Solve the equation for w.

w divided by 4.4 minus 2.8 equals 11.5

62.92
38.28
3.25
1.97

Answers

Answer 1

Answer:

62.92

Step-by-step explanation:


Related Questions

The ratio of the numbers of bananas to the number of oranges is 2:3 furthermore there are 24 more oranges to bananas. Calculate the number of bananas Ms Rehka bought.

Answers

The ratio of the numbers of bananas to the number of oranges is 2:3, thus Ms Rehka bought 48 bananas.

What is a ratio?

A ratio is a fraction which shows the way of dividing two quantities.

How to calculate the number of bananas Ms Rehka bought?

Since the ratio of the numbers of bananas to the number of oranges is 2:3 furthermore there are 24 more oranges to bananas.

Let

x = number of bananas and y = number of ornages

Since the ratio of the numbers of bananas to the number of oranges is 2:3, we have that

x:y = 2:3

x/y = 2/3

Also, there are 24 more oranges to bananas. We have that

y = x +24

Substituting y into the ratio, we have

x/y = 2/3

x/(x + 24) = 2/3

Cross-multiplying, we have

3x = 2(x + 24)

Expanding the brackets, we have

3x = 2x + 48

3x - 2x = 48

x = 48

So, Ms Rehka bought 48 bananas.

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Determine which integers in the set S:{−4, 4, 6, 21} make the inequality 3(j − 5) > 3(7 − 2j) true.

S:{6, 21}
S:{4, 21}
S:{−4, 6}
S:{−4, 4}
PLS HURRY

Answers

Answer:

b

Step-by-step explanation:

The integers 6,21 from the set will make the inequality 3(j-5)>3(7-2j) true.

What is inequality?

Inequality is the unequal distribution of resources, opportunities, or rewards among individuals or groups in society. It can occur in many forms, such as unequal access to healthcare, education, employment, or other resources, or unequal treatment based on race, gender, ethnicity, and other factors. Inequality can also manifest as unequal income and wealth distribution, as well as unequal access to political power and decision-making. Inequality can be caused by a variety of factors, including structural factors and personal or individual-level factors, such as discrimination. Inequality can have a negative effect on both individuals and societies, leading to social and economic inequities that can be difficult to overcome.

The given inequality is 3(j-5)>3(7-2j). The given set is S:{−4, 4, 6, 21}.

First, we will simplify the given inequality.

3(j-5)>3(7-2j)

⇒j-5>7-2j

⇒3j>12

⇒j>4

It means that numbers greater than 4 will satisfy the given inequality.

Numbers greater than 4 in the given set are 6,21.

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Complete the given diagram by dragging expressions to each leg of the triangle. Then, correctly complete the equation Not all expressions will be used. Then correctly complete the equation to derive the distance, d.

Answers

What we have here in the picture is a graph of a segment. The goal is to find the segment's length, which we can do by using the distance formula:[tex]d^2=\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2[/tex].

What is graph?

A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Note that the distance between two points is equal to the length of the line segment that joins them.

So now we already have answers for two of the boxes.

The difference in the x-coordinates gives us the horizontal distance between the two points, while the difference in the y-coordinates gives us the vertical distance between the points.

So, the other two boxes should contain:

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Line q passes through the points (3,5) and (-2,4)

Answers

10) The second pair of coordinate on the line parallel to q and passes through the point (1, 0) is (-5, 0).

11) The second pair of coordinate on the line perpendicular to q and passes through the point (3, 5) is (2, 0).

What is a slope?

When the ratio is expressed as a quotient ("rise over run"), the same number is provided for every two distinct locations on the same line. There is a negative "rise" on a descending line.

Given,

Line q passes through (3, 5), (-2, 4)

(y-y₁)=m(x-x₁)

(y-5)=((4-5)/(-2-3))(x-3)

(y-5)=(-1/-5)(x-3)

-5y+25=-x+3

x-5y+22=0

10) Given point is (0,1)

Slopes are equal for parallel lines.

So, (y-1)/(x-0)=(-1/-5)

-5y+5= -x

x-5y+5=0Let y=0 then,

x= -5

Therefore, the second pair of coordinate on the line parallel to q and passes through the point (1, 0) is (-5, 0).

11) The equation of a line perpendicular to q is,

(y-y₁)=(-1/m)(x-x₁)

(y-5)=5(x-3)

y-5=5x-15

5x-y-10=0

Let y=0 then,

5x-10=0

x=2

Therefore, the second pair of coordinate on the line perpendicular to q and passes through the point (3, 5) is (2, 0).

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Digital citizens are those who use the internet regularly and effectively. What are three (3) good qualities of a responsible digital citizen?

Answers

Answer:

eat dog haha ok thats my answer

find the equation of a line with slope 2 and 6 unit away from the origin​

Answers

Step-by-step explanation:

find the equation of a line with slope 2 and 6 unit away from the origin​

slope intercept form: y = mx + b where m = slope and b = y-intercept.

You are given:

slope = 2

b = 6

answer:

y = 2x + 6

find the area of shaded region​

Answers

Answer:

[tex]1 {p}^{2} + 3p - 3.5[/tex]

Step-by-step explanation:

Look at the picture attached. Hope this helps!

11. What is the solution to

-2.5(4x-4)= -6?
x=

Answers

[tex]-2.5(4x-4)= -6[/tex]

Distribute:

[tex](-2.5)(4x)+(-2.5)(-4)=-6[/tex]

[tex]-10x+10=-6[/tex]

Subtract 10 from both sides:

[tex]-10x+10-10=-6-10[/tex]

[tex]-10x=-16[/tex]

Divide both sides by -10:

[tex]\dfrac{-10x}{-10} =\dfrac{-16}{-10}[/tex]

[tex]\fbox{x = $\dfrac{8}{5} $}[/tex]

Answer:

-2.5. or - 2.5= they are the same

22. Sven has 11 more than twice as many customers as when he
started selling newspapers. He now has 73 customers. How many
did he have when he started

Answers

31 because if you take 73-11=62 then you divide that by 2 to get 31! Hope this helps!

Solve the inequality by using a table or graph.
x2 − 6x + 8 > 35

x < 3 or x > 9
−3 < x < 9
−9 < x < 3
x < −3 or x > 9

Answers

To solve this inequality, we need to find all values of x that make the inequality true. We can do this by using a table or graph.

Method 1: Table
We can create a table of values to find the solution to the inequality:

x | x^2 - 6x + 8 | x^2 - 6x + 8 > 35

-10 | 100 - 60 + 8 | 48 > 35 | false
-5 | 25 - 30 + 8 | 3 > 35 | false
0 | 0 - 0 + 8 | 8 > 35 | false
5 | 25 - 30 + 8 | 3 > 35 | false
10 | 100 - 60 + 8 | 48 > 35 | false

From the table, we can see that the inequality is only true for x < -3 and x > 9. Therefore, the solution to the inequality is x < -3 or x > 9.

Method 2: Graph
We can also solve the inequality by graphing the left-hand side (LHS) and right-hand side (RHS) on the same coordinate plane. The LHS of the inequality is x^2 - 6x + 8, and the RHS is 35.

To graph the LHS, we need to find the x-intercepts, which are the points where the graph crosses the x-axis. The x-intercepts are found by setting y = 0 and solving for x:
0 = x^2 - 6x + 8
x = 3 and x = -2

To graph the RHS, we need to find the y-intercept, which is the point where the graph crosses the y-axis. The y-intercept is found by setting x = 0 and solving for y:
y = 0^2 - 0*6 + 8
y = 8

Now that we have the x-intercepts and y-intercept, we can plot the points and draw the graph of the LHS and RHS:

[asy] /* Made by MRENTHUSIASM */ unitsize(1.5cm); int xMin = -12; int xMax = 12; int yMin = -12; int yMax = 12; draw((xMin,0)--(xMax,0),black+linewidth(1.5),EndArrow(5)); draw((0,yMin)--(0,yMax),black+linewidth(1.5),EndArrow(5)); label("$x$",(xMax,0),(2,0)); label("$y$",(0,yMax),(0,2)); label("$y = 35$",(xMax,35),(0,0),red); label("$y = x^2 - 6x + 8$",(-12,-92),(-2,0),blue); [/asy]

From the graph, we can see that the inequality is only true for x < -3 and x > 9. Therefore, the solution to the inequality is x < -3 or x > 9.

Note: The solution x < 3 or x > 9 and the solution x < -9 or x > 3 are also correct, but they are not the most simplified form of the solution

Please Help with 4 and 6

Answers

The second-period interest and amount after two months, if The principal amount is $400, The rate of interest is 6% per annum, are $4.02 and $406.02 respectively.

What is interest?

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

The principal amount, P = 400,

The rate of interest, r = 6% per annum,

The time period, t = monthly = 1 / 12 year,

Calculate the simple interest for the first month as shown below,

Simple interest = [tex]p\times r\times t/100[/tex]

Simple interest = 400 × 6 × 1 / (12 × 100)

Simple interest = 2

Thus, the amount of the first month is the principle for the second month,

Amount of the first month =  Principal of the second month = 400 + 2 = 402,

Calculate the simple interest for the second month as shown below,

Simple interest = [tex]p\times r\times t/100[/tex]

Simple interest = 402 × 6 × 2 / (12 × 100)

Simple interest = 4.02

Amount after two months = 402 + 4.02 = 406.02.

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A store is having an inventory reduction sale, so an employee marks down some gold rings from $75
to $39. What percentage is the discount?

Answers

Answer:

48% discount

Step-by-step explanation:

39/75 = 0.52

39 is 52% of 75 but to find the percent discount you have to

1 - 0.52 = .48 *100 = 48%

Michelle invests in a savings account that pays 5% interest compounded monthly. What is the APY for this account ?? (Round to the nearest 0.00%)

Only answer if you know!!

Answers

The account's APY is 5.12%.

Waht is APY.

Annual Percentage Yield, or APY, is the rate that may be earned on an account over the course of a year and includes compound interest.

The annual percent yield, or APY, accounts for interest compounding. Because it takes into account the interest you earn on your money, it accurately reflects the interest rate you really receive on an investment.

Consider the previous illustration, where a $100 investment generates a 5% quarterly compounded return. On the $100, you receive interest throughout the first quarter. However, in the second quarter, you also receive interest on the $100 in addition to the first quarter's interest.

The APY (Annualized Percentage Yield) formula is:

APY = [tex](1+i/N)^{N} -1[/tex]

where, i = Nominal rate = 5%, N = Number of compounding periods = 12

putting the values in the above formula, we get,

APY = (1 + 5% / 12)^12 - 1

APY = (1 + 0.4167%)^12 - 1

APY = (1 + 0.0041667)^12 - 1

APY = (1.0041667)^12 - 1

APY = 1.051161897 - 1

APY = 0.051161 or 5.12%

The APY for this account 5.12%

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.Solve for x
x = 192
x = 336
x = 8√3
x = 4√21

Answers

We can solve this question by using Pythagoras Theorem . The value of x in the given question is 8√3.

What do you mean by Pythagoras Theorem?

The well-known Pythagorean Theorem, which states that the square of the hypotenuse is equal to the sum of squares of the lengths of the other two sides of the right-angled triangle, states that the square on the hypotenuse (the side opposite the right angle) is equal to the square on the legs of a right triangle. Pythagorean Theorem is written as a2 + b2 = c2. Alternatively, the square of the hypotenuse of a right triangle is equal to the sum of the squares of its two legs.

Calculation

From the given triangle using Pythagoras theorem,

       Assume the triangle as ABC where AB=y BC=z and AC=28

        D is the altitude from B and BD=x

         AD=12 so CD=16

Now using Pythagoras theorem,

           (y)2 = (12)2 + (x)2 - eq1

           (z)2 = (x)2 + (16)2 -eq2

           (y)2 + (z)2 =(28)2 -eq3

  Substitute eq 1 and 2 in 3

        ⇒2(x)2 + (12)2 + (16)2 =(28)2

        ⇒(x)2 =192

        ∴x =8√3

We can solve this question by using Pythagoras Theorem . The value of x in the given question is 8√3.

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Get the answer by completing the square
t^2-10t+6=7

Answers

Answer:

[tex]t=5 +\sqrt{26}, \quad t=5-\sqrt{26}[/tex]

Step-by-step explanation:

Given equation:

[tex]t^2-10t+6=7[/tex]

When completing the square for a quadratic equation, the first step is to move the constant to the right side of the equation:

[tex]\implies t^2-10t+6-6=7-6[/tex]

[tex]\implies t^2-10t=1[/tex]

Add the square of half the coefficient of the term in x to both sides to form a perfect square trinomial on the left side:

[tex]\implies t^2-10t+\left(\dfrac{-10}{2}\right)^2=1+\left(\dfrac{-10}{2}\right)^2[/tex]

Simplify:

[tex]\implies t^2-10t+\left(-5\right)^2=1+\left(-5\right)^2[/tex]

[tex]\implies t^2-10t+25=1+25[/tex]

[tex]\implies t^2-10t+25=26[/tex]

Factor the perfect square trinomial on the left side:

[tex]\implies (t-5)^2=26[/tex]

Square root both sides:

[tex]\implies \sqrt{(t-5)^2}=\sqrt{26}[/tex]

[tex]\implies t-5=\pm \sqrt{26}[/tex]

Add 5 to both sides:

[tex]\implies t-5+5=\pm \sqrt{26}+5[/tex]

[tex]\implies t=5 \pm \sqrt{26}[/tex]

Therefore, the solutions of the given quadratic equation are:

[tex]t=5 +\sqrt{26}, \quad t=5-\sqrt{26}[/tex]

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Why does 0.5x0.11 is equal to 0.055

Answers

Answer:

0.5 x 0.11 is equal to 0.055 because of the zeros and the decimal placements.

Step-by-step explanation:How does it work?

Even though it would seem like the answer would be 0.55, the decimal placement of 0.5 makes it so that the number would change to an extra zero in the final result.

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

Find the value of x and y in the below diagram. TL is the perpendicular bisector of BF. TE = 2x - 10, EL = 8x-17, BE = 3x+6, and BF = 7x-5, m

Answers

Hello,

I hope you and your family are doing well!

To find the value of x, we can use the fact that TL is the perpendicular bisector of BE. This means that TL splits BE into two segments of equal length. Therefore, we have:

EL + BF = BE

Substituting the values for EL, BF, and BE gives:

[tex](8x - 17) + (7x - 5) = (3x + 6)[/tex]

Combining like terms gives:

[tex]15x - 22 = 3x + 6[/tex]

Subtracting 3x from both sides gives:

[tex]12x - 22 = 6[/tex]

Adding 22 to both sides gives:

[tex]12x = 28[/tex]

Dividing both sides by 12 gives:

[tex]x = 28/12 = 7[/tex]

Now that we know the value of x, we can use this value to find the value of y. We can use the equation TE = 2x - 10 to find the value of TE:

TE = 2x - 10 = 2 * 7 - 10 = 14 - 10 = 4

Now we can use the equation EL = 8x - 17 to find the value of EL:

EL = 8x - 17 = 8 * 7 - 17 = 56 - 17 = 39

Since TL is the perpendicular bisector of BE, the length of TL is the average of the lengths of EL and TE. The average of EL and TE is:

(EL + TE)/2 = (39 + 4)/2 = 43/2 = 21.5

So the length of TL is 21.5, and the value of y is 21.5 and x is 7

Please leave a like, 5 stars, and brainliest if you find this helpful since it encourages me to continue helping students.

Happy Holidays!

1
A circle of radius 3 cm is drawn inscribed in a right angle triangle ABC, right angled at C. If AC is
10 Find the value of CB
A. 10.5cm
B. (20/7)√58 cm
C. 21/2 cm
D. None of these

Answers

Answer:

Option A

Step-by-step explanation:

(x + 7)2 = 102 + (x + 3)2

(Tangents from the external point are equal)

⇒ x = 7.5cm ⇒ OB = x + 3 = 10.5 cm

The value of CB is option A. 10.5 cm

Which value is not part of the five-number summary needed for a box plot of this data? { 5, 6, 1, 27, 2, 7, 12, 15, 9, 18, 19}.

Answers

The five-number summary required to construct a box plot of this data does not include 11.

What is a five-number summary?

When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful.

The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values.

So, sort the numbers in the row {5, 6, 1, 27, 2, 7, 12, 15, 9, 18, 19} from least to largest:

{1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27}

The range starts at 1 and ends at -27.

The middle value in this row—9—is the median.

18 is the median of the right part {12, 15, 18, 19, 27} and 5 is the median of the left part {1, 2, 5, 6, 7}.

The only option missing from A through D is number 11. (numbers 1, 5, and 9 are part of the five-number summary).

Therefore, the five-number summary required to construct a box plot of this data does not include 11.

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Complete question:
Which value is not part of the five-number summary needed for a box plot of this data?

{ 5, 6, 1, 27, 2, 7, 12, 15, 9, 18, 19}

A. 1

B. 5

C. 9

D. 11

solve the system of equations using the substitution method. state the solution as an ordered pair, (x,y). x+y=2 y=5x-4

Answers

Answer:

(1, 1)

Step-by-step explanation:

x+y=2

y=5x-4

x + 5x - 4 = 2

6x - 4 = 2

6x = 6

x = 1

x + y = 2

1 + y = 2

y = 1

(1, 1)

You buy an I-phone for $800 or pay $75 down and the balance in 12 monthly payments of $65. What is the installment price?

Answers

The installment price is $55.

How to find the price?

This can be illustrated through an expression. Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Here, you buy an I-phone for $800 or pay $75 down and the balance in 12 monthly payments of $65. The total amount will be:

= 75 + (12 × 65)

= $855

The installment will be:

= $855 - $800

= $55

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PLS HELP ME!!!! I RLLY CONFUSED!!! 100 PTS. NO SCAM ANSWERS T-T

Answers

Answer:

1. 2(x-2) = 2x -4 = -7 + 6x -4x +3

2. (x+14) - (8-2x) = 3x + 6 = 9x - 2(3x-3)

3. 3(x+5) = 3x + 15 = -2x + 9 + 5x + 6

4. -4(x+1) + 5x = x - 4 = (7-2x) + (3x -11)

5. (7 + 5x) + (-4x - 1) = 6 + x = -3x + 6 + 4x

Step by step:

For number 1:

2(x-2) = 2x - 4

-7 + 6x -4x + 3 = (-7 + 3) + (6x - 4x) = 2x - 4

For number 2:

(x+14) - (8-2x) = x + 14 - 8 + 2x = (14-8) + (2x + x) = 3x + 6

9x - 2(3x-3) = 9x - (6x - 6) = 9x - 6x +6 = 3x + 6

--

Have a nice day!!

Answer:

4

1

2

5

3

Step-by-step explanation:

we should simplify them first

we will keep the first column the same and call them by numbers 1-5 and the second column will be labled by letters A-E

1- 2(X-2)

 2X-4

2- X+14-(8-2X)

X+14-8+2X

3X+6

3 - 3(x+5)

    3x+15

4: -4(x+1)+5x

   -4x-4+5x

  x-4

5. (7+5x)+(-4x-1)

x+6

A: 7-2x+3x-11

x-4

A=4

B: -7+6x-4x+3

   -7+2x+3

2x-4

B=1

C: 9x-6x+6

3x+6

c= 2

D: -3x+6+4x

    x+6

D= 5

E-2x+9+5x+6

 3x+15

E= 3

hopes this helps and im sorry for the mess i had to write a lot please mark brainliest

oger federer's run of 5 consecutive wimbledon championships, a record tied with bjorn borg, was halted when he was defeated in the final in 2008 by whom?

Answers

Roger Federer's record-tying run of five consecutive Wimbledon Championships was ended in 2008 when he was defeated in the final by Rafael Nadal.

Swiss tennis player Roger Federer, born in Basel, Switzerland, on August 8, 1981, dominated the sport in the early 21st century with his superb all-around performance.

At Wimbledon 2008, Federer made an effort to beat Borg's mark and become the first male player to win six straight Wimbledon championships in the Open Era.

Federer's 41-match winning streak was snapped at Wimbledon when Nadal upset him in his most successful major.

Roger federer's run of 5 consecutive wimbledon championships, a record tied with bjorn borg, was halted when he was defeated in the final in 2008 by Rafael Nadal

The following year, Federer repeated the feat, and in 2010, Nadal once again won the double.

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A certain statistic dˆ is being used to estimate a population parameter d. The expected value of dˆ is not equal to d. What property does dˆ exhibit?.

Answers

According to the Central Limit Theorem for proportions, the property does dˆ exhibit is the statistic is biased.

Central line theorem:

In statistics, central limit theorem states that when the large sample size has a finite variance, the samples will be normally distributed and the mean of samples will be approximately equal to the mean of the whole population.

Given,

A certain statistic dˆ is being used to estimate a population parameter d. The expected value of dˆ is not equal to d.

Here we need to find the property does dˆ exhibit.

As per the Central Limit Theorem establishes that for a proportion p in a sample of size n:

Expected value μ = p

Standard error s = √p(1 - p) /n

Here the expected value is different of the expected, hence, the statistic is biased.

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There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 3 or a multiple of 5?

Answers

The likelihood that the number is 3 or 5 is 0.47.

What is probability?

A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

There are 15 identical spaces. Once the spinner has been spun,

Probability is determined by dividing the number of potential outcomes by the number of possible positive outcomes.

5 times: 5, 10, and 15

3 times, 6, 9, 12, and 15.

Different results (3, 5, 6, 9, 10, 12, and 15) (stop doing them).

a variety of successful results 7

3) There are 15 possible outcomes.

4) Probability is equal to 7/15, or 0.47

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rubys market sells smoked meats by the pound. The prices for several different meats ate shown in the table.?

giving 85 points)​

Answers

The amount of money that Kaylee will have left after spending to by meat in Ruby's market would be = $5.01.

What is Kaylee's balance after market purchases?

The total amount of money Kaylee has to spent in the market = $11

The quantity of sausage she ordered = 1/2pound

The price of per pound of sausage = $3.25

Therefore 1/2 pound = 3.25 × 1/2 = $1.63

The quantity of chicken she ordered = 1¾ pounds

The price per pound of chicken = $2.50

Therefore 1¾ pounds = 2.50 × 1¾ = $4.36

The total money spent on meat = 1.63 + 4.36 = $5.99

The amount that Kaylee would have left = 11-5.99=$5.01.

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how many ways can you write two different letters, so that they are in alphabetical order? for example, am and iq count, but om does not.

Answers

There are 325 ways we can write two different letters so that they are in alphabetical order.

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant (unlike permutations).

A k-combination of a set S is officially defined as a subset of S's k unique elements.

We have 25 ways to have the combo A_

Then 24 ways to have the combo  B_

The number of combos = 25 * (26/ 2)  

                                       = 25 * 13  

                                       = 325  ways

To learn more about alphabetical order here:

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Solve the problem by entering and solving an equation.


The Wilsons have triplets and another child who is eleven years old. The sum of the ages of their children is 38. How old are the triplets?


The equation is __n + __ = __
. The triplets are _______ years old.

Answers

Answer:

9

Step-by-step explanation:

Equation

[tex]3n + 11 = 38[/tex]

3n=38-11

n=27/3

n=9

therefore triplets are 9 years old

Check

[tex]3n + 11 = 38[/tex]

[tex]3 \times 9 + 11 = 38 \\ 27 + 11 = 38 \\ 38 = 38[/tex]

Answer:

equation: 3n+11=38

The triplets are 9 years old.

Step-by-step explanation:

3n : triplets x their age

11 : the sum

38 : the sum of the ages

We must isolate n to know their age so,

<=> 3n+11=38

<=> 3n=38-11

<=> n=(38-11)/3

<=> n=9

suppose you roll a 6-sided die 6 times. a. how many different (equally likely) outcomes are possible?

Answers

Answer:

You can get the answer of 1,2,3,4,5 or 6. Each are 1/6 likely to be rolled.

Step-by-step explanation:

The die has 6 sides. If you were to roll the die 6 times you have the chance to roll the side with 1. The chances of rolling a 1 are 1/6.

1/6 of a chance of rolling a 1
6 possible outcomes

Jill made a New Year's resolution to learn how to play the cello. She bought an Introduction to
Cello class pack from the Purple Harp music shop, which covers the cost of 15 cello lessons.
She also paid $35 to rent a cello. In all, Jill paid $425.
Which equation can you use to find the cost, c, of each cello lesson?
A. 35(c +15) = 425
B. 15c + 35 = 425
C. 15(c + 35) = 425
D. 35c+15= 425

Answers

Answer: The correct equation to find the cost, c, of each cello lesson is: 15c + 35 = 425

Step-by-step explanation:

This equation represents the total cost of the cello lessons and the cello rental, which is 425 dollars. The cost of the cello lessons is represented by 15c, and the cost of the cello rental is represented by 35 dollars. By solving this equation for the variable c, we can find the cost of each cello lesson.

To solve this equation, we can use the following steps:

Subtract 35 from both sides of the equation: 15c = 425 - 35

Simplify the right side of the equation: 15c = 390

Divide both sides of the equation by 15: c = 390/15

Simplify the right side of the equation: c = 26

Therefore, the cost of each cello lesson is $26.

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