Find the least common denominator of these fractions.



38 518

The correct equations to represent Ted's total September costs are: (3600+ 1.50) x 12.000 1.50(3600+) 12,000.

Cost is the total expenditure or loss incurred in the production, acquisition, or use of a product or service. It can be calculated as the sum of fixed costs (such as rent and labor costs) plus variable costs (such as materials and energy). Cost can be expressed both in monetary terms (such as dollars or euros) or in terms of resources (such as time or effort). In business, cost is a crucial factor for determining profitability and should be taken into consideration when making decisions about production, sales, and pricing strategies.
The first equation calculates the cost of the fixed monthly costs plus the cost of the 16 ounce bags of coffee multiplied by the total number of bags sold. The second equation calculates the cost of the 16 ounce bags of coffee multiplied by the fixed monthly costs plus the total number of bags sold.

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Step-by-step explanation:

Step 1.) Plug in the numbers to each variable

(2(-25) -13) ÷ (-8.25)15

Step 2.) Solve in Parenthesis

(-50-13) ÷ -123.75

= -63÷-123.75

Step 3: Reduce/Solve

=28/55 (Fraction)

or

=0.51 (Decimal Rounded to nearest 10th)

For feet we will divide the given no. of inches by 12 and for inches we will multiply the given number of feet by 12.

Since 1 foot is equal to 12 inches, the given value (in feet) is converted to inches by multiplying by 12. To compare lengths given in different units or to perform arithmetic operations on them, it is crucial to learn how to convert feet to inches (ft to in).

We know that 1 feet = 12 inches.

And to find how many feet are in a given number of inches

We will divide the given no. of inches by 12.

And

To find how many inches are given in a number of feet

We will multiply the given number of feet by 12.

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The limit of f(x) as x approaches 3 does not exist, as the lateral limits are different.

The first step in calculating the limit of a function is calculating the numeric value of the function at the value of x which the function approaches.

On the graph of a function, the limit of f(x) as x approaches a value of a is defined considering it's lateral limits, that is:

If the lateral limits are different, then the limit does not exist.

To the left of x = 3, the line ends at point (3,1), hence the lateral limit to the left of x = 3 is given as follows:

1.

To the right of x = 3, the line begins at point (3,3), hence the lateral limit to the right of x = 3 is given as follows:

3.

As the lateral limits as x approaches 3 are different, the limit of f(x) as x approaches x does not exist.

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A total of 14 prisms can be accommodated and their total volume would be 504 in³.

Step-by-step explanation:

First, we have to figure out the angle at the vertex.  For that, we need the Law of cosines. c²=a²+b²-2ab*cos(c)

4²=9²+9²-2(9)(9)cos(c)

16=81+81-162cos(c)

16-81-81=-162cos(c)

-142=-162cos(c)

-142/-162=cos(c)

.9=cos(c)

By using the inverse, we get:

cos^-1(.9)=c

25.8=c

Now that we know c=25.8, we can figure out how many cheese wedges there would be in the circle.

36÷25.8=14

Now we figure out volume.

1/2(9)(4)(2)=36 in³

Therefore, A total of 14 prisms can be accommodated and the total volume would be 14x36=504 in³.

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The right answer is: Z requires that you know the population standard deviation, which can be erroneous.

The standard deviation calculates how much the data vary from the mean value. The mean of the following two numbers, for instance, is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. But the second is obviously more dispersed. It expresses the deviation of each observed value from the mean.

given

Both distributions must meet a number of requirements in order to be used. The prerequisites that must be met in order to execute a hypothesis test for employing a z-distribution are: The population has a normal distribution. We are aware of the population standard deviation.

The scope of the sample is broad.

The prerequisites that must be met in order to conduct a hypothesis test for employing a t-distribution are:

The population has a normal distribution. The chosen sample was chosen at random.

Use the t-distribution to conduct the test for the population mean in cases where the population standard deviation is unknown and the sample standard deviation must be computed.

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Kasey is trying to run 60 miles by the end of the month.

Let us assume that Kasey tries to run 't' miles by the end of the month.

Kasey is 60% close to reaching her goal.

This means, she has already completed 40% of her goal.

Foven that she has already run 24 miles.

This means 40 percent of total distance is 24 miles.

i.e., 40 percent of 't' miles = 24 miles

We calculate 40 percent of t.

(40/100) × t = 24

(2/5) × t = 24

2 × t = 24 × 5

2 × t = 120

t = 120/2

t = 60 miles

i.e., she tries to run a 60 miles by the end of the month.

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The eight term of the geometric sequence 125/9, 25/3,5,3,.... is 243/625.

These steps to answer:

Question above is a geometric sequence consisting of 4 terms to find the 8th term, then we can use the geometric sequence formula below

Tn= a. r^n-1

is known

a= 125/9

r=T4/T2

r=3/5

then to find T4

Tn= a. r^n-1

T8=125/9. (3/5^8-1)

T8=125/9. (3/5)^7)

T8=125/9. (2187/78125)

T8=243/625

A geometric sequence is a sequence that satisfies the quotient of a term with the preceding terms which are of course consecutive. This thing has a constant value. Not only that, geometric sequences are also known as 'measurable sequences' which are still closely related to arithmetic sequences and series.

Examples of geometric sequences are a, b, and c. Then c/b = b/a = constant, this is where the quotient of adjacent terms will be obtained and then it is said to be the ratio of the geometric sequence which is given the symbol "r".

Another example, which is much easier to understand, is for example, if you have a sequence and a series: 2, 4, 8, 16, 32, ….. etc., then from the sequence and series it can be seen between the first and second terms and so on, have the same multiplier.

So, to find the nth term, you can easily find the ratio first. By knowing 'r', then you will easily find Tn.

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Answer:

24

Step-by-step explanation:

There are 4 sides to a box. Meaning you will have to divide 96 by 4. Giving you 24. Since perimeter means to add, add 24 4 times and you will be given the result of 96.

Answer:

Step-by-step explanation:

The degree of a polynomial is the highest power of the variable in the polynomial. In this case, the polynomial is 4w - 1. The highest power of the variable w is 1, so the degree of the polynomial is 1.Therefore, the correct answer is A) 1

The particle's total d2 distance for the course of the time period indicated above, in accordance with the supplied assertion, was -3/2 m.

An example of a utility rule is one that generates a single output from a single input. The picture was obtained from Alex Federspiel. The equation y=x2 serves as an example of this. There is only one output for y for every input for x. We may assert that y appears to be a time variable given that x remain the source value. A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

dx(t)/dt = 5t-8

[tex]\int_0^{x(t)} \mathrm{dx}(t)=\int_0^3 5 t-8 \mathrm{~d} t[/tex]

[tex]x(t)=\left.\left[\frac{5}{2} t^2-8 t\right]\right|_0 ^3[/tex]

f(0) = 0

[tex]f(3)=\frac{5}{2} * 3^2-8 * 3=-\frac{3}{2} m[/tex]

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The complete question is-

The velocity function v(t) (in meters per second) is given for a particle moving along a line.

V(t)= 5t-8, 0 <equal to 't' <equal to 3

Find the Total distance d2 traveled by the particle during the time interval given above?

I need help solving this problem, i know how to solve it but i keep getting the wrong answer. My answer is 457/10.. how do you solve this problem

Answer:

12

Step-by-step explanation:

1) FInd the sides of small triangle. Since it has 2 congruent angles it also has to congruent sides opposite those angles. So the sides adjacent (connected to) the right angle are both 6.

2) Find the hypotenuse (side opposite the right angle) in the small triangle

a^2 +b^2 = c^2

6^2 +6^2 = c^2

36+36 = c^2

72 = c^2

c = [tex]\sqrt{72}[/tex]

In simplified radical form  [tex]\sqrt{72\\[/tex] = 6[tex]\sqrt{2}[/tex]

3) Now find the sides of big triangle. It has 2 congruent angles therefore it has two congruent side opposite those angles. We know that one of the sides is 6[tex]\sqrt{2}[/tex] because it is also the hypotenuse of the small triangle. The other side adjacent to the right angle is also 6[tex]\sqrt{2}[/tex].

4) Now find x which is the hypotenuse of the big triangle.

[tex](6\sqrt{2} )^{2}[/tex]+                    [tex](6\sqrt{2} )^{2}[/tex]= [tex]c^{2}[/tex]

(36*2)+(36*2) = [tex]c^{2}[/tex]

144 = [tex]c^{2}[/tex]

c = 12

so x = 12

An equation that Elena can use to find the height 'h' is h = 24/b.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the area of a triangle is (1/2)×base×height.

Given, Elena is designing a logo in the shape of a triangle having an area of 12 square inches.

Therefore,

(1/2)×base×height = 12.

b×h = 12×2.

b×h = 24.

So, Elena can use the following equation to get the height 'h',

h = 24/b.

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Therefore , the solution of the given problem of ratio comes out to be

there are 32 fauvists .

Ratios show how often one number is contained in another in mathematics. For instance, the ratio of oranges to lemons in a fruit dish is 8 to 6 if there are 8 oranges and 6 lemons present. In a similar vein, the proportion of oranges to whole fruit is 8, while that of lemons to oranges is 6:8. A ratio is an ordered pair of numbers a and b that is expressed as a / b, with b not equal to zero. An equation equating two ratios is known as a ratio. The ratio can be expressed as 1:3, for instance, if there is 1 boy and 3 girls (for every boy she has 3 girls) 3/4 are girls, while 1/4 are boys.

Here,

Given :

the ratio is 13:4

and there were 104 impressionists

Let x be the fauvisits

=> 13:4 = 104/x

=>  13 /4  = 104/x

=> x = 104 *4 /13

= >x  = 32

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The dimensions of the rectangular field with a minimum cost are x = 50 m and y = 2 m.

Let x be the length of the north-south sides and y be the length of the east-west sides.

The area will be given by: A = xy

The cost will be given by: C = 20x + 5y

We have to find the dimensions (x and y) that minimize the cost C subject to the constraint that the area A is 100 m2.

Using the constraint, we have:

A = xy = 100

We can solve this equation for one of the variables in terms of the other, say x in terms of y.

We get: x = 100/y

Substituting this into the cost equation, we get:

C = 20(100/y) + 5y

Differentiating this equation with respect to y and equating it to 0, we get:

dC/dy = 20/y2 - 5 = 0

or, y2 = 4

or, y = ±2

We choose the positive value for y, so y = 2

Substituting this value of y in the equation for x, we get:

x = 100/2 = 50

Therefore, the dimensions of the rectangular field with a minimum cost are x = 50 m and y = 2 m.

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The fraction of the students that played the trumpet is 1/6

The school band has several students

1/4 play a brass instrument

2/3 of those students play the trumpet

Therefore the fraction of students that paly the trumpet can be calculated as follows

1/4 × 2/3

= 1/6

Hence the fraction of students that play the trumpet is 1/6

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[tex]8 = c - - 3 \\ 8 = c + 3 \\ c = 8 - 3 \\ c = 5[/tex]

Answer:

it is c=5

Step-by-step explanation:

here is how you get the answer

8=c−−3

8=c+3

c=8−3

c=5

On solving the provided question, we can say that Probability 8 drive to work[tex]= C(8,8) 0.77^8 * 0.23^0 = 0.77^8 = 0.123 = > 1 - 0.1236 = 0.8764[/tex]

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

x = number that drive to work alone

Likelihood that exactly eight people drive alone to work is equal to the probability that no more than seven people drive alone.

[tex]P(x < = 7) = 1 - P(x > 7) = 1- P(x = 8)[/tex]

That probability

Probability 8 drive to work

[tex]= C(8,8) 0.77^8 * 0.23^0 = 0.77^8 = 0.123\\=1 - 0.1236 = 0.8764[/tex]

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Voting rights for various segments in the United States was extended in stages from the time the United States gained independence, to the late 1900s.

In the late 1700s and early 1800s, voting rights were expanded to include more people, such as white men who owned property. The 15th Amendment was ratified in 1870, and prohibits the federal and state governments from denying a citizen the right to vote based on that citizen's "race, color, or previous condition of servitude."

The 19th Amendment was then ratified in 1920, and prohibits the federal and state governments from denying the right to vote to citizens of the United States on the basis of sex. Then the Voting Rights Act of 1965 was passed to overcome legal barriers at the state and local levels that denied African Americans the right to vote under the 15th Amendment. It was one of the most effective pieces of legislation passed during the Civil Rights Movement.

The 26th Amendment lowered the national voting age from 21 to 18 for all federal, state, and local elections.

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Full question is:

Extending Voting Rights; how have voting rights been extended in the United States since independence ?

Answer:

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

The expression 2x cos 6x can be rewritten using product to sum identities as 1/2(cos(8x) + cos(-4x))

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles

The product to sum identities we are going to need in this case is given by the formula:

cos(a) cos(b) = 1/2 (cos(a+b) + cos(a-b))

Since we have cos 2x cos 6x. Thus:

cos 2x cos 6x = 1/2 (cos(2x+6x) + cos(2x-6x))

                       = 1/2 (cos(8x) + cos(-4x))

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The probability that a randomly selected customer likes hot or iced coffee is 0.83.

What is probability?

To find the probability that a randomly selected customer likes hot or iced coffee, we need to add the probability of liking hot coffee and the probability of liking iced coffee, while subtracting the probability of liking both (since we don't want to count those customers twice).

So, P(H or I) = P(H) + P(I) - P(H and I)

We are given that P(H) = 0.75, P(I) = 0.30, and P(H and I) = 0.22 (from the venn diagram).

Therefore, P(H or I) = 0.75 + 0.30 - 0.22 = 0.83

So the probability that a randomly selected customer likes hot or iced coffee is 0.83.

Therefore, the answer is 0.83.

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Complete question is: according to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like iced coffee, and 22% like both hot and iced coffee. the venn diagram displays the coffee preferences of the customers. a venn diagram titled coffee preferences. one circle is labeled h, 0.53, the other circle is labeled i, 0.08, the shared area is labeled 0.22, and the outside area is labeled 0.17. a randomly selected customer is asked if they like hot or iced coffee. let h be the event that the customer likes hot coffee and let i be the event that the customer likes iced coffee. the probability that a randomly selected customer likes hot or iced coffee is 0.83.

Answer:

70% of the data points

Step-by-step explanation:

To calculate the percentage of data points that fall within one standard deviation of the mean, you can follow these steps:

Calculate the mean of the data set: (55+54+66+38+53+56+57+66+45+65)/10 = 55

Calculate the standard deviation of the data set: √ (((55-55) ²+(54-55) ²+(66-55) ²+(38-55) ²+(53-55) ²+(56-55) ²+(57-55) ²+(66-55) ²+(65-55)²)/9) = 7.8

Determine the range for data points within one standard deviation of the mean: Mean ± 1 * standard deviation = 55 ± 1 * 7.8 = [47.2, 62.8]

Count the number of data points that fall within this range: 55, 54, 53, 56, 57, 45, and 65 fall within this range.

Calculate the percentage of data points that fall within this range: (7/10) * 100 = 70%

Therefore, 70% of the data points in the given data set fall within one standard deviation of the mean.

Answer:

Step-by-step explanation:

3a-7=-4b+1

3a=-4b+1-7

simplify:

3a=-4b-6

divide by 3:

a=-4b-6/3

Answer:

Step-by-step explanation:

c

Answer: C

Step-by-step explanation:

The rate of change will be the same for all years. The rate of change is 7%. The . basic formula for this equation is: I(1+R)^T, where I = Initial amount, R = Rate of growth, and T = Time. So the R here is 0.07, or 7%. The growth RATE is constant, the growth AMOUNT will increase each year.

The required probability can thus be expressed as a common fraction  [tex]$\frac{3}{21}$[/tex]

The probability of two distinct members of the set[tex]$\{ 3, 7, 21, 27, 35, 42, 51 \}$[/tex] being multiplied and the product being a multiple of 63 can be expressed as a fraction,

The total number of possible outcomes when two numbers are randomly selected and multiplied is [tex]$\binom{7}{2} = \frac{7!}{2! 5!} = 21$[/tex].

The number of outcomes where the product is a multiple of 63 is [tex]$\binom{3}{2} = \frac{3!}{2! 1!} = 3$[/tex]

Therefore, the probability that the product is a multiple of 63 is  [tex]$\frac{3}{21}$[/tex]

The required probability can thus be expressed as a common fraction [tex]$\frac{3}{21}$[/tex].

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Answer:

5 cm per hour

if this helps

Step-by-step explanation:

The answer in the form of x,y is -7x + 10y  = 118.

A Cartesian plane (named after French mathematician Rene Descartes, who formalized its use in mathematics) is defined by two perpendicular number lines: the x-axis, which is horizontal, and the y-axis, which is vertical. Using these axes, we can describe any point in the plane using an ordered pair of numbers.

from given conditions, we get,

(-4, 9) and  10  left  7 down  puts her at  (  -4 - 10 , 9  - 7)  = ( -14, 2)

So,  the points  ( -4, 9)  and (-14,2)  are on the  line

Slope of this line  =   [ 2 - 9] / [ -14 - -4 ]  =  [ -7] / [ -10]  =  7/10

Equation of the line

y  = (7/10)(x - - 4)  + 9

y  = (7/10) ( x + 4)  + 9     multiply through by 10

10y = 7 (x + 4)  + 90

10y = 7x + 28  + 90

-7x + 10y  = 118

Therefore, the answer in the form of (x , y) is -7x + 10y  = 118

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Answer:

(0, 9)

Step-by-step explanation:

y = 9 is the same as (0, 9)