Answers
If M is a centroid of triangle WOR and YR =16, the length of WR
side will be WR = 48.
What is the triangle's centroid?The centroid of the thing represents its center. A triangle's centroid is the point at which its three medians intersect. It can also be described as the point at which the three medians intersect.The median is a line that connects the midpoints of two sides and the opposite vertex of a triangle. A triangle is a two-dimensional shape with three sides. The three angles add up to 180 degrees.The centroid of a triangle divides the triangle's medians in a 2: 1 ratio.The ratio of the two sides will be given here as:
WY/ YR = 2/1
Determine the value of YR to determine the value of WR.
WY/16 = 2/1
WY = 32
WR will have the following value:
WR = WY+ YR
WR = 32+ 16
WR = 48
As a result, the value of the side WR is 48.
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Related Questions
Circuit total capacitance measures .04 microfarad. If the circuit is supplied by an AC power source operating at 2 kHz what is the circuit’s capacitive reactance
Answers
The capacitive reactance of the circuit with capacitance of 4 x 10⁻⁸ farad and the AC power source of 2 Khz is X[C] = 1.99 x 10⁻⁷ ohms.
What is Capacitance?The capacitance of a body is defined as the charge holding ability of a body. Mathematically, capacitance is the ratio of charge and potential as follows -
C = dQ/dV
Given is the total capacitance measures .04 microfarad. If the circuit is supplied by an AC power source operating at 2 kHz.
From this we can write -
Capacitance [C] = 0.04 microfarad = 4 x 10⁻⁸ farad.
Frequency of AC supply [f] = 2 KHz = 2 x 10³ Hz
The capacitive reactance is given by -
X[C] = 1/2πfC
X[C] = (1/2 x 3.14 x 2 x 10³ x 4 x 10⁻⁸)
X[C] = 1/(50.24 x 10⁻⁵)
X[C] = 0.0199 x 10⁻⁵
X[C] = 1.99 x 10⁻⁷ ohms
Therefore, the capacitive reactance of the circuit with capacitance of 4 x 10⁻⁸ farad and the AC power source of 2 Khz is X[C] = 1.99 x 10⁻⁷ ohms.
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A video game system and several games are sold for 504$ . The cost of the game is 3 times as much as the cost of the system . Find the cost of the system and the cost of the games
Answers
We get the cost of the system and cost of the games as $126 and $378 respectively.
Given, the price of the video game and several games are sold for $504.
The cost of the game is 3 times as much as the cost of the system.
we need to determine the cost of the system and the cost of the game = ?
Let x = the cost of the games.
Let y = the cost of the system.
therefore, x+y=504
and y = 3x
substitute the value of y.
⇒ x + y = 504
⇒ x + 3x = 504
combine like terms.
⇒ 4x = 504
Divide both sides by 4.
⇒ x = 504/4
⇒ x = 126
The cost of the system is $126.
Use y = 3x substituting 126 for x.
g = 3(126)
g = 378
The cost of the games is $378.
Hence we get the cost of the system and cost of the games as $126 and $378 respectively.
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Solve this inequality.70+ 15 <31 – 8
Answers
The objective of this excercise is to clear the variable t. We need to pass every term with a t to one side of the inequality and every term without it to the other side:
[tex]7t+15<3t-8[/tex][tex]7t-3t<-8-15[/tex][tex]4t<-23[/tex]then we have:
[tex]t<\frac{-23}{4}[/tex]And finally we have that:
[tex]t<-5.75[/tex]grade 12 calculus please help with question 3. i) ?image attached much appreciated
Answers
We have a height function
[tex]h(t)=-16t²+96t+112[/tex]Now, to find the average rate of change the height function on [1,3] seconds we have the following
[tex]A_{\lbrack1,3\rbrack}=\frac{h(3)-h(1)}{3-1}=\frac{-16(3)^2+96(3)+112-(-16(1)^2+96(1)+112)}{3-1}=\frac{-16(-8)+96(2)}{2}[/tex]Then the average rate on [1,3] is given by
[tex]A_{\lbrack1,3\rbrack}=\frac{320}{2}=160[/tex]Then the average rate of change of the height function on the interval from 1 to 3 seconds is 160 meters
During one day of trading in the stock market,
an investor lost $2500 on one stock, but gained
$1700 on another stock. At the end of trading
that day, the two stocks were worth $52,400.
What were they worth when the market opened
that day?
Answers
Using mathematical operations, we know that the cost of the 2 stocks when the market opened was $51,600.
What exactly are mathematical operations?Any mathematical function that transforms zero or more discrete input values into discrete output values is referred to as an operation.The complexity of the operation varies with the number of operands.In the four mathematical operations, numerical inputs are transformed into numerical outputs (i.e., another number).Addition, subtraction, division, and multiplication are these.So, the cost of 2 stocks when the market opened:
The investor lost (-) $2500.Investor gained (+) $1700.At the end of the day, the cost of those 2 stocks was $52,400.
Now, calculate the cost when the market was opened as follows:
52400 - 2500 + 170049,900 + 1700$51,600Therefore, using mathematical operations, we know that the cost of the 2 stocks when the market opened was $51,600.
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Supposed to select all statements that are true about the construction
Answers
The segment AB is perbenticular to XY.
Here 90 degrees is an interior angle for Arc XB and Arc AY
[tex]90^o=\frac{XB+AY}{2}[/tex][tex]XB+\text{AY}=180^o[/tex]Similarly, 90 degrees is an interior angle for Arc XA and Arc BY
A pet store has 6 cats. Here are their weights (in pounds).
12, 9, 9, 12, 16, 6
Find the mean weight of these cats.
If necessary, round your answer to the nearest tenth.
pounds
Answers
Answer:
mean ≈ 10.7 pounds
Step-by-step explanation:
mean is calculated as
mean = [tex]\frac{sum}{count}[/tex] = [tex]\frac{12+9+9+12+16+6}{6}[/tex] = [tex]\frac{64}{6}[/tex] ≈ 10.7 pounds ( to the nearest tenth )
Which linear inequality is represented by the graph?
Oy> 2x + 2
Oy²x+1
Oy> 2x + 1
Oy² = x + 2n
Answers
Answer:
y>2x+1
Step-by-step explanation:
1. there is 'y=2x+1' graph is represented.
2. the shaded reqion is y>2x+1.
The correct linear inequality represented by the graph is y > 2x + 1. The correct option is C.
What is inequality?An inequality is a mathematical statement that compares two values or expressions and shows their relationship using the symbols < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), or ≠ (not equal to).
To see why, note that the line shown in the graph has a y-intercept of 1 and a slope of 2 (i.e., it passes through the points (0,1) and (1,3)).
If we plug in any point above this line, we get a y-coordinate that is greater than 2x + 1. For example, if we plug in the point (2,6), we get:
6 > 2(2) + 1
6 > 5
All points above the line satisfy the inequality y > 2x + 1.
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Why is 1-1/4 equal to 3/4 And 1-1/3 equal 2/3
Answers
SOLUTION
TO SHOW THAT;
[tex]1-\frac{1}{4}=\frac{3}{4}[/tex]Step 1:
[tex]\begin{gathered} \frac{1}{1}-\frac{1}{4} \\ \frac{4-1}{4}=\frac{3}{4} \end{gathered}[/tex]TO SHOW THAT;
[tex]1-\frac{1}{3}=\frac{2}{3}[/tex]Step 2:
[tex]\frac{1}{1}-\frac{1}{3}=\frac{3-1}{3}=\frac{2}{3}[/tex]Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms
Answers
From the given picture, the hypotenuse is 100, then, we get
[tex]\begin{gathered} \sin B=\frac{28}{100} \\ \text{tanB}=\frac{28}{96} \end{gathered}[/tex]Which in simplest form is given by
[tex]\begin{gathered} \sin B=\frac{7}{25} \\ \tan B=\frac{7}{24} \end{gathered}[/tex]f(x)= 3× g(x)= 3×+2 -4
Answers
We can observe that f(x) is a parent function and g(x) is transformation of f(x).
Specifically, the applied transformations are:
• A vertical shift 4 units downside.
,• A horizontal shift of 2 units left side.
The image below shows the functions
As you can observe, the blue function g(x) was shifted two units left and 4 units down.
Additionally, the functions intercept at (-0.631, 0.5).
The probability of an adult owning a landline telephone is 0.41 and the probability of an adult owning a cell phone
is 0.79. The probability that an adult owns both a landline and a cell phone is 0.27. What is the probability that a person
owns a landline or a cell phone
Answers
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.
The probability that a person owns a landline or a cell phone = 0.80
What is probability ?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.The likelihood of an event can also be expressed as a percentage and can only range from 0 to 1. It is common to write P (A) P(A) P(A)P, left parenthesis, and A, right parenthesis, to represent the probability of event A.P( tele phone) = 0.41
P(cell) = 0.79
P(tel phone and cell) = 1-0.41-0.79 = 0.20
P (tele phone only) = 0.41 -0.20 =0.21
P( cell only) = 0.79 - 0.20 = 0.59
P( telephone or cell ) = 0.21+ 0.59 = 0.80
The probability that a person owns a landline or a cell phone = 0.80
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(1.57 x 10^5)-(9.5 x 10^4)
Answers
(1.57 x 10^5)-(9.5 x 10^4) The answer will be 62000 or Alternative form is 6.2 x 10^4
Given in the question:
(1.57 x 10^5)-(9.5 x 10^4)
To solve the above question:
Now, According to the question:
(1.57 x 10^5)-(9.5 x 10^4)
Factor Greatest Common Factors out :
10^4 (15.7 - 9.5)
Calculate the sum or difference
10^4 x 6.2
Express the number in scientific notation;
6.2 x 10^4
Calculate the power
6.2 x 10000
Calculate the product or quotient
62000
And, Alternative form is 6.2 x 10^4
Hence, (1.57 x 10^5)-(9.5 x 10^4) The answer will be 62000 or Alternative form is 6.2 x 10^4
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there are 14 boy and 16 girls in Mr. Allen's class. What is the ratio of girls to the total numbers of students in the class? Write the ratio in 3 ways
Answers
Answer:
16/30, 8/15, 24/45
Answer:
8:15
8/15
8 to 15
Step-by-step explanation:
Find the value of x which optimises the total surface area of the box, and showthat it minimises the total surface area.
Answers
Solution:
Given data:
Let the width of the box be
[tex]=x[/tex]The volume of the box is
[tex]V_{\text{box}}=400\operatorname{cm}[/tex]The height of the box is
[tex]=h[/tex]Let the length of the box be
[tex]=l[/tex]The length is four times the width of the base, this can be represented below as
[tex]\begin{gathered} l=4\times x \\ l=4x\ldots\ldots\ldots\text{.}(1) \end{gathered}[/tex]Part A:
Show that the height h of the box is given by
[tex]\frac{400}{x^2}[/tex]Concept:
To show that the height is given as above, we will use the volume of the box which is given below as
[tex]\begin{gathered} V_{\text{box}}=\text{length}\times width\times height \\ V_{\text{box}}=l\times x\times h \end{gathered}[/tex]By substituting the values, we will have
[tex]\begin{gathered} V_{\text{box}}=l\times x\times h \\ \text{Substituite equation (1) in the formuka above,} \\ 400=4x\times x\times h \\ 400=4x^2h \\ \text{divide both sides by 4x}^2 \\ \frac{4x^2h}{4x^2}=\frac{400}{4x^2} \\ h=\frac{100}{x^2}(\text{PROVED)} \end{gathered}[/tex]Part B:
Show that the total surface area A of the box is given by
[tex]A=4x^2+\frac{1000}{x}[/tex]Concept:
To prove the above relation, we will use the formula of the area of the box below
[tex]\begin{gathered} A_{\text{box}}=2(lw+lh+wh) \\ \text{where,} \\ l=\text{length}=4x \\ w=\text{width}=x \\ h=\text{height}=\frac{100}{x^2} \end{gathered}[/tex]By substituting the values, we will have
[tex]\begin{gathered} A_{\text{box}}=2(lw+lh+wh) \\ A_{\text{box}}=2(4x\times x+4x\times\frac{100}{x^2}+x\times\frac{100}{x^2}) \end{gathered}[/tex]By simplifying the relation above, we will have
[tex]\begin{gathered} A_{\text{box}}=2(4x\times x+4x\times\frac{100}{x^2}+x\times\frac{100}{x^2}) \\ A_{\text{box}}=2(4x^2+\frac{400}{x}+\frac{100}{x}) \\ A_{\text{box}}=2(4x^2+\frac{500}{x}) \\ A_{\text{box}}=8x^2+\frac{1000}{x} \end{gathered}[/tex]Hence,
The Total surface area of the box will be given below as
[tex]A_{\text{box}}=8x^2+\frac{1000}{x}[/tex]To determine the value of x which optimizes the total surface area of the box, and show
that it minimizes the total surface area, we will have to look for the first derivative of the function above
[tex]\begin{gathered} A_{\text{box}}=8x^2+\frac{1000}{x} \\ \frac{dA}{dx}=\frac{d}{dx}(8x^2+\frac{1000}{x}) \\ \frac{dA}{dx}=16x-\frac{1000}{x^2} \end{gathered}[/tex]To find the value of x, we will substitute the value of dA/dx to be = 0
[tex]\begin{gathered} \frac{dA}{dx}=0 \\ 16x-\frac{1000}{x^2}=0 \\ 16x=\frac{1000}{x^2} \\ \frac{16x^3}{16}=\frac{1000}{16} \\ x^3=62.5 \\ x=\sqrt[3]{62.5} \end{gathered}[/tex]To show the minimum value of x, we will have to look for the second derivative
[tex]\frac{d^2A^{}}{dx^2}[/tex][tex]undefined[/tex]What is the area of this regular octagon that has been divided into eight congruent triangles?A)90 cm2B)360 cm2C)45 cm2D)180 cm2
Answers
Given:
One octagon is given
Required:
To calculate the area of regular octagon
Explanation:
Since we have been divided regular octagon into eight congruent triangles
so firstly we calculate area of triangle with base 5 cm and height 9 cm and then gonna multiply this 8 times to calculate the total area
In the first step we are calculating the area of triangle
37. A scrapbook is 3 in. longer than it is wide. Find the length and the width if the area is 108in?
Answers
Length = 12 in
Width = 9 in
Explanations:Let the length of the scrapbook be represented as L
Let the width of the scrapbook be represented as W
The scrapbook is 3 in longer than its width.
This can be represented mathematically as:
L = W + 3........................(1)
Since the length of the scrapbook is longer than the width, the scrapbook has a rectangular shape.
Area of a Rectangle = Length x Width
Let the area be represented as A
A = L X W........................(2)
The Area is 108 in²
A = 108 in²
Put the value of A into equation (2). The equation becomes:
108 = L X W...................(3)
Substitute equation (1) into equation (3):
108 = (W + 3) x W
108 = W² + 3W
W² + 3W - 108 = 0
W² -9W + 12W - 108 = 0
W(W - 9) + 12(W - 9) = 0
(W + 12)(W - 9) = 0
W + 12 = 0
W = -12
W - 9 = 0
W = 9
Since the width of a scrapbook cannot be negative, we will choose W = 9 in
Substitute the value of W (i.e. W = 9) into equation (1)
L = W + 3
L = 9 + 3
L = 12
Therefore, the length of the scrapbook is 12 in and the width is 9 in
Factor the following expression completely:
y² + 6y − 40 =
Answers
y -4
(y+10)(y-4)
y=-10, +4
Answer:
(y+10)(y-4)
Step-by-step explanation:
-40y^2
/ \
10y -4y
I need help with number 17 pls I need the equation plssimplify
Answers
-2
Explanation:[tex]17)\text{ }\frac{-4\text{ + 2i}}{2\text{ - i}}[/tex]To simplify, we will use the conjugate of the denominator
conjugae of 2 - 1 = 2 + i
Multiply the conjugate of the denominator to the numerator and denominator:
[tex]\begin{gathered} \frac{-4\text{ + 2i}}{2\text{ - i}}\text{ }\times\frac{2+i}{2\text{ + i}} \\ =\text{ }\frac{(-4+2i)(2+i)}{(2-i)(2+i)} \\ \text{Expand:} \\ =\text{ }\frac{-4(2+i)+2i(2+i)}{(2-i)(2+i)} \end{gathered}[/tex][tex]\begin{gathered} =\text{ }\frac{-8-4i+4i+2i^2}{(2-i)(2+i)} \\ \\ \text{expand the denominator:} \\ =\text{ }\frac{-8-4i+4i+2i^2}{2(2+i)-i(2+i)} \\ =\text{ }\frac{-8-4i+4i+2i^2}{4+2i-2i-i^2} \end{gathered}[/tex][tex]\begin{gathered} In\text{ complex number, } \\ i^2\text{ = -1} \\ \text{substitute for i}^2 \\ =\text{ }\frac{-8-4i+4i+2i^2}{4+2i-2i-i^2}\text{ = }=\text{ }\frac{-8-4i+4i+2(-1)}{4+2i-2i-(-1)} \\ =\text{ }\frac{-8+0+2(-1)}{4+0-(-1)}\text{ = }\frac{-8-2}{4+1}\text{ } \\ =\text{ }\frac{-10}{5} \\ =\text{ -2} \end{gathered}[/tex]The simplified answer is -2
Please help urgent 30 points
Answers
Answer:
1. How do we transform System A into System B
Answer is First choice with -3 filled in box
-3 x Equation [A1] ⇒ Equation [B1] (first choice; fill in -3)
2. How do we transform System B into System A
answer is the Last choice with 5 filled in the box
5 x Equation [B2] + Equation [B1] => Equation [C1]
In the last choice fill in 5 in the box
Step-by-step explanation:
-3 x [A1] => -3 (-9x - 5y = -2)
=> - 3(-9x) -3(-5y) = 3(-2)
=> 27x + 15y = 6 which is B1
5 x [B2]
=> 5(-4x - 3y) = 5(3)
=> -20x -15y = 15
5 x [B2] + B1
=>
-20x -15y = 15
+
27x + 15y = 6
----------------------
7x + 0 = 21
or 7x = 21 which is C1
Step-by-step explanation:
system A to system B :
-3 × equation A1 -> equation B1
5 × equation B2 + equation B1 = equation C1
1. Use the word back to complete the following flow chart proof to show that is ABCD is a parallelogram and ZABEZBAE, then ABCD is a rectangle. Glyen: ABCD is a parallelogram and ZABEZBAE Prove: ABCD is a rectangle Word Bank SE AE Definition of a diagonalsofa ZABEZBAE rectangle parallelogram bisecleach ather Segment Addition ABCD is a ABCD B a rectangle BEE DE 2 CE E AE Postulate paralelogram Note: You can use the answers in the word bank mone than once fif needed) DEBE Transitive Property of Conguence CEAE Given BD EAC Converse Oilsosceles Trange Theorem Given NATION odbor
Answers
see the attached image
Please, Do you understand all the steps so far?
help me please
thank you
Answers
Answer:
Domain: [-6, 2]
Range: [-4, 0]
Function: Yes
Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
A relation is a function if each x value corresponds to only one y-value.
Express with radical signs instead of fractional exponents. Rationalize the dominator.
Answers
Given:
[tex]3^{-\frac{1}{2}}.x^{\frac{1}{2}}[/tex]To find:
Express with radical signs instead of fractional exponents. also, rationalize the denominator.
Explanation:
The radical sign is a symbol used to indicate a root, i.e.,
[tex]\sqrt[n]{x}[/tex]For our given expression, we can write it using the radical sign as given below:
[tex]\begin{gathered} \frac{x^{\frac{1}{2}}}{3^{\frac{1}{2}}} \\ \Rightarrow\frac{\sqrt{x}}{\sqrt{3}} \end{gathered}[/tex]Now, to rationalize, the following form can be used,
[tex]\frac{\sqrt{a}}{\sqrt{b}}=\frac{\sqrt{a}}{\sqrt{b}}(\frac{\sqrt{b}}{\sqrt{b}})=\frac{\sqrt{ab}}{b}[/tex]So, we can also rewrite our expression to rationalize the denominator,
[tex]\frac{\sqrt{x}}{\sqrt{3}}=\frac{\sqrt{x}}{\sqrt{3}}\times(\frac{\sqrt{3}}{\sqrt{3}})=\frac{\sqrt{3x}}{3}[/tex]Final answer:
The required expression with radical signs and simplified form is as given below:
[tex]\frac{\sqrt{3x}}{3}[/tex]A rocket is launched straight up with a velocity of 6.11 m/s. How high does the rocket go?
Answers
The rocket reaches a maximum height of 1.903 meters.
What is the maximum height reached by a rocket?
Herein we find the case of a rocket being launched at an initial speed and is later decelerated uniformly by gravity. Then, the maximum height reached by the rocket is found by the following formula:
v'² = v² + 2 · a · h
Where:
v - Initial speed, in meters per second.v' - Final speed, in meters per second.a - Acceleration, in meters per square second.h - Maximum height, in meters.If we know that v = 6.11 m / s, v' = 0 m / s and a = - 9.807 m / s², the maximum height of the rocket is:
h = (v'² - v²) / (2 · a)
h = (0² - 6.11²) / [2 · (- 9.807)]
h = 1.903 m
The maximum height reached by the rocket is 1.903 meters.
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My teacher wrote the answer on the side but can you please tell me how he got it
Answers
now solve further.
[tex]7.77\text{ \%}[/tex]thus, the answer is 7.77% of 90 is 7.
[tex]\frac{7}{90}\times100=\frac{70}{9}=7.77^{}[/tex]thus, the answer is 7.77% of 90 is 7.
Which inequality's solution is represented by the graph?A)-2x + 6 5 52B)-2x + 6 2 522x + 6 5 -52D)2x - 6 2 -52
Answers
From the graph, the inequality is
x ≤ -23
Multiplying by -2 at both sides we get:
-2x ≥ (-23)*(-2)
-2x ≥ 46
Adding 6 at both sides:
-2x + 6 ≥ 46 + 6
-2x + 6 ≥ 52
what is 10,500,000,000 in scientific notation
Answers
Answer:
hope this makes sense
Step-by-step explanation:
1.05 x 10x 10x10x10=10000000000
10500000000
10000000000= 1.05 x 1.05 ×10000000000= 10500000000
10500000000 = 1.05 x10 x10
How far does jaylen go if he drive 2 hours at 60 mph
Answers
Info given
For this problem we know that Jaylen drive for 2 hours at 60 mph
The velocity is v= 60 mi/hr and the time t= 2 hr
Solution
We can use the definition of distance given by:
[tex]d=vt[/tex]And replacing we got:
[tex]d=60\frac{mi}{hr}\cdot2hr=120mi[/tex]And then the answer would be 120 mi
Periodic deposit $8000 at the end of the year Rate 4.5% time 20 years
Answers
Using the future value formula, it is found that:
After 20 years you will have approximately $250,971.
What is the future value formula?The future value formula is given by the following equation:
[tex]V(n) = P\left[\frac{(1 + r)^n - 1}{r}\right][/tex]
In which the parameters are given as follows:
P is the payment.n is the number of payments.r is the interest rate.From the information given, the values of the parameters are given by:
P = 8000, r = 0.045, n = 20.
Hence the balance of the account in 20 years is given by:
[tex]V(n) = P\left[\frac{(1 + r)^n - 1}{r}\right][/tex]
[tex]V(20) = 8000\left[\frac{(1 + 0.045)^{20} - 1}{0.045}\right][/tex]
V(20) = $250,971.
Which is the amount you will have.
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Large drinks cost $2.75 each and medium drinks cost $2.15 each. A restaurant sold 52 drinks yesterday and took in a total of $131.60. How many medium drinks did they sell? Show work
Answers
Given:
Large drink cost $ 2.75.
Let x be the number of large drinks.
Let y be the number of medium drinks and it cost $2.15 each.
A restaurant sold 52 drinks yesterday and took in a total of $131.60.
The equations are,
[tex]\begin{gathered} x+y=52\ldots\ldots\ldots.....\ldots\ldots\ldots.....(1) \\ 2.75x+2.15y=131.60\ldots.\ldots..\ldots\ldots\ldots\text{.}(2) \end{gathered}[/tex]Solve the equations,
From equation 1)
[tex]\begin{gathered} x+y=52 \\ x=52-y \\ \text{Put it in equation 2)} \\ 2.75(52-y)+2.15y=131.60 \\ 143-2.75y+2.15y=131.60 \\ 143-131.60=0.6y \\ 11.4=0.6y \\ y=\frac{11.4}{0.6} \\ y=19 \end{gathered}[/tex]Put the value of y in equation 1)
[tex]\begin{gathered} x+y=52 \\ x+19=52 \\ x=52-19 \\ x=33 \end{gathered}[/tex]Answer: The number of medium drink sells are y = 19.
