The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes, On Tuesday, the baker makes a total of 60 muffins how many muffins did she make on tuesday
The number of blueberry muffins the baker makes on Tuesday is given by the equation A = 24 blueberry muffins
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of blueberry muffins the baker makes be A
Now , the equation will be
The total number of muffins the baker makes on Tuesday = 60 muffins
The percentage of blueberry muffins = 40 %
So ,
The number of blueberry muffins the baker makes A = total number of muffins the baker makes on Tuesday x percentage of blueberry muffins
Substituting the values in the equation , we get
The number of blueberry muffins the baker makes A = 60 x ( 40/100 )
On simplifying the equation , we get
The number of blueberry muffins the baker makes A = 60 x 0.4
The number of blueberry muffins the baker makes A = 24 blueberry muffins
Therefore , the value of A is 24
Hence , the number of muffins is 24
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N is an integer such that
3n+4 <19 and 10n/n^2+16Find all the possible values of n.
N is the integer between {3,4,5}.so we can find all possible values of n is 2 and 8.
What is an integer?An integer is a whole number that can be positive, negative or zero. Examples of integers are -5, 1, 5, 8, 97, and 3,043.The integers are generated from the set of counting numbers and the operation.
What are the steps to solving inequalities?Subtract the same number from both sides. Multiply both sides by the same positive number. Divide both sides by the same positive number. Multiply both sides by the same negative number and reverse the sign.
Now we solve
3n+4 <19
3n+4-4<19-4
3n<15
n<5
so n is less than and equal to 5 it will be {3, 4, 5].
10n/[tex]n^{2}[/tex]+16 >1
10n> [tex]n^{2}[/tex] +16
0> [tex]n^{2}[/tex]-10n +16
0>[tex]n^{2}[/tex] -8n -2n +16
0> n(n-8)-2(n-8)
0> (n-8) (n-2)
So n-2<0 n-8<0
n<2 n<8
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Find the flux of F across S,
F. N dS
where N is the upward unit normal vector to S.
F(x, y, z) = xi + yj + zk
S: z = 1 − x^2 − y^2, z ≥ 0
The flux of F across S will be [tex]\frac{3\Pi}{2}[/tex]
A vector of magnitude 1 that is at some point perpendicular to a two-dimensional curve is referred to as the unit normal vector. Normally, you search for a function that returns not just one vector but all potential unit normal vectors of a given curve.
A vector that is perpendicular to a surface at a certain location is known as the normal vector, also referred to as the "normal" to a surface. The inward-pointing normal (pointing toward the interior of the surface) and outward-pointing normal are often distinguished when normals are taken into consideration on closed surfaces.
[tex]$Z_x=-2 x: \quad Z_y=-2 y$[/tex]
[tex]$N=\langle 2 x, 2 y, 1\rangle \quad: f=\langle x, y, z\rangle$[/tex]
[tex]f. $N=2 x^2+2 y^2+z=2 x^2+2 y^2+1-x^2-y^2$[/tex]
=1+x^2+y^2
[tex]x^2+y^2=1\\ \Rightarrow \quad x=r \cos \theta\\ \Rightarrow \quad y=r \sin \theta \\ \Rightarrow x^2+y^2=r^2 \\ 0 < r < 1: \quad 0 < \theta < 2 \pi[/tex]
[tex]$R \cdot v=\int_0^{2 \pi} \int_0^1\left(1+r^2\right)(r) dr d \theta$[/tex]
[tex]$=2 \pi \int_0^1 r+r^3 d r$[/tex]
[tex]$2 \pi\left[\frac{r^2}{2}+\frac{r^4}{4}\right]_0^1$[/tex]
[tex]$=(2 \pi)\left(\frac{1}{2}+\frac{1}{4}\right)$[/tex]
[tex]$=\frac{(2 \pi)(3)}{42}=\frac{3 \pi}{2}$[/tex]
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Find the area of the shaded regions. give your answer as a completely simplified exact value in terms of π
The area of the shaded regions is 4π + 4, which can be obtained by subtracting 2π - 4 from 3π. This is an exact value, with no further simplification required.
Step 1: Calculate the area of the entire circle.
A = πr^2
A = π(5)^2
A = 25π
Step 2: Calculate the area of the unshaded region.
A = πr^2
A = π(2)^2
A = 4π
Step 3: Subtract the area of the unshaded region from the area of the entire circle.
A = 25π - 4π
A = 21π
Step 4: Calculate the area of the shaded region.
A = 21π - (2π - 4)
A = 21π - 2π + 4
A = 19π + 4
A = 4π + 4
The area of the shaded regions can be found by subtracting the area of the unshaded region from the area of the entire circle. To find the area of the entire circle, we use the formula A = πr^2, where r is the radius of the circle. Plugging in r = 5, we get A = 25π. To find the area of the unshaded region, we use the same formula, but now with r = 2. This gives us A = 4π. Subtracting the area of the unshaded region from the area of the entire circle gives us A = 21π. We then subtract 2π - 4 from 21π to get the area of the shaded region, which is 4π + 4. This is an exact value, with no further simplification required.
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George is creating a garden with
an area of 300 square feet. He's
trying to decide if he should make
the garden 20 feet long and 15
feet wide OR 30 feet long and 10
1 feet wide. Which measurements
would use less fencing?
If George is trying to fence the garden with less fences possible between the two options given in the question, the first option of measurements i.e 20 feet long and 15 feet wide would take less fencing.
What is perimeter of a rectangle?It is the entire distance encircled on all sides by the rectangle.One of the key equations for the rectangle might be regarded to be its perimeter.
What is the formula for calculating the perimeter of a rectangle?The formula for calculating the perimeter of a rectangle is :
P = 2*l + 2 *b where , l and b are the length and breadth of the rectangle.
For the first option, where the garden is 20 feet long and 15 feet wide, the perimeter would be 20+20+15+15 = 70 feet.
For the second option, where the garden is 30 feet long and 10 feet wide, the perimeter would be 30+30+10+10 = 80 feet.
Therefore, the first option where the garden is 20 feet long and 15 feet wide would use less fencing, 70ft in this case, as the perimeter is lower than the other option which is 80 ft.
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What are 3 horizontal lines?
The 3 horizontal line refers the equivalent relation.
The term horizontal line in math defined as a straight line that is mapped from left to right and it is parallel to the X-axis in the plane coordinate system.
Here have to find the meaning of 3 horizontal line.
As per the definition of horizontal line, the three horizontal line also known as triple line defines the equivalent relation of the term.
Here the equivalent that is not the same as 'equals'
Where the double bar is more common and generally implies equality on the other hand the triple bar or equal sign with three lines means congruent or, more generally, an arbitrary equivalence relation.
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Ben's mom is 22 years older than ben. In 5 years she will be 3 times as old as he will be. How old are they now?
In linear equation, Ben is 9 years old currently.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
Ben's mom = 22 years
Ben is 9 years old currently.
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The other day, we made green water by mixing 5 ml of blue water with 15 ml of yellow water.
We want to make a very SMALL batch of the SAME shade of green water.
We need to know how much yellow water to mix with only 1 ml of blue water.
How do you find the slope of a line example?
The easiest way to find the slope of a line is converting the line equation into the slope-intercept form.
There are 3 forms of line equations:
- slope intercept form, the equation is given by:
y = mx + b
Where:
m = slope
- point slope form, the equation is given by:
y − y₁ = m (x - x₁)
Where:
m = slope
- standard form: Ax + By = C
The easiest way to find the slope of a line is to convert it into a slope-intercept form.
Example:
Line equation in standard form:
2x + 4y = 6
We will convert it into slope-intercept form.
4y = -2x + 6
y = (-2/4) x + 6
y = (-1/2) x + 6
Hence, the slope is (-1/2)
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[tex]343^{-4/3}[/tex]simplify
The value of the expression [tex]343^{-4/3}[/tex] is 1/2401.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]343^{-4/3}[/tex]
This can be written as,
1/[tex]343^{4/3}[/tex]
343 = 7³
= 1/[tex]7^{3\times4/3}[/tex]
= 1/[tex]7^4[/tex]
[tex]7^4[/tex] = 7 x 7 x 7 x 7 = 49 x 49 = 2401
= 1/2401
Thus,
The value of the expression is 1/2401.
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A cylindrical cooler ha a diameter of 30 inche and a height of 24 inche. Runner in
a marathon can ue cone haped cup to get a drink from the cooler. If the cup have a
diameter of 3 inche and a height of 4 inche, how many full cup would be able to
be filled from the cooler?
So, 600 full cup would be able to be filled from the cooler. This can be solved using the concept of volume of cylinder.
What is volume of cylinder?The three-dimensional form of a cylinder is made up of two parallel circular bases connected by a curving surface. The right cylinder is created when the centers of the circular bases cross each other. The measure of space within a cylinder is measured by its volume. Find it by dividing the base area by the height. V = πr²h is the formula for the volume of a cylinder with base radius "r" and height "h."
Given that,
diameter of cylinder = 30 inch
diameter of cup = 3 inch
height of cylinder = 24 inch
height of cup = 4 inch
Calculate the volume of the cylinder:
Volume = πr²h
putting the values we get:
Volume = (3.14)(30/2)²(24)
Volume = (3.14)(15)²(24)
Volume = (3.14)(225)(24)
Volume = 16959 in³
Calculate the volume of the cup:
Volume = (3.14)(3/2)²(4)
Volume = (3.14)(1.5)²(4)
Volume = (3.14)(2.25)(4)
Result
Volume = 28.26 in³
Divide the volume of the cylinder by the volume of the cup, we get:
Number of full cups = 16959 in³ / 28.26 in³
Number of full cups = 600
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Pierre, the mountain climbing ant, moves along the x-axis so that at
time t its position is given by x(t) = 2cos(π/2 t^2).
For values of t in the interval [-1,1]
(a)Find an expression for the velocity of the ant at any given time t.
(b) Find an expression for the acceleration at any given time t.
(c)Determine the values of t for which the ant is moving to the right.
Justify your answer.
(d) Determine the values of t for which the ant changes direction.
Justify your answers
The velocity of an ant moving along the x-axis whose position is given by x(t) = 2cos(π/2 t^2) is v(t) = -πtsin(π/2 t^2) and acceleration is a(t) = -π²t²cos(π/2 t^2) - πtsin(π/2 t^2). The ant moves in right direction in the time interval [-1, 0) and changes direction at t = 0.
(a) To find the velocity of the ant at any given time t, we need to take the derivative of the position function x(t) with respect to t. The derivative of x(t) = 2cos(π/2 t^2) is:
v(t) = -πtsin(π/2 t^2)
So the velocity of the ant at time t is given by -2πsin(π/2 t^2)
(b) To find the acceleration at any given time t, we need to take the derivative of the velocity function v(t) with respect to t. The derivative of v(t) = -πtsin(π/2 t^2) is:
a(t) = -π²t²cos(π/2 t^2) - πtsin(π/2 t^2)
So the acceleration of the ant at time t is given by -π²t²cos(π/2 t^2) - πtsin(π/2 t^2).
(c) To determine the values of t for which the ant is moving to the right, we need to look at the sign of the velocity function v(t) = -πtsin(π/2 t^2). Since the sine function oscillates between -1 and 1, this function will be positive when sin(π/2 t^2) is negative, and negative when sin(π/2 t^2) is positive. Moving rights means positive value of x.
Therefore, the ant is moving to the right when sin(π/2 t^2) < 0. That is
(π/2)t^2 < sin⁻¹(0)
sin⁻¹(0) = nπ, where n = ..., -2, -1, 0, 1, 2, ...
t is in interval [-1, 1] so π/2t^2 is in interval [0, π/2]
sin⁻¹(0) = 0
(π/2)t^2 < 0
Therefore t < 0
That is possible values of t is [-1, 0)
(d) To determine the values of t for which the ant changes direction, we need to look at the sign of the acceleration function a(t) = -π²t²cos(π/2 t^2) - πtsin(π/2 t^2).
When ant change direction a(t) = 0.
-π²t²cos(π/2 t^2) - πtsin(π/2 t^2) = 0
πtcos(π/2 t^2) + sin(π/2 t^2) = 0
sin(π/2 t^2) = -πtcos(π/2 t^2)
tan(π/2 t^2) = -πt
On solving possible values of t in the interval [-1, 1] is 0.
So, the ant changes direction when t = 0.
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Theater tickets sold for $7.50 on
the main floor and $, in the
balcony. The total revenue was
$3250, and there were 100 more
main-floor tickets sold than
balcony tickets. Find the number
of each type of ticket sold.
(in Substitution method)
Cant figure the work out :/
Erin is picking out some movies to rent, and he has narrowed down his selections to 5 documentaries, 5 mysteries, 5 dramas, and 7 action movies. How many different combinations of 9 movies can he rent if he wants all 5 mysteries
If he wants to rent all 7 comedies, there are 91 different combinations of 9 movies that he could do so.
How are the various combinations determined?The following formula determines how many combinations of n objects can be taken r at a time: (n,r) = C(n,r)! .
She was a master of both wit and martial arts. The art and science of education blend beautifully. He saw slam poetry as the ideal synthesis of thought, writing, and theater. The desired mix is produced by the computer system (the perfect combination of arabica and robusta).
Five documentaries make up the total.
7 comedies total are available.
Four mysteries are present.
5 horror movies are there.
A total of 14 films, excluding comedies, are available.
If he wants to rent all 7 comedies, there are a total of 9 different combinations that he can do.
1 * (14*13)/2 = 91
If he wants to rent all 7 comedies, there are 91 different combinations of 9 movies that he could do so.
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13. Solve for x. (show work)
Answer:
The value of x is 12.
i think it is correct.
A particle traveled a distance of 9. 0 x 1012 meters at a rate of 1. 8 x 105 meters
per second. If distance = rate x time, how many seconds did it take the particle to
travel the specified distance?
A particle takes 5 × 10^7 sec of time to travel a distance of 9.0 × 10^12 meters at a rate of 1.8 × 10^5 meters.
What is speed?
Speed indicates how quickly something or someone is moving. If one knows how far something has travelled and how long it took to get there, then one can calculate its average speed.
The particle travels at a rate of 1.8 × 10^5 m.
The particle travels a distance of 9.0 × 10^12 m.
Let the time taken for the particle to travel be x.
The formula for calculating the distance traveled by the particle is -
distance = rate × time
time = distance/rate
Plugging in the values in the equation -
x = 9.0 × 10^12/1.8 × 10^5
x = 9.0/1.8 × (10^12-5)
x = 5 × 10^7 sec
Therefore, the time taken by the particle to travel is 5 × 10^7 sec.
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What is the value of x in log2 x 3?
value of x = 8 as per logarithm laws.
What is logarithm?In mathematics, logarithm is an exponent or power for which a particular number is raised to achieve a required number. In other words, logarithm is a mathematical expression that states about how many times a number can be multiplied by the same number to get some required numbers.
The method of expressing any exponential relationship in the inverse form is called log notation.
What is the value of x in the question?In this question, we are given a log base 2 or binary logarithm.
given, ㏒₂ x = 3
as per the logarithm laws ㏒a y = m
y = a∧m
we write. ㏒₂ x = 3
x = 2³
hence, x = 8
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In ΔOPQ, the measure of ∠Q=90°, the measure of ∠P=76In ΔOPQ, the measure of ∠Q=90°, the measure of ∠P=76°, and PQ = 4. 1 feet. Find the length of OP to the nearest tenth of a foot. °, and PQ = 4. 1 feet. Find the length of OP to the nearest tenth of a foot
The length of OP to the nearest tenth of a foot is 16.9 ft
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
ΔOPQ is right triangle
Tan (p) = opposite/adjacent = OQ/PQ
Tan (76) = OQ/4.1
4.010 = OQ/4.1
OQ = 4.010 * 4.1 = 16.441
OP² = OQ² + PQ² = 16.441 ² + 4.1² = 287.116
=> OP = √ 287.116 = 16.944
OP≅ 16.9 ft
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Find the value of x and y so that the quadrilateral is a parallelogram.
(4x - 35° (y + 15)
(2y-5) (3x + 10)
X=
y =
Therefore, for x = 45 and y = 20, the quadrilateral is a parallelogram.
Define quadrilateral.In geometry a quadrilateral is a four-sided polygon, having four edges and four corners.
What is a polygon?A polygon is a closed polygonal chain made up of a limited number of straight-line segments and is a type of planar figure in geometry. A polygon is an area that is bordered by a bounding circuit, a bounding plane, or both.
We know opposite sides of a parallelogram are equal in length and parallel. Given opposite sides of a parallelogram are:
(4x - 35) and (3x + 10)
(y + 15) and (2y - 5)
Now, setting those opposite sides equal to each other:
4x - 35 = 3x + 10 = >x = 45
y + 15 = 2y - 5 => y = 20
Therefore, x = 45 and y = 20, the quadrilateral is a parallelogram.
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A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function C(x)=0.1x²-22x+11,599. How many machines must be made to
minimize the unit cost?
Do not round your answer.
The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .
What is Quadratic Equation?
Quadratic equation can be defined as the equation which is in the form of ax^2 +bx +x = 0.
where a,b,c are constants.
Given ,
The standard form of a quadratic is given by:
ax^2 + bx + c
So for our function, we can say,
a = 0.1
b = -22
c = 11599
We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a
So,
= -(-22) / 2*0.1
=22/0.2
= 110
Plugging this value into original function would give us the minimum (unit cost):
C(x) = 0.1 x ^2 - 22x +11599
C(x) = 0.1(110*110) - 22(110)+11599
C(x) = 110(11-22) + 11,599
C(x) = -11(110) + 11599
C(x) = -1210 + 11599
C(x) = 10,389
Hence , The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .
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Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years find out how much he owes and interest and how much he needs to pay back
Answer:
P=3000$
T=2 years
R=1.6% per annum
Now,
interest=(3000×2×1.6)/100=96$
Amount=P+interest=3096$
Hence,Conan needs to pay back 3096$ and the interest is 96$
Find the value of x. Assume that segments that appear to be tangent are tangent.
Assuming segments that appear to be tangent are tangent, sqrt(277) = x has an estimated value of 16.64331698.
what is Pythagoras theorem ?The Pythagorean Theorem, often referred as the Mathematics, is the fundamental Euclidean geometry relationship among the three sides of a right triangle. The area of a squares with the equilateral triangles side is the sum of the surfaces of square with the other two sides, according to this rule. The Pythagorean Theorem says that the square that spans a right triangle's hypotenuse opposite the perfect angle equals the sum of the squares that span its sides. It is sometimes written as the generic algebra notation a2 + b2 = c2.
given
14 is tangent to the circle and 9 is a radius, making this a right triangle.
In order to resolve this issue, we can employ the Pythagorean theorem.
a^2 +b^2 =c^2
9^2+14^2 =x^2
81+196 = x^2
277 = x^2
Taking the square root of each side
sqrt(277) = sqrt(x^2)
sqrt(277) =x
Assuming segments that appear to be tangent are tangent, sqrt(277) = x has an estimated value of 16.64331698.
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I need help on these questions. They confuse me.
The graphic solution for each system of equations is given as follows:
20. (5/3, 28/3).
21. (0.205, 3.846).
22. (-1/2, -5/2).
23. (-4.615, 7.462).
How to solve a system of equations graphically?The graphic solution of a system of equations is given by the point of intersection of all the equation that compose the system.
For this problem, the systems are composed by functions of the first degree, hence they are linear functions.
For each system, the graph is traced, and then the point of intersection is identified on the graph given at the end of the answer.
Each system is traced on a different color, as follows:
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Pls help 1-6 example at the SIDE
A financial analyst wants to set up a hypothesis test to determine if the mean yearly salaries of teachers, tutors, and professors are the same. What would be the correct setup for the null and alternative hypotheses for this test
Null hypothesis (H0): There’s no effect in the population. Alternative hypothesis (Ha or H1): There’s an effect in the population.
Which null and alternative hypotheses are correct?The null and alternative hypotheses are two opposing ideas that researchers use a statistical test to analyze evidence for and against: The null hypothesis (H0) states that there is no influence in the population. Alternative hypothesis (Ha or H1): There is a population effect.
Identify the null and alternative hypotheses.
As well as the sample size, specify.
Choose a suitable statistical test.
Gather information (note that the previous steps should be done prior to collecting data)
Based on the sample data, compute the test statistic.
Examine the null hypothesis, usually indicated by H0.
Always write the alternative hypothesis, which is usually marked by Ha or H1, with less than, greater than, or not equals symbols, i.e., (,>,or).
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7. A stock is worth $21. Its value is increasing at a rate of $0. 25 per week a.
Write an equation for the value y (in dollars) of the stock after x weeks.
b. If this trend would continue, what would be the value of the stock after 20 weeks?
The Equation for the value y is a. y = 21 + 0.25x (where x represents the number of weeks)
b. The value of the stock after 20 weeks would be 21 + (0.25 * 20) = $26.
This equation represents the linear relationship between the value of the stock (y) and the number of weeks (x). The value of the stock is initially $21, and it increases by $0.25 every week. This is represented by the coefficient of x (0.25) in the equation. By plugging in x=20 into the equation, we can find that after 20 weeks, the value of the stock would be $26. This is assuming that the rate of increase remains constant over time.
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Solve the word problem using the RDW strategy. Show all of your work in your journal. Cheryl bought a sandwich for 5 1/2 dollars and a drink for $2. 60. If she paid for her meal with a $10 bill, how much money did she have left? Select the answer as a fraction and in dollars and cents. *
The amount that Cheryl left with is $ 1.9 or 1 dollar and 90 cents.
RDW strategy:1. READ and reread the problem first
2. DRAW an image to illustrate the information. Ask your self Can I infer anything from this information during this step? What could I doodle? Which model will best convey the information? What inferences may I draw from the illustration?
3. WRITE the drawings as a basis for your conclusions. This can be expressed as a mathematical expression, an equation, or a statement.
Given that
Cheryl bought a sandwich for 5 1/2 dollars and a drink for $2. 60
Here 5 1/2 = 11/2 = 5.5 dollars
Then the total cost of the sandwich and drink = $ 5.5 + $ 2.60 = $ 8.1
Given that Cheryl gave $ 10
The amount that Cheryl left with = $ 10 - $ 8.1 = $ 1.9
Here is $ 1.9 = 1 dollar and 90 cents
Therefore,
The amount that Cheryl left with is $ 1.9 or 1 dollar and 90 cents.
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What is the area of this parallelogram?
Answer: B
Step-by-step explanation:
Area = 4 x 5
= 20 cm^2
Remember that area of parallelogram is the base x perpendicular height. is The perpendicular height is not 6cm but 5cm. (right angle labelled on diagram)
Answer: 20 cm²
Step-by-step explanation:
area parallelogram = base x height
=> 4 x 5 = 20
I NEED HELP PLEASEEE!!!
If the radius is quadrupled, then the area of the new area to the old area will be 4:1
What is quadrupled?You should be aware that the quadrupled of a circle is four times the area of the old one.
In this case the area of the circle is denoted by
Area = πr²
Where r= radius=6 cm
The area of the old circle is 22/7 * 6 * 6
Area of the circle is = 113.1cm²
To this effect, the area of the new circle is 4(area of the old one)
Area = 4*22/7 * 6 * 6
Area = 3167/7
Area is = 452.6
This implies that 4(113.2) =452.6
In conclusion, you will discover that four times the area of the new circle is the old circle
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What is the greatest two-digit multiple of 13
Answer:
Step-by-step explanation:
91
As you can see 91 is the largest 2 digit multiple of 13 as the next multiple is 104 which is a 3 digit number.