Peter was in a line. There were twice as many students in front of him as behind him. Students (more than 3 but fewer than 9) left the line but Peter did not. Then twice as many students were behind Peter as in front. How many students left the line?

Answers

Answer 1

Answer:

6 people left

Step-by-step explanation:

4 behind him 8 infront 6 left from infront leaving 4 behind 2 infront

Answer 2

Answer:

6 students

Explanation:

x = the number of students in front of peter

y = the number of students behind peter

z = the number of students who left, for 3 < z < 9 ∴ z ∈ {4, 8}

system of equations:

x = 2y2(x-z) = y (assuming that the students who left were all among the students who are in front of peter)

x = 2y ⇒ y = x/2 (defining y with x)

2(x-z) = y (lets substitute y)

2(x-z) = x/2

2x-2z = x/2

2(2x-2z) = x

4x-4z = x

4x-x = 4z

3x = 4z

if z = 6 (i pluged the numbers from 4 to 8)

then

3x = 4×6

3x = 24

x = 24/3

x = 8

∴ y = 4

8 students were in front of peter and 4 were behind him

6 left

now 2 students are in front of peter and 4 are behind him

8 is twice 4

8-6 = 2

4 is twice 2


Related Questions

What would this One be??

Answers

Answer:

the pre-image and the image are congruent

Step-by-step explanation:

Answer:

i think its c

Step-by-step explanation:

I need an answer quick!!!

Answers

Answer:

0.34

Step-by-step explanation:

it is between 0.3 and 0.4 so obviously 0.3 is going to be there, but the next digit will be 4 because it moves 4 places to the right.

Answer:

The answer is .34

When you see a question like this you just go down to the next decimal place. In this example you count: .31, .32, .33, .34... and so on.

Find the area of the polygon.

Answers

Answer:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Hope this helps !!

Step-by-step explanation:

A swimming pool is open for 7 1/2hours during a day. The pool keeps one lifeguard on
duty at a time, and each lifeguard's shift is 2 1/2hours long. How many shifts are there
per day?
7 shifts
5 shifts
3 shifts
4 shifts

Answers

Answer:

3 shifts a day

Step-by-step explanation:

7 1/2 hours = 7.5 2 1/2 hours = 2.5

7.5 divided by 2.5 = 3

Answer:

3 shift

Step-by-step explanation:

7 1/2 / 2 1/2

(15/2) / (5/2)

keep, change, flip

(15/2) x (2/5)

30/10 = 3 shifts

Type the correct answer in each box.
Consider the table modeling function f.
-2
-1
0
1
2
-28
-9
-2
-1
0
Complete the table modeling the inverse of function f.
-1
0
4–1()
-2
0

Answers

The screenshot is the correct answers

The table modeling the inverse of function f is,

  [tex]x[/tex]                  [tex]f^{-1}(x)[/tex]

-28                  -2

-9                   -1

-2                     0

 -1                     1

  0                    2

What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is inverse function?

"A function g is the inverse of a function f if whenever y = f(x) then x = g(y)"

For given question,

We have been given a table modeling function f.

 x             f(x)

-2            -28

-1              -9

 0              -2  

 1               -1

 2              0

We need to complete the table modeling the inverse of function f.

We know that the inverse of function y = f(x) is [tex]x=f^{-1}(y)[/tex]

For given function f(x), we find inverse of f(x)

  [tex]x[/tex]                  [tex]f^{-1}(x)[/tex]

-28                  -2

-9                    -1

-2                    0

 -1                     1

  0                   2

Learn more about the inverse of function here:

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ls Figure A'B'C'D' a translation of Figure ABCD? (Click in the picture to see the rest

Answers

Answer:D

Step-by-step explanation: It is none of them because it is translated up one unit and then reflected across the y axis.

Jada walks dogs to earn money. The points in this graph represent the total amount of money Jada earns based on the number of hours she walks dogs. Jada wants to purchase a new jacket that costs $32.

How many hours does Jada need to walk dogs to earn enough money to buy the jacket?

Answers

Answer:

Eight Hours.

Step-by-step explanation:

Since she makes 4$ in 1 hour, you divide 32 by 4 to see how many hours it would take her.

32 divided by 4 = 8

Jada needs 8 hours to walk dogs to earn enough money to buy the new jacket which costs $32.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Jada wants to purchase a new jacket that costs $32.

Since she makes 4$ in 1 hour

So, Time is taken to earn money to 4$ = 1 hour

      Time is taken to earn money to1$  = 1/4hour

Time is taken to earn money to 32$ = 32/4hour

                                                   = 8 hour

Thus, Jada needs 8 hours to walk dogs to earn enough money to buy the jacket.

Learn more about the unitary method;

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What is the surface area of the square pyramid? ​

Answers

Answer:

You find the area of all the faces of the square pyramid, then add them together to get the surface area.

How to solve this problem. Please! Urgent
log 3+ loga(a^3)

Answers

log 3 + 3log a ( a ) =

log 3 + 3 × 1 =

log 3 + 3 =

0.4771 + 3 =

3.4771

There were 35 children and 10 adults at a cookout. What is the ratio of adults to children at the cookout?

Answers

Answer:

2:7

Step-by-step explanation:

10:35 can also be written as 2:7

Thenks and mark me brainliest :))

Jessica is getting ready for college she needs to have an
overall grade of 85 in her Math class to qualify for the college that
she wished to attend. Her math grade is based solely on her
scores on 6 exams. On the first 5 exams her scores were 87, 81,
85, 90, 78. Write an inequality that represents her predicament.
What does score does she need to get on her last test to qualify?

Answers

Answer:

Step-by-step explanation:

ask cymath it will help you with any mathmatical problem

Part 3a. NO LINKS. Find the measure of the arc or angle indicated.​

Answers

9514 1404 393

Answer:

  99°

Step-by-step explanation:

Arc YZ is twice the measure of angle X, so is 136°. The sum of the arcs of a circle is 360°, so the unknown arc is ...

  360° -136° -125° = 99° . . . . measure of arc XZ

Answer:

Solution given:

<x=68°

arc XY=125°

arc XZ=?

we have

<X+<W=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]

<W=180°-68°=112°

Now

arc YZ=2×112°=224°[central angle is equal to the twice of its inscribed angle]

arc YZ=224°

arc XY +arc YZ=224°

125°+arc YZ=224°

arc YZ=224°-125°

arc YZ=99°

the measure of the arc or angle indicated is 99°.

Alyssa planted 2 rows of onions and 2 rows of turnips in a garden. Alyssa also
planted 2 a row of oak trees. In total, how many rows of vegetables
did Alyssa plant?

Answers

Answer:

7[tex]\frac{1}{2}[/tex] rows

Step-by-step explanation:

just count the rows! (if she planted half a row then add it as half)

2[tex]\frac{1}{2}[/tex] + 2[tex]\frac{1}{2}[/tex] + 2[tex]\frac{1}{2}[/tex] (you can split it up)

2 + 2 + 2 + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex]

6 + 1[tex]\frac{1}{2}[/tex] = 7[tex]\frac{1}{2}[/tex]


Which equation can be used to find X, the length of the hypotenuse of the right triangle?

Answers

Pythagorean Theorum uses a^2 + b^2 = c^2

In that picture your legs will be 63 and 16 (aka a and b) ,so just input it and you’ll get c^2. In your case it’s x, so it will look like:

ANSWER:
63^2 + 16^2 = x^2
(last answer choice)

50 POINT I NEED HELP BAD

Answers

Answer:

k = 4

Step-by-step explanation:

7k - 6 = 2k + 14

(7k - 2k) - 6 = (2k - 2k) + 14

5k - 6 = 14

5k (- 6 + 6) = 14 + 6

5k = 20

5k/5 = 20/5

k = 4

the answer for this question is 4

Once again, consider the data for Fred's caloric intake. 2000 2200 2100 2400 2500 1900 2200 2200 2700 2600 Find the : (enter your answers as numbers) Sample standard deviation (rounded to the nearest hundredth)

Answers

Answer:

The sample standard deviation is of 248.19.

Step-by-step explanation:

First we find the sample mean, which is needed to find the sample standard deviation.

Sample mean:

Sum of all values in the sample, divided by the number of values. So

[tex]M = \frac{2000+2200+2100+2400+2500+1900+2200+2200+2700+2600}{10} = 2280[/tex]

Sample standard deviation:

Square root of the sum of the difference squared between each value and the mean, divided by the number of values. So:

[tex]S = \sqrt{\frac{(2000-2280)^2+(2200-2280)^2+(2100-2280)^2+(2400-2280)^2+(2500-2280)^2+(1900-2280)^2+...}{10}} = 248.19[/tex]

The sample standard deviation is of 248.19.

Please answer both!!

Answers

27. 9x^2-24x+16=0
(3x-4)^2=0
3x-4=0
3x=4
x=4/3


28. 9x^2-30x+26=1

9x^2-30x+26-1=0

9x^2-30x+25=0
(3x-5)^2=0
3x-5=0
3x=5
x=5/3

10+4y=20
Help me and out the steps in please

Answers

Answer: 10+4y=20

4y= 10

y= 10/4

y= 5/2

Step-by-step explanation: above

Can someone help me or explain how to find the missing value from the simple interest?

Answers

This is the working and answers

Directions: Solve for the surface area of the following figures using the formula.

no links pls. i really need it T-T​

Answers

Answer:

3^3 x 3.14

9 x 3.14 = 28.26

28.26  x 2 = 56.52

2 x 3.14 x 3 = 18.84

18.84 x 10 = 188.4

Now lets add all given areas:

56.52 + 188.4 = 244.92 m^2 for question 1

4 x 3.14 x 12^2

4 x 3.14 x 144 = 1,808.64 cm^2 is your answer for question 2

14^2 x 3.14

196 x 3.14 = 615.44

3.14 x 14 x 33 = 1450.68

1450.68 + 615.44 = 2,066.12 cm^2 is your answer for question 3 I think

- Solve the equation 3 + n = 12​

Answers

Answer:

n = 9

Step-by-step explanation:

Method 1(Algebra) :

3 + n = 12

3 - 3 + n = 12 - 3

n = 9

Method 2:

3 + n = 12

Move 3 to the other side of the equation.

n = 12 - 3

n = 9

A recent survey showed that 23.3 million adults have cut the cord on cable TV services, a 30% increase fron the previous year. If this trend continues, how many millions if adults can be expected to cut the cord next year?​

Answers

Answer:

30,290,000 people

Step-by-step explanation:

The question is asking if the trend continues from the PREVIOUS year, so we would find the 30% of 23,300,000

23,300,000/100 = 233,000 = 1%

233,000 x 30 = 6,990,000

23,300,000 = 6,990,000 = 30,290,000

mrs. freeman is paying for a $20 meal. she has a 15% off coupon for the meal. after the discount , a 7% sales tax is applied.

what does mrs freeman pay for the meal

Answers

Answer:

Lin's father pay for the meal is $18.19

Step-by-step explanation:

Given:

Lin’s father is paying for a $20 meal.

He has a 15%-off coupon for the meal.

After the discount, a 7% sales tax is applied.

Now, to get the amount Lin's father pay for meal.

So, we deduct the 15% discount first:

$20 - 15% of $20.

Then, adding 7% sales tax:

$17 + 7% of $17

Therefore, Lin's father pay for the meal is $18.19.

out of 20 consecuative whole number two are chsen at random.then the probability that ther?​

Answers

Answer:

2/20

Step-by-step explanation:

since,there are 20 whole number and if u put 2 random number the,

probability(P)=favorable outcome/possible outcome

so p=2/20

Thank You

If right I’ll mark brainiest if u have questions put it in the comments

Answers

Answer:

6

Step-by-step explanation:

The interquartile range is calculated by subtracting the first quartile from the third quartile. Box and whisker plots make it pretty easy to find the quartiles. The first quartile is the point where the box starts, and the third is where the box ends. The second is the median/line in the middle of the box.

So for that first box plot on the top, the first quartile is 7, because that's where the box begins. The third quartile is 22 because it's where the box ends.

For the second one, the first quartile is 8 and the third is 17.

To find the interquartile range of each, subtract the first quartile from the third. 22-7 = 15 and 17-8 = 9.

Now to find the difference in the interquartile ranges, subtract 9 from 15. You get 6, so that is the answer :)

What type of angle measures 40 degrees
?

Answers

Answer: An acute angle

Step-by-step explanation: An acute angle is an angle that measures 89 degrees or less (Less than 90 degrees). Another way to define acute angles is any angle that is smaller than a right angle.

Acute angle hope this helps

The area of a rectangle is 77ft, and the length of the rectangle is 3 more than twice the width. Find the dimensions of the rectangle.

Answers

Answer:

W = 11/2, L = 14 sq ft

Step-by-step explanation:

Area = 77ft

L = length, W = width

L = 3 + 2W

L * W = 77

Plug W in to find the L

HELP!! 10 MIN REMAINING.
How can scientists use a seismograph to determine the density and depth of earths layers.

Answers

Answer:

Scientists can tell by observing the seismic waves that are recorded all over the surface of the earth from distant earthquakes. The seismic waves are reflected (bounced off) layers of different density, and they are refracted (bent) when they enter layers of different density.

Answer:

here now you can give her brainliest

Step-by-step explanation:

PLZ HELP I WILL MARK BRAINIEST (26+4) divided by 6 = w

Answers

Answer:

w = 5

Step-by-step explanation:

(26+4)=30, and 30/6=5, therefore, w = 5.

so (26+4) = 30

and 30/6=5

so the answer is w=5

Wavelength and Frequency

A chord consists of notes that sound good together. the C major chord, starting at middle C, has the following frequencies:

C - 262 Hz
E - 330 Hz
G - 392 Hz

Determine the ratio of the frequency of G to C. Express the answer in a simple integer ratio. (Due to rounding the ratio will be approximate. )

a. 5 to 4
b. 3 to 2
c. 6 to 5
d. 9 to 8

Please select the best answer from choices provided

Answers

Answer:

B. 3 to 2

Step-by-step explanation:

I calculated it logically

The ratio of the frequency of G to C is 1.5. So, option b is correct.

What is meant by frequency ?

Frequency of a wave is defined as the number of oscillations completed by the wave in one second.

Here,

The frequency of note G, f(G) = 392 Hz

The frequency of note C, f(C) = 262 Hz

The ratio of the frequency of G to C, r = frequency of G/frequency of C

r = f(G)/f(C)

r = 392/262

r = 1.496 approximately r = 1.5

Hence,

The ratio of the frequency of G to C is 1.5

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