Answer:
∠ LKJ = 64°
Step-by-step explanation:
Since KJ = KL then the triangle is isosceles with the 2 base angles being congruent, that is
∠ J = ∠ L = 58° , then
∠ LKJ = 180° - 58° - 58° = 180° - 116° = 64°
те
Ruidoso has a campground where you can
rent paddle boats. The cost of renting a
paddle boat is $10 one time fee and $3
per hour. Write a linear equation to
represent this situation. How much does
it cost to rent a paddle boat for 3 hours?
SUGE
usare quelasa 2 boucou
Be,
x = number of rental hours
y = The cost of rent
According to the statement, for each rental hour, $3 is charged, so in algebraic language that is: 3x
And in addition to that, $10 dollars is charged, so we have the following amount left
3x + 10
And this sum will result in the rental cost
y = 3x + 10
Answer 1: The linear equation that models the rental cost is: y = 3x + 10
How much does it cost to rent a rowboat for 3 hours?
Let's remember that "x" is equal to the number of rental hours, so substituting x = 3 in the equation y = 3x + 10, we have that
y = 3(3)+ 10 = 9 + 10 =19
Answer 2: Renting a boat for 3 hours costs $19
At a farming supply store 7 pounds of seed cost $153.37. If a farmer needed 4 pounds of seeds, how much would it cost him?
How do you find the Remainder when a polynomial in x is divided by a binomial of the form x-r?
Answer:
see explanation
Step-by-step explanation:
If a polynomial f(x) is divided by (x - r) then the remainder is f(r)
Mollie has $5,000 that she has invested at 3.6% compounded monthly for 3.5 years. How much will be in her account at the end of that period?
Type your answer as a decimal rounded to the nearest cent.
Compound interest accrued at a rate of 3.6% per year, compounded 12 times per year over a period of 3.5 years, on a principal of $5,000.00, resulting in a total value of $5,670.34.
How come compound interest is its name?The interest earned on a deposit is known as compound interest because it is computed using both the original principle and the interest accrued over the course of prior periods. Compound interest is just interest that is earned on interest, to put it another way. Interest can be compounded daily, monthly, or yearly, among other frequency plans.
According to the given information:A = $5,670.34
A = P + I where
P (principal) = $5,000.00
I (interest) = $670.34
convert R as a percent to r as a decimal
r = R/100
r = 3.6/100
r = 0.036 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.036/12)(12)(3.5)
A = 5,000.00(1 + 0.003)(42)
A = $5,670.34
The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 3.6% per year compounded 12 times per year over 3.5 years is $5,670.34.
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If DC=10, what is the measure of DB?
If DC = 10, the measure of DB is 20 units.
An equation to solve for x is 5x + 12 = 8x.
The measure of x is 4.
The measure of ∠BAC is 60°.
The measure of ∠B is 30°.
What is a perpendicular bisector?In Mathematics and Geometry, a perpendicular bisector is a line that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.
Therefore, the measure of DB can be calculated as follows;
DB = 2DC
DB = 2(10)
DB = 20 units.
Since the perpendicular bisector of DB is AC, an equation to solve for x is as follows;
5x + 12 = 8x
3x = 12
x = 12/3 = 4.
Since ∠D is congruent to ∠ABC, the measure of ∠BAC can be calculated as follows;
∠ABC + ∠BAC = 90° (complementary angles).
30° + ∠BAC = 90°
∠BAC = 90° - 30°
∠BAC = 60°
Similarly, ∠D is congruent to ∠B;
∠D ≅ ∠B = 30°.
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Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for
Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for quality control. Suppose a random sample of 50 amplifiers is taken from a month's production..
What is the probability that less than 40 of the amplifiers will meet the company's quality standards? b) What is the probability that between 40 and 45 inclusive of the amplifiers will meet the company's quality standards? c) What is the probability that more than 45 of the amplifiers will meet the company's quality standards? a) In order to solve for the probability that less than 40 amplifiers will meet the company's quality standards, we can use the binomial distribution formula: P(X < 40) = Σi=0^39 C(50, i) (0.85)i(1-0.85)50-i
This can be solved using a computer, calculator, or by using a binomial probability table. Using a binomial table, we can find that P(X < 40) = 0.024. Therefore, there is a 0.024 probability that less than 40 amplifiers will meet the company's quality standards. b) To solve for the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards, we can use the binomial distribution formula again. We need to solve for P(40 ≤ X ≤ 45): P(40 ≤ X ≤ 45) = Σi=40^45 C(50, i) (0.85)i(1-0.85)50-i This can also be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(40 ≤ X ≤ 45) = 0.435. Therefore, there is a 0.435 probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards. c) To solve for the probability that more than 45 amplifiers will meet the company's quality standards, we can use the binomial distribution formula one more time. We need to solve for P(X > 45): P(X > 45) = Σi=46^50 C(50, i) (0.85)i(1-0.85)50-i Once again, this can be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(X > 45) = 0.056. Therefore, there is a 0.056 probability that more than 45 amplifiers will meet the company's quality standards.Overall, it can be concluded that the probability that less than 40 amplifiers will meet the company's quality standards is low, the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards is relatively high, and the probability that more than 45 amplifiers will meet the company's quality standards is relatively low.
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49 cans of pop in 7 cases = ___ cans of pop per case
Answer:
7
Step-by-step explanation:
49/7=7
the round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 5.8 mm. round values to 4 decimal places when possible.
The round-off errors when measuring the distance that a long jumper has jumped are uniformly distributed between 0 and 5.8 mm.
To round values to 4 decimal places, we need to consider the range of possible values between 0 and 5.8 mm.
When rounding a measurement, we look at the digit in the fifth decimal place. If it is 5 or greater, we round up the fourth decimal place. If it is less than 5, we keep the fourth decimal place as it is.
Let's consider some examples to better understand this process:
1. If the measured distance is 2.3457 mm, the digit in the fifth decimal place is 7, which is greater than 5. Therefore, we round up the fourth decimal place to 2.3458 mm.
2. If the measured distance is 4.9999 mm, the digit in the fifth decimal place is 9, which is greater than 5. Again, we round up the fourth decimal place to 5.0000 mm.
3. If the measured distance is 3.2142 mm, the digit in the fifth decimal place is 2, which is less than 5. In this case, we keep the fourth decimal place as it is, resulting in 3.2142 mm.
By following this rounding process, we can round off the measured distances to 4 decimal places, taking into account the uniformly distributed round-off errors between 0 and 5.8 mm.
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the chance of getting a rare disease is .03 per person. out of 1,000 people, how many of them are expected to get the disease?
Answer:
I believe the answer would be 30 people.
Step-by-step explanation:
To calculate the percentage out of a group of people or items, you just multiply the percent (in decimal form) by the amount of people you want it out of. For example: A 0.1% chance out of 1,000 people would be a chance and expectancy of 1 person out of those 1,000 people. In this case it's 3% for every person. 0.03 • 1,000 is 30.
helphelphelphelphelphelphelphelphelp
Answer:
x > 19 represents the solution
Step-by-step explanation:
Answer:
If we look at the inequality, we can see the "<" is being used.
By looking at the answer choices, we can already exclude answer options A and D because they are using the inverse symbol of the symbol being used in this inequality which is ">" not "<".
Let's solve;
42 - 3x < - 15
In every inequality, we first need to get rid of the constants.
The inverse operation of addition is subtraction (because 42 is positive).
-42 -42
-3x < -57
Now, all we need to do is isolate x by getting rid of it's coefficient.
In order to do that, we must perform the inverse operation of multiplication which is division (because -3 is being multiplied by x).
÷-3 ÷-3
x < 19, your only choice left is C.
Solve.
3
b=-a
a + b = 21
Answer:b=-10.5, a=31.5
Step-by-step explanation: 3b=-a , -3b=a
a+b =21
-3b+b = 21
-2b=21
b=-10.5
a=-3b
a=-3*-10.5=31.5
En una caja de 50 lapiceros, 15 son del color rojo, 10 son de color azul, 12 son de color verde y el resto son de color negro¿que fraccion del total son de color negro?
Answer:
13/50
Step-by-step explanation:
En la caja de 50 lapiceros, hay 15 son rojos, 10 son azules, 12 son verdes y el resto son negros.
La cantidad de plumas que no son negras son:
15 + 10 + 12 = 37
Por lo tanto, el número de plumas negras son:
50-37 = 13
Por lo tanto, la fracción de los lapiceros negros es:
13/50
If you are solving a linear system by elimination and substitution and you get a true statement, how many solutions does the system have?
Answer: Infinitely many solutions
Explanation:
Let's say we had this system
y = x+5
x-y = -5
Let's replace y with x+5 in the second equation
x-y = -5
x-(y) = -5
x-(x+5) = -5
x-x-5 = -5
0x-5 = -5
0-5 = -5
-5 = -5
We end up with a true statement since we get the same number on both sides. This system has infinitely many solutions. The two equations produce the same straight line graph. Effectively, the two lines overlap perfectly to intersect infinitely many times.
Notice how solving x-y = -5 for y leads to y = x+5. This is more evidence that both original equations are identical (just in different forms).
calculate the customer lifetime value (clv) for a credit card product with a 100k sign-on bonus offer and $450 annual fee for the following three sub-segments: transactors, revolvers and dormants.
The CLV for transactors is $37.5, for revolvers it is $208.33, and for dormants, it is $2,000,000.
Customer Lifetime Value (CLV) is a financial analysis of the total revenue an organization can reasonably anticipate from a single customer over the course of their relationship. It is the net present value of the cash flows attributed to the relationship with a customer.
This metric is widely used in business to determine how valuable a customer is to the company.
The formula for CLV is:
CLV = (Average Value of a Sale) X (Number of Repeat Transactions) X (Average Retention Time in Months or Years)
There are three sub-segments of the credit card product: transactors, revolvers, and dormants.
The transactors are customers who pay off their credit card balance every month.
Revolvers are customers who carry a balance from month to month.
Dormants are customers who no longer use their credit card.
Each sub-segment will have a different CLV.
Here is how to calculate CLV for each sub-segment:
Transactors:
CLV = (Annual Fee) X (1/Churn Rate)
CLV = (450) X (1/12)
CLV = 37.5 dollars
Revolvers:
CLV = (Annual Interest Paid) X (Average Customer Lifespan)
CLV = (5000) X (1/24)
CLV = 208.33 dollars
Dormants:
CLV = (Number of Dormant Customers) X (Average Annual Spend per Customer) X (Profit Margin)
CLV = (10,000) X (1000) X (0.2)
CLV = 2,000,000 dollars
Therefore, the CLV for transactors is $37.5, for revolvers it is $208.33, and for dormants, it is $2,000,000.
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NEED HELP WITH THIS ASAP(POLYNOMIALS)
Identify if its a polynomial or not
1. -45
2. 2/x
3. 5 + 3x^2
4. 8 + y
5 2x^2 + xy + y^3
6. 3a^3 - 4a^2 - 5
7. x^2/12
8. -m^2 - 4m + 9
9. 9a^5b^4 + 3a^3b^2 + 8
10. 14a^2b^3c^3d^4
11. 8x^3 - 5x^2 + 3
12. 15/x^2 + 3x
13. -10a^2b^7 + 3c
14. 2m^3 - 2m + 3
15. x^3 + 3y^3 + z^3
Tell whether if its a monomial binomial or trinomial
Answer: 1) not 2) not 3) monomial 4) binomial 5) trinomial 6) trinomial 7) not 8) trinomial 9) trinomial 10) not 11) trinomial 12) not 13) binomial 14) trinomial 15) trinomial
Step-by-step explanation:
For each of the following statements, determine whether the statement is true or false (the latter including "not necessarily true"), and provide a brief explanation.
(a) A situation where everyone is playing a dominant strategy must be a Nash equilibrium.
(b) In a Nash equilibrium, everyone must be playing a dominant strategy.
(c) A two-person game in which each person has access to only two possible strategies will have at most one Nash equilibrium.
(d) In the following game, there exists only one pure-strategy equilibrium.
(e) In the following game of matching pennies, if player 2 plays (1/2∘H,1/2∘T) (i.e., plays both strategies with equal probability) then player 1 strictly prefers playing (1/2∘H,1/2∘ T ) to playing either H or T with probability 1.
(a) False. A situation where everyone is playing a dominant strategy does not necessarily guarantee a Nash equilibrium.
(b) False. In a Nash equilibrium, players may or may not be playing a dominant strategy.
(c) Not necessarily true. A two-person game with only two strategies for each player can have more than one Nash equilibrium.
(d) True. Without specific details about the game provided,
(e) False. In the game of matching pennies, if player 2 plays (1/2∘H,1/2∘T)
(a) False. A situation where everyone is playing a dominant strategy does not necessarily guarantee a Nash equilibrium. A Nash equilibrium occurs when no player can unilaterally change their strategy to improve their own payoff, regardless of what other players do. It is possible for a situation with dominant strategies for each player to result in a Nash equilibrium, but it is not a guarantee.
(b) False. In a Nash equilibrium, players may or may not be playing a dominant strategy. A Nash equilibrium simply represents a stable outcome where no player has an incentive to deviate from their chosen strategy given the strategies chosen by others. Players could be playing non-dominant strategies and still reach a Nash equilibrium.
(c) Not necessarily true. A two-person game with only two strategies for each player can have more than one Nash equilibrium. The number of Nash equilibria is not solely determined by the number of strategies available to each player but also depends on the payoffs and interactions between the strategies chosen by each player.
(d) True. Without specific details about the game provided, we cannot definitively determine if there exists only one pure-strategy equilibrium. However, if it is stated that there is only one pure-strategy equilibrium, then the statement would be true.
(e) False. In the game of matching pennies, if player 2 plays (1/2∘H,1/2∘T) with equal probability, player 1 does not strictly prefer playing (1/2∘H,1/2∘T) over playing either H or T with probability 1. Player 1's preferred strategy would depend on their own payoffs and the corresponding payoffs associated with the opponent's strategies. Without additional information about the payoffs in the game, we cannot make a definitive judgment on player 1's preferences.
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What is the area of this parallelogram?
in or in2
Answer:
answer: 20
Step-by-step explanation:
To find the area of a parellologram you just have to do base × height are base here is 10 and our height is 2 so 10 × 2 = 20 So 20 is the area! Hope that helps/explains well!
Please help thank you :)
Answers:
smaller number = 16larger number = 27==========================================================
Explanation:
x = smaller number
2x-5 = larger number, since it's five less than twice the smaller number
The sum of both values is 43, so,
(smaller)+(larger) = 43
(x) + (2x-5) = 43
3x-5 = 43
3x = 43+5
3x = 48
x = 48/3
x = 16 is the smaller number
2x-5 = 2*16-5 = 32-5 = 27 is the larger number
Check: 16+27 = 43
The answer is confirmed.
Need the answer 10pts
Answer:
-1 infinite
Step-by-step explanation:
Research that takes the anthropologist into a number of different field sites to fully understand some cultural process or phenomenon is called
The research approach that takes the anthropologist into multiple field sites to gain a comprehensive understanding of a cultural process or phenomenon is known as multi-sited ethnography.
This methodology was developed to capture the complexities of globalizing cultures and to investigate how these cultures are interconnected across geographic and cultural boundaries. Multi-sited ethnography emphasizes the need to examine cultural practices in multiple settings, recognizing that the meaning and significance of these practices can vary depending on the context in which they occur.
Anthropologists using this approach might study the impact of migration on family structures and cultural traditions, or investigate how the circulation of goods and ideas across borders affects local communities. Multi-sited ethnography allows anthropologists to trace the movement of people, ideas, and objects through different cultural contexts, shedding light on the ways that cultural practices and meanings are constructed, negotiated, and contested in a globalized world.
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two samples, each with n = 5 scores, have a pooled variance of s2p = 40. what is the estimated standard error for the sample mean difference? a. s(m1 - m2) = 4
To calculate the estimated standard error for the sample mean difference (s(m1 - m2)) when given the pooled variance (s2p), we need to use the formula:
s(m1 - m2) = √[(s2p / n1) + (s2p / n2)]
In this case, both samples have the same size, n = 5, so we can substitute n1 = n2 = 5 into the formula.
s(m1 - m2) = √[(40 / 5) + (40 / 5)]
s(m1 - m2) = √[8 + 8]
s(m1 - m2) = √16
s(m1 - m2) = 4
Therefore, the estimated standard error for the sample mean difference (s(m1 - m2)) is 4.
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80÷1.94≈
Please help me
Answer:
\(\frac{80}{1.94}\)
Step-by-step explanation:
80 ÷ 1.94 = \(\frac{80}{1.94}\)I hope this helps!
Compare and contrast the following two equations. Determine if they are linear equations and explain why or why not.
Answer:
xy = -1 and y = -1/x are the same.
They are not linear equations because they are not written in the form
Ax + By = C.
Let An =5/2n-1 for n=1, 2, 3 ....
Write the first three terms of Bn = An+1
B1 =
B2 =
B3 =
(b) Write the first three terms of Cn=An+3.
C1=
C2=
C3=
(c) Write the first three terms of Dn=a^2n
D1=
D2=
D3=
(d) Write the first three terms of En= 2an - an+1
E1=
E2=
E3=
a) The first three terms of Bₙ are B₁ = 5/3, B₂ = 1, B₃ = 5/7. b) The first three terms of Cₙ are C₁ = 5/7, C₂ = 5/9, C₃ = 5/11. c) The first three terms of Dₙ are D₁ = 25, D₂ = 25/9, D₃ = 1. d) The first three terms of Eₙ are E₁ = 25/3, E₂ = 5, E3 = 65/7.
(a) To find the first three terms of Bₙ = Aₙ + 1, we substitute the values of n into the expression for Aₙ.
For Aₙ = 5/(2n-1)
B₁ = A₁+1 = A₂ = 5/(2(2)-1) = 5/3
B₂ = A₂+1 = A₃ = 5/(2(3)-1) = 5/5 = 1
B₃ = A₃+1 = A₄ = 5/(2(4)-1) = 5/7
Therefore, the first three terms of Bₙ are: B₁ = 5/3, B₂ = 1, B₃ = 5/7
(b) To find the first three terms of Cₙ = Aₙ+3, we substitute the values of n into the expression for Aₙ.
For Aₙ = 5/(2n-1)
C₁ = A₁+3 = A₄ = 5/(2(4)-1) = 5/7
C₂ = A₂+3 = A₅ = 5/(2(5)-1) = 5/9
C₃ = A₃+3 = A₆ = 5/(2(6)-1) = 5/11
Therefore, the first three terms of Cₙ are: C₁ = 5/7 C₂ = 5/9 C₃ = 5/11
(c) To find the first three terms of Dₙ = (Aₙ)², we square the values of Aₙ.
For Aₙ = 5/(2n-1)
D₁ = (A₁)² = (5/(2(1)-1))² = (5/1)² = 25
D₂ = (A₂)² = (5/(2(2)-1))² = (5/3)² = 25/9
D₃ = (A₃)² = (5/(2(3)-1))² = (5/5)² = 1
Therefore, the first three terms of Dₙ are: D₁ = 25 D₂ = 25/9 D₃ = 1
(d) To find the first three terms of Eₙ = 2Aₙ - Aₙ+1, we substitute the values of n into the expression for Aₙ.
For Aₙ = 5/(2n-1)
E₁ = 2(A₁) - A₁ +1 = 2(5/(2(1)-1)) - 5/(2(1+1)-1) = 10 - 5/3 = 25/3
E₂ = 2(A₂) - A₂ + 1 = 2(5/(2(2)-1)) - 5/(2(2+1)-1) = 10 - 5/5 = 25/5 = 5
E₃ = 2(A₃) - A₃ + 1 = 2(5/(2(3)-1)) - 5/(2(3+1)-1) = 10 - 5/7 = 65/7
Therefore, the first three terms of Eₙ are: E₁ = 25/3 E₂ = 5 E₃ = 65/7
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You need to build a model that predicts the volume of sales (Y) as a function of advertising (X). You believe that sales increase as advertising increase, but at a decreasing rate. Which of the following would be the general form of such model? (note: X^2 means X Square)
A. Y ^ = b0 + b1 X1 + b2 X2^2
B. Y ^ = b0 + b1 X + b2 X / X^2
C. Y ^ = b0 + b1 X + b2 X^2
D. Y ^ = b0 + b1 X
E. Y ^ = b0 + b1 X1 + b2 X2
The general form of such a model that predicts the volume of sales (Y) as a function of advertising (X) in which sales increase as advertising increases, but at a decreasing rate is given by Y^ = b0 + b1X + b2X². Option C.
The general form of the model that fits the description of the sales model that is given in the problem is C. Y^ = b0 + b1X + b2X². Where Y^ represents the predicted or estimated value of Y. b0, b1, and b2 are the coefficients of the model, and they represent the intercept, the slope, and the curvature of the relationship between X and Y, respectively.
In this model, the variable X has a quadratic relationship with the variable Y because of the presence of the squared term X². This indicates that the effect of X on Y is not linear but curvilinear, which means that the effect of X on Y changes as X increases. Specifically, the effect of X on Y increases initially but then levels off or diminishes as X becomes larger. Answer option C.
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What are 4 types of slopes on the graph?
Negative, positive, zero, and undefined are the 4 types of slopes on the graph.
the 4 types of slopes, include:
Negative slope occurs when m 0 and the line slopes downward to the right as x rises.Positive slope occurs when m > 0 and the line slopes uphill to the right as x rises. A horizontal line has a zero slope, or m = 0. The y values for any two points will be the same real number. Y = some number will be the equation. Ex:y=5Undefined Slope: The slope, m, of a vertical line is undefined. The x values for any two points will be the same real number. x = a certain number will be the formula. Ex=6To know more about types of slopes:
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FIRST ONE TO ANSWER CORRECTLY GETS BRAINLIEST
There are 31 flowers on each quilt. How many flowers are there on 86 quilts?
flowers
Submit
Answer:
2,666
Step-by-step explanation:
31x86 = 2666
Answer:
2,666
Step-by-step explanation:
31 flowers on each quilt, so we have 31 * y = z
Next we have 86 quilts on each flower so that would be 31 * 86 = z
Next we do 31 * 86 which would equal 2,666
31 * 86 = 2,666
Jack had to purchase a book for college. The book cost $280 at the campus store. Jack found it online for 15% off. How much can he save if he purchases it online?
Answer:
I think its 238.00
Step-by-step explanation:
In the class of 2019, more than 1.6 million students took the SAT. The distribution of scores on the math section (out of 800) is
approximately normal with a mean of 528 and standard deviation of 117. The University of Michigan has a recommended SAT
math score of at least 730.
What percent of students who took the SAT math test meet this requirement?
Round your answer to 4 decimal places and then convert to a percentage.
Using the normal distribution, it is found that 4.18% of the students who took the SAT math test meet this requirement.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable that has mean given by \(\mu\) and standard deviation represented by \(\sigma\) is by the following equation:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is above(in case the score is positive) or below(in case the score is negative) the mean. From the z-score table, the p-value associated with the z-score is found, which represents the percentile of the measure X.The mean and the standard deviation for the distribution of SAT scores is given as follows:
\(\mu = 528, \sigma = 117\)
The proportion above 730 is given by one subtracted by the p-value of Z when X = 730, hence:
\(Z = \frac{X - \mu}{\sigma}\)
Z = (730 - 528)/117
Z = 1.73
Z = 1.73 has a p-value of 0.9582.
1 - 0.9582 = 0.0418.
Hence 4.18% of the students who took the SAT math test meet this requirement.
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The boss sent you to pick up lunch with $32.10, but you forgot how many hamburgers and hotdogs to pick up! The cost of a hamburger is $1.50 and the cost of a hot dog is $1.10. You must buy a combination of 23 items.
Answer:
Step-by-step explanation:
so we can make a system of equations
y=hotdogs
x=hamburgers
you need a combination that sums to 23, so add the two and get 23:
y+x=23
and then you need to account for how much money you have and the cost.
1.50x+1.10y=32.10
still working on it, will edit in rest so that you can see what I did