rewrite each expression as a single fraction
Answers
QUESTION
Re-write each expression as a single fraction
\(a)\frac{3}{8}-\frac{1}{6}\text{ b) }\frac{4}{5}+\frac{3}{5}\text{ c)}\frac{5}{9}-\frac{1}{5}\)ANSWER
To solve the (a) part
first we will find the LCM of 8 and 6
The LCM of 8 and 6 is 48
So we will now begin, We will divide 48 by 8 then multiply the result by 3, like wise we will divide 48 by 6 and then multiply the result by 1
That is;
\(\frac{3}{8}-\text{ }\frac{1}{6\text{ }}\text{ = }\frac{18\text{ - 8}}{48}=\text{ }\frac{10}{48}\)We can reeduce the resulting fraction
\(\frac{10}{48}\text{ = }\frac{5}{24}\)Solution to (b)
In the b) part, we don't need to find the LCM, because the denominators are the same, we will just go ahead and add
we will add the numerators and then just take one of the denominator
That is:
\(\frac{4}{5}+\text{ }\frac{1}{5}=\frac{5}{5}\text{ = }\frac{1}{1}\)solution to c)
To solve c) we will follow the steps in a)
We will first find the LCM, then divide their LCM with the denominator and multiply the results with the numerators
That is :
\(\frac{5}{9}-\frac{1}{5}\text{ = }\frac{25-9}{45}\text{ = }\frac{16}{45}\)we can't reduce the resulting fraction, so that's the final result.
Related Questions
in arthmetic sequence;
a1+a4+a7+a10=50. then, a1+a2+a3...+a10=?
Answers
Answer:
125
Step-by-step explanation:
For arithmetic sequence: aₙ = a₁ + (n-1)d Sₙ = n/2 * (a₁ + aₙ)
a1+a4+a7+a10 = a₁ + (a₁ + 3d) + (a₁ + 6d) + (a₁ + 9d) = 4a₁ + 18d = 2 * (2a₁ + 9d)
2 * (2a₁ + 9d) = 50
2a₁ + 9d = 25
a1+a2+a3...+a10 = 10/2 * (a₁ + a₁₀) = 5 * (a₁ + a₁ + 9d) = 5 * (2a₁ + 9d)
a1+a2+a3...+a10 = 5 * 25 = 125
Order the expressions by choosing <, >, or =.
Answers
On comparing the given expressions we get-
\(9^{-2} < (\frac{1}{9}) ^{-1}\)
\((\frac{1}{9}) ^{-1} < (\frac{1}{9}) ^{-2}\)
\(9^{-1} > 9^{-2}\)
Here, we are given 3 pairs of expression. Let us evaluate them one by one.
\(9^{-2}\) _ \((\frac{1}{9}) ^{-1}\)
The negative exponent means that the base is the reciprocal raised to a positive power. Thus, \(9^{-2}\) can be written as- \((\frac{1}{9}) ^{2}\) = 1/81
similarly, \((\frac{1}{9}) ^{-1}\) can be written as- \((9}) ^{1}\) = 9
Thus, the expression becomes-
1/81 _ 9
clearly we can see that 1/81 < 9
Now, we have \((\frac{1}{9}) ^{-1}\) _ \((\frac{1}{9}) ^{-2}\)
As shown above, the expression can be simplified as-
\((9) ^{1}\) _ \((9) ^{2}\)
9 _ 81
clearly we can see that 9 < 81
Next, we have- \(9^{-1}\) _ \(9^{-2}\)
we can write this as-
1/9 _ 1/81
Clearly, 1/9 > 1/81
Hence, we have solved the given inequalities.
Learn more about inequalities here-
https://brainly.com/question/25275758
#SPJ1
A family recipe calls for sauce and oregano. The table below shows the parts of sauce to oregano used to make the recipe.
Servings - - - Sauce (cups) - - - Oregano (tsp)
- - - 3- - - - - - - - - - - 6 - - - - - - - - - - - - - -1 & 1/2
8---
At this rate, how much sauce and oregano will be needed to make 8 servings?
A) The recipe will need 16 cups of sauce and three and a half teaspoons of oregano for 8 servings.
B) The recipe will need 16 cups of sauce and 4 teaspoons of oregano for 8 servings.
C) The recipe will need 14 cups of sauce and 4 teaspoons of oregano for 8 servings.
D) The recipe will need 14 cups of sauce and three and a half teaspoons of oregano for 8 servings.
Answers
The correct answer is A) The recipe will need 16 cups of sauce and three and a half teaspoons of oregano for 8 servings.
To determine the amount of sauce and oregano needed to make 8 servings, we can use the ratio of sauce to oregano from the table.
According to the table, for 3 servings, 6 cups of sauce are used along with 1 & 1/2 teaspoons of oregano. We need to find the ratio of sauce to oregano to scale it up for 8 servings.
Ratio of sauce to oregano:
6 cups of sauce / 1 & 1/2 teaspoons of oregano = 6/1.5 = 4 cups of sauce per teaspoon of oregano
Now, for 8 servings, we need to multiply the ratio by the number of teaspoons of oregano required:
8 servings * 1 teaspoon of oregano = 8 teaspoons of oregano
Therefore, for 8 servings, we would need:
8 teaspoons of oregano * 4 cups of sauce per teaspoon of oregano = 32 cups of sauce
Therefore, the correct answer is A) The recipe will need 16 cups of sauce and three and a half teaspoons of oregano for 8 servings.
For more questions on sauce
https://brainly.com/question/20601435
#SPJ8
help asap! Giving brainliest
The table below shows the ratio of a bird's brain to body weight.
Brain (part) 0.6 B 1.8 E
Body (part) A 14.3 19.8 33
Total (whole) 7.2 C D 36
Which table shows the correct missing values?
Brain (part) 0.6 1.3 1.8 3
Body (part) 6.6 14.3 19.8 33
Total (whole) 12.6 27.3 37.8 36
Brain (part) 0.6 1.2 1.8 3
Body (part) 1.2 14.3 19.8 33
Total (whole) 7.2 15.6 21.6 36
Brain (part) 0.6 1.2 1.8 3
Body (part) 6.0 14.3 19.8 33
Total (whole) 6.6 15.5 37.8 36
Brain (part) 0.6 1.3 1.8 3
Body (part) 6.6 14.3 19.8 33
Total (whole) 7.2 15.6 21.6 36
Answers
The complete table is given as follows -
Brain (part) 0.6 1.3 1.8 3
Body (part) 6.6 14.3 19.8 33
Total (whole) 7.2 15.6 21.6 36
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that an interior designer recently spent £1359.55 buying 25 kettles and 20 toasters for a smaller group of new houses. For her current assignment she needs 80 kettles and 56 toasters.
The given table is -
Brain (part) 0.6 B 1.8 E
Body (part) A 14.3 19.8 33
Total (whole) 7.2 C D 36
We can write the expressions as -
0.6 + A = 7.2 .... Eq( 1 )
A = 6.6
1.8 + 19.8 = D .... Eq( 2 )
21.6 = D
E + 33 = 36
E = 3 .... Eq( 3 )
Therefore, the complete table is given as follows -
Brain (part) 0.6 1.3 1.8 3
Body (part) 6.6 14.3 19.8 33
Total (whole) 7.2 15.6 21.6 36
To solve more questions on algebraic expressions, visit the link below -
brainly.com/question/1041084
#SPJ1
What is 0.672 in a  percent pls help
Answers
Answer:
67.2% or if your rounding to a whole number it’s 67%
Step-by-step explanation:
Move the dot (decimal) over 2 digits to the right —>
The first term of a linear sequence is 3 and the 18th term is 31. Find the common difference
Answers
Answer:
i dont know sorry
Step-by-step explanation:
Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 4p − 7 ≥ 9p + 8 true.
PLS HELP ME
Answers
The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5
Let's solve the inequality first
4p -7 \(\geq\) 9p +8
Taking p's on the same side we will get :
-7 - 8 \(\geq\) 9p - 4p
-15 \(\geq\) 5p
Divide by 5 into both sides
-3 \(\geq\) p
i.e. p \(\leq\) -3
Therefore p must be less than or equal to -3
From the set, we have the numbers -3,-4,-5 which are less than or equal to -3
Hence the integers -3,-4,-5 will make the inequality 4p-7 \(\geq\) 9p+8 true
To learn more about inequality:
https://brainly.com/question/30238989
5 2/5 as a mixed number
Answers
Answer:
Mixed numbers have a whole number followed by the fraction (2 1/2). You would say "two and one half." The other format is an improper fraction where the numerator is greater than the denominator (5/2). Mathematicians would say that is five halves.
Answer:
27/5 I think um I have to fill out the question so ya
Q1. An industry analyst wants to compare the average salaries of two firms, both to each other and to the industry. Firm A's average salary is 93% of the industry average, Firm B's average salary is $58,000, and the industry average salary is 96% of Firm B's average salary. a. Determine the industry average salary. b. Determine Firm A's average salary. c. Express Firm B's average salary as a percentage of Firm A's average salary. Round the percentage to two decimals.
Answers
a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.
a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:
Industry Average Salary = 96% of Firm B's Average Salary
= 0.96 * $58,000
= $55,680
b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:
Firm A's Average Salary = 93% of Industry Average Salary
= 0.93 * $55,680
= $51,718.40
c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:
Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100
= ($58,000 / $51,718.40) * 100
≈ 112.27%
For more such questions on Industry Average Salary
https://brainly.com/question/28947236
#SPJ8
the factor of 70
the common factor of 70
\(the factor of 70\)
Answers
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70.
What is a factor?
A factor is a number that completely divides another number. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product because the product is divisible by them.
Multiplication and division are the two techniques for determining factors. Rules of divisibility can also be applied.
The given number is 70.
70 is completely divisible is 1.
70 is completely divisible is 2.
70 is completely divisible is 5.
70 is completely divisible is 7.
70 is completely divisible is 10.
70 is completely divisible is 14.
70 is completely divisible is 35.
70 is completely divisible is 70.
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70.
To learn more about a common factor of a number, click on the below link:
https://brainly.com/question/12227957
#SPJ1
Last week Holly took a math test. She got 98 out of 123 question correct. What percentage did Holly get correct? Round to the nearest hundredth.
Answers
Answer:
79.67%
Step-by-step explanation:
To find the percentage correct, take the number correct over the total
98/123
.796747967
Change to a percent by multiplying by 100 %
79.6747967%
Round to the nearest hundredth
79.67%
Answer:
79.67%
Step-by-step explanation:
percent = part/whole * 100%
percent = 98/123 * 100%
percent = 79.67%
Your income is R18 000 per month. How much can you pay on a house? (1)
Answers
The amount more in income tax that Cho pays than Helen each month would be £56.
Here, we have,
First, find Helen's yearly salary :
= 1, 720 x 12
= £ 20, 640
Both Cho's and Helen's annual salaries fall within the Basic rate tax bracket.
Cho 's monthly tax would be:
= (( 24, 000 - 12, 570 ) x 20 % ) / 12
= £ 190. 50
Helen's monthly tax :
= (( 20, 640 - 12, 570 ) x 20 % ) / 12
= £ 134.50
The difference is therefore :
= 190. 50 - 134.50
= £56
Find out more on income tax at
brainly.com/question/20704728
#SPJ1
complete question:
You can use these steps to work out the amount of income tax you pay each month.
Work out
monthly salary - 987.5
Work out
answer to Step 1 +5
Step 1
Step 2
Cho has a salary of £24 000 per year.
Helen has a salary of £1720 per month.
How much more income tax does Cho pay than Helen each month?
For a science project, Daniel planted 51 flower seeds. Of those seeds, 12 did not grow at all. Of the seeds that did grow, 2/3 of them grew green tomatoes. How many green tomatoes grew?
Answers
Answer:
34
Step-by-step explanation:
51*2/3=34
Answer:
26
Step-by-step explanation:
Do 51-12 first because those did not grow which is 39. Then divide 39 by 3 and you get 13. That is one third of the plants that grew, so you now have to multiply by two. 13 times 2 is 26, so that would be your answer.
Calcular los 3/5 de los 2/3 de las 3/4 de 560
Answers
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
Find out more on fractions here: https://brainly.com/question/78672
#SPJ1
An equation is shown below: 6(2x-11)+15=21Write the steps you will use to solve the equation and explain each step
Answers
Answer: x = 6
Given the equation: 6(2x - 11) + 15 = 21
Step 1: Open the parenthesis using the distributive property
6* 2x - 6*11 + 15 = 21
12x - 66 + 15 = 21
Step 2: Collect the like terms
12x = 21 - 15 + 66
12x = 72
Step 3: Divide both sides by 12
12x/12 = 72/2
x = 6
The answer is 6
In a normal distribution of 1027 values, the mean is 75 and the standard deviation is 8. What is the closest number of values that would be above 91?
A) 26
B) 2567
C) 976
D) 51
Answers
Answer: 26
Step-by-step explanation:
The closest number of values above 91 is 23.
We have,
To find the closest number of values that would be above 91 in a normal distribution with a mean of 75 and a standard deviation of 8, we need to calculate the z-score for the value 91 and then find the proportion of values above that z-score.
The formula for calculating the z-score is:
z = (x - mean) / standard deviation
where x is the value of interest, the mean is the mean of the distribution, and the standard deviation is the standard deviation of the distribution.
In this case,
x = 91, mean = 75, and standard deviation = 8.
Plugging these values into the formula, we get:
z = (91 - 75) / 8 = 2
To find the proportion of values above a z-score of 2, we can refer to the z-table or use a calculator that provides the cumulative distribution function (CDF) for the standard normal distribution.
Looking up the z-score of 2 in the z-table or using a calculator, we find that the proportion of values above a z-score of 2 is approximately 0.0228.
To determine the number of values above 91 in a distribution of 1027 values, we multiply the proportion above 91 (0.0228) by the total number of values (1027):
Number of values above 91 = 0.0228 x 1027 ≈ 23.47
Since we are looking for the closest whole number, the closest number of values above 91 would be 23.
Therefore,
The closest number of values above 91 is 23.
Learn more about normal distribution here:
https://brainly.com/question/31327019
#SPJ1
what is the inverse function of f(x)=-1/4x +5 Select all that apply
A: f1^1(x)=-x/5+4
B: f1^1(x)=-4(x-5)
C: f1^1(x)=-4x-5
D: f1^1(x)= -4x+20
Answers
Need help on this question thanks
Answers
Answer:median
Step-by-step explanation: because median is used to be in the middle so those are numbers that would be in the middle, and if you add them up it would contain a high amount of number but if you subtract half you get your answer, and your Welcom!
Choose the system of inequality's that matches the graph
Answers
Many fire stations handle emergency calls for medical assistance as well as calls requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.63. This can be expressed as
P(call is for medical assistance) = 0.63.
(b) What is the probability that a call is not for medical assistance?
(c) Assuming that successive calls are independent of one another, calculate the probability that two successive calls will both be for medical assistance.
(d) Still assuming independence, calculate the probability that for two successive calls, the first is for medical assistance and the second is not for medical assistance.
(e) Still assuming independence, calculate the probability that exactly one of the next two calls will be for medical assistance. (Hint: There are two different possibilities. The one call for medical assistance might be the first call, or it might be the second call.)
Answers
(b) The probability that the call is not for medical assistance = 0.37
(c) The probability that two successive calls will both be for medical assistance = 0.3969
(d) The probability that the first is for medical assistance and the second is not for medical assistance = 0.2331
(e) The probability that exactly one of the next two calls is going to be for medical assistance = 0.4662
Define Probability.The probability of an event is the proportion of favourable outcomes to all other possible outcomes. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability:
Probability (Event) = Positive Results/Total Results
= x/n
Given P (call for medical assistance) = 0.63
This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.63 or 63%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:
P (Not Medical Assistance) = 1 - P (Medical Assistance)
= 1 - 0.63
= 0.37
Now, assuming that successive calls are independent of one another, the probability that two successive calls will both be for medical assistance will be:
P (2 calls for medical assistance)
= 0.63 × 0.63
= 0.3969
The probability that the first is for medical assistance and the second is not for medical assistance will be:
P (1st for medical assistance × 2nd for not medical assistance)
= 0.63 × 0.37
= 0.2331
The probability that exactly one of the next two calls is going to be for medical assistance will be:
P (Exactly 1 call for medical assistance)
= (0.63×0.37) + (0.63×0.37)
= 0.2331 + 0.2331
= 0.4662
To know more about probability, visit:
https://brainly.com/question/30034780
#SPJ1
What number does 0.023 round to when rounded to the nearest hundredth?
Answers
Answer:
.02
Step-by-step explanation:
Asked has saved $27 in bills to buy a bicycle helmet. Which set of bills represent the $27 Aksel has saved?
Answers
Answer:
A $20
A $5
And 2 ones.
add them up it =27
Step-by-step explanation:
suppose your mp3 player contains 100 songs. 10 of those songs are by your favorite group (say pink floyd one of my favorite bands). suppose the shuffle feature is used to play the songs in random order. note that after a shuffle all the 100 songs are played before the next shuffle.
1. What is the probability that the first U2 song heard is the 5th song played? 2. What is the probability that one of the first five songs played is a U2 song?
Answers
Probability is a measure of how likely something is to occur. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain. For example, if there is a 20% chance of rain, the probability of rain is 0.2. Probability is often used to calculate the likelihood of different outcomes in a situation.
Learn more about probability:
https://brainly.com/question/24756209
#SPJ4
Simplify Expression:
3b+8b+9b
Answers
Answer:
20b
Step-by-step explanation:
3+8+9
3+8=11
9+11=20
3b+8b+9b
3b+8b=11b
11b+9b=20b
Answer:
Since they all have the same variable, you add them all together. so it would be 20b !!
Step-by-step explanation:
Ollie used 1/2 cup of vegetable oil to make brownies. she used another 1/3 cup of oil to make muffins.How much more oil did she use to make brownies?
Answers
Answer:
1/6 cup
Step-by-step explanation:
1/2 - 1/3 = 3/6 - 2/6 = 1/6 cup
to do this find lcm and multiply by fractions
lcm (least common multiple) in this case is 6 so change the denominators of both fractions to 6 by multiplying 1/3*2/2 and 1/2*3/3
you'll get 2/6-1/6=1/6
1/6 cup of oil is the answer
tell me if u need me to explain it a different way
i need help can someone please help me
Answers
The measure of the angle m∠ZYX of the trapezoid is equal to 139°
What is a trapezoid?A trapezoid is a quadrilateral with two parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The adjacent angles of the trapezium are supplementary, so their sum is equal to 180°.
3x + 19 + x + 1 = 180°
4x + 20 = 180°
4x = 180 - 20 {collect like terms}
4x = 160
x = 160/4 {divide through by 4}
x = 40
m∠ZYX = 3(40) + 19 = 139°.
WXYZ is a trapezoid. Equation used to solve for x is (3x + 19) + (x + 1) = 180° because the angles m∠XYZ and m∠WXY are adjacent angles.
Read more about trapezoid here:https://brainly.com/question/1463152
#SPJ1
Find the tangent line and the normal line to the curve at the given point.
Answers
The equation of the normal line to the curve x^2y^2 = 4 at the point (-1,-2) is y = x - 1.
To find the tangent line and normal line to the curve x^2y^2 = 4 at the point (-1,-2), we need to determine the derivative of the curve equation with respect to x and evaluate it at the given point.
First, let's differentiate the equation x^2y^2 = 4 implicitly with respect to x using the chain rule:
2x * (y^2) + 2y * (2xy * dy/dx) = 0
Simplifying the equation, we have:
2xy^2 + 4xy(dy/dx) = 0
Now, let's find the value of dy/dx at the point (-1,-2). Substitute x = -1 and y = -2 into the equation:
2*(-1)(-2)^2 + 4(-1)*(-2)(dy/dx) = 0
Simplifying further:
8 + 8(dy/dx) = 0
8(dy/dx) = -8
dy/dx = -1
We have found the derivative dy/dx at the point (-1,-2), which is -1. This represents the slope of the tangent line to the curve at that point.
Using the point-slope form of a line, we can write the equation of the tangent line as:
y - y₁ = m(x - x₁)
Substituting the values of (-1,-2) and dy/dx = -1 into the equation, we have:
y - (-2) = -1(x - (-1))
y + 2 = -1(x + 1)
y + 2 = -x - 1
y = -x - 3
Therefore, the equation of the tangent line to the curve x^2y^2 = 4 at the point (-1,-2) is y = -x - 3.
To find the normal line, we know that the slope of the normal line is the negative reciprocal of the slope of the tangent line. Therefore, the slope of the normal line is 1.
Using the point-slope form of a line again, we can write the equation of the normal line as:
y - y₁ = m'(x - x₁)
Substituting the values of (-1,-2) and m' = 1 into the equation, we have:
y - (-2) = 1(x - (-1))
y + 2 = x + 1
y = x - 1
for such more question on normal line
https://brainly.com/question/27877215
#SPJ8
To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines to represent the legs of a right triangle. Peggy then used 42 and 62 to find the distance represented by the red segment. What distance did she find ?
A √114
B √52
C 2020
D 5252
E 25
Answers
By using the formula for the distance we will see that the correct option is B:
√52
What distance did she find?
We will use the general formula to find the distance between two points (a, b) and (c, d)
it is:
distance = √( (a - c)^2 + (b - d)^2)
Here we want to find the distance between the points (-2,-3) and (4,1), if we use the above formula we will get:
distance = √( (-2 - 4)^2 + (-3 - 1)^2) = √( 36 + 16)
distance = √52
The correct option is B.
Learn more about the distance between two points:
https://brainly.com/question/7243416
#SPJ1
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
Answers
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
Students performed in a play on a Friday and a Saturday. For both performances. adult tickets cost a dollars each and student tickets costs dollars each. On Friday, they sold 125 adult tickets and 65 student tickets, and collected $1.200. On Saturdas, they sold 140 adult tickets and 50 student tickets, and collect $1,230. Write a system of equations to represent this relationship.
Answers
The system of equations is
125a + 65s = 1200
140a + 50s = 1230
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
125a + 65s = 1200
140a + 50s = 1230
-3500a - 1820s = -33600
3500a + 1250s = 30750
-570s = -2850
s = $5
student
125a + 65(5) = 1200
125a + 325 = 1200
125a = 875
a = $7 adult
the other situation means that they didn't do it right at all
To learn more about the equation from the given link
https://brainly.com/question/28218072
#SPJ1