1/3 divided by what equals 1
Help please

Answer:

The answer is 6y - 5x = 18

Step-by-step explanation:

Answer:

-5 (11t - 30)

Step-by-step explanation:

Rewrite 150 as 5 * 30

Rewrite 55 as 5 * 11

-5 * 11t + 5 * 30

Finally, factor out the common term, which in this case is -5.

The finalized answer to this problem is -5 (11t - 30).

I hope this helps you out with your question.

The weighted average of a data set is 36.

Here,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

We have to find the weighted average of a data set.

What is Weighted Average?

Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.

Now,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

The weighted average is given by the formula;

\(x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}\)

Hence,

The weighted average of a data set;

x = 20 x 3 + 40 x 5 + 50 x 2 / 3+5+2

x = 360/10 = 36

Hence, The weighted average of a data set is 36.

Learn more about the weighted average visit:

https://brainly.com/question/18554478

#SPJ4

Answer:

61.13

Step-by-step explanation:

\(2\pi(4) = 8\pi = 25.13\)

\(25.13 + 10 + 10 + 8 + 8 = 61.13\)

Answer:

The absolute value vertex is  

( − 8 , − 3 ) .

Step-by-step explanation:

The percentage statement 28 is 35% of 80 is written in the form

a/b = p/100 as 28/80 = 35/100.

For the given question.

The statement defining the percentage is ;

28 is 35% of 80.

This can be written as;

35% of 80 = 28

Solve percentage.

35×80/100 = 28

35/100 = 28/80

Or,

28/80 = 35/100

This is the form

a/b = p/100

a = 28

b = 80

p = 35

Thus, the percentage statement 28 is 35% of 80 is written in the form

a/b = p/100 as 28/80 = 35/100.

To know more about the percentages, here

https://brainly.com/question/24304697

#SPJ13

\(\:\: \:\: \:\star\) We are asked to find out the distance between (1,5) and (-6,-2).We know the formula to find the distance between two points is given by -

\( \:\: \star \underline{ \sf{ Distance = \sqrt{ (y_2 -y_1)^2 + (x_2-x_1)^2}}}\\\)

As per question, points are -

Now that we are given the points, so we can put them into the formula and solve for distance between them.Which is -

\(\:\: \:\: \:\star \underline{ \sf{ Distance = \sqrt{ (y_2 -y_1)^2 + (x_2-x_1)^2}}}\\\)

\( \longrightarrow \sf Distance_{(AB)} = \sqrt{ (-2-5)^2 + (-6-1)^2 }\\\)

\(\:\:\:\:\:\longrightarrow \sf Distance_{(AB)}= \sqrt{ (-7)^2 + (-7)^2 }\\\)

\(\:\:\:\:\longrightarrow \sf Distance_{(AB)} = \sqrt{ 49+49 }\\\)

\(\: \:\:\:\: \:\longrightarrow \sf Distance _{(AB)}= \sqrt{ 98}\\\)

\(\: \:\:\: \:\longrightarrow \sf Distance_{(AB)} = \sqrt{49 \times 2}\\\)

\(\:\: \:\: \:\:\longrightarrow \sf\underline{ Distance_{(AB)} = 7√2}\\\)

\(\: \:\:\: \:\:\longrightarrow \sf Distance_{(AB) }= 9.89949......\\\)

\(\: \:\:\: \:\:\longrightarrow \sf \underline{Distance_{(AB) }= 9.9\:(Approx)}\\\)

Therefore, the distance between (1,5) and (-6,-2) is 7√2 or, 9.9 ( Approx).

Anton needs 3.75 lbs of sugar and 1.25 lbs of water to make 5 lbs of 75% sugar syrup.

To make a 75% sugar syrup, Anton will need 75% sugar and 25% water by weight. To find out how much sugar and how much water he needs, we can use the following formulas:

Sugar weight = 5lbs x 75% = 3.75lbs

Water weight = 5lbs x 25% = 1.25lbs

So Anton needs 3.75 lbs of sugar and 1.25 lbs of water to make 5 lbs of 75% sugar syrup.

It's important to note that syrup with 75% sugar content is heavy syrup, it is mostly used for preservation and not as a sweetener.

To learn more about the weight, visit:

brainly.com/question/23312072

#SPJ4

Answer:

105 ways

Step-by-step explanation:

Because the order of selection does not matter, we know that we will be using a combination instead of a permutation.

₁₅C₂ = 15! / (2! * 13!)

= 15 * 14 * ... * 2 * 1 / 2 * 1 * 13 * 12 * ... * 2 * 1

= 15 * 14 / 2 * 1 (The 13! cancels out)

= 105

Answer:

105 ways, because the order of selection does not matter, we know that we will be using a combination instead of a permutation.

A 24U rack is approximately 44.5 inches (113.03 cm) tall.

What is Expression in math ?

An expression is made up of one or more integers or variables, as well as one or more operations.

The "U" unit in a rack height refers to unit of measurement for the height of equipment in a standard 19-inch server rack.

1U is equal to 1.75 inches (4.45 cm)

so, 24U is equal to 24 * 1.75 inches = 42 inches (106.68 cm).

However, in practice, the height of a 24U rack is typically slightly taller to account for the height of the mounting brackets and other hardware.

Hence, A 24U rack is approximately 44.5 inches (113.03 cm) tall.

To know more about Expressions visit,

https://brainly.com/question/1859113

#SPJ4

The function is 4y - 7x = 0.

We need to determine whether y varies directly with x. If so, we need to identify the constant of variation.

What is direct variation?

Direct variation is a relationship between two variables in which one variable is a constant multiple of the other variable. This constant multiple is called the constant of variation.

Let's put the given function in the form of y = kx + b, where k is the constant of variation and b is the y-intercept.

4y - 7x = 0

=> 4y = 7x

=> y = (7/4)x

This function is in the form of y = kx, where k = 7/4.

Therefore, we can say that y varies directly with x, and the constant of variation is 7/4.

To know more about function refer here :

https://brainly.com/question/30721594#

#SPJ11

Answer:

Correct option: c) infinitely many solutions

Step-by-step explanation:

We have an equation with two variables, so as we have a system with less equations (just one) than variables (two), we have an infinite number of solutions.

To find some solutions, we can choose values for x and then just calculate the value of y:

x = 0:

-11y = 10 -> y = -10/11

x = 1:

3 - 11y = 10 -> y = -7/11

x = 2:

6 - 11y = 10 -> y = -4/11

And so on.

So the correct option is c): infinitely many solutions

A linear equation is something of the form:

y = a*x + b

Where the solutions are the pairs (x, y) such that the equality is true.

Here we will find that the correct option is c: infinitely many solutions.

In this case, we have the equation:

3x - 11y = 10

We can rewrite this as:

3x = 10 + 11*y

x = 10/3 + (11/3)*y

Ok, now we have one variable on each side, now let's see the number of solutions.

As you can see, we have one equation with two variables.

So if for example we take y = 0, we get:

x = 10/3 + (11/3)*0 = 10/3

So one solution is (10/3, 0)

If we take y = 1, we get:

x = 10/3 + (11/3)*1 = 22/3

Then another solution is (22/3, 1)

And as you can see, y can take any real value. So we have infinite values of y.

This also means that we have infinite values of x (as we have one value of x for each value of y). Then we will have infinite solutions for the linear equation.

The correct option is c.

If you want to learn more, you can read:

https://brainly.com/question/16843611

The value of the infinite series as n tends to 0 is: 0

Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.

From the infinite series, we want to find the value of the series as n tends to 0.

We are given the series as:

x/2ˣ

At x = 0, we have:

0/2⁰ = 0/1 = 0

Read more about infinite series at: https://brainly.com/question/30221799

#SPJ1

Answer:

6

Step-by-step explanation:

Based on your question, the answer is 6.

Answer:

The answer is given below

Step-by-step explanation:

\( \frac{15}{1} \times \frac{20}{7} \)

Multiple denominator with denominator and nenominator with nenominator

We ger

\( \frac{300}{7} \)

This is the answer

In decimal by dividing 300 by 7 we get

42.8571

And in mixed form we get

\(42 \frac{6}{7} \)

The explanation is given in the picture

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

By convention, we use a bar graph when the groups on the x-axis (horizontal axis) are represented on a categorical or discrete scale; we use a line graph when the groups on the x-axis are represented on a continuous or numerical scale.

A bar graph is commonly used to display categorical or discrete data, where the groups or categories on the x-axis are distinct and separate from each other.

For example, the x-axis could represent different types of fruits or months of the year. Each category is represented by a separate bar, and the height of each bar corresponds to the frequency, count, or value associated with that category.

On the other hand, a line graph is typically used to represent data on a continuous or numerical scale. The x-axis represents a continuous range of values, such as time, temperature, or distance.

Each data point is plotted as a dot or marker on the graph, and the points are connected by lines. This type of graph is useful for showing trends, patterns, or changes over time or across a continuous range.

The choice of using a bar graph or a line graph depends on the nature of the data and the purpose of the visualization. Categorical data is best represented using a bar graph to emphasize the distinct categories, while numerical or continuous data is better suited for a line graph to visualize trends and relationships.

Learn more about graph at https://brainly.com/question/30296297

#SPJ11

Answer:

8.25

Step-by-step explanation:

45*15/100 is 6.75

15-6.75= 8.25

Find 45% of 15, and then subtract that amount

Answer:

$8.25

Step-by-step explanation:

step 1: convert 45% to a decimal

45% = 0.45

step two: multiply 0.45 by the original price

0.45*15 = 6.75

since 6.75 is only 45% of 15 you have to subtract 6.75 from the original price

15 - 6.75 = 8.25

8.25 is your final price

This is read as the set of all possible combinations of Heads and Tails, combined with the set of all odd numbers from 1 to 5.

A.

Sample Space:

{Heads, Tails} x {1, 2, 3, 4, 5}

B. Favorable Outcomes: {Heads, 1}, {Heads, 3}, {Tails, 1}, {Tails, 3}, {Tails, 5}

A. The sample space for this event can be represented as a set of all possible outcomes, which can be written as {Heads, Tails} x {1, 2, 3, 4, 5}. This is read as the set of all possible combinations of Heads and Tails, combined with the set of all numbers from 1 to 5.

B. The favorable outcomes for the event of choosing an odd number are {Heads, 1}, {Heads, 3}, {Tails, 1}, {Tails, 3}, {Tails, 5}. This is read as the set of all possible combinations of Heads and Tails, combined with the set of all odd numbers from 1 to 5.

Learn more about combination here

https://brainly.com/question/28720645

#SPJ4

Answer:

126 students this year

Step-by-step explanation:

All you got to do is multiply 42 by 3

Answer:

Assuming they bought the same shoes, $82.5

Step-by-step explanation:

80% of Original Shoe price = $82

Divide by 0.8 to find the original price.

82 / 0.8 = 102.5

102.5-20=82.5

Answer: $720.10

Step-by-step explanation:

I got this by adding the prices all together

L = k/f, where k is the variational constant, is the formula for the inverse variation.

A mathematical relationship between two variables in which they vary in opposing directions is referred to as an inverse proportion, also known as an inverse relationship. When one variable increases while the other decreases, this is known as having inverse proportions.

Using the variables length of violin 'l' and frequency of vibration 'f'

If the length of violin 'l' is inversely proportional to the frequency of vibration 'f', this is expressed as:

l α 1/f

l = k/f

Hence the formula for the inverse variation is l = k/f where k is the constant of variation.

Learn more on inverse variation here: https://brainly.com/question/13998680

#SPJ1

Answer:

217.70 cubic units

Step-by-step explanation:

           h= 5 units & r = 4 units

          \(\sf \boxed{Volume \ of \ cone = \dfrac{1}{3} \pi r^2h}\)

                                       \(\sf = \dfrac{1}{3}*3.14*4*4*5\\\\ = 83.73 \ cubic units\)

            r = 4 units

                   \(\sf \boxed{Volume \ of \ hemisphere = \dfrac{2}{3} \pi r^3}\)

                                                          \(\sf = \dfrac{2}{3}*3.14*4*4*4\\\\= 133.97 \ cubicunits\)

Volume of composite solid = 83.73 + 133.97

                                               = 217.70 cubic units

In this question we are provided with the height and radius. We are asked to calculate the volume of a composite solid

First we will find the volume of a cone

We know,

\( \orange{\star \: \small\boxed{ \sf{ Volume_{(cone)} = \dfrac{1}{3}πr²h}}}\)

Where,

Substituting the values we get

\( \small\bf Volume_{(cone)} = \dfrac{1}{3} \times 3.14×4 × 4×5\)

\( \rightarrow \small\rm{ Volume_{(cone)} = \dfrac{1}{3}×251.2}\)

\( \small\sf{ Volume_{(cone)} = 83.73 \:cubic \: units }\)

Now we will calculate the volume of a hemisphere

We know,

\( \red{\star \: \small \boxed{\sf{ Volume_{(hemisphere)} = \dfrac{2}{3}πr³}}}\)

Substituting the values we get

\( \small\bf{ Volume_{(hemisphere)} = \dfrac{2}{3} \times 3.14 × 4 × 4 × 4}\)

\( \rightarrow\small\rm{ Volume_{(hemisphere)} = \dfrac{2}{3} \times 200.96}\)

\( \rightarrow\small\rm{Volume_{(hemisphere)} = 2 \times 66.98} \)

\( \small\sf{ Volume_{(hemisphere)} =133.97}\)

Now we will calculate the volume

Volume = 83.73 + 133.97 = 217.70 cubic units

The availability of the web hosting service over the past 100 days is 99.5%.

The term availability means the degree to which a system like web hosting is in specified operable and committable state at the start of a mission.

We will find the downtime first.

Given that:

Hosting provider has been up 99% of the time, the downtime is:

= 100 days x (1 - 0.99)

= 1 day

The total time that the service should have been available is:

= 100 days x 24 hours/day

= 2400 hours

The availability as the ratio of uptime to total time is

= (2400 - 12) / 2400 x 100%

= 0.995 x 100%

= 99.5%.

Read more about availability

brainly.com/question/26768869

#SPJ1

122° and angle 1 are alternate interior angles and hence they are equal.

m1 = 122°

122° + angle 2 = 180° [sum of co interior angles is 180°]

angle 2 = 180° - 122°

m2 = 58°

To expand the function f(z) as a Laurent series around z=0, we first need to identify the singularities of the function. Since f(z) has a denominator of z^3, we know that there is a pole of order 3 at z=0.

To obtain the Laurent series, we can write f(z) as a sum of terms of the form c_n(z-0)^n, where the coefficients c_n can be found using the formula:

c_n = \frac{1}{2\pi i} \int_C \frac{f(z)}{(z-0)^{n+1}} dz

where C is a closed contour around the origin.

For n < -3, we have:

c_n = \frac{1}{2\pi i} \int_C \frac{e^{z^2}}{z^{n+3}} dz

To evaluate this integral, we can use the Cauchy integral formula, which states that for a function g(z) that is analytic inside and on a simple closed contour C, we have:

g^{(n)}(0) = \frac{n!}{2\pi i} \int_C \frac{g(z)}{z^{n+1}} dz

Using this formula, we can find the coefficients c_n as:

c_n = \frac{e^{z^2}}{n!} \left( \frac{d}{dz} \right)^n \left[ \frac{1}{z^3} \right]_{z=0}

The first few coefficients are:

c_{-3} = \frac{e^{z^2}}{6z^3}
c_{-2} = \frac{e^{z^2}}{2z^2}
c_{-1} = \frac{e^{z^2}}{z}
c_0 = e^{z^2}

For n >= 1, we have:

c_n = \frac{1}{2\pi i} \int_C \frac{e^{z^2}}{z^{n+3}} dz

We can evaluate this integral by expanding e^{z^2} in a power series and integrating each term separately. The result is:

c_n = \sum_{k=0}^{\infty} \frac{1}{k!} \left( \frac{d}{dz} \right)^{n-3} \left[ \frac{z^{2k}}{z^3} \right]_{z=0}

The first few coefficients are:

c_1 = 0
c_2 = 0
c_3 = -\frac{2}{3}
c_4 = 0
c_5 = \frac{8}{15}
c_6 = 0
c_7 = -\frac{64}{315}
c_8 = 0
...

Putting it all together, the Laurent series for f(z) around z=0 is:

f(z) = \frac{e^{z^2}}{z^3} - \frac{e^{z^2}}{2z^2} - \frac{e^{z^2}}{6z} - \frac{2e^{z^2}}{3}z + \frac{8e^{z^2}}{15}z^5 - \frac{64e^{z^2}}{315}z^7 + ...

Note that the Laurent series has both negative and positive powers of z, reflecting the presence of the pole at z=0.

Visit here to learn more about Laurent series brainly.com/question/31274086

#SPJ11

Answer:

B=100

Step-by-step explanation:

The given circle is

Consider the triangle AOB, Using the triangle sum property, we get

AOB+AOB+BOA=180

Substitute ABO=55 and BAO=45 we get

AOB+55+45=180

AOB+100=180

AOB+100-100=180-100

AOB=80

Here AOB and AOC are supplementary angles

The sum of the supplementary angles is 180 degrees.

AOB+AOC=180

Substitute AOB=80 we get

80+AOC=180

80+ AOC-80=180-80

AOC=100

Now consider the Central angle AOC  and intercepted arc AC.

mAOC=mAC

Substitute m AOC=100 and mAC=b we get

100=b

Hence the value of b is 100 degrees.

Answer:

\(5 {x}^{2} - 6x = 0\)

• Factorise out x

\(x(5x - 6) = 0\)

• Either x or 5x - 6 is 0

\(x = 0\)

or:

\(5x - 6 = 0 \\ 5x = 6 \\ \\ x = \frac{6}{5} \)

Therefore:

Answer: x = 0 or 6/5