, Team Crusty produced 20 pies.
In 5 hours, Team Crusty produced 26 pies.
We must divide the number of pies produced by the total time required in order to determine the rate of pies produced.
As a result,
28 pies divided by 8 hours equals 3.5 pies per hour for Team Crusty.
4.5 pies per hour or Team Pie Peace = 27 pies in 6 hours.
20 pies divided by 4 hours yields 5 pies each hour for Team Crusty.
26 pies divided by 5 hours yields 5.2 pies per hour for Team Crusty.
Therefore, team Pie Peace made pies at a rate of 4.5 per hour
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How do you know if the inverse of a function is a function?.
Answer:
function-function relation
Step-by-step explanation:
To determine if the inverse of a function is a function, we can use the horizontal line test.
A function is a set of ordered pairs (x, y) where each x value corresponds to one and only one y value. The inverse of a function is a set of ordered pairs (y, x) where each y value corresponds to one and only one x value.
To use the horizontal line test, we draw a horizontal line on a graph of the original function. If the line intersects the graph in more than one point in any vertical section, the inverse is not a function. But if the horizontal line intersects the graph in at most one point in any vertical section, the inverse is a function.
Another way to check if the inverse of a function is a function is to check that the original function is a one-to-one function, meaning that each x value corresponds to one and only one y value. If the original function is not one-to-one, then the inverse is not a function.
It's also possible to check if the inverse of a function is a function by analyzing the equation of the function. If the original function is a one-to-one function, its inverse is also a function
What is the product of 6x4?.
The product of 6x4 is 24.
A product is the outcome of multiplication in mathematics, or an expression that specifies the factors (numbers or variables) to be multiplied. For instance, the sum of 6 and 5 is 30. (the result of multiplication).
Integers, natural numbers, fractions, real numbers, complex numbers, and quaternions are examples of typical special instances where it is possible to define the product of two numbers or the multiplication of two numbers.
In linear algebra, there are numerous different types of products. Some of them have names that sound confusingly close but have very distinct meanings (outside product, external product), while others have names that sound completely different but basically imply the same thing (outer product, tensor product, Kronecker product). These are briefly discussed in the sections that follow.
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PLEASE HURRY!!!
Question- A circle has a circumference of 10π inches and a center of (9, 2). What is the standard form equation of this circle?
Answers:
A. (x-9)^2 + (y-2)^2 = 10
B. (x-9)^2 + (y-2)^2 = 25
C. (x-9)^2 + (y-2)^2 = 3.14
D. (x-9)^2 + (y-2)^2 = 100
Answer:
[tex]\sf{Choice \;B.\;\; (x-9)^2 + (y-2)^2 = 25[/tex]
Step-by-step explanation:
The standard form equation of a circle with center (a, b) and radius r is
[tex](x-a)^2 + (y-b)^2 = r^2[/tex]
where (a, b) is the center of the circle.
Here we are given that the circle has center (9, 2)
So the equation becomes
[tex](x-9)^2 + (y-2)^2 = r^2\cdots(1)[/tex]
All we have to do is find the radius and we are done
Circumference of a circle with radius r
[tex]= 2 \pi r\\[/tex]
Given circumference [tex]= 10\pi[/tex]
[tex]10\pi = 2\pi r\\\implies r = 10/2 = 5[/tex]
Substitute this into equation (1):
[tex](x-9)^2 + (y-2)^2 = 5^2\\\\(x-9)^2 + (y-2)^2 = 25\\[/tex]
This corresponds to option B.
The equation of a circle is (x - 9) + (y - 2) = 25.
Option B is the correct answer.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
We have,
The equation of a circle is (x - h) + (y - k) = r² _____(A)
Where (h, k) is the center and r is the radius.
Now,
Centre = (9, 2)
This means,
(h, k) = (9, 2) _____(1)
Circumference = 10π
This means,
2πr = 10π
2r = 10
r = 5 in ____(2)
Now,
Substituting (1) and (2) in (A).
(x - h) + (y - k) = r²
(x - 9) + (y - 2) = 5²
(x - 9) + (y - 2) = 25
Thus,
The equation of a circle is (x - 9) + (y - 2) = 25.
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The jazz band sells 30 large boxes of fruit and 75 smallboxes of fruit for a fundraiser
a. Use the Distributive Property to write and simplify an expression for
the profit
b. A large box of fruit costs $7 and a small box of fruit costs $3. What is the juz band's profit?
Jazz Band Makes $785 in Profit.
What is the juz band's profit ?31 huge boxes and 74 little boxes of fruit are sold by the jazz band.
The cost is $x and the price is $20 for each huge fruit box.
Price minus Cost is referred to as profit.
Profit therefore equals 20 - x for one large fruit box.
31 huge fruit boxes at a profit (20 - x)
Each little fruit box costs $10 and costs $10 per small fruit box.
Each tiny fruit box has a profit of 10–y.
74 little fruit boxes worth of profit (10 - y)
For 74 small boxes and 31 large boxes, the overall profit will be:
Profit overall equals 31 (20-x) + 74. (10 - y)
We can reduce the problem above by using the distributive property as follows:
Total profit is equal to 31(20)-31x + 74(10)-74y.
Profit total = 1360 - 31 x - 74 y
Part B)
Each large package is estimated to cost $9.
Accordingly, x = 9.
Each tiny box is stated to cost $4.
Therefore, y = 4.
We can determine the Jazz Band's profit by using the x and y numbers from the profit equation.
Profit of Jazz Band = 1360 - 31(9) - 74. (4)
Jazz Band Makes $785 in Profit
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4. Triangle XYZ with vertices X(-6, 4), Y(0, 6), and Z(-4, 2):
a) 180° counterclockwise rotation about the origin
b) dilation with scale factor of 3/2 centered at the origin
X')
Y')
Z'
a) X'(-6, -4), Y'(0, -6), Z'(-4, -2)
b) X'(-9, -6), Y'(0, -9), Z'(-6, -3)
Rotation and dilation in geometry
This question uses the concepts of rotation and dilation in geometry.For the rotation of 180° counterclockwise about the origin, we will use the rotation formula:
(x, y) → (xcosθ - ysinθ, xsinθ + ycosθ)
Where θ is the angle of rotation.
For our 180° rotation, θ = 180°.
We calculate the new coordinates for each vertex:
X(-6, 4) → X'(-6, -4):
(-6cos180° - 4sin180°, -6sin180° + 4cos180°)
Y(0, 6) → Y'(0, -6):
(0cos180° - 6sin180°, 0sin180° + 6cos180°)
Z(-4, 2) → Z'(-4, -2):
(-4cos180° - 2sin180°, -4sin180° + 2cos180°)
For the dilation of the triangle with a scale factor of 3/2 centered at the origin, we will use the dilation formula:
(x, y) → (kx, ky)
Where k is the scale factor.
For our dilation, k = 3/2.
We calculate the new coordinates for each vertex:
X(-6, 4) → X'(-9, -6):
(-6*3/2, 4*3/2)
Y(0, 6) → Y'(0, -9):
(0*3/2, 6*3/2)
Z(-4, 2) → Z'(-6, -3):
(-4*3/2, 2*3/2)
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Wyatt is typing his science paper. He can type 50 words per minute. Write an equation that shows the relationship between the number of minutes Wyatt types, x, and the number of words he types, y. y=
Answer:
Step-by-step explanation:The equation that shows the relationship between the number of minutes Wyatt types, x, and the number of words he types, y, is:
y = 50x
This equation shows that the number of words Wyatt types is directly proportional to the number of minutes he types. For every 1 minute he types, he types 50 words.
This equation can also be read as "y is equal to 50 multiplied by x" which means that for any given number of minutes, x, that Wyatt types for, the number of words he types will be 50 times that value.
What is the difference of (- 2x + 9) and (3x - 4)
Answer:
[tex]-5x+13[/tex]
Step-by-step explanation:
[tex](-2x+9)-(3x-4)\\=-2x+9-3x+4\\=-5x+13[/tex]
When solving a system of equations with substitution What do we do after solving for one of the variables?.
The same line of equations can be written in two different ways in a dependent equation. The lines that appear when we graph dependent equations are the same.
The solutions to these kinds of equations are infinite rather than fixed.
When the same line is written in two different ways, a dependent system of equations has infinite possible solutions. When attempting to solve for a system of equations, these two scenarios arise. When working through a system of equations, you'll need to keep track of a few words from your vocabulary.
What are examples of dependent equations?A system of equations is formed by the two equations y=2x+5 and y=4x+3. The system's solution is the ordered pair that results from resolving both equations. One solution, an infinite number of solutions, or nothing at all can be found for a system of two linear equations.
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Which of the following could be the vertex of a parabola with x-intercepts of (-12, 0) and (14, 0)?
A: (1, 9)
B: (3, 7)
C: (7, 3)
D: (9, 1)
1. Parker Electronics sold 450 cell phones in January. Since then, their cell phone sales have increased at a rate of 4.75% per month.
a) The exponential function defining the monthly cell phones sold is given as follows: y = 450(1.0475)^t.
b) The predicted amounts are given as follows:
April: 542.October: 716.How to model the exponential function?The general format of an exponential function is given as follows:
y = ab^x.
In which:
a is the initial value.b is the rate of change.The parameters for this problem are given as follows:
a = 450.b = 1 + 0.0475 = 1.0475. (increase of 4.75%).Hence the function is defined as follows:
y = 450(1.0475)^x.
Then the amounts are given as follows:
April: y = 450 x (1.0475)^4 = 542. -> Month 4.October: y = 450 x (1.0475)^10 = 716. -> Month 10More can be learned about exponential functions at https://brainly.com/question/25537936
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Which diagram represents the net of a square pyramid? Choose all that apply.
Option (1) and (3) indicate a net of a pyramid with a square base.
What is meant by square pyramid?Having a square base and four lateral sides, a square pyramid is a type of pyramid in geometry. Having three or more triangle faces that meet above the base and a base, a pyramid is a type of polyhedron (the apex). It is called a pentahedron because a square pyramid is a three-dimensional object with a total of five faces.
We must determine which of the provided diagrams best depicts the net of a square-based pyramid.
Think about the overall net that depicts the pyramid with a square base (as shown in figure 1)
Triangle 3 and triangle 2 are flipped to the left to create the diagram (3).
Diagram (1) is produced by flipping triangles 1 and 3 to their opposite sides.
As a result, Option (1) and (3) indicate a net of a pyramid with a square base.
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What substitution should be used to rewrite 4x12 5x6 14 0 as a quadratic equation U x2 U x3 U x6 U x12?.
The substitution that should be made to rewrite the given equation 4x¹² - 5x⁶ - 14 = 0 as a quadratic equation is (c) U = x⁶ .
The Quadratic Equations can be defined as a type of polynomial equations which has the highest degree of 2 , it is a algebraic equation of the second degree in x .
The given equation is ; 4x¹² - 5x⁶ - 14 = 0 ;
we have to make this equation a quadratic equation ,
If we substitute , U = x⁶ in the given equation ,
we get ;
⇒ 4(x⁶)² - 5x⁶ - 14 = 0;
⇒ 4(U)² - 5U - 14 = 0 ;
the equation becomes ⇒ 4U² - 5U - 14 = 0, which is a quadratic .
Therefore , the substitution of U = x⁶ , should be used .
The given question is incomplete , the complete question is
What substitution should be used to rewrite 4x¹² - 5x⁶ - 14 = 0 as a quadratic equation
(a) U = x²
(b) U = x³
(c) U = x⁶
(d) U = x¹²
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Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x-3y=18
The slope intercept form of a line is,
⇒ y = x - 6
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
The equation is,
⇒ 3x - 3y = 18
Now, We know that;
The slope intercept form of the equation is,
⇒ y = mx + b
Here, The equation of line is,
⇒ 3x - 3y = 18
Take 3 as common,
⇒ 3(x - y) = 18
Divide by 3;
⇒ x - y = 18/3
⇒ x - y = 6
⇒ x - 6 = y
⇒ y = x - 6
Thus, The slope intercept form of a line is,
⇒ y = x - 6
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How do you graph logarithms?.
Step 1: Find some points on the exponential f(x). The more points we plot the better the graph will look.
Step 2: Switch the x and y values to obtain points on the inverse.
Step 3: Determine the asymptote.
Graph the following logarithmic functions. State the domain and range.
A logarithmic scale (or log scale) is a way of displaying numerical facts over a completely extensive range of values in a compact manner—typically the biggest numbers inside the data are loads or even lots of times large than the smallest numbers.
Logarithmic scales are useful for quantifying the relative alternate of a fee in place of its absolute distinction. moreover, because the logarithmic feature log(x) grows very slowly for huge x, logarithmic scales are used to compress massive-scale scientific statistics.
A logarithm is an exponent or power to which a base need to be raised to yield a given quantity. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logo n. for example, 23 = 8; therefore, 3 is the logarithm of eight to base 2, or 3 = log2 eight.
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HELP ME I NEED IT ITS DUE TODAY!!!
Math on the Spot Manda wants to know the distance
between her front door and her neighbor's. She located
points P, Q, and R. How can she find MN?
Answer:
mn = 20ft is the answer (I hope it helps)
2x^ 3 +17x^ 2 +20x+6 is divided by 2 x + 1
Answer:
The quotient is x^2 + 9x + 6 with a remainder of 6.
Step-by-step explanation:
I used the polynomial long division method to divide the polynomial 2x^3 + 17x^2 + 20x + 6 by 2x + 1.
First, I divided the leading coefficient of the dividend (2x^3) by the leading coefficient of the divisor (2x). This gave me x^2 as the first term of the quotient.Next, I multiplied the divisor (2x + 1) by the first term of the quotient (x^2) to get 2x^3 + x^2.I then subtracted this product from the dividend (2x^3 + 17x^2 + 20x + 6) to get 17x^2 + 20x + 6 as the new dividend.I then brought down the next term of the dividend (17x^2) and divided it by the leading coefficient of the divisor (2x) to get 8.5x as the next term of the quotient.I then multiplied the divisor (2x + 1) by this term (8.5x) to get 17x^2 + 8.5x.I subtracted this product from the new dividend (17x^2 + 20x + 6) to get 0.5x + 6 as the new dividend.I brought down the next term of the dividend (0.5x) and divided it by the leading coefficient of the divisor (2x) to get 0.25x as the next term of the quotient.I multiplied the divisor (2x + 1) by this term (0.25x) to get 0.5x.I subtracted this product from the new dividend (0.5x + 6) to get 6 as the remainder.So the quotient is x^2 + 8.5x + 0.25x which simplifies to x^2 + 9x + 6 and the remainder is 6.
Answer:
[tex] \sf x^ 2 +17x^ 2 +20x+6[/tex]
Step-by-step explanation:
[tex] \sf \frac{2x^ 3 +17x^ 2 +20x+6}{ 2 x + 1}[/tex]
2x³/2x = x²
[tex] \sf \frac{x^ 2 +17x^ 2 +20x+6}{ 1}[/tex]
[tex] \sf x^ 2 +17x^ 2 +20x+6[/tex]
What is the degree of mc008 1 jpg 3456?.
mc008-1 jpg 3456 has a degree of 3840.
A degree is a unit of measurement for angles. It is not a SI unit because radians are the SI unit for measuring angles. In general, we measure angles in degrees with a protractor in geometry.
A degree is a unit of measurement for expressing the measurement of an angle. Angles are typically measured in two different units: radians and degrees. Angles are always measured in degrees in practical geometry.
A degree is denoted by the symbol °. (degree symbol). A complete angle in degrees is 360 degrees (sometimes written as 360°), which equals one complete rotation.
As a result, 3456/0.9 = 3840
As a result, mc008-1 jpg 3456 has a degree of 3840.
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Last week, Nico bought 11 shirts and hats for total of $194. Today, Nico bought shirts and hats for total of $120. Assuming neither item has changed price, what is the cost of a shirt dollars?
Answer:
2 dollers
Step-by-step explanation:
120$ +194$ divided by C square is e square so in conclution the sum will eventually be 4$ and 4$÷2= 2$
x+y=4 in slope intercept form
Answer:
y=-x+4
Step-by-step explanation:
have a good day
Answer:
y=-x+4
slope intercept form is y = mx+c
m is 1 and c is 4
y=- x +
Step-by-step explanation:
What type of a straight line will be represented by the system of equation 2x 3y 5 and 4x+ 6y 7?.
A straight line with a positive and constant slope can be represented by the system of equation 2x + 3y = 5 and 4x + 6y = 7.
The line is a linear equation, which is a line of constant slope. The slope of the line is determined by the coefficients of the variables in the equation.
It can be calculated by dividing the coefficient of the x-term by the coefficient of the y-term. In this example, the slope of the line is calculated by dividing 2/3, which is equal to 0.67.
This indicates that the line has a positive slope. The line is a line of best fit, meaning that it will pass through all the points defined by the two equations. The line will also pass through the point of intersection of the two equations, which is the point (2,1).
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Solve the following inequality, show your work.
q+19>49
Answer:
[tex]\boxed{\bf q=30}[/tex]
Step-by-step explanation:
[tex]\bf q+19 > 49[/tex]
Subtract 19 from both sides:-
[tex]\bf q+19-19 > 49-19[/tex]
[tex]\bf q=30[/tex]
________________
Hope this helps!
Have a great day!
Answer:
q>30
Step-by-step explanation:
SolutionThis question tests on Inequality.
Given Information from the question, we have to make sure the left side of the inequality has only q, which is the variable, then we will simplify it.
[tex]q + 19 > 49 \\ q + 19 - 19 > 49 - 19 \\ q > 30[/tex]
Therefore the inequality is q>30.
Tomas buys a bag of 5 peaches for 3. 55. Write ans solve an equation to find how much money, m, Tomas has left
Answer:
Step-by-step explanation:
so if x is the money he had in the beginning, than
m=x-5(3.55)
m=x-$17.75
10. Christian sold tickets to the Golden Knights hockey game. Lower Level seats were $50 each and Upper
Level seats cost $20 each. 2100 people attended and paid $66000. Write a system of linear equations that
can be used to find how many Lower Level seats (x) and how Upper Level seats (y) were sold. How many
of each type of seat were sold?
1500 Lower Level seats and 600 Upper Level seats were sold.
What is linear equation?Linear equation is an equation that can be written in the form ax + b = 0, where a and b are real numbers and x is a variable. In this equation, a is referred to as the coefficient of x and b is referred to as the constant. Linear equations are used to represent relationships between two variables and can be used to solve for either variable. Linear equations are used in many different fields of mathematics, including algebra, calculus, and geometry.
System of linear equations:
50x + 20y = 66000
x + y = 2100
Solving the system of equations gives:
x = 1500
y = 600
Therefore, 1500 Lower Level seats and 600 Upper Level seats were sold.
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A fruit juice company include 1. 751 ounce of juice in a 6. 45
-ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice i NOT juice?
73.14 % of the 6.45-ounce bottle of mixed fruit juice is not juice.
To find out how much of the 6.45-ounce bottle is not juice, we need to subtract the amount of juice in the bottle, which is 1.751 ounces, from the total volume of the bottle, which is 6.45 ounces.
6.45 ounces - 1.751 ounces = 4.699 ounces
So, 4.699 ounces of the 6.45-ounce bottle is not juice.
Alternatively, we can express the answer as a percentage of the total volume of the bottle:
(4.699 / 6.45) x 100 = 73.14 %
So, 73.14 % of the 6.45-ounce bottle of mixed fruit juice is not juice.
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Could someone please help me on this? The answer is NOT c.
Answer:
The answer is D the second quadrant.
Step-by-step explanation:
HAVE A GREAT DAY!!!!!
What is the solution to the equation 5(3x-1)=10?
Answer: x = 1
Step-by-step explanation:
5(3x-1) = 10
Use distributive property and multiply 5 times 3x and 5 times -1.
15x-5 = 10
Move -5 to the right of the equal sign making it positive.
15x = 10+5
Solve.
15x = 15
Divide both sides of the equal side by 15.
15x÷15 = 15÷15
Solve.
x=1
Hope this helps :)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{5(3x - 1) = 10}[/tex]
[tex]\mathsf{5(3x) + 5(-1) = 10}[/tex]
[tex]\mathsf{15x - 5 = 10}[/tex]
[tex]\textbf{ADD 5 to BOTH SIDES}[/tex]
[tex]\mathsf{15x - 5 + 5 = 10 + 5}[/tex]
[tex]\textbf{SIMPLIFY it}[/tex]
[tex]\mathsf{15x = 10 + 5}[/tex]
[tex]\mathsf{15x = 15}[/tex]
[tex]\textbf{DIVIDE 15 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{15x}{15} = \dfrac{15}{15}}[/tex]
[tex]\textbf{SIMPLIFY it}[/tex]
[tex]\mathsf{x = \dfrac{15}{15}}[/tex]
[tex]\mathsf{x = 1}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{x = 1}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
