Answer:
medium is 5 dollars and 39 cents
large is 6 dollars and 89 cents
Step-by-step explanation:
3m + 2l = 29.95
4m + l = 28.45
3m + 2l = 29.95
8m + 2l = 56.9
-5m = -26.95
5m = 26.95
m = 5.39
3(5.39) + 2l = 29.95
16.17 + 2l = 29.95
2l = 13.78
l = 6.89
Write a recursive formula that defines the following sequence f(1)=1, f(2)=9, f(3)=17, f(4)=25, f(5)=33.
The recursive formula for the sequence f(1)=1, f(2)=9, f(3)=17, f(4)=25, f(5)=33 is aₙ₋ =aₙ₋₁ +d
How to determine the recursive formula?We should know that a recursive sequence is a sequence in which the terms are gotten using one or more previous terms along with an initial condition.
The given sequence is f(1)=1, f(2)=9, f(3)=17, f(4)=25, f(5)=33
This forms an Arithmetic Progression (AP)
The terms are 1, 9, 17, 25, 33, ...
The common different is 9-1 = 8
The terms are
a₁, a₂+d, a₃+d, a₄+d, + .....+ aₙ+(n-1)d
Therefore the The recursive formula for the sequence f(1)=1, f(2)=9, f(3)=17, f(4)=25, f(5)=33 is aₙ₋ =aₙ₋₁ +d
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Mrs. Joyce calculated the class mean on her latest test. 18 students took it and the mean was 81. 2. Three days later the four absent kids made it up and scored 77, 85, 68, and 80. To the nearest tenth, what is the new mean?.
The new mean for the given data would be 80.
What is the mean of the numbers?
The average (mean) is equal to the sum of all the data values divided by the number of values in the data set.
Mean = Sum / Count
Firstly 18 students took the test and the mean was 81.
By using the definition of mean we can write
Mean = sum of scores/number of students
81 = sum of scores / 18
Sum of scores = 81 * 18
= 1458
Now later the four absent kids made it up and scored 77, 85, 68, and 80.
Now new sum of the scores would be = 1458 + 77 + 85 + 68 + 80
= 1768
And the total number of students will be = 18 + 4 = 22
New mean = new score/number of students
= 1768/22
= 80.36
≈ 80
Hence, the new mean for the given data would be 80.
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IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.
Out of a randomly selected 3700 people from the population, how many of them
would have an IQ less than 66, to the nearest whole number?
Please help asap this is mandatory Which town has a greater population density?
Town A: 397,546 people within 387 square miles
Town B: 264,108 people within 261 square miles
A. Town A, by about 15 people per square mile.
B. Town B, by about 126 people per square mile.
C. Town A, by about 1,027 people per square mile.
D. Town B, by about 1,012 people per square mile.
The town with the greater population density is C. Town A, with about 1,027 people per square mile.
What is the population density?Population density is the quotient of the number of individuals (population) living in a specified location divided by the geographic size of the area, usually measured in squared miles.
Towns Population Squared Miles Persons/square mile
Town A 397,546 387 1,027 (397,546/387)
Town B 264,108 261 1,012 (264,108/261)
Thus, we can conclude that Town A has a greater population density than Town B.
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multiplications of matrices
The value of matrix multiplication is
a) [tex]C = \begin{pmatrix}14&20\\ 32&46\end{pmatrix}[/tex]
b) [tex]C = \begin{pmatrix}7&35\\ 8&42\end{pmatrix}[/tex]
c) [tex]C = \begin{pmatrix}22&32\\ 26&38\end{pmatrix}[/tex]
d) [tex]C =\begin{pmatrix}-3&-5\\ 34&52\end{pmatrix}[/tex]
What is multiplication of matrices?
The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix
Given data ,
a)
Let the first be A
[tex]A = \left[\begin{array}{ccc}1 &2 \\ 3 & 4 \\\end{array}\right][/tex]
Let the second matrix be B
[tex]B = \left[\begin{array}{ccc}4 &6 \\ 5 & 7 \\\end{array}\right][/tex]
Now , the product of matrices A and B is C
where the matrix C is A x B
[tex]C = \begin{pmatrix}1\cdot \:4+2\cdot \:5&1\cdot \:6+2\cdot \:7\\ 3\cdot \:4+4\cdot \:5&3\cdot \:6+4\cdot \:7\end{pmatrix}[/tex]
On simplifying the matrix C , we get
[tex]C = \begin{pmatrix}14&20\\ 32&46\end{pmatrix}[/tex]
Therefore , the value of matrix is [tex]C = \begin{pmatrix}14&20\\ 32&46\end{pmatrix}[/tex]
b)
Let the first matrix be A
[tex]A = \left[\begin{array}{ccc}3 &5 \\ 4 & 6 \\\end{array}\right][/tex]
Let the second matrix be B
[tex]B = \left[\begin{array}{ccc}-1 &0 \\ 2 & 7 \\\end{array}\right][/tex]
Now , the product of matrices A and B is C
where the matrix C is A x B
[tex]C = \begin{pmatrix}3\left(-1\right)+5\cdot \:2&3\cdot \:0+5\cdot \:7\\ 4\left(-1\right)+6\cdot \:2&4\cdot \:0+6\cdot \:7\end{pmatrix}[/tex]
On simplifying the matrix C , we get
[tex]C = \begin{pmatrix}7&35\\ 8&42\end{pmatrix}[/tex]
Therefore , the value of matrix is [tex]C = \begin{pmatrix}7&35\\ 8&42\end{pmatrix}[/tex]
c)
Let the first matrix be A
[tex]A = \left[\begin{array}{ccc}4 &6 \\ 5 & 7 \\\end{array}\right][/tex]
Let the second matrix be B
[tex]B = \left[\begin{array}{ccc}1 &2 \\ 3 & 4 \\\end{array}\right][/tex]
Now , the product of matrices A and B is C
where the matrix C is A x B
[tex]C = \begin{pmatrix}4\cdot \:1+6\cdot \:3&4\cdot \:2+6\cdot \:4\\ 5\cdot \:1+7\cdot \:3&5\cdot \:2+7\cdot \:4\end{pmatrix}[/tex]
On simplifying the matrix C , we get
[tex]C = \begin{pmatrix}22&32\\ 26&38\end{pmatrix}[/tex]
Therefore , the value of matrix is [tex]C = \begin{pmatrix}22&32\\ 26&38\end{pmatrix}[/tex]
d)
Let the first matrix be A
[tex]A = \left[\begin{array}{ccc}-1 &0 \\ 2 & 7 \\\end{array}\right][/tex]
Let the second matrix be B
[tex]B = \left[\begin{array}{ccc}3 &5 \\ 4 & 6 \\\end{array}\right][/tex]
Now , the product of matrices A and B is C
where the matrix C is A x B
[tex]C = \begin{pmatrix}\left(-1\right)\cdot \:3+0\cdot \:4&\left(-1\right)\cdot \:5+0\cdot \:6\\ 2\cdot \:3+7\cdot \:4&2\cdot \:5+7\cdot \:6\end{pmatrix}[/tex]
On simplifying the matrix C , we get
[tex]C =\begin{pmatrix}-3&-5\\ 34&52\end{pmatrix}[/tex]
Therefore , the value of matrix is [tex]C =\begin{pmatrix}-3&-5\\ 34&52\end{pmatrix}[/tex]
Hence , the matrix multiplication is solved and the results are given
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PLEASE HELLP MEEEEEE
Answer: angle EHF = 31 degrees
Step-by-step explanation:
Complementary angles mean either of two angles whose sum is 90°.
So the equation is 6x-1+3x+1=90
combine like terms
9x=90
x=10
Substitute in 10 to EHF or 3x+1
3(10)+1
angle EHF = 31
The vertex form of the quadratic function f(x)=-6x^2-60x-151 is f(x)=a(x-h)^2+k
The values of a, h and k for the given quadratic function are:
a = -6, h = -5 and k = -1
What is vertex form?
This is one way of writing a quadratic function:
f(x) = a(x-h)² +k
(h, k) = vertex
a = vertical stretch
According to the given question:
We're given:
f(x)= -6x² - 60x - 151
To write a quadratic function in vertex form, we must complete the square.
⇒ Put parentheses around the first two terms containing x and x²:
f(x)= (-6x² - 60x) - 151
⇒ Factor out -6 (keeping the x's in the parentheses):
f(x)= -6(x² + 10x) - 151
⇒ To complete the square, add, inside the parentheses, the square of half the coefficient of x.
⇒ In this case, the coefficient of x is 10.
⇒ Half of this value is 5.
⇒ The square of 5 is 25.
⇒ Add this inside the parentheses:
f(x) = -6(x² + 10x + 25) - 151
⇒ Now, we cannot randomly introduce a new value into a function. To balance the +25, subtract -6(25) outside the parentheses:
f(x) = -6(x² + 10x + 25) - 151 - (-6 x 25)
f(x) = -6(x² + 10x + 25) - 151 - (-150)
f(x) = -6(x² + 10x + 25) - 151 + 150
f(x) = -6(x² + 10x + 25) - 1
⇒ Finally, complete the square.
Remember: (a + b)² = a² + 2ab + b²
In this case, a is x, and b is 5:
f(x) = -6(x + 5)² - 1
On comparing with f(x) = a(x-h)² +k we get the values of a, h and k as:
a = -6
h = -5
k = -1
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9. The product of 1000 whole numbers is 1000. What is the
largest possible value the sum of these numbers can have?
A) 1000
B) 1992
C) 1993
D) 1999
Answer:
1000
Step-by-step explanation:
If your annual pay is $36,010, what is your biweekly pay based on 26 biweekly paychecks? what is your hourly rate of pay if you work 160 hours per month? what is your overtime rate?.
The biweekly pay is $1,385, the hourly rate of pay for 160 hours of work per month is $17.31, and the overtime rate of pay is $25.96.
Calculation:It is given that, the annual pay is $36,010.
There are 52 weeks in a year. So, there are 26 biweeks in a year.
Then, the biweekly pay = (Annual pay)/the number of biweeks in a year
⇒ biweekly pay = (36,010)/26 = $1,385
There are 160 working hours in a month.
So, biweekly working hours = 160/2 = 80 (for two weeks in a month)
Then, the hourly rate of pay is calculated by
hourly rate of pay = biweekly pay/biweekly working hours
⇒ hourly rate of pay = 1,385/80 = $17.31
To calculate the overtime rate of pay, we need to know the number of overtime working hours and the multiplier.
Here we are finding the overtime rate per hour. So, we can find the overtime rate of pay by
overtime rate of pay = hourly rate of pay × multiplier
We have the overtime multiplier per hour as 1.5.
Then,
Overtime rate of pay = 17.31 × 1.5 = $25.96
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2.5x2−1.95x=225.6 or 2.5x2−1.95x−225.6
The solution of the equation 2.5x² − 1.95x − 225.6 = 0 will be negative 9.117 and 9.897.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
2.5x² − 1.95x = 225.6
Simplify the equation, then we have
2.5x² − 1.95x = 225.6
2.5x² − 1.95x − 225.6 = 0
Then the solution of the equation is given as,
[tex]\rm x = \dfrac{-(-1.95) \pm \sqrt{(-1.95)^2 - 4 \times 2.5 \times (-225.6)}}{2 \times 2.5}[/tex]
Simplify the expression, then we have
x = [1.95 ± 47.537] / 5
x = (1.95 + 47.537) / 5, (1.95 - 47.537) / 5
x = 9.897, -9.117
The solution of the equation 2.5x² − 1.95x − 225.6 = 0 will be negative 9.117 and 9.897.
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Which of the following points is in the solution set of y < 2x²-3x - 12?
(0,-12) | (4,-4) (0,-15) (3,-3) | (-2,1) (-2,2)
The point [tex]B(1,8)[/tex]is not a solution of the given inequality. Whereas the points [tex]C(-5,10) \text { and } D(3,6) \\[/tex]are the solutions of the given inequality.
What is inequality?
The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.
It can be found out simply by substituting [tex](x, y)[/tex] values in the given equation
[tex]y < 2 x^2+3 x-5[/tex]
let us start with the point [tex]3(1,8)[/tex]
here [tex]x=1 \text { and } y=8[/tex] therefore [tex]y < 2 x^2+3 x-5[/tex]
[tex]8 < 2\left(1^2\right)+3(1)-5=2+3-5=0[/tex]
that means, [tex]8 < 0[/tex] which is an incorrect inequality, therefore the point
[tex]B(1,8)[/tex] is not a solution of the given inequality.
similarly, for [tex]C(-5,10)[/tex]
[tex]10 < 2(-5)^2+3(-5)-5=50+15-5=60[/tex]
that is [tex]10 < 60[/tex], which is correct.
therefore[tex]C(-5,10)[/tex] is a solution of the given inequality.
next[tex]D(3,6)[/tex]
[tex]6 < 2(3)^2+3(3)-5=18+9-5=22[/tex]
that is[tex]6 < 22[/tex], which is correct . Therefore the point D is a solution of the given inequality.
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Find the greatest common factor
12=
16=
Answer:
4
Step-by-step explanation:
it's the best because of my friend its the greatest factor
Here are summary statistics for randomly selected weights of newborn girls: n = 36, x-bar = 3222.2 g, s = 686.7 g. Use a confidence level of 95%.
A. Identify the critical value t_a/2 used for finding the margin of error.
The margin of error, a statistic, is a measure of how much random sampling error there is in survey data.
The margin of error exists 0.07728.
What is meant by margin of error?A statistic known as the margin of error describes how much random sampling error there is in survey data. Less faith should be placed in a poll's results representing the outcome of a population census as the margin of error increases.
A survey's margin of error, also known as the confidence interval, is a measurement of error in the data, particularly when the sampling method of a survey is used. This indicator lets researchers know to what extent survey findings should be taken as representative of the entire community under study.
Given : n = 36
x-bar = 3222.2 g
s = 686.7
Confidence level 95%
The 2 - critical Valve = 2.03
A) Let the equation be
[tex]$S F=\sqrt{\frac{\bar{x}(1-\bar{n})}{n}}$$[/tex]
substitute the values in the above equation, we get
[tex]$& \Rightarrow \sqrt{\frac{(3222.2)(1-3222.2)}{100}} \\[/tex]
SE = 0.03807
B) Margin of error = (0.03807)(2 ×[tex]I_2[/tex] )
Margin of error = 0.07728
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12=7+15x solve for x
Answer:
x = 1/3
Step-by-step explanation:
12=7+15x
12-7=15x
5=15x
5/15=x
Simplify
x = 1/3
Answer:x=1/3 or x=0.3 I hope this helpful mark me brainlist if correct
Step-by-step explanation:
12=7+15x
Move the variable to the left-hand side and change its sign
12-15x=7
Then move the constant to the right-hand side and change its sign
-15x=7-12
Calculate the difference
-15x=-5
Divide both sides of the equation by -15
x=1/3 or x=0.3
One-year treasury bills currently earn 3. 25 percent. You expect that one year from now, one-year treasury bill rates will increase to 3. 45 percent and that two years from now, one-year treasury bill rates will increase to 3. 95 percent. The liquidity premium on two-year securities is 0. 05 percent and on three-year securities is 0. 15 percent. If the liquidity theory is correct, what should the current rate be on three-year treasury securities?.
3-year treasury securities as calculated from the data will now have a rate of 3.70%.
Current interest rate is calculated as Current Interest Rate + Liquidity Premium.
Average interest for 3 Year = (3.45% + 3.95% +3.25%)/3 = 3.55
3 year security liquidity premium = 0.15%
3 year Treasury security's current rate is 3.55% +0.15%.
= 3.70%
Therefore, The current rate be on 3-year treasury securities is 3.70%.
Interest is the fee paid for having access to borrowed funds. While the interest rate used to compute interest is often reported as an annual percentage rate, interest expense or revenue is sometimes expressed as a dollar figure (APR).
The compensation a lender or financial organisation receives for giving out money is called interest. The percentage of a stockholder's ownership in a corporation that is also referred to as interest.
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if f (x) = 4x - 1, what is f (-2)
PLEASE HELP!
Answer: -9
Step-by-step explanation: If you subtitutie -2 in for x, ask yourself , what is 4*-2 which is -8 which is then subtracted by 1 which gets you -9 so, this means f (-2)=-9
Hope this helped!
A 6th grade cla did a weekend fitne challenge. Each tudent et a goal of `75` minute of fitne. Amanda exercied for `78` minute. What percent of the goal did he achieve?
Answer: 104%
Step-by-step explanation:
75/78=1.04
Use completing the square to solve this quadratic equation x^2+8x+16=2
Answer:
x = -4 ± √2
Step-by-step explanation:
x^2+8x+16=2
(x + 4)^2 = 2
x + 4 = ±√2
x = -4 ± √2
Expand and simplify:
y(2y³ - 4y² + 8) − 3y²
Who ever is reading these and trying to solve this thank you so much (extra points for you) you helped me so much in my examination I love you.
Answer:
2y4−4y3−3y2+8y :)
Satellites KA-12 and SAL-11 have spotted a UFO. Scientists want to determine its distance from KA-12 so they can later determine its size. The distance between these satellites is 900 km. From KA-12's perspective, the angle between the UFO and SAL-11 is 60∘. From SAL-11's perspective, the angle between the UFO and KA-12 is 75∘. How far is the UFO from KA-12?
The distance between UFO and KA-12 is 1229.7 Km
Given,
Satellites KA-12 and SAL-11 have spotted a UFO.
Distance between Satellites KA-12 and SAL-11 = 900 km
Angle between UFO and SAL-11 = 60°
Angle between UFO and KA-12 = 75°
We have to find the distance between UFO and KA-12;
Here,
Consider as a triangle;
Sum of interior angles of a triangle = 180 degree
So,
The third angle here will be = 180 - 60 + 75 = 180 - 135 = 45°
Now, use sin rule;
x / sin 75 = 900 / sin 45
x = sin 75 × 900 / sin 45
x = 900 × 0.966 / 0.707
x = 869.4 / 0.707
x = 1229.7
That is,
UFO is 1229.7 Km far from KA-12
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A line passes through the points (16, 20) and (10, 14). What is its equation in slope-intercept form?
Answer:
y= x +4
Step-by-step explanation:
2 point form : y -20 = x- 16
slope intercept form: y = x + 4
JP Sports sold football boots on its first day of release. SoccerWorld sold 3 as many boots as JP Sports. DirectSportz sold 5 more boots than JP Sports. Each pair of football boots costs £70 The amount of sales from this particular boot totalled £7000
Work out how many pairs were sold by SoccerWorld.
The total number of pairs sold by SoccerWorld is 57
How to determine the total number of pairs sold by SoccerWorld?From the question, we have the following parameters that can be used in our computation:
SoccerWorld sold 3 as many boots as JP SportsDirectSportz sold 5 more boots than JP Sports. Cost of each pair = £70 Amount in sales = £7000The above parameters means that
s = 3j
d = 5 + j
70(s + d + j) = 7000
Where
j = JP Sports
s = SoccerWorld
d = DirectSportz
Divide both sides of 70(s + d + j) = 7000 by 70
s + d + j = 100
Substitute s = 3j and d = 5 + j
3j + 5 + j + j = 100
Evaluate the like terms
5j = 95
Divide by 5
j = 19
Substitute j = 19 in s = 3j
s = 3 * 19
So, we have
s = 57
Hence, the number of pairs is 57
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(05.01)
The graph below shows a system of equations:
y=x+4
3y = -2x + 2
The x-coordinate of the solution to the system of equations is
Answer:
x= -2
Step-by-step explanation:
since we know what y equals we fill it into the second equation
3(x+4)= -2x+2
3x+12=-2x+2
-12. -12
3x=-2x-10
+2x +2x
5x=-10
/5. /5
x= -2
hopes this helps please mark brainliest
GEOMETRY! Someone help!
By ASA property
What is congruent triangle?Therefore, if all three sides of two triangles are the same, then the triangles are said to be congruent. If we have a side, an angle between the sides, and then another side that is congruent, we know they are congruent. In other words, side, angle, side.
We are asked that will property will show that Δ NKL ≅Δ LMN
It is given that NL bisect KNM and KLM
∠ KNL≅ ∠ MNL (by bisect property) (angle)
∠ KLN ≅∠MNL (by bisect property) (angle)
line NL (common)
Thus by ASA property we can say that Δ NKL ≅ΔLMN
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the equation of a line is y = 4x + 8
what is the y-intercept of the line?
Answer:
The y-intercept is 8.
all values of x by factoring.
X
x2
x² - 9x - 20 = -2x - 2
Answer:
Step-by-step explanation:
Solve by Factoring 2x^2-9x=x^2-20. 2x2−9x=x2−20 2 x 2 - 9 x = x 2 - 20. Step 1. Move all the expressions to the left side of the equation.
:)
A boat can travel 302.9 miles on 23.3 gallons of gasoline. How far can it travel on 13.7 gallons?
Answer:
178.7 miles
Step-by-step explanation:
First, determine the miles per gallon:
[tex]\frac{302.9\ miles}{23.3\ gallons}\\13.0\frac{miles}{gallon}[/tex]
Then, use that value to find miles traveled on 13.7 gallons:
[tex]13.7\ gallons(\frac{13\ miles}{1\ gallon})\\178.7\ miles[/tex]
Please help with these
The values would be
sin2x = -3/5
cos2x = -4/5
tan2x = 3/4
What are double angles in trigonometry?
The double angle formulas are used to find the values of double angles of trigonometric functions using their single angle values. For example, the value of cos 30° can be used to find the value of cos 60°. Also, the double-angle formulas can be used to derive the triple-angle formulas.
Given: tanx = -3
Now as we know,
[tex]sin2x=\frac{2tanx}{1+tan^2x}\\\\sin2x=\frac{2(-3)}{1+(-3)^2}\\\\sin2x=\frac{-6}{10}\\\\sin2x=\frac{-3}{5}[/tex]
Now
[tex]cos2x=\frac{1-tan^2x}{1+tan^2x}\\\\cos2x=\frac{1-(-3)^2}{1+(-3)^2}\\\\cos2x=\frac{1-9}{1+9}\\\\cos2x=\frac{-8}{10}\\\\cos2x=\frac{-4}{5}[/tex]
And similarly, we can find the value of tan2x, as
tan2x = sin2x/cos2x
= (-3/5)/(-4/5)
= 3/4
Hence,
The values would be
sin2x = -3/5
cos2x = -4/5
tan2x = 3/4
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For positive angles A and B, it is known that tan A = 5/12 and sin B = 3/5. Find the value of cos(A-B) in simplest form.
This question has me stumped. can anyone help?
The value of the cos(A - B) in simplest form would be 273/100.
What are the trigonometric angles?
Trigonometry angles are the angles given by the ratios of the trigonometric functions. Trigonometry deals with the study of the relationship between angles and the sides of a triangle. The angle value ranges from 0-360 degrees. The important angles in trigonometry are 0°, 30°, 45°, 60°, 90°, 180°, 270° and 360°.
sin B = 3/5
tan A = 5/12
We have find cos(A - B)
first, let’s hope these are both all-integer triangles:
In a 3-4-5 Right triangle,
sinB = 3/5, cos B = 4/5
For tanA = 5/12 the hypotenuse turned out to be 13.
sin A = 5/12
cos A = 12/13
So now we just use the identity for cos ( A + B )
cos(A - B) = cosAcosB + sinAsinB
= (12/13)(4/5) + (5/12)(3/5)
= (60 + 52/65) + (25 + 36/60)
= (112/65) + (61/60)
= 273/100
Hence, the value of the cos(A - B) in simplest form would be 273/100.
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A 750ml of red wine bottle and has 12% alcohol, 330ml of beer bottle with 5% alcohol. How many bottles of beer do we have to consume in order to be equal in red wine alcohol
Answer: five beers' worth of alcohol in a bottle of wine.
Step-by-step explanation:
In order to have an equivalent amount of alcohol as red wine, we would need to consume approximately 6 bottles of beer.
To determine how many bottles of beer need to be consumed in order to have an equivalent amount of alcohol as red wine, we can compare the alcohol content in both beverages.
The red wine has a volume of 750 ml and an alcohol content of 12%. This means that the red wine contains 750 ml x (12/100) = 90 ml of alcohol.
The beer has a volume of 330 ml and an alcohol content of 5%. This means that each bottle of beer contains 330 ml x (5/100) = 16.5 ml of alcohol.
To find the number of beer bottles needed to match the alcohol content of the red wine, we divide the total amount of alcohol in the red wine by the amount of alcohol in one beer bottle:
The number of beer bottles:
90 ml / 16.5 ml = 5.45
Since we can't have a fraction of a beer bottle, we round up to the nearest whole number.
To learn more about the division;
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