Anyone know the answer to this geometry problem?

Anyone Know The Answer To This Geometry Problem?

Answers

Answer 1

Answer:

540°

Step-by-step explanation:

The sum of the interior angles of a polygon is:

(n-2)*180

where n = number of sides

Here you have :

(5 - 2)*180 = 540°


Related Questions

Outside a home, there is a 10- key pad with letters A, B,C,D,E,F,G,H,I and J that can be used to open a garage door if the correct ten letter code s entered each key can only be used once. How many codes are there?

Answers

Final answer:

There are 3,628,800 possible codes that can be entered into the 10-letter keypad.

Explanation:Mathematics - Middle School

The number of codes that can be formed using the 10-letter keypad is calculated using the concept of permutations. Since each key can only be used once, we need to find the number of ways we can arrange 10 letters without repetition. This can be calculated as:

P(10, 10) = 10!

Therefore, there are 3,628,800 possible codes that can be entered into the keypad.

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The number of possible ten-letter codes using the keys labeled A to J, are 3,628,800 possible codes.

The number of different codes can be found by calculating the permutations of 10 unique keys, or 10!.

The factorial of a number n (written as n!) is the product of all positive integers from 1 to n.

So, the calculation for 10 keys is:

10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

Computing this gives:

10! = 3,628,800

Therefore, there are 3,628,800 possible codes for opening the garage door.


State how many imaginary and real zeros the function has.

f(x) = x4 - 15x2 - 16

4 imaginary; 0 real
3 imaginary; 1 real
2 imaginary; 2 real
0 imaginary; 4 real

Answers

Answer:

  2 imaginary; 2 real

Step-by-step explanation:

You can factor it as ...

  f(x) = (x^2 -16)(x^2 +1) . . . . . . . . . x^2-16 is the difference of squares

  = (x -4)(x +4)(x^2 +1)

The two linear factors have real zeros; the quadratic factor has two imaginary zeros. There are 2 imaginary and 2 real zeros.

Julie and her family go to the movies. They buy 2 adult tickets and 3 child tickets. An adult ticket costs $3.50 more than a child ticket. Julie's family spends $35.75. How much is the cost of a child ticket?

Answers

Answer:

$5.75

Step-by-step explanation:

First we will make an equation. We will put child tickets as x, and adult tickets as x+3.50. =

2x+7+3x=35.75=

5x=28.75

x=5.75

Given the speeds of each runner below, determine who runs the fastest. Stephanie runs 10 feet per second. Stephanie runs 10 feet per second. Liz runs 420 feet in 46 seconds. Liz runs 420 feet in 46 seconds. Adam runs 1 mile in 427 seconds. Adam runs 1 mile in 427 seconds. Emily runs 667 feet in 1 minute. Emily runs 667 feet in 1 minute. Stephanie Stephanie Liz Liz Adam Adam Emily Emily Submit Answer

Answers

9514 1404 393

Answer:

  Adam

Step-by-step explanation:

It is pretty easy to make comparisons to 10 ft/s.

If Liz ran 10 ft/s, she would run 460 ft in 46 s. Since she runs 420 ft, she runs slower than that.

If Emily ran 10 ft/s, she would run 600 ft in 1 minute, so Emily runs faster than that.

If Adam ran 10 ft/s, he would only run 4270 ft in 427 seconds. Since he runs 5280 ft in that time, his speed is definitely greater than 10 ft/s.

__

At this point, we know that Adam and Emily run faster than Liz and Stephanie. So we need to compare Adam and Emily's rates.

Adam's time for 1 mile is about 7 minutes. If Emily ran for 7 minutes, her distance would be less than 7×700 ft = 4900 ft, substantially less than 1 mile (5280 ft).

Adam runs the fastest.

_____

Comment on straightforward solution

Each rate can be computed by dividing distance by time:

  Liz: (420 ft)/(46 s) = 9.13 ft/s

  Adam: (5280 ft)/(427 s) = 12.37 ft/s

  Emily: (667 ft)/60 s) = 11.12 ft/s

Adam's is the highest, well above Stephanie's 10 ft/s.

These calculations require a calculator. The solution above was done without a calculator.

Final answer:

To determine the fastest runner, we calculated each runner's speed in feet per second. Adam was found to be the fastest with a speed of 12.37 feet per second.

Explanation:

To find out who the fastest runner is, we need to calculate the speed of each runner in feet per second and then compare. Stephanie's speed is already given as 10 feet per second. Next, we calculate Liz's speed by dividing the distance she runs by the time it takes her: 420 feet / 46 seconds = 9.13 feet per second. Now, we convert Adam's mile into feet, knowing that 1 mile = 5280 feet. Adam's speed is 5280 feet / 427 seconds = 12.37 feet per second. Lastly, we need to convert Emily's time into seconds since she runs for 1 minute (which is 60 seconds). So, Emily's speed is 667 feet / 60 seconds = 11.12 feet per second. Comparing all speeds, Adam runs the fastest at 12.37 feet per second.

Burro Travel Bureau arranges trips for descending into the Grand Canyon. For each trip, they charge an initial fee of \$25$25dollar sign, 25 in addition to \$0.10$0.10dollar sign, 0, point, 10 for each vertical meter they descend. Let yyy represent the fee (in dollars) of a trip where they descended xxx vertical meters.

Answers

Answer:

Slope and y-intercept

Step-by-step explanation:

The complete question is shown in the image attached with.

For each trip an initial fee of $ 25 is charged and $ 0.10 is charged for each vertical meter descended.

Since, for each vertical meter the charge is $ 0.10, for x meters the charges will be $ 0.10x. So,

Total charges of the trip would be:

Total charges/fee = Initial Fee + Fee for x meters

y = 25 + 0.10x

y = 0.10x + 25

The general slope intercept form of the equation of the line is:

y = mx + c

Where,

m = slope of the line

c = y-intercept

Compairing both the equations given above we, get:

Slope of line = m = 0.10

y-intercept = c = 25

So, the given statements gives us the slope and the y-intercept of the graph.

Answer:

Slope and y-intercept

Step-by-step explanation:

What is a prediction? A. a conclusion B. another hypothesis C. observed data that does not support the hypothesis D. another proposed data point on the trend line but not observed data

Answers

Step by step:A prediction is basically an educated guess and if you are looking for the exact word to describe that you would find that hypothesis is the correct way to tell what is a prediction.

Answer:B

The answer is B. Another hypothesis

George picked flowers every day for three days. On the first day George picked 2 flowers. On the second day George picked 6 flowers, and on the third day he picked 10. A function can model George's sequence. What is the slope of that function? A) 2 B) 3 C) 4 D) 5

Answers

Answer:

The answer to your question is: 4

Step-by-step explanation:

         first day          second day         third day

              2                        6                         10

                                                              represent them considering number two

              2                   2 + 4                   2 + 8

                                                            Here, we can notice that the increase

                                                           from day 1 to day 2 was 4 and the

                                                           increase from day 2 to three was also 4

                                                           then the slope will be 4.

IF A SUBSCRIPTION IS $499 PLUS 8% TAX FOR 30 DAYS, BUT IS BEING PRORATED FOR 7 DAYS, PLUS THERE IS A $10 OFF COUPON, WHAT'S THE FINAL COST?

Answers

Answer:

$528.12

Step-by-step explanation:

499-10

489×1.08= 528.12

Answer:

The final cost is $115.74.

Step-by-step explanation:

Total amount of 30 days with tax = [tex]499+(0.08\times499)[/tex] = 538.92 dollars

This value is for 30 days, and its prorated for 7 days, so value for 7 days is =

[tex]\frac{538.92}{30}\times7[/tex] = 125.74 dollars

And $10 is off, so final cost is [tex]125.74-10=115.74[/tex] dollars

(Suppose the discount coupon is applied at the end of billing)

The final cost is $115.74.

Use the given data to find the minimum sample size required to estimate a population proportion or percentage. Margin of​ error: eight percentage​ points; confidence level 90​%; from a prior​ study, ModifyingAbove p with caret is estimated by the decimal equivalent of 34​%.

Answers

Answer:

kn

Step-by-step explanation:

qoierh2rhfjfwjfjj2jnfcdfejghitu43o4ip

The florist selects from these flowers to make arrangements for the upcoming flower show. Use the drop-down menus to complete the statements.

The greatest number of identical arrangements that can be made using only the carnations and asters with no flowers left over is ______.

The greatest number of identical arrangements that can be made using only the lilies and daffodils with no flowers left over is ______.

Answers

The greatest number of identical arrangements that can be made using only the carnations and asters with no flowers left over is 6

.

The greatest number of identical arrangements that can be made using only the lilies and daffodils with no flowers left over is

12

ANSWER:

-6

-12

STEP-BY-STEP EXPLANATION:

The greatest number of identical arrangements that can be made using only the carnations and asters with no flowers left over is 6

The greatest number of identical arrangements that can be made using only the lilies and daffodils with no flowers left over is 12

PLEASE HELP ASAP 98 POINTS, WILL GIVE BRAINLIEST, 5 STAR RATING, AND THANKS.
ONLY TO THE CORRECT ANSWERER!

Answers

See the attached picture:

Answer:

if you put the trigangle diagnal then do a box the a square

hope that helps

if not tell me I will change the answer with the right answers

15 strips, 1 1/4" wide are to be ripped from a sheet of plywood. If 1/8" is lost with each cut, how much of the plywood sheet is used to make the 15 strips

Answers

9/2”

15 strips means 14 cuts so that’s 14/8” lost
14/8 + 11/4 (or 22/8) = 36/8 = 9/2”

The plywood needed for 15 strips is 20.5 inches.

Given to usNumber of strips needed = 15width of the strip = [tex]\rm 1\dfrac{1}{4}\ inches[/tex]Lost of the plywood to cut a strip =  [tex]\rm{ \dfrac{1}{8}\ inches[/tex]

width of the strip

[tex]\rm 1\dfrac{1}{4}\ inches = \dfrac{(4 \times 1) +1 }{4} =\dfrac{5}{4}\ inches[/tex]

Number of cuts

As to cut 15 strips of plywood a total of 14 cuts will be needed.

therefore, the waste of plywood in these 14 strips will be

= Lost in each cut x Number of cuts

[tex]=\dfrac{1}{8}\times 14\\\\=\dfrac{14}{8}\\\\ = \dfrac{7}{4} inches[/tex]

Total plywood needed for all strips

Total plywood needed for all single strip

                        = width of the strip x number of strips

                        [tex]=\dfrac{5}{4} \times 15\\\\ =\dfrac{75}{4}\\\\[/tex]

Plywood needed

Plywood needed

= Total plywood needed for all strip +  Total waste of plywood

[tex]=\dfrac{7}{4}+\dfrac{75}{4}\\\\=\dfrac{82}{4}\\\\=20.5\ \rm inches[/tex]

Hence, the plywood needed for 15 strips is 20.5 inches.

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Given that the average rate of change for y = f(x) over the interval [0,3] is −1, the average rate of change over the interval [2,3] is 5, and the average rate of change over the interval [2,6] is 3, determine the average rate of change over the interval [0,6].

Answers

Final Answer:

The average rate of change over the interval [0,6] is approximately 1.1666666666666667.

Explanation:

As a maths teacher, my aim is to make you understand the concept and how to solve this problem. Let's start by understanding the given information.

We know that the average rate of change, \(m\), of \(f(x)\) over an interval \([a, b]\) is given by:

\(m = \frac{f(b) - f(a)}{b - a}\)

We have been given that:

1) The average rate of change over the interval [0,3] is -1,
2) The average rate of change over the interval [2,3] is 5,
3) The average rate of change over the interval [2,6] is 3.

So we can set up the following system of equations from these:

We have:
\(f(3) - f(0) = -1 * 3 = -3\) (from 1)
\(f(3) - f(2) = 5 * 1 = 5\) (from 2)
\(f(6) - f(2) = 3 * 4 = 12\) (from 3)

From the second equation we can express \(f(3) = 5 + f(2)\).

Then, by substituting this into the first equation we get \(f(2) = -3 - 5 = -8\).

Now we substitute \(f(2) = -8\) into the third equation we get \(f(6) = 12 + f(2) = 12 - 8 = 4\).

And finally, using these we can find the average rate of change over the interval [0,6] is \((f(6) - f(0))/6 = (4 - (-3))/6\), we subtract \(f(3)\) from both sides and we get that \(f(0)\) is equal to \(f(3) - 3\).

This gives us that the average rate of change over the interval [0,6] is approximately 1.1666666666666667.

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Let p and q be the propositions p: You drive over 65 miles per hour. q: You get a speeding ticket. Identify the expression that represents the proposition "If you do not drive over 65 miles per hour, then you will not get a speeding ticket." using p and q and logical connectives (including negations).

Answers

Answer:

- p ⇒ - q

Step-by-step explanation:

p : Drive over 65 miles

q : You get a speeding ticket.

So then we get the negations.

- p : You do not drive over 65 miles

- q : You don't get a speeding ticket.

So, we need to connect the sentences. For that we use ⇒.

⇒ : then.

So, the sentence, If you do not drive over 65 miles per hour, then you will not get a speeding ticket

Can be written as : -p ⇒ -q

Final answer:

The expression representing the proposition using the variables p and q is ¬p → ¬q, which follows the logical rule of Modus Tollens.

Explanation:

The proposition "If you do not drive over 65 miles per hour, then you will not get a speeding ticket" can be represented using the variables p for "You drive over 65 miles per hour" and q for "You get a speeding ticket". The logical expression for the given proposition, using logical connectives and negations, is ¬p → ¬q, which means "not p implies not q".

This is an example of the logical rule known as Modus Tollens, which can be expressed as ((p→q) ∧ ¬q) → ¬p. If the implication p→q is true, and the consequent q is false (¬q), then it must follow that the antecedent p is also false (¬p).

Which equation is an identity?


3w + 8 – w = 4w – 2(w – 4)


7m – 5 = 8m + 7 – m


–3y + 3 = –3y – 6


9 – (2v + 3) = –2v – 6

Answers

Answer:

  3w + 8 – w = 4w – 2(w – 4)

Step-by-step explanation:

The simplified forms of each of these equations are ...

2w +8 = 2w +8 . . . . . .the identity you're looking for7m -5 = 7m +7 . . . . . . never true-3y +3 = -3y -6 . . . . . . never true-2v +6 = -2v -6 . . . . . . never true

The perimeter of a rectangular playground can be no greater than 120 meters. The width of the playground cannot exceed 22 meters. What are the possie lengths of the playground?

Answers

Final answer:

The maximum length of the playground is 38 meters, given that the perimeter cannot exceed 120 meters and the width cannot exceed 22 meters. The possible lengths are therefore from 0 to 38 meters.

Explanation:

Possible Lengths of the Playground

The problem states that the perimeter of a rectangular playground can be no greater than 120 meters, with a maximum width of 22 meters. The perimeter (P) of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width. We can rearrange this formula to solve for the length (l): l = (P/2) - w.

Given that the maximum width (w) is 22 meters and the maximum perimeter is 120 meters, we can substitute these values to find the maximum length:

l = (120/2) - 22l = 60 - 22l = 38 meters

The maximum length of the playground is 38 meters. However, the length can be any value less than or equal to 38 meters, so the possible lengths of the playground are from 0 meters to 38 meters.

Match the graph of the function with the function rule.
A) y = 1 • 4x

B) y = 3 • 10x

C) y = 2 • 4x

D) y = 10 • 4x


Answers

Answer:

D) [tex]y = 10 * 4^{x}[/tex]

Step-by-step explanation:

Replace each function with x = 0

A) [tex]y = 1*4^{x} \\y = 1*4^{0} \\y = 1[/tex]

B) [tex]y = 3*10^{x} \\y= 3* 10^{0} \\y = 3 \\[/tex]

C) [tex]y = 2*4^{x} \\y = 2*4^{0} \\y = 2[/tex]

D) [tex]y = 10*4^{x} \\y= 10*4^{0} \\y = 10[/tex]

If you check the graph with x = 0, the value of y is between 8 and 12 so the only probably answer acoording to the alternatives is D) which gives y = 10 when x = 0

A professor is interested in the average length of books in her library. She has divided her books into a few different categories: 235 books on mathematics, 290 books on sports, and 166 books on interior design. Rather than examining all the books, she plans to use a stratified sample of 50 books. How many of the sports books should she choose?

Answers

Answer:I would rather be playing Minecraft

Step-by-step explanation:

I like Minecraft

Answer:

21 books approximately.

Step-by-step explanation:

First of all we need to find the proportion of the sample. To do that, we sum all the books and then divide by the sample we need, which is 50

[tex]\frac{50}{235+290+166} =\frac{50}{691}[/tex], because we need 50 books among 691 total.

Now, with this ratio, which is the same for all sample we would make here, we find the stratified sample of books, specifically, for sports books which are 290.

[tex]s=290 \times \frac{50}{691}\\ s \approx 21[/tex]

Thefore, she should take 21 sports books.

Remember that stratified sampling refers to a type of sampling method where the population is divided into separate groups, which in this case represented the type of books. Then, we use a "probability" sample, or a proportion of the sample to apply it.

Which expression is equivalent to -6 (-2/3 + 2x)
-4 - 12x
-4 + 2x
4 - 12x
4 + 12x

Answers

Answer:

c. 4 - 12x.

Step-by-step explanation:

-6(-2/3 + 2x)

Using the distributive law:

= -6*-2/3 - 6*2x

=  12/3 - 12x

= 4 - 12x.

Answer:

4-12x

Step-by-step explanation:

multiply each term by -6

-6 × (2/3)

reduce the numbers with the greatest common divisor 3

You received a discount on each book you buy . The original price of each book is x dollars You buy 5 books for a total of (5x - 15 dollars factor the expression using GCF

Answers

Answer:

  5(x -3)

Step-by-step explanation:

The GCF of 5 and 15 is 5, since 5 is a factor of 15. Factoring that out gives ...

  5x -15 = 5(x -3)

Hallen went to farmers market and bought 1 2/5pounds if coffee at 12$ a pound and 4 1/2 pounds of rice at 0.35 per sound. If hallen paid for her purchase with $50 bill how much change did she receive

Answers

Answer:

  $32.67

Step-by-step explanation:

Her purchase total was ...

  (1.4 lb)($12.00/lb) +(4.5 lb)($0.35/lb) = $17.33

Her change from $50 will be ...

  $50 - 17.33 = $32.67

PLEASE HELP 25 POINTS!

Answers

Answer:

The common ratio r = 2.

Step-by-step explanation:

Now s2 = a1r and s4 = a1r^3  where a1 = first term and r = common ratio so

s4 / s2 = a1r^3  / a1r = r^2 = 32/8

r^2 = 4

r = 2.

Hey!

--------------------------------------------------

Answer:

r = 2

--------------------------------------------------

Solution:

So we know that s2 = 8 and s4 = 32.

We need to find s1!

32 / 8 = 4

8 / 4 = 2 (ratio is 2)

8 / 2 = 4

32 / 2 = 16

s1 = 4

s3 = 16

Each number is multiplied by 2.

--------------------------------------------------

Hope This Helped! Good Luck!

Brenda assumed that if the bank was willing to give her a loan, she could afford to make the monthly payments. This is an example of _____.

a misconception
a long-term goal
being financially irresponsible
being financially responsible

Answers

Answer:

being financially responsible

Step-by-step explanation:

Answer:

a misconception

Step-by-step explanation:

I think it's a misconception because she just assumed, which means she dousn't really know.

Suppose there are signs on the doors to two rooms. The sign on the first door reads "In this room there is a lady, and in the other one there is a tiger"; and the sign on the second door reads "In one of these rooms, there is a lady, and in one of them there is a tiger." Suppose that you know that one of these signs is true and the other is false. Behind which door is the lady?

Answers

Answer:

The lady is on the second door

Step-by-step explanation:

we have that

The sign on the first door reads "In this room there is a lady, and in the other one there is a tiger"

The sign on the second door reads "In one of these rooms, there is a lady, and in one of them there is a tiger."

so

The sign on the second door is true

The sign on the first door is true or false

Since one of these signs is true and the other is false, the sign in the first door must be false

therefore

The lady is on the second door

Final answer:

If the first sign is true, the lady is behind the first door, if the second sign is true, the lady is behind the second door.

Explanation:

Let's consider the first sign first. If the sign on the first door is true, then there must be a lady in that room and a tiger in the other room. This means that the sign on the second door is false, and there is no lady in the second room. Therefore, the lady must be behind the first door. If the sign on the first door is false, then the lady cannot be in the first room. This means that the second sign is true, and there must be a lady in the second room. So, the lady is behind the second door.

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simplify

(6) - sqrt(25)/4


The answer is 0.25


Use a calculator to estimate the value. Round to the nearest hundredth.

(-2) - sqrt(15)/2


The answer is -2.94


Simplify with negative radicands in terms of i:

x= (5) + sqrt(-49)/6

The answer is 5/6 + 7/6i


Just wanted to help out :)

Answers

Answer:

correct 0.25

Step-by-step explanation:

Final answer:

The questions relate to solving mathematical expressions involving radicals and imaginary numbers. Errors in the original expressions were corrected for accurate solutions. For example, the corrected calculation (6) - sqrt(25)/4 results in 4.75. x= (5) + sqrt(-49)/6 simplifies to 5 + 7/6i.

Explanation:

This question pertains to the field of Mathematics, specifically the area dealing with radicals and complex numbers. The original queries from the student need a bit of clarification since in a few cases the operations mentioned are mathematically invalid. For instance, in the question

(6) - sqrt(25)/4

, we are subtracting a square root from a number without any operator between them. Assuming we need to subtract the result of sqrt(25) divided by 4 from 6, we simplify sqrt(25) to 5 because the square root of 25 is 5. We then divide this by 4 to get 1.25. Subtracting 1.25 from 6 answers the first question as 4.75 Similarly, for the problem

x= (5) + sqrt(-49)/6

dealing with negative radicands, we know that the square root of a negative number results in an imaginary number. The sqrt(-49) simplifies to 7i (because the square root of 49 is 7 and the negative sign makes it imaginary). We then divide this by 6 to get 7/6i. Adding it to 5 we obtained the answer

5 + 7/6i

.

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In the Pick 4​game, you win a straight bet by selecting fourdigits​ (with repetition​ allowed), each one from 0 to​ 9, and getting the same fourdigits in the exact order they are later drawn. What is the probability of winning this​ game?

Answers

Answer:

Probability of winning the game: 1/10000

Step-by-step explanation:

The nominator in the only outcome possible for you to win the bet. So that would be your only selected fourdigit number.

The denominator is the total possibles outcomes. If the first posible number is 0000 and the last number is 9999. There are a total of 10000 possible outcomes that the selected number is drawn.

The general rule is [tex]\frac{p}{q}[/tex]

Where p are the draws where i win.

And q is the total population of possible numbers.

Assume the readings on thermometers are normally distributed with a mean of 0degreesC and a standard deviation of 1.00degreesC. Find the probability that a randomly selected thermometer reads between negative 0.12 and 1.02

Answers

Answer:

0.2983

Step-by-step explanation:

Let X be the reading on thermometer.  Given that X is N(0,1)

We are to find the probability that a randomly selected thermometer reads between negative 0.12 and 1.02

Reqd probability = [tex]P(0.12<x<1.12)[/tex].

Since this x is already normal std variable x=z

i.e. reqd prob = [tex]P(0.12<z<1.02) =0.3461 -0.0478\\=0.2983[/tex]

Hence answer is 0.2983

A tree that is 40 feet tall casts a 30-foot shadow. At the same time, another tree casts a 20-foot shadow. How tall is the second tree?

Answers

30 feet tall since the other tree is 40 an only cast a 30 foot shadow just add ten to the other shadow

Answer:

Height of second tree = 26.67 foot

Step-by-step explanation:

A tree that is 40 feet tall casts a 30-foot shadow

Height of tree = 40 feet

Height of shadow of tree = 30 feet

[tex]\frac{\texttt{Height of tree}}{\texttt{Height of shadow of tree}}=\frac{40}{30}=1.333[/tex]

So ratio of original height to shadow height is 1.333.

Now we need to find how tall is the another tree, if its shadow is 20 feet.

[tex]\frac{\texttt{Height of tree}}{\texttt{Height of shadow of tree}}=1.333\\\\\frac{\texttt{Height of tree}}{20}=1.333\\\\\texttt{Height of tree}=1.333\times 20=26.67foot[/tex]

Height of second tree = 26.67 foot

Mary has a third of the money that Erin has. Erin has $8 less than John. Together they have $267. How much money does each of them have?

Answers

Mary has $37, Erin has $111, and John has $119 and together they have $267 .

1. Mary has a third of the money that Erin has. Let's represent the amount of money Mary has as "m" and the amount Erin has as "e."

Based on the information given, we can write the equation:

m = (1/3)e

2. Erin has $8 less than John. Let's represent the amount Erin has as "e" and the amount John has as "j."

Based on the information given, we can write the equation:

e = j - 8

3. Together they have $267. This means the total amount of money they have is the sum of what Mary, Erin, and John have:

m + e + j = 267

Now, let's substitute the values we know into the equations to solve for the unknowns.

From equation 1, we have m = (1/3)e. Substituting this into equation 3, we get:

(1/3)e + e + j = 267

To simplify the equation, let's multiply all terms by 3 to eliminate the fraction:

e + 3e + 3j = 801

4e + 3j = 801

From equation 2, we have e = j - 8. Substituting this into the above equation, we get:

4(j - 8) + 3j = 801

Simplify and solve for j:

4j - 32 + 3j = 801

7j - 32 = 801

7j = 801 + 32

7j = 833

j = 833 / 7

j = 119

Now that we know the value of j (which represents the amount John has), we can substitute it back into equation 2 to find the value of e (the amount Erin has):

e = j - 8

e = 119 - 8

e = 111

Finally, we can substitute the values of e and j into equation 1 to find the value of m (the amount Mary has):

m = (1/3)e

m = (1/3)111

m = 37

So, Mary has $37, Erin has $111, and John has $119.

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What is the solution to the equation 133/4+x=71/4

Answers

the answer is: b

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