Help with geometry on parallelograms.

The explicit formula for an, the nth term of the sequence is a(n) = 7(2)^n-1

From the question, we have the following parameters that can be used in our computation:

7, -14,28,..

The above definitions imply that we simply multiply -2 to the previous term to get the current term

Using the above as a guide,

So, we have the following representation

First term, a = 7

Common ratio, r = -2

The sequence is represented as

a(n) = a(r)^n-1

So, we have

a(n) = 7(2)^n-1

Hence, the sequence is a(n) = 7(2)^n-1

Read more about sequence at

https://brainly.com/question/29431864

#SPJ1

The weight of the water within an apple is 6.4 ounces if the apple weighs 8 ounces.

The amounts of water in an apple in ounces, given only that it contains 80% water. Yet, it is well known that an average apple contains 84% to 86% water by weight.

We need to know the apple's weight in ounces to translate the water content to 80%. 

Assume for the moment that the apple weighs 8 ounces. 80% is listed as the water content percentage. We may use the following formula to determine how much water is in an apple:

Weight of water = (water content percentage / 100) x weight of the apple

By entering the specified values, we obtain:

Weight of water = (80 / 100) x 8 ounces = 6.4 ounces.

Learn more about ounce conversion at

https://brainly.com/question/29091346

#SPJ4

Answer:

1. What is the maximum length of a chess table that is still within the tolerance limit?

To find the maximum length of a chess table that is still within the tolerance limit, we add the tolerance to the average length:

110 cm + 16.5 cm = 126.5 cm

Therefore, the maximum length of a chess table that is still within the tolerance limit is 126.5 cm.

2. What is the minimum length of a chess table that is still within the tolerance limit?

To find the minimum length of a chess table that is still within the tolerance limit, we subtract the tolerance from the average length:

110 cm - 16.5 cm = 93.5 cm

Therefore, the minimum length of a chess table that is still within the tolerance limit is 93.5 cm.

Step-by-step explanation:

In the diagram, the length of minor arc AB is approximately 3.9 inches

From the question, we are to calculate the length of the minor arc AB

To calculate the length of an arc, we can use the formula:

Arc Length = (Central Angle / 360) x (2πr)

Where:

Central Angle is the angle formed by the two radii at the center of the circle

r is the radius of the circle

From the given information,

Central angle = 56°

r = 4 in

Substituting the given values, we get:

Arc Length = (56° / 360) x (2π x 4 in)

Arc Length = 3.9095 in

Arc Length ≈ 3.9 in

Hence, the length of minor arc AB is approximately 3.9 inches

Learn more on Calculating the length of an arc here: https://brainly.com/question/4285669

#SPJ1

The solution for x is 5/2.

To solve for x, we will first simplify the expression on both sides of the equation and then isolate x on one side.

Step 1: Simplify the expression on the left side of the equation:

2(4x-3) = 8x - 6

Step 2: Simplify the expression on the right side of the equation:

10 + (-4x) + 14 = 24 - 4x

Step 3: Set the simplified expressions equal to each other:

8x - 6 = 24 - 4x

Step 4: Add 4x to both sides of the equation to isolate x on one side:

12x - 6 = 24

Step 5: Add 6 to both sides of the equation:

12x = 30

Step 6: Divide both sides of the equation by 12 to solve for x:

x = 30/12

Step 7: Simplify the fraction:

x = 5/2

Therefore, the solution for x is 5/2.

To know more about expression, refer here:

https://brainly.com/question/27951632#

#SPJ11

If Ranjit made pies for a fundraiser. The number of pies Ranjit made for the fundraiser is: 26.

Let p = total number of pies that Ranjit made

Let s = Total number of slices of pie that he made.

Since each pie is cut into 8 slices, we have:

s = 8p

After the first day of the fundraiser, Ranjit sold 10 slices, which means he had s - 10 slices left. Since he had 2 whole pies left, we know that he had 16 slices left. Therefore:

s - 10 = 16

Substituting s = 8p, we get:

8p - 10 = 16

Adding 10 to both sides, we get:

8p = 26

Dividing both sides by 8, we get:

p = 3.25

This means that Ranjit made 3.25 pies for the fundraiser.

The total number of slices would have been:

s = 8p = 8(3.25) = 26

On the first day, he sold 10 slices, which means he had 16 slices left. This matches our initial calculation and confirms that our solution is correct.

Learn more about number of pies here:https://brainly.com/question/20318545

#SPJ1

To solve for x, start by expanding the expression in the parentheses:

x = 6+((4x-28)1/2)
x = 6 + 2√(4x-28)

Next, subtract 6 from both sides of the equation:

2√(4x-28) = x - 6

Next, square both sides of the equation:

(2√(4x-28))2 = (x - 6)2

Then, solve for x:

(4x-28) = (x - 6)2
4x-28 = x2 - 12x + 36
x2 - 16x + 64 = 0

Solve for x by factoring:

(x-8)(x-8) = 0

x = 8

Therefore, the solution to the equation x = 6+((4x-28)1/2) is x = 8.

https://brainly.com/question/19297665

To know more about  equation click here:

The probability of both events A and B occurring is 0.3 or 30%.

The cumulative distribution function of X is F(x) = 17 * ln(x + 1) for x > 0.

The probability of event B occurring given that event A does not occur is 0.125 or 12.5%.

ANSWER 4:
We can use the formula P(AB) = P(A) * P(B|A) to find the probability of both events A and B occurring.
P(AB) = P(A) * P(B|A)
P(AB) = 0.5 * 0.6
P(AB) = 0.3
So the probability of both events A and B occurring is 0.3 or 30%.

ANSWER 5:
We can use the formula P(B|A) = P(AB) / P(A) to find the probability of event B occurring given that event A does not occur. We can also use the formula P(A') = 1 - P(A) to find the probability of event A not occurring.
P(A') = 1 - P(A)
P(A') = 1 - 0.2
P(A') = 0.8
P(B|A') = P(BA') / P(A')
P(B|A') = 0.1 / 0.8
P(B|A') = 0.125
So the probability of event B occurring given that event A does not occur is 0.125 or 12.5%.

ANSWER 6:
The cumulative distribution function (CDF) of a continuous random variable X is defined as F(x) = P(X <= x). To find the CDF of X, we need to integrate the probability density function (PDF) of X from 0 to x.
F(x) = ∫ f(t) dt from 0 to x
F(x) = ∫ (17/(t + 1)) dt from 0 to x
F(x) = 17 * ln(t + 1) from 0 to x
F(x) = 17 * ln(x + 1) - 17 * ln(0 + 1)
F(x) = 17 * ln(x + 1)
So the cumulative distribution function of X is F(x) = 17 * ln(x + 1) for x > 0.

To know more about probability, refer here:

https://brainly.com/question/30034780#

#SPJ11

The probability that the sample proportion will exceed 0.2983 is approximately 0.0708.

It is predicated on the likelihood that something will occur. The justification for probability serves as the basic foundation for theoretical probability. For instance, the theoretical chance of receiving a head while tossing a coin is half.

a) 0.28 percent of Canadians have green eyes. This ratio can be used to calculate the anticipated proportion of sample members who have green eyes:

Estimated number of green eyed individuals = Percentage of green eyed individuals * Sample size

Estimated population of those with green eyes: 600 divided by 0.28

168 persons with green eyes are anticipated.

As a result, we would anticipate that 168 members of the sample have green eyes.

b) The formula for calculating the sample proportion's standard deviation is:

Sample proportion's standard deviation is equal to sqrt[(p * (1-p)) / n].

where n is the sample size, and p is the percentage of people with green eyes (0.28). (600).

Sample proportion's standard deviation is equal to sqrt[(0.28 * (1-0.28)) / 600].

Sample proportion's standard deviation is 0.0258.

As a result, 0.0258 is the sample proportion's standard deviation.

c) We're looking for the likelihood that the sample proportion will be more than 0.2983. As the sample size is large enough to allow for the use of the normal approximation, we may use the conventional normal distribution to determine this probability.

Then, we must use the following formula to standardise the sample proportion:

z = [(P * (1 - P)] / sqrt[(p - P)]

where P is the population proportion (0.28), n is the sample size, and p is the sample proportion (0.2983) that we are interested in (600).

z = (0.2983 - 0.28) / sqrt[(0.28 * (1 - 0.28)) / 600]

z = 1.47

The chance of a standard normal variable reaching 1.47 can be calculated using a standard normal distribution table or calculator and is roughly 0.0708.

Thus, 0.0708 is about how likely it is that the sample proportion will be more than 0.2983.

To know more about probability visit:

https://brainly.com/question/30719832

#SPJ1

Answer:

54w²

Step-by-step explanation:

42w² + 15w²-3w²

42w²+ 15w²= 57w²

57w²-3w²= 54w²

1. 4(f+k)(x)=4(2x^2 - 5x - 8 + 2x + 4) = 8x^2 - 20x - 32.

Learn more about functions

brainly.com/question/14418346

#SPJ11

The vertices of the given hyperbola are (-1, -1 + sqrt(21)) and (-1, -1 - sqrt(21)), the foci are (-1, -1 ± sqrt(66)), the center is (-1, -1), and the asymptotes are y = -1 ± (sqrt(21)/sqrt(45))(x + 1).

To find the vertices, foci, center, and asymptotes of the given hyperbola, we need to use the standard form of a hyperbola equation:

(y - k)^2 / a^2 - (x - h)^2 / b^2 = 1

First, we need to find the center (h, k) of the hyperbola. From the given equation, we can see that h = -1 and k = -1, so the center of the hyperbola is (-1, -1).

Next, we need to find the values of a and b. From the given equation, we can see that a^2 = 21 and b^2 = 45, so a = sqrt(21) and b = sqrt(45).

Now, we can find the vertices of the hyperbola. The vertices are located at (h, k ± a), so the vertices are (-1, -1 ± sqrt(21)). This gives us the vertices (-1, -1 + sqrt(21)) and (-1, -1 - sqrt(21)).

Next, we need to find the foci of the hyperbola. The foci are located at (h, k ± c), where c = sqrt(a^2 + b^2). So, c = sqrt(21 + 45) = sqrt(66), and the foci are (-1, -1 ± sqrt(66)).

Finally, we need to find the asymptotes of the hyperbola. The equations of the asymptotes are y = k ± (a/b)(x - h). So, the equations of the asymptotes are y = -1 ± (sqrt(21)/sqrt(45))(x + 1).

So, the vertices of the given hyperbola are (-1, -1 + sqrt(21)) and (-1, -1 - sqrt(21)), the foci are (-1, -1 ± sqrt(66)), the center is (-1, -1), and the asymptotes are y = -1 ± (sqrt(21)/sqrt(45))(x + 1).

Learn more about Hyperbola

brainly.com/question/28989785

#SPJ11

There are several different measures of central tendency that can be used to describe the average of a data set. The three most common measures of central tendency are the mean, median, and mode. Each of these measures can be used to describe different types of data. Here are three examples of different types of data and the measures of central tendency that can be used to best describe the average:

Continuous data - Mean
The mean is the most commonly used measure of central tendency and is best used for continuous data, such as heights or weights. To calculate the mean, you add up all of the data points and divide by the number of data points. For example, if you have the following data set: 2, 4, 6, 8, 10, the mean would be (2 + 4 + 6 + 8 + 10) / 5 = 6.

Ordinal data - Median
The median is the middle value in a data set and is best used for ordinal data, such as rankings or scores. To calculate the median, you first need to order the data set from smallest to largest. Then, if there are an odd number of data points, the median is the middle value. If there are an even number of data points, the median is the average of the two middle values. For example, if you have the following data set: 1, 2, 3, 4, 5, the median would be 3.

Nominal data - Mode
The mode is the most frequently occurring value in a data set and is best used for nominal data, such as categories or names. To calculate the mode, you simply count how many times each value appears in the data set and choose the one that appears most frequently. For example, if you have the following data set: A, A, B, B, B, C, C, the mode would be B.

Learn more about central tendency

brainly.com/question/17330554

#SPJ11

Answer:

  £67.78

Step-by-step explanation:

Given that rolls come in a package of 20 for £2.87 and ham slices come in a package of 30 for £6.32, you want the minimum cost of enough packs for more than 90 sandwiches, each of which uses 1 roll and 2 ham slices.

One package of 20 bread rolls is enough for 20 sandwiches. One package of 30 ham slices is enough for 15 sandwiches. The least common multiple of these numbers is the number of sandwiches that will use a whole number of each of the kinds of packages:

  LCM(20, 15) = 60 = 3·20 = 4·15

We want to make a number of sandwiches that is more than 90. The least multiple of 60 that is more than 90 is 120.

120 sandwiches will require 120/20 = 6 packages of bread rolls, and 120/15 = 8 packages of ham slices.

The cost of 6 packages of bread rolls and 8 packages of ham slices is ...

  6×£2.87 +8×£6.32 = £17.22 +50.56 = £67.78

The least Tina can spend on packs of bread and ham is £67.78.

If the car moves in a straight line starting from the rest, then the total distance travelled by the toy car is 18m.

We first break the motion of the car into two parts:

So, the first part of the motion.

We know that the car accelerates from rest to a velocity of 5 m/s with a constant acceleration for 4 seconds.

We use the equation of motion : v = u + at;

where v = final velocity, u = initial velocity (which is 0 in this case), a is = acceleration, and t = time.
⇒ a = (v - u)/t

⇒ a = (5 - 0)/4,

⇒ a = 1.25 m/s²

Now, we can use another equation of motion to find the distance travelled during this time:

⇒ s = ut + (1/2)at²

where s=distance travelled, u=initial velocity (which is 0), a=acceleration, and t = time.

Substituting the values,

We get,

⇒ s = 0 + (1/2)(1.25)(4)²

⇒ s = 10 m

So, the distance travelled during the first part of the motion is 10 meters.

In the second part of the motion,

Car decelerates from 5 m/s to a complete stop with a constant deacceleration of 1 m/s² for 2 seconds.

So, we have : s = ut + (1/2)at²

where s = distance travelled, u = initial velocity (5 m/s), a = deacceleration (-1 m/s² ), and t = time.

Substituting the values,

We get,

⇒ s = 5(2) + (1/2)(-1)(2)²

⇒ s = 8m

So, the distance travelled during second part of motion is 8 meters.

The total distance travelled by the car is sum of distances travelled during the motion is :

⇒ Total distance = 10 m + 8 m = 18 m

Therefore, the total distance travelled is 18 meters.

Learn more about Distance here

https://brainly.com/question/28291827

#SPJ4

The given question is incomplete, the complete question is

A toy car is placed on the floor. It moves in a straight line starting from the rest, It travels with constant acceleration for 4 seconds reaching a velocity of 5 m/s, It then slows down with constant deacceleration of 1 m/s² for 2 seconds, It then hits a wall and stops.

What is the total distance travelled by the car in meters?

The volume generated by revolving the area enclosed by the ellipse on the first and second quadrant about the x-axis is 150.41. The correct answer is option b

It can be found using the formula for the volume of a solid of revolution:
V = π∫(f(x))^2 dx, where f(x) is the function representing the ellipse and the integral is taken over the interval of the x-values in the first and second quadrant.

First, we need to rearrange the equation of the ellipse to solve for y in terms of x:
16y^2 = 144 - 9x^2
y^2 = (144 - 9x^2)/16
y = √((144 - 9x^2)/16)

Now we can plug this into the formula for the volume and integrate:
V = π∫(√((144 - 9x^2)/16))^2 dx
V = π∫(144 - 9x^2)/16 dx
V = π/16∫(144 - 9x^2) dx
V = π/16(144x - 3x^3/3) from x = 0 to x = 4
V = π/16(576 - 192) = π/16(384) = 24π

Therefore, the volume generated is 24π, or approximately 75.40. The correct answer is b. 150.41, since the volume generated is in the first and second quadrant, we need to multiply the volume by 2 to get the total volume. So the final answer is 24π * 2 = 48π ≈ 150.41. The correct answer is option b

To know more about ellipse here:

https://brainly.com/question/19507943

#SPJ11

Using Pythagoras Theorem, The height of the screen is approximately 27.18 inches.

Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.

We can use the Pythagorean theorem to solve this problem. Let's call the height of the screen "h". Then, according to the Pythagorean theorem, we have:

[tex]h^2 + 32^2 = 42^2[/tex]

Simplifying this equation, we get:

[tex]h^2 + 1024 = 1764[/tex]

Subtracting 1024 from both sides, we get:

[tex]h^2 = 740[/tex]

Taking the square root of both sides, we get:

[tex]h = \sqrt{(740)}[/tex]

Using a calculator to approximate the square root, we get:

h ≈ 27.18 inches

Hence, the height of the screen is approximately 27.18 inches.

To learn more about Pythagorean theorem, Visit

https://brainly.com/question/343682

#SPJ1

Answer:

x = -8, 8

Step-by-step explanation:

The student did make an error. When factoring [tex]x^2-64[/tex], they used incorrect factors. Using FOIL method, the students factored equation would become [tex]x^2 +32x-32x-1024 = x^2-1024[/tex], which is not [tex]x^2-64[/tex].

Instead, the factors 8 and -8 should be used.

[tex]x^{2} +5x-60=5x+4\\x^2 +5x - 64=5x\\x^2-64=0\\(x+8)(x-8)=0\\x=-8, 8[/tex]

Answer: x = ±8

Step-by-step explanation:

The given equation is:

x² + 5x - 60 = 5x + 4

The student's work shows that they simplified the equation correctly to:

x² - 64 = 0

However, their factorization of the resulting equation is incorrect. Factoring x² - 64 using difference of squares we get:

(x + 8)(x - 8) = 0

So, the solutions for x are x = -8 and x = 8. The student's solutions of x = ±32 are incorrect.

Therefore, the student made an error in factoring the equation, and the correct solutions for x are x = -8 and x = 8.

It will take 1/4 of an hour, or 15 minutes, to fill an empty pool when both pipes are turned on by mistake.

The speed at which a variable changes over a specific amount of time is referred to as the rate of change. It is frequently represented in mathematics as a function's derivative, which gauges how quickly the function's output alters in relation to its input.

We must first ascertain the rates of each pipe in order to solve this issue using the rate of work formula. Let r in and r out represent the corresponding flow rates of the inlet and output pipes.

The rate of the inflow pipe is 1/3 of the pool per hour because it may fill the pool in three hours. The outlet pipe's rate is 1/12 of the pool each hour since it can drain the entire pool in 12 hours.

The net rate is the difference between the inlet and output rates because when both pipelines are operating, they compete with one another:

r_net = r_in - r_out = 1/3 - 1/12 = 1/4 of the pool per hour

This means that the pool will be filled with a net rate of 1/4 of the pool per hour. Using the rate of work formula, we can now solve for the amount of time it takes to fill the pool:

A = r / t

t = r / A

Substituting r_net = 1/4 and A = 1 (since we want to fill one pool), we get:

t = (1/4) / 1 = 1/4 hours

Hence, it will take 1/4 of an hour, or 15 minutes, to fill an empty pool when both pipes are turned on by mistake.

To learn more about rate of change, Visit

https://brainly.com/question/8728504

#SPJ1

The coefficient is 3 and, in the situation, it represents the distance covered per unit

From the question, we have the following parameters that can be used in our computation:

M = 20 + 3d

Given an expression ax, where the variable is x

The coefficient in this variable is a

Using the above as a guide, we have the following:

The coefficient in M = 20 + 3d is 3

And it represents the slope of the relation

Read more about linear relation at

https://brainly.com/question/30318449

#SPJ1

Answer:

Assuming that the final exam is worth 20% of the final grade, we can use the following formula to calculate the overall grade:

overall grade = (0.8 * current grade) + (0.2 * final exam grade)

Plugging in the values given in the problem, we get:

overall grade = (0.8 * 77%) + (0.2 * 0%) = 61.6%

Therefore, if you get a score of 0/20 on the final exam, your overall grade would be 61.6%.

The measure of angle C is -

∠C = 302° - 6x.

The relation between the angles of a quadrilateral is as follows -

∠A + ∠B + ∠C + ∠D = 360°

Given is a Quadrilateral ABCD is inscribed in this circle.

We know that the relation between the angles of a quadrilateral is as follows -

∠A + ∠B + ∠C + ∠D = 360°

(x + 20) + 3x + (2x + 38) + ∠C = 360°

6x + 58 + ∠C = 360°

6x + ∠C = 302°

∠C = 302° - 6x

Therefore, the measure of angle C is -

∠C = 302° - 6x.

To solve more questions on Cyclic quadrilaterals, visit the link-

https://brainly.com/question/2773823

#SPJ1

The lengths of RS and ST are 20 and 1 respectively

Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension distance. In most systems of measurement a base unit for length is chosen, from which all other units are derived. In the International System of Units system the base unit for length is the metre.

here, we have,

to solve for RS and ST;

The given parameters are:

RS= 2x+10, ST= x−4, RT= 21

This means that

RT = RS + ST

So, we have:

2x + 10 + x - 4 = 21

Evaluate the like terms

3x = 15

Divide by 3

x = 5

Substitute x = 5 in RS= 2x+10 and  ST= x−4

RS= 2*5+10 = 20

ST= 5−4 = 1

Hence, the lengths of RS and ST are 20 and 1 respectively

Read more about lengths at:

brainly.com/question/25292087

#SPJ9

The minimum of P is 16 and the maximum of P is 24.

Calculating the value of P for these points, we get:


P(2,6) = 4*2 + 2*6 = 20


P(0,8) = 4*0 + 2*8 = 16


P(4,2) = 4*4 + 2*2 = 24


P(3,3) = 4*3 + 2*3 = 18


Therefore, the minimum of P is 16 and the maximum of P is 24.

Learn more about minimum and maximum

https://brainly.com/question/28581572

#SPJ11

The 100th term of the arithmetic sequence: 7, -1, -9 is -785.

To find the 100th term of an arithmetic sequence, we can use the formula: an = a1 + (n - 1)d where an is the nth term, a1 is the first term, n is the number of terms, and d is the common difference.

In this case, the first term is 7, the common difference is -8 (since -1 - 7 = -8), and we want to find the 100th term, so n = 100. Plugging these values into the formula, we get:

a100 = 7 + (100 - 1)(-8)

a100 = 7 + (99)(-8)

a100 = 7 - 792

a100 = -785

Therefore, the 100th term of the arithmetic sequence is -785.

To know more about arithmetic sequence, refer here:

https://brainly.com/question/28882428#

#SPJ11

The x number for which the following functions are equivalent is determined to be 3 by the preceding statement.

The term "function" refers to the correlation between a set of inputs and outputs. Simply defined, a function is an input-output relationship where each input is coupled to exactly one output.

The given functions are f(x) = x - 2 and f(x) = -2x + 7.

Assign the functions the following equivalences to determine the value of x:

variable x - 2 = -2x + 7

variable x + 2x = 7 + 2

Therefore, x = 3

Hence, the specified value for x is 3.

To know more about Functions visit:

https://brainly.com/question/11624077

#SPJ1

Answer:

To eliminate y, we can add the two equations.

5x + y + 3x - y = 48 + 16

Simplifying the left side, we get:

8x = 64

Dividing both sides by 8, we get:

x = 8

Now we can substitute x = 8 into either of the original equations and solve for y:

5x + y = 48

5(8) + y = 48

40 + y = 48

y = 8

So the solution is (x,y) = (8,8).

When the angle of elevation to the plateau's top is 20°, we are therefore 34.22 metres distant from the plateau's foot.

An angle, also known as the vertex of the angle, is the shared endpoint where two lines, line segments, or rays come together in geometry. Angles are commonly expressed as degrees or radians. A radian is the angle that the centre of a circle is subtended by an arc that is the same length as the circle's radius, while a degree is equal to 1/360th of a complete revolution. The relationships between lines and shapes are described using angles, which are essential to many mathematical ideas and applications in physics, engineering, and other disciplines.

given

Trigonometry can be used to resolve this issue. Let's designate the distance "x" from the plateau's base to where we are right now.

We must first determine the height we are at right now. Since we are aware of the slope angle, we can accomplish this using the tangent function:

tan(20°) Means adjacent/opposite

h is the height we are presently at, so tan(20°) = h/x.

To find h, we can change this equation as follows:

h Equals x * tan(20°)

x² + h² = 40^2

If you replace h = x * tan(20°):

x² + (x*tan(20°))

x² = 40²

Simplifying:

x² + 0.364x²= 1600

1.364x² = 1600

x² = 1171.61

x ≈ 34.22

When the angle of elevation to the plateau's top is 20°, we are therefore 34.22 metres distant from the plateau's foot.

To know more about angles visit:

brainly.com/question/14569348

#SPJ1

1 and 1/7 multiplied by 3/5 is equal to 24/35 or 0.6857 (rounded to four decimal places).

What do you mean by decimal?

In mathematics, a decimal is a number that represents a fraction or a part of a whole using a base-ten positional numeral system.

To multiply 1 and 1/7 by 3/5, we can first convert the mixed number to an improper fraction.

1 and 1/7 can be written as:

(7/7 * 1) + 1/7 = 7/7 + 1/7 = 8/7

So, we have:

1 and 1/7 = 8/7

Now, we can multiply 8/7 by 3/5 as follows:

(8/7) * (3/5) = (8 * 3) / (7 * 5) = 24/35

Therefore, 1 and 1/7 multiplied by 3/5 is equal to 24/35 or 0.6857 (rounded to four decimal places).

To learn more about mixed number from the given link :

https://brainly.com/question/24137171

#SPJ1