Consider the system of equations -2x + 3y = -5 and 3x - 4y = 6.
-Describe two different ways to solve the system by elimination. Select ALL that apply.
A) Multiply the first equation by 4, the second equation by 3, and subtract to eliminate y,
B) Multiply the first equation by 3, the second equation by 2, and subtract to eliminate x
c) Multiply the first equation by 3, the second equation by 2, and add to eliminate x.
D) Multiply the first equation by 3, the second equation by -2, and add to eliminate x
E) Multiply the first equation by 4, the second equation by 3, and add to eliminate y
F) Multiply the first equation by -4, the second equation by 3, and add to eliminate y
(Write below which of the letter answer(s) it is)
Two ways of solving the system of equations are:
c) Multiply the first equation by 3, the second equation by 2, and add to eliminate x.E) Multiply the first equation by 4, the second equation by 3, and add to eliminate yWhich two ways can be used to solve the system of equations?Here we want to identify two ways of solving the system of equations:
-2x + 3y = -5
3x - 4y = 6
One way is using the elimination method, then the option E is true, if we multiply the first equation by 4 and the second by 3 and then we add the two equations, the variable y will be eliminated and we could solve the equation for x.
We also could eliminate the variable x, to do so, we need to multiply the first equation by 3 and the second by 2, and add the two equations.
Then option C is also true.
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if the first one to arrive will wait only 20 min before leaving to eat elsewhere, what is the probability that they have dinner at the health-food restaurant? [hint: the event of interest is a
The probability that they have dinner at the health food restaurant is 0.643.
To calculate the probability that the first one to arrive has dinner at the health-food restaurant given that they will wait only 20 minutes before leaving to eat elsewhere, we need to use conditional probability.
Let A be the event that the first one to arrive has dinner at the health-food restaurant, and let B be the event that the first one to arrive waits only 20 minutes before leaving to eat elsewhere.
We want to find P(A|B), the probability that A occurs given that B occurs.
We know that P(A) = 0.3, the probability that the first one to arrive has dinner at the health-food restaurant. We also know that P(B|A) = 0.6, the probability that the first one to arrive waits only 20 minutes before leaving to eat elsewhere given that they have dinner at the health-food restaurant.
To calculate P(B), the probability that the first one to arrive waits only 20 minutes before leaving to eat elsewhere, we need to use the law of total probability:
P(B) = P(B|A) x P(A) + P(B|A') x P(A')
where A' is the complement of A, i.e., the event that the first one to arrive does not have dinner at the health-food restaurant. We know that P(A') = 1 - P(A) = 1 - 0.3 = 0.7, and we are given that P(B|A') = 0.1, the probability that the first one to arrive waits only 20 minutes before leaving to eat elsewhere given that they do not have dinner at the health-food restaurant.
Therefore, we can calculate P(B) as:
P(B) = P(B|A) x P(A) + P(B|A') x P(A')
= 0.6 x 0.3 + 0.1 x 0.7
= 0.21 + 0.07
= 0.28
Finally, we can calculate P(A|B) using Bayes' theorem:
P(A|B) = P(B|A) x P(A) / P(B)
= 0.6 x 0.3 / 0.28
= 0.643
Therefore, the probability that the first one to arrive has dinner at the health-food restaurant given that they will wait only 20 minutes before leaving to eat elsewhere is approximately 0.643 or 64.3%.
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Calculate the problem A sum of money was shared between Mario, Giana and Allan in the 2:3:7. If Allan received $640 more than Giana, find the total sum of money shared
The total amount of money Mario, Giana, and Allan split was $2160. Giana received $640 less than Allan did.
Let x represent the sum of money Mario got.
Giana got three times
Allan got seven times
Total: 2x, 3x, 7x, or 12x.
Allan received $640 more than Giana, therefore
7x = 640 + 3x
4x = 640
x = 160
Total amount split is 12x, or 12 * 160, or $2160.
The total amount of money Mario, Giana, and Allan split was $2160. To determine the overall amount, we must first determine how much money each person received. We know that Giana received three times as much as Mario did, while Allan received seven times as much. So, using 2x, 3x, and 7x, respectively, where x is the amount of money Mario received, we can express how much each person earned.
We may draw up an equation to determine how much money Mario received by taking into account the fact that Allan received $640 more than Giana. It goes like this: 7x = 640 + 3x. x = 160 is the result of solving this equation. Mario thus received $160 whereas Giana received $480 after multiplying 3x by 3 * 160. Allan received $1120 since he was paid $640 more than Giana (7x = 7 * 160). Mario, Giana, and Allan divided the total amount of money as follows: 2x + 3x + 7x = 12x = 12 * 160 = $2160.
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The side length of a square is( 2/3g+1) cm. Use this information to complete parts (a) and (b)
The perimeter of a square with length of a side given as 2/3g + 1 cm is 8/3g + 1 cm.
Let's call the length of a side of the square "s". According to the information given, s = 2/3g + 1 (in cm).
The perimeter of a square is equal to the sum of the lengths of all four sides, so we can write an expression to represent the perimeter as follows:
P = 4s
Substituting the expression for s from above, we get:
P = 4(2/3g + 1)
So, the expression for the perimeter of the square in terms of g is:
P = 4(2/3g + 1)
Therefore, P = 8/3g + 1.
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Complete question: the length of a square is( 2/3g+1)cm use this information to write an expression to represent the perimeter of the square.
Write a rule for the n th term of the sequence for which a = 30 and r= 1/2
A rule for the nth term of the sequence for which a = 30 and r= 1/2 the 5th term of the sequence is 1.875.
What is the geometric sequence?
A geometric sequence is often referred to as geometric progression or geometric series is defined as a sequential pattern of non-zero numbers in which the following number's value is a multiplication from the preceding number by another constant non-zero number.
The rule for the nth term of a geometric sequence is given by the formula:
aₙ = a * r⁽ⁿ⁻¹⁾
where "a" is the first term in the sequence, "r" is the common ratio, and "n" is the position of the term in the sequence.
In this case, we have "a" = 30 and "r" = 1/2. Substituting these values into the formula, we get:
aₙ = 30 x (1/2)⁽ⁿ⁻¹⁾
This is the rule for the nth term of the sequence with the first term 30 and common ratio 1/2.
To find the nth term of the sequence, we simply plug in the value of "n" into the formula. For example, the 5th term of the sequence would be:
a₅ = 30 * (1/2)⁽⁵⁻¹⁾ = 30 * (1/2)⁴ = 30 * 1/16 = 1.875
Therefore, the 5th term of the sequence is 1.875.
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does anybody know the answers for these question?
The functions are solved for the inverses and matched as follows
1. not inverse function
2. not inverse function
3. inverse functions
4. not inverse function
5. not inverse function
6. not inverse function
How to find the inverse of the functions1. g(n) = -1/n + 1 and f(n) = -1/(n - 1)
say y = g(n) = -1/n + 1
y - 1 = -1/n
-y + 1 = 1/n
n = -1/(y - 1)
interchanging the variables
y = -1/(n - 1)
2. The cube root of 4 not in the inverse hence this is not inverse function.
3. g(x) = (x + 2)³ - 3 and f(x) = ∛(x + 3) - 2
say y = g(x) = (x + 2)³ - 3
y + 3 = (x + 2)³
x + 2 = ∛(y + 3)
x = ∛(y + 3) - 2
interchanging the variables
y = f(x) = ∛(x + 3) - 2 this is inverse functions
4.f(n) = 4/(n - 1) - 3 and g(n) = -2/n + 1
say y = f(n) = 4/(n - 1) - 3
y + 3 = 4/(n - 1)
1 / (y + 3) = (n - 1) / 4
4 / (y + 3) = n - 1
4 / (y + 3) + 1 = n
interchanging the variables
y = 4/(n + 3) + 1 this is not inverse functions
5. g(x) = 4/(x - 3) - 2 and f(x) = -2/(x + 1)
say y = g(x) = 4/(x - 3) - 2
y + 2 = 4/(x - 3)
1 / (y + 2) = (x - 3) / 4
4 / (y + 2) = x - 3
4 / (y + 2) + 3 = x
interchanging the variables
y = 4/(x + 2) + 3 this is not inverse functions
6. f(x) = 2/(x - 3) - 1 and g(x) = -3(-x + 2) - 2
say y = f(x) = 2(x - 3) - 1
y + 1 = 2/(x - 3)
1 / (y + 1) = (x - 3) / 2
2 / (y + 1) = x - 3
2 / (y + 1) + 3 = x
interchanging the variables
y = 1/(x + 1) + 3 this is not inverse functions
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A truck that can carry no more than 6500lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 300lb and each piano weighs 475lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 10 refrigerators and 9 pianos overload the truck? Explain.
Answer:
We can write an inequality to represent the weight that the truck can carry:
Weight of Refrigerators + Weight of Pianos <= 6500
Let x be the number of refrigerators and y be the number of pianos. Then we can write:
300x + 475y <= 6500
To determine if 10 refrigerators and 9 pianos would overload the truck, we can substitute the values into the inequality:
300 * 10 + 475 * 9 <= 6500
3000 + 4275 <= 6500
7275 <= 6500
Since 7275 is greater than 6500, this means that 10 refrigerators and 9 pianos would overload the truck.
Graphically, we can plot the points representing the weight of the refrigerators and pianos on the x-y plane, and shade the region below the line representing the inequality to show the combinations of refrigerators and pianos that would not overload the truck. Any point above the line would represent a combination of refrigerators and pianos that would overload the truck.
Hope it helps! : )
Answer:
7275lb
Step-by-step explanation:
Let R be the number of refrigerators and P be the number of pianos. The total weight of the load can be represented as:
Weight = 300R + 475P
The weight must be less than or equal to 6500lb, so we have the inequality:
300R + 475P <= 6500
To graph this inequality, we can first rewrite it in slope-intercept form:
475P <= 6500 - 300R
P <= (6500 - 300R) / 475
Next, we can plot the points (0, 13.68), (22, 0) on the coordinate plane, where (0, 13.68) corresponds to the y-intercept and (22, 0) corresponds to the x-intercept. The graph will be a line that starts at the y-intercept and goes down to the right, passing through (22, 0).
The truck could carry up to 22 refrigerators (when R = 22, P = 0), or up to 13.68 pianos (when R = 0, P = 13.68), or any combination of refrigerators and pianos that results in a weight of less than or equal to 6500lb.
As for the specific case of 10 refrigerators and 9 pianos, the weight can be calculated as:
Weight = 300 * 10 + 475 * 9 = 3000 + 4275 = 7275
This would overload the truck, as the weight of 7275lb is greater than the maximum allowed weight of 6500lb.
< A and < B are complementary angles.
Find the measure of
16
34
46
100
Step-by-step explanation:
Complementary angles add up to 90 degrees, so if one angle is known, the measure of its complement can be found by subtracting it from 90 degrees.
If <A is 16 degrees, then <B is 90 - 16 = 74 degrees.
If <A is 34 degrees, then <B is 90 - 34 = 56 degrees.
If <A is 46 degrees, then <B is 90 - 46 = 44 degrees.
If <A is 100 degrees, then <B is 90 - 100 = -10 degrees. However, angles can't be negative, so this solution is not valid.
Travel agents were designing a marketing program to promote tourism in Canada. To determine the target audience for their program, the travel agents surveyed people across two different age groups about whether they have been to Canada in the past six months. The table below shows the results of the survey.
Answer: 63%
Step-by-step explanation:
22 divided by 35 times 100
Let’s see who gets this right..
What is the total number of digits used to number 1200 pages?
Answer:
The correct answer would be 3693
Step-by-step explanation:
9 + 180 + 2,700 + 804
3693
1200 pages were numbered using a total of 3693 digits.
What is total number?The word "total" refers to the addition of numbers or the destruction of something, and a total is a whole or complete sum. In mathematics, adding two or more numbers yields the sum. When you multiply 8 by 8, you get 16.the total of the acquisition's purchase price plus all future expenses that will be spent, including those for installation, consumables, breakdown, maintenance, and disposal. The sum is the outcome or conclusion of adding two or more numbers or phrases. As a result, the sum is a means of assembling objects. In other terms, the process of adding two or more numbers together to create a new result or total is known as the sum.Total digits equal = the digits in the 1 - digit page numbers + the 2 digit page numbers - digit page numbers + 3 digit page numbers - digit page numbers.
Then simplify,
9 + 180 + 2,700 + 804
= 3693
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Becky is making fruit salad with strawberries and cherries. She has 1.84 pounds of strawberries and 2.62 pounds of cherries. She mixes the two fruits together and then scoops out 0.25 pounds of fruit salad for each serving. What is the greatest number of 0.25 pound servings Becky can make?
The greatest number of 0.25 pound servings Becky can make is 18.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Becky has 1.84 pounds of strawberries and 2.62 pounds of cherries.
Now, number of pounds of salads
= 1.84+2.62
= 4.46 pounds
Becky mixes the two fruits together and then scoops out 0.25 pounds of fruit salad for each serving.
So, the number of servings = 4.46/0.25
= 17.84
≈ 18
Therefore, the greatest number of servings is 18.
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A cylinder has a base diameter of 6m and a height of 12m what is the volume in cubic m, to the nearest tenths place
Answer:
339.3 cubic m
Step-by-step explanation:
r = Base radius
= [tex]\frac{Diameter}{2}[/tex]
= [tex]\frac{6}{2}[/tex] m
Base radius = 3 m
h = Perpendicular height
= 12 m
Volume of a cylinder: [tex]\pi r^{2} h[/tex]
= [tex]\pi (3 m)^{2} (12 m)[/tex]
= [tex]\pi (108)m^{3}[/tex]
= 339.3 cubic m (Rounded to the nearest tenths place)
If 15−−√×a 15 × a is a rational number, what could be the value of a a ? Explain your reasoning
For the given rational number √15 × a = 15 × a the value of 'a' is equal to 0 or ( 1 / 15 ).
The expression is written as :
√15 × a = 15 × a
The above expression is a rational number :
Squaring both the side of the expression we get,
⇒ 15 × a = ( 15 × a )²
⇒ 15 × a = 225 × a²
Divide by 15 on the both the side of the equation we get,
⇒ a = 15 a²
⇒ 15a² - a = 0
⇒ a( 15a - 1 ) = 0
⇒ a = 0 or 15a - 1 =0
⇒ a = 0 or a = 1 / 15
Therefore, the value of a for the given rational number is equal to
0 or ( 1 / 15 ).
The above question is incomplete , the complete question is:
If √15 × a = 15 × a is a rational number, what could be the value of a ? Explain your reasoning.
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Colton's gross pay is $1421.50 and his net pay is $973.48.
What percent of his gross pay is take-home pay?
31.5%
44.8%
46%
68.5%
68.5% of Colton's gross pay is take-home pay. To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and then multiply by 100 to convert the resulting decimal to a percentage.
To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and multiply the resulting decimal by 100 to express it as a percentage. Colton's gross pay is $1421.50 and his net pay is $973.48. Dividing the net pay by the gross pay gives a result of 0.685, or 68.5% when converted to a percentage. This means that 68.5% of Colton's gross pay is take-home pay, or the amount of money that he receives after deductions are made. Therefore, Colton's take-home pay is $973.48, which is 68.5% of his gross pay.
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there are three coins in a box. one is a two-headed coin, another is a fair coin, and the third is a biased coin that comes up heads 80% of the time. (a) when one of these coins were selected at random and flipped, what is the probability that it shows heads? (1 po
The probability of the selected coin showing heads is 0.77, or 77%.
Probability is the measure of the likelihood of an event occurring. In this scenario, we have three coins in a box, each with different properties.
To calculate the probability of an event occurring, we need to divide the number of favorable outcomes by the total number of possible outcomes. In this case, there are three possible coins we could select, each with a different probability of showing heads.
Now, we need to determine the total number of possible outcomes, which is simply the number of coins we have, which is three.
Next, we need to determine the number of favorable outcomes. For Coin 1, the probability of showing heads is 1 (since it has two heads). For Coin 2, the probability of showing heads is 0.5 (since it is a fair coin with equal probability of heads and tails). For Coin 3, the probability of showing heads is 0.8.
To calculate the probability of showing heads when we randomly select one of these coins, we need to weigh the probabilities of each coin being selected with their corresponding probabilities of showing heads.
Let's say that the probability of selecting each coin is equal (since we have no information to suggest otherwise). Then, the probability of selecting Coin 1 is 1/3, the probability of selecting Coin 2 is 1/3, and the probability of selecting Coin 3 is 1/3.
To calculate the overall probability of showing heads, we can use the following formula:
P(heads) = (P(Coin 1) * P(heads on Coin 1)) + (P(Coin 2) * P(heads on Coin 2)) + (P(Coin 3) * P(heads on Coin 3))
= (1/3 * 1) + (1/3 * 0.5) + (1/3 * 0.8)
= 0.77
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Line a is parallel to line b if the measure of <7 Is 114 what is the measure of <1
The measure of ∠1 is 114.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
∠7 = 114
From the figure,
Line a is parallel to line b.
So,
∠7 and ∠1 are alternate exterior angles.
And,
Alternate exterior angles are equal.
So,
∠7 = ∠1 = 114
Thus,
∠1 is 114.
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kareem is trying to decide which college to attend full time next year. kareem believes there is a 55% chance that he will attend state college and a 33% chance that he will attend northern university. the probability that kareem will attend either state or northern is
Kareem's probability of attending either State or Northern is 0.88, meaning there is an 88% chance that Kareem will attend one of the universities.
Probability is a measure of the likelihood of an event occurring.
Kareem's case, the probability of attending State College is 55%, which means there is a 55% chance that Kareem will attend State College. The probability of attending Northern University is 33%, which means there is a 33% chance that Kareem will attend Northern University.
To determine the probability of attending either State or Northern, we add the individual probabilities of each event. Thus, the probability of attending either State or Northern is:
P(State) + P(Northern) = 0.55 + 0.33 = 0.88
The probability of attending either State or Northern is 0.88, which means there is an 88% chance that Kareem will attend one of these universities. It is important to note that the sum of all probabilities of all possible outcomes is always equal to 1.
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carrie went running for 22 minutes and then did a series of exercises for 3 mins
Answer: Her total exercise time was 25 minutes
If you borrow $1,100 for 9 years at an annual interest rate of 4% , what is the total amount of money you will pay back?
jess bought 3.2 yards of fabric and paid 24.96. dollors how much did she pay per yard?
She paid $0.1282051282 per yard - $0.13 ( rounded ).
natasha wants to average at least 90% in math class. her test scores so far are 94%, 89%, 88%, 92%, and 85%. what score does she need to earn on her next test to reach her goal? show your work.
Hey there! Johnny Sins always here to help,
To find out what score Natasha needs to earn on her next test, we can use the following formula:
Average = (sum of all scores) / number of scores
Let's call the score Natasha needs to earn on her next test "x".
Her average so far is:
Average = (94 + 89 + 88 + 92 + 85) / 5 = 90
Her average after her next test will be:
Average = (94 + 89 + 88 + 92 + 85 + x) / 6
Now, we need to set this equal to 90% and solve for x:
90 = (94 + 89 + 88 + 92 + 85 + x) / 6
90 * 6 = (94 + 89 + 88 + 92 + 85 + x)
540 = (94 + 89 + 88 + 92 + 85 + x)
x = 540 - (94 + 89 + 88 + 92 + 85)
x = 540 - 448
x = 92
So, Natasha needs to earn a 92% on her next test to average at least 90%.
_________________________________________________________
No problem for the answer, be sure o give a 5 stars and thanks,
Johnny Sins
A large data set includes samples of body temperatures. Analyzing one sample of body temperatures results in n=107, x=98.19°F, and s=0.624°F. It is
commonly believed that humans have a mean body temperature of 98.6°F. If the analysis is repeated with a different sample and it is found that for 100
randomly generated samples, 38 of these generated samples have a mean that is as extreme as the mean of the actual sample, what should be concluded
about the assumed mean of 98.6°F? (Assume that an event is significant if it has a probability of 0.05 or less.)
Since 38 of the 100 samples have means that are as much as the sample mean, then that sample mean
strong evidence against the assumed mean of 98.6°F. It appears the population mean
▼98.6°F.
so there
The profanity filter refused my answer.
Please find it in the txt file.
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Point B is located at (-4, -6) on the coordinate plane. Point B is reflected over the x-axis to create point B'. Point B' is then reflected over the y-axis to create point
B". What ordered pair describes the location of B"?
Answer:
The ordered pair for point B after it has been reflected over both the x and y-axis is (4, 6).
This is due to the rule for reflecting over the x-axis, which is to negate the value of the y-coordinate of each point, but leave the x-value the same. This means that after reflecting point B over the x-axis, it's new coordinates would be (-4, 6).
The rule for reflecting over the y-axis is to negate the value of the x-coordinate of each point, but leave the y-value the same. This means that after reflecting point B' over the y-axis, it's new coordinates would be (4, 6).
assume you have applied to two different universities (let's refer to them as universities a and b) for your graduate work. in the past, 10% of students (with similar credentials as yours) who applied to university a were accepted, while university b accepted 50% of the applicants. assume events are independent of each other. a. what is the probability that you will be accepted to both universities?
If 10% of students who applied to university a were accepted, while university b accepted 50% of the applicants. The probability of being accepted to both universities is 0.05, or 5%.
The probability of being accepted at University A is 10%, which means the probability of not being accepted at University A is 90% (or 0.9). The probability of being accepted at University B is 50%, which means the probability of not being accepted at University B is 50% (or 0.5).
Since the events of being accepted at each university are independent of each other, we can use the multiplication rule of probability to find the probability of being accepted at both universities.
P(A and B) = P(A) x P(B)
where P(A and B) represents the probability of being accepted at both universities, P(A) represents the probability of being accepted at University A, and P(B) represents the probability of being accepted at University B.
Plugging in the values we have:
P(A and B) = 0.1 x 0.5 = 0.05
Therefore, the probability of being accepted to both universities is 0.05, or 5%. This means that there is a very low chance of being accepted at both universities, given the acceptance rates provided.
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sahalin cellphone plan costs $30 a month.she used 12.5 hours in january
a.what was her cost per minute?
The cost per minute is $0.04.
What is Unit rate?Unit rates are defined as rates that are expressed as multiples of 1, such as 2 feet per second or 5 miles per hour.
Given:
Sahalin cellphone plan costs $30 a month.
In a month of may she used cellphone 12.5 hours.
First convert 12.5 hours in minute.
As we know 1 hour = 60 minutes
So, 12.5 hours = 12.5 x 60
= 750 minutes
and, the cost per minute
= 30/750
= 0.04
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Please help, I’ll give brainliest!
Sage and Tom started the month with the same number of talk minutes on their cell phones. Sage talked for 7 minutes with her dad. Tom talked for 4 minutes with a friend and 3 more minutes with his mom. Do Sage and Tom have the same number of talk minutes left on their cell phone plans?
Question 1
Yes, Sage and Tom have the same number of talk minutes left in their cell phones. The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
The term "arithmetic operations" refers to the four basic mathematical operations that can be used to express any real number. Multiplication, division, addition, and subtraction are the four operations.
We are given that Sage and Tom both started the month with the same number of talk minutes on their cell phones.
So, let 'x' be the number of talk minutes on their cell phones.
Sage talked for 7 minutes with her dad.
So, talk minutes left in Sage's phone = x-7
Tom talked for 4 minutes with a friend and 3 more minutes with his mom.
So, talk minutes left in Tom's phone = x - (4 +3) = x -7
Hence, Sage and Tom have the same number of talk minutes left in their cell phones.
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How do I find the roots of a cubic equation?
Answer:First, we need to find which number when substituted into the equation will give the answer zero. Therefore is a factor. Factorise the quadratic until the expression is factorised fully. Therefore the roots occur when = -3, -2 and 1.
Step-by-step explanation:
Answer:
by reducing it into a quadratic equation and then solving
Step-by-step explanation:
Lavonne sold 4 times as many raffle tickets as Kenneth. Lavonne sold 56 raffle tickets. Write an equation with a variable and solve the equation to find how many tickets Kenneth sold
Equation: 4x = 56
Answer: 14 tickets
Step-by-step explanation:
4x = 56
Lavonne's tickets sold 4 times as many as Kenneth's. This means we would need to multiply Kennneth's ticket by 4 to equal Lavonne's.
4x/4 = 56/4
Now you need to solve the equation by isolating x. Here you have to divide both sides by 4.
x = 14
Kenneth sold 14 tickets.
4(14) = 56
