the sum is -7 and the difference is 14

The solution to the system of equations is x = 6 and y = 2.

The system of equations can also be solved using the elimination method.

We are aware that a system of linear equations is a collection of two or more equations with at least two unknown variables. Finding the answers to the unknown variables in a system of equations is the process of solving a linear equation. There are numerous ways to identify the answers to the unknown variables. These include the cross-multiplication method, elimination method, substitution method, and graphic method.

from the question:

A system of equations can be solved in a variety of methods, including substitution, elimination, and matrices. I'll apply the substitution technique here:

x = 8 - y is the result of the first equation.

We can solve for y by substituting this expression for x in the second equation:

-x + 4y = 2

-(8 - y) + 4y = 2 (substituting x = 8 - y)

-8 + 5y = 2 (simplifying)

5y = 10 (adding 8 to both sides)

y = 2 (dividing by 5)

Knowing y, we can now use this quantity to solve one of the initial equations to determine x:

x + y = 8

x + 2 = 8 (substituting y = 2)

x = 6 (subtracting 2 from both sides)

Hence, x = 6 and y = 2 are the answers to the system of equations.

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Answer:

To set up this problem, you have to begin with Newton's second law, F = ma. There are two forces acting on this mass, gravity and air resistance. The force of gravity is constant and equal to -mg, where g = 9.8 m/s^2 and m is the given mass.

Step-by-step explanation:

Answer:

the velocity of the mass when it hits the ground is approximately 58.4 m/s.

Step-by-step explanation:

We can solve this problem using the equations of motion for a particle under constant acceleration. The acceleration of the particle is the sum of the gravitational acceleration and the air resistance force, which is given by 5v:

a = -g + 5v/m

where g is the acceleration due to gravity (9.8 m/s^2) and m is the mass of the particle (50 kg).

Using the initial conditions, we can find the velocity of the particle as a function of time. At t=0 (when the particle is shot from the cannon), the initial velocity is 10 m/s, and the initial position is 100 m above the ground. Therefore, we have:

v(0) = 10 m/s

y(0) = 100 m

Using the equation of motion for the position of the particle, we have:

y = y(0) + v(0)t + (1/2)at^2

where y is the position of the particle as a function of time t.

Solving for t when the particle hits the ground (y=0), we get:

0 = 100 + 10t + (1/2)(-g+5v/m)t^2

Simplifying, we get a quadratic equation in t:

-gt^2/2 + (5v/m)t + 100 = 0

Solving for t using the quadratic formula, we get:

t = (-b ± sqrt(b^2 - 4ac))/2a

where a = -g/2, b = 5v/m, and c = 100. Using the positive solution (since we're interested in the time it takes for the particle to hit the ground), we get:

t = (-5v/m + sqrt((5v/m)^2 + 4g100))/(-g)

Simplifying, we get:

t = (-5v/m + sqrt((5v/m)^2 + 3920))/(-4.9)

Now we can use the equation of motion for the velocity of the particle to find the velocity when it hits the ground:

v = v(0) + at

Substituting the time t we just found and solving for v, we get:

v = 10 + (-g + 5v/m)t

Substituting the value of t we just found and solving for v, we get:

v = 10 + (-g + 5v/m)(-5v/m + sqrt((5v/m)^2 + 3920))/4.9

Simplifying and solving for v, we get:

v ≈ 58.4 m/s

Therefore, the velocity of the mass when it hits the ground is approximately 58.4 m/s.

Answer:

I think z>1.5 because it is not bold and underlined

Answer:

the present value that must be invested to have a future value of $6000 after 6 months at a simple interest rate of 1.45% is approximately $5957.00.

Step-by-step explanation:

To determine the present value P that must be invested to have a future value A at a simple interest rate r after time t, we use the formula:

A = P (1+r)^t

P = A / (1+r)^t

where P is the present value, A is the future value, r is the simple interest rate as a decimal, and t is the time period in years.

In this case, the future value is $6000, the simple interest rate is 1.45% or 0.0145 as a decimal, and the time period is 6 months or 0.5 years.

Substituting these values into the formula, we get:

P = 6000 / (1+0.0145)^0.5 = 5,957.00

= $5957.00 (rounded to two decimal places)

Therefore, the present value that must be invested to have a future value of $6000 after 6 months at a simple interest rate of 1.45% is approximately $5957.00.

The present value P to be invested can be calculated using the reverse of the simple interest formula A = P * (1 + r * t). Given A = $6000, r = 1.45%, and t = 6 months, we can find P by rearranging the formula to P = A / (1 + r * t) and substituting the given values.

To calculate the present value P, which needs to be invested under simple interest to amount to a future value A, we use the formula for simple interest in reverse. The formula is:

A = P * (1 + r * t)

Re-arranging for P:

P = A / (1 + r * t)

where,

Given that A = $6000, r = 1.45% = 0.0145 (per year), and t = 6 months = 0.5 years, the present value P can be calculated as:

P = 6000 / (1 + 0.0145 * 0.5)

Calculate the above expression to determine P.

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By answering the above question, we may infer that Thus, 12 is the result equation of 1/4 times 48.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

You can multiply 1/4 by 48 using the following formula:

1/4 x 48 = (1/4) * 48

The numerator (1) is first multiplied by the integer being multiplied (48):

1 * 48 = 48

Divide the result by the denominator (4) after that:

48 / 4 = 12

Thus, 12 is the result of 1/4 times 48.

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Mech #1 charged 45$/hr and Mech #2 charged 75 $/hr. We can find the solution in the following manner:

Let's make,

mechanic #1's rate = x

mechanic #2's rate = y

Their rate is dollars per hour ($/hr)

Mechanic #1 worked for 20 hours (hr × $/hr = $)

20x = money earned by mechanic #1

And mechanic #2 worked for 15 hours

15y = money earned by mech#2

Together they charged a total of $2175. So the amount of money earned by both mechanics.

20x + 15y = 2175

The sum of the two rates was $120 per hour.

x + y = 120

which means

x = 120- y

Putting (120 - y) in for "x" in the other equation to get everything in terms of one variable.

20(120 - y) + 15y = 2175

Now we can solve for y and get the solution:

20(120 - y) + 15y = 2175

y=45 $/hr

Now use this to solve for x

x + y = 120

x + 45 = 120

x =75

x = 75 $/hr

Mech #1 charged 45$/hr

Mech #2 charged 75 $/hr

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We proved that ΔPQR congruent to ΔSTR and  ΔJKL is congruent to ΔNKM using the given conditions.

What are congruent traingles?

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. A triangle's size and shape are determined by its three sides and three angles, respectively. If pairings of corresponding sides and corresponding angles are equal, two triangles are said to be congruent. They are the exact same size and form. It is necessary for both triangles to be superimposed on one another.

1) Consider triangles ΔPQR and ΔSTR

PQ ≅ ST     -   Given

QR ≅ TR     - Given

R is the midpoint of PS  - Given

PR ≅ SR  - Since R is the midpoint it cuts line PS equally

ΔPQR  ≅ ΔSTR - Since the corresponding sides of the triangles are equal, they are congruent triangles.

2) Consider triangles ΔJKL and ΔNKM

JL ≅ NM     -   Given

K is the midpoint of JN and LM  - Given

JK ≅ NK  - Since K is the midpoint it cuts line JN equally

LK ≅ MK  - Since K is the midpoint it cuts the line LM  equally

ΔJKL  ≅ ΔNKM - Since the corresponding sides of the triangles are equal, they are congruent triangles.

Therefore we proved that ΔPQR congruent to ΔSTR and  ΔJKL is congruent to ΔNKM using the given conditions.

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In response to the aforementioned query, we may say that here, the exponent is [tex](x^2)^5 / (x^3)^2[/tex] = [tex]x^n[/tex] =>  [tex]x^4 = x^n[/tex] =>  so, n=4

Exponentiation, sometimes referred to as "b raised to the nth power," is a mathematical operation that includes two numbers: a base number, b, and an exponent, or power, n. It is represented by the sign bn. A number's exponent reveals how many times it has been multiplied by itself. For instance, the number 2-3 (written as 23) means 2 × 2 x 2 = 8. 2 + 3 = 6 does not equal 23. Remember that an integer multiplied by one equals itself. Exponents are a method for expressing large numbers as powers. The amount that shows how many times a number has been multiplied by itself is called an exponent. As an example, multiplying 6 by 4 results in 6 x 6 x 6.

here, the exponent is

[tex](x^2)^5 / (x^3)^2[/tex] = [tex]x^n[/tex]

[tex]x^{10} / x^{6}[/tex]

[tex]x^{10 - 6}[/tex]

[tex]x^4 = x^n[/tex]

so, n=4

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Given:-

[tex] \: [/tex]

[tex] \: [/tex]

Solution:-

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

Therefore , the value of x is 6 !

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

Answer:

am not sure

Step-by-step explanation:

I will help you but yeh so y=20

The statistical measures for this set of data are as follows:

Minimum: 3

First Quartile (Q1): 8

Median: 13

Third Quartile (Q3): 16

Maximum: 17

Data is information that has been collected and organized to be used for a purpose. It can include numbers, words, images, or any other type of information. Data is used to answer questions, solve problems, and inform decisions. Data can come from a variety of sources such as surveys, experiments, and observations.

A box and whiskers plot can be used to display the distribution of the data set. The box and whiskers plot will use the minimum, maximum, Q1, median and Q3 values to create a visual representation of the data set. The box in the box and whiskers plot is bound by the Q1 and Q3 values, with the median value being represented as a horizontal line inside the box. The whiskers are lines that extend from the box to the minimum and maximum values. The points outside the whiskers are considered outliers in the data set.

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The population of 2 guppy fishes that grows at a rate of 1700% per month indicates;

A population growth formula is a formula of the form; A = P·(1 + r)^t, where, A is the amount after a period of t months, (or days or years), at a growth rate of r.

Number of guppy fish bought = 2

Rate at which guppy populations grow = 1700% per month

The formula that models the population of guppies can be obtained as follows;

The population growth equation is an exponential formula that can be modeled using the following equation;

Where;

A = The number after the number of months

P = The initial population of the guppy fish = 2

r = The percentage growth rate = 1700%

t = The time of growth in months = 4

Therefore, after 4 months the population of guppy fish will be;

A = 2 × (1 + 17)^4 = 209952

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The retailer estimates that about 254,623 regular cell phones will be sold 7 years from now.

Since the retailer estimates that 28% fewer regular cell phones will be sold every year, this means that the number of regular cell phones sold each year will be 72% of the number sold the previous year. We can use this information to find the number of regular cell phones sold 7 years from now as follows:

Let x be the number of regular cell phones sold 7 years from now. Then we have:

x = 0.72^7 * 917160

where 0.72 is the percentage of regular cell phones sold each year.

Using a calculator, we get:

x ≈ 254,623

Therefore, the retailer estimates that about 254,623 regular cell phones will be sold 7 years from now.

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Answer:

91,997

Step-by-step explanation:

y = a(1–r)t

y = 917,160(1–0.28)7 Plug in values

y = 917,160(0.72)7 Subtract

y = 917,160(0.10030…) Simplify

y = 91,996.77023… Multiply

Round to the nearest whole number.

91,996.77023… → 91,997

To the nearest whole number, 91,997 regular cell phones will be sold.

The most effective action that Fatimah can take to reduce the reservoir's amount of water loss is to install an evaporation control system.

What is amount?

Amount is a term used to refer to the quantity or magnitude of something, typically in financial or numerical terms. It can refer to physical items such as money, goods, or services, as well as abstract concepts such as time, distance, or energy. The amount of something is usually determined by measuring, counting, or weighing it.

Evaporation is a major source of water loss in arid regions, as the dry air quickly absorbs the moisture from the reservoir's surface. By installing an evaporation control system, Fatimah can reduce the amount of water lost to evaporation by using a variety of strategies. These strategies can include the use of an impermeable membrane to cover the reservoir's surface, the installation of windbreaks to reduce the speed of the wind over the water, and the use of chemicals to reduce the rate of evaporation. All of these strategies can be used to drastically reduce the amount of water lost to evaporation.

The installation of an evaporation control system can also be relatively inexpensive compared to other solutions. For instance, compared to installing a new water pump system or rerouting water to the reservoir, installing an evaporation control system can be done quickly and at a lower cost. This makes it a more suitable solution for Fatimah's limited budget.

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Hence, a 93% confidence range for the actual proportional difference between the two populations equation (represented by the two samples) is between -0.086 and 0.142.

A mathematical equation connects two statements with the equals sign (=), which stands for equivalence. The equivalence of two mathematical propositions is established by a mathematical assertion that is utilized in algebraic equations. For instance, the equal sign separates the numbers 3x + 5 and 14 in equation 3x + 5 = 14. Use a mathematical formula to understand the relationship between the two sentences written on opposite sides of a letter. Usually, the program's particular logo matches it. A good example is 2x - 4 = 2.

For the initial example:

Sample proportion: 0.649 (p1 = 24/37)

Standard deviation SE1 is equal to

[tex]\sqrt{(p^1*(1-p^1))} /n1=\sqrt{(0.649*(1-0.649))/37)0.087}[/tex]

Regarding the second example:

P2 = 54/87 0.621 is the sample proportion.

The standard deviation SE2 is equal to

[tex]\sqrt{(p^2*(1-p^2))} /n2=\sqrt{(0.621*(1-0.621))/87)0.72}[/tex]

The crucial value for a 93% confidence interval has to be calculated next. We may use the conventional normal distribution and large sample size to obtain the z-value that represents the center 93% of the distribution:

[tex]1.812z=invNorm(\frac{1+0.93}{2} )[/tex]

We can finally determine the confidence interval:

CI is equal to (p1-p2) z*sqrt(SE12 + SE22)

CI is calculated as (0.649 - 0.621) 1.812*sqrt(0.0872 + 0.0722)

CI = 0.028 ± 0.114

CI = (−0.086, 0.142)

The real proportional difference between the two populations (represented by the two samples) thus lies between -0.086 and 0.142, with a 93% confidence interval.

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Some numeric values of the exponential function y = 9(3)^x are given as follows:

To obtain the numeric value of a function or of an expression, we substitute each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for this problem is given as follows:

y = 9(3)^x.

Hence some numeric values of the function are given as follows:

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The correct inequality that represents the allowable measurements the bar can bend is | x - 4.5 | ≤ 0.1 , So correct option is E.

n mathematics, an inequality is a statement that indicates that two values are not equal. It is a relationship between two expressions that can be compared using inequality symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

For example, 5 < 10 is an inequality that indicates that 5 is less than 10. Similarly, x + 3 ≤ 8 is an inequality that indicates that the sum of x and 3 is less than or equal to 8.

Inequalities are used to express relationships between quantities that are not necessarily equal. They can be used to represent constraints, limits, or ranges of values. Inequality statements can be combined with other mathematical expressions, such as equations or inequalities, to create more complex mathematical models.

The correct inequality that represents the allowable measurements the bar can bend is:

| x - 4.5 | ≤ 0.1

This is because the average allowable bend is 4.5 cm with a margin of error of 0.1 cm, which means that the actual allowable bend can range from 4.4 cm to 4.6 cm. The absolute value inequality represents this range of values, with the center of the range being 4.5 cm.

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The calories burned per hour is 30 calories per hour

From the question, we have the following parameters that can be used in our computation:

Calories at 7 = 25 calories

Calories at 9 = 85 calories

Using the above as a guide, we have the following:

Rate = Difference in calories/Difference in time

Substitute the known values in the above equation, so, we have the following representation

Rate = (85 - 25)/(9 - 7)

Evaluate

Rate = 30

Hence, the rate is 30 calories per hour

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Answer:

Step-by-step explanation:

7 + 28 + 7 = 42 units^2     see image below

The expression [tex]\frac{3x^2 + 6x + 3}{x + 1}[/tex] , where x ≠ -1, is equivalent to Option (D) 3x + 3. We can factor the numerator of the expression by first factoring out the greatest common factor of 3.

What is numerator ?

In a fraction, the numerator is the top number that represents the quantity being considered.

Take 3 common from expression:

[tex]3(x^2 + 2x + 1)[/tex]

We can further factor the expression inside the parentheses using the identity [tex](x + 1)^2 = x^2 + 2x + 1[/tex] , giving:

[tex]3(x + 1)^2[/tex]

Therefore, the original expression can be written as:

[tex]\frac{3(x + 1)^2}{x + 1}[/tex]

We can simplify this expression by canceling out the (x + 1) term in the numerator and denominator, leaving us with:

[tex]3(x + 1)[/tex]

So the expression [tex]\frac{3x^2 + 6x + 3}{x + 1}[/tex] , where x ≠ -1, is equivalent to 3(x + 1). This expression represents a straight line with a slope of 3 and a y-intercept of 3.

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Answer:

Seven dozen eggs would equal a total of 84 eggs

Step-by-step explanation:

Answer:

84 eggs

Step-by-step explanation:

1 dozen of eggs = 12 eggs

Then :

1 dozen -------- 12 eggs

7 dozen -------   x eggs

x = (7 x 12) / 1 = 84 eggs

By answering the above question, we may state that As a result, around expressions 10:35 AM, Ariana and Leon began their clothing shopping.

In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions. Any mathematical statement containing variables, numbers, and a mathematical action between them is known as an expression, often known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.  

We must take the time they spent at the mall overall from the moment they departed in order to determine when Ariana and Leon began looking for clothing.

To make adding up the times easier, let's first convert all the times to minutes:

Clothing shopping takes an hour, or 60 minutes.

Restaurant: 55 minutes

In a video arcade, two hours are equal to 120 minutes plus 10 minutes.

Total time spent at the mall is 245 minutes (60 + 55 + 130).

If they left the mall at 1:40, then we need to take 245 minutes away from that time.

1:00 PM minus 245 minutes equals 10:35 AM.

As a result, around 10:35 AM, Ariana and Leon began their clothing shopping.

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The measure of the angle for each letter found by finding the variables representing the angles simultaneously using circle theorems are;

a = 90°, b = 12°, c = 64°, d = 52°, e = 52°, f = 48°, g = 66°, h = 32°, i = 36°, j = 20°

A simultaneous equation consists of two or more equations that consists of the same variables.

The evaluation of the angles in the circle are presented as follows;

a + a = 180° (linear pair angles)

2·a = 180°

a = 180°/2 = 90°

a = 90°

The 32° angle indicates that the base angle of the large isosceles triangle is 2 × 32° = 64°

Angle c is a base angle of the isosceles triangle, therefore, we get;

c = 64°

Angle b + 90° + 78° = 180° (Angle sum property of a triangle)

b = 180° - (90° + 78°) = 12°

b = 12°

In the isosceles triangle with angle 2·b, and the isosceles triangle formed by the radii to the vertices, we get;

2·b + 2·b = f, therefore;

f = 2·b + 2·b = 4·b

f = 4·b

f = 4 × 12° = 48°

f = 48°

The measure of angle g is equivalent to the measure of a base angle of the isosceles triangle with the angle 2·b, with angle f = 48° being a vertex of the triangle, therefore;

g = (180° - 48°)/2 = 66°

g = 66°

Vertex angle of the cyclic quadrilateral with 5·b can be found as follows;

2·f + The vertex angle = 180°

Vertex angle = 180° - 2 × 48° = 84°

Vertex angle = 84°

5·b + 2·h + i + j = 180°

5 × 12 + 2·h + i + j = 180°

60° + 2·h + i + j = 180°

2·h + i + j = 180° - 60° = 120°

2·h + i + j = 120°...(1)

2 × 2·h + 2 × j = 2 × 84°

2·h + j = 84°...(2)

2·f + 5·b + i + 168° = 360°

i = 360° - 2·f + 5·b + 168°

i = 360 - (96 + 60 + 168) = 36

2·h + i + j - (2·h + j) = 120° - 84° = 36°

i = 36°

5·b + 2·h + 2·f + i + j + 84° = 360°

60° + 2·h + 96° + 36° + j + 84° = 360°

2·h + j = 360° - 84° - 36° - 60° - 96°  = 84°

2·h + j = 84°

The two tangent theorem indicates that we get;

90° - 64° = 26°

180° - 2 × 26° = 128°

h = (180° - 128°/2)/2 - 26° = 32°

h = 32°

2·h + j = 84°

j = 84° - 2·h

j = 84° - 2 × 32° = 20°

j = 20°

d = e (Angles subtended by the same chord)

2·c + d = 180°

2 × 64° + d = 180°

d = 180° - 2 × 64° = 52°

d = 52° = e

e = 52°

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Answer:V=L times W times H*V=volume W=width H=heightand you don't actually have to write times you can do the symbol.

Example- if I had a rectangular prism of the width is 5 cubes, the length 8 cubes, and the height 7 cubes(following how many gallons are in a cube 7.5) I would then use my formula. V=LWH- 8 times 7= 56 56 times 5=280 280 times 7.5= 2100V=2100 (that is your answer reply If you didn't mean the volume or you don't get it)

hope it helps :)

Step-by-step explanation:

The answer of the given question based on the mutually exclusive event is the probability of event R3 given event Q is 0.37.

Probability is  branch of mathematics that deals with  study of random events or phenomena. It is concerned with quantifying the likelihood of an event or a set of events occurring. Probability is often expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.

Using Bayes' theorem, we can find the probability of event R3 given event Q as follows:

P(R3|Q) = P(Q|R3)*P(R3)/P(Q)

so, by using the law of total probability:

P(Q) = P(Q | R1) * P(R1) + P(Q | R2) * P(R2) + P(Q | R3) * P(R3)

Substituting the given values, we get:

P(Q) = (0.5 * 0.05) + (0.6 * 0.3) + (0.2 * 0.65)

= 0.0425 + 0.18 + 0.13

= 0.3525

Now, substituting the given values for P(Q | R3) and P(R3), we get:

P(R3 | Q) = (0.2 * 0.65) / 0.3525

= 0.37

Therefore, the probability of event R3 given event Q is 0.37.

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Answer:

Step-by-step explanation:

sorry I don’t know

The best estimate οf the average change in the incοme that is assοciated with gοing tο schοοl fοr an additiοnal year is $3000.

A graph that depicts the relatiοnship between twο extra variables is the mοst cοmmοn way tο plοtting data using a chart. It is alsο permitted tο use hand-drawn οr digitally generated diagrams. Beginning at the οrigin, mοve 2 units tο the right, then 3 units up. In the cοοrdinate plane, the cοοrdinates fοr the pοints 2, 3, and 4 shοuld be shοwn. Explain yοur pοints in detail. Sο, the pink dοt with the letter P represents the number 2.3. Yοu must first prοduce a number line fοr each value in yοur data cοllectiοn befοre yοu can create a line chart.

The scatterplοt suggests that there is a cοrrelatiοn between years οf schοοling and incοme that is favοurable. The graph's pοints οften create an upward slοping pattern gοing frοm left tο right, shοwing that thοse with mοre educatiοn typically earn mοre mοney.

It is impοrtant tο remember that there is still sοme diversity in incοme levels amοng thοse with the same degree οf educatiοn, indicating that the link between educatiοn and incοme is nοt perfectly linear. Other variables, such οccupatiοn, industry, and jοb experience, may alsο be at play and have an impact οn incοme levels.

As, the mοst dense vοlume is in $3000, then the best estimate οf the average change in the incοme that is assοciated with gοing tο schοοl fοr an additiοnal year is $3000.

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Complete question:

The inequality that represents possible values for the number of cupcakes purchased, c, and the number of brownies purchased, b is:

             (c+b) ≥ 15

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal. However several inequalities are utilised to compare the numbers, whether it is less than or higher than. An inequality symbol has non-equal expressions on both sides. It indicates that the expression on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using inequality symbols.

It is given that the least number of cupcakes and brownies that Salma should buy is 15.

Let the number of cupcakes purchased be c and the number of brownies purchased, b.  

Then the total number of cupcakes and brownies is c + b

This sum should be greater than or equal to 15.

Then the inequality is (c+b) ≥ 15

Therefore the inequality that represents possible values for the number of cupcakes purchased, c, and the number of brownies purchased, b is:

             (c+b) ≥ 15

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