Sally picks seashells by the seashore. She lost 17 of them on her way home
With the remaining seashells, she planned to fill 5 jars with the same
number of seashells in each How many seashells did Sally originally pick?
a. You do not have enough information to solve this problem. The number
of seashells in each jar is the same as the number portion of her street
address, which is a 2-digit number. The first digit is 5. The last digit is
9 less than 3 times the first digit. How many seashells did Sally plan to
put in each jar?
b. By working backwards, determine how many seashells Sally originally
picked
C. The 5 jars that Sally chose would not each hold that many seashells In
her search for a 6th jar, she discovered a few seashells in her pocket
What are possible values for the number of seashells in each of the
6 jars and the number of seashells discovered in her pocket, such that
there are no seashells left over
(I need this ASAP! Thanks in advance!)
P.S. A step by step explanation would be really helpful ☺️

Answers

Answer 1

Answer:

  a) 56 shells in each jar

  b) 297 shells were picked

  c) 2, 8, 14, 20, ... shells were discovered (=2+6n); 47, 48, 49, 50, ... shells in each jar (=47+n); for n=0, 1, 2, 3, ...

Step-by-step explanation:

a)

The first digit is given as 5. The second is 9 less than 3 times 5, so is

  3×5 -9 = 15 -9 = 6

The 2-digit number that is Sally's house address is 56.

Sally originally planned to put 56 shells in each jar.

__

b)

If each of the 5 jars has 56 shells, and Sally collected 17 more than that, she originally picked ...

  5×56 +17 = 280 +17 = 297

Sally originally picked 297 shells.

__

c)

We saw that the number of shells to go into jars is 280. That will fill 6 jars with ...

  280/6 = 46 4/6 . . . . shells in each jar

That is, Sally can fill 6 jars with 46 shells each, and have 4 shells left over. The number of additional shells to put the same number in each jar will be a number that makes a multiple of 6 when 4 is added to it. Already we know that adding 2 shells will bring the total to 6 "extra", so will allow 1 more shell to be added to each of the 6 jars.

  additional shells = 2 +6n . . . . . . for some whole number n

  number in each jar = 47 +n . . . . . for the same whole number n

Sally could have discovered, 2, 8, 14, ... shells in her pocket.


Related Questions

A letter is chosen at random from the word ‘probability’. What is the chance that the letter is not the letter ‘y’ ?

Answers

Answer:

10/11

Step-by-step explanation:

11 letters are in the word probability, subtract one for the letter y.

Part/Whole

10/11

Kayden Kohl

8th Grade Student

help me due before 6:42 pm i don't even know what im supposed to do so help me please i beg you worth 50 points!!!!!!

Answers

Answer:

There should be points that you need to plot onto this graph, look around the paper you were given for them

Step-by-step explanation:

When graphing the following equation on a coordinate plane, it will NOT pass through the origin (0, 0). Is this statement true or false? Equation: y = -2x

Answers

Answer:

false

Step-by-step explanation:

I just did the test myself and got 100 :)

85 cm is shared in the ratio 12 : 5
What is the smaller share?

Answers

Answer:

may it helpful for you

Step-by-step explanation:

mark me as brainlist

Answer:

  25 cm

Step-by-step explanation:

The total of ratio units is 12+5 = 17. Then each one represents 85 cm/17 = 5 cm.

The shares are ...

  12 : 5 = 12(5 cm) : 5(5 cm) = 60 cm : 25 cm

The smaller share is 25 cm.

_____

The larger share is 60 cm.

Please help for 15 points...............................

Answers

Answer:

-4

Step-by-step explanation:

When x increased by 1 units, y has decreased by 4 units. So it's -4.

Or if we use y1-y2/x1-x2

= 17 - (-3) / -2-3 = (17+3)/-5

20/-5 = -4

Answer:

-4

pick two points and divide the difference of the y coordinates by the difference of the x coordinates so:

(17-13)/(-2-(-1)) = 4/(-1) = -4

Use the distributive property to to rewrite the expression 6(2.7-x)

Answers

Answer:

16.2-6x

Step-by-step explanation:

There where four times as many trucks as vans. What is the ratio of the statements could compare the number of trucks to vans .

Answers

Answer:

4:1

Step-by-step explanation:

4 trucks for 1 van

State if the two triangles are congruent

Answers

Answer:

Yes by ASA (angle side angle)

Step-by-step explanation:

Answer:

Yes by ASA criterion which means if two triangles are congruent any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.

Step-by-step explanation:

Hope it Helps you!!

Could you please help me with these angles

Answers

Answer:

The first set of questions

a.     Supplementary Angles

b.     They are equal Supplementary angles

c.     40 degrees

The second set of questions

a.     Corresponding Angles

They are equal Supplementary angles

b.     Angle A: 46 degrees

       Angle B: 134 degrees

       Angle C: 134 degrees

       Angle D: 46 degrees

       Angle E: 46 degrees

       Angle F: 91 degrees

       Angle G: 46 degrees

Matt is planning his spring flower garden. He wants to plant tulip and daffodil bulbs. He will plant 8 times as many daffodil bulbs as tulip bulbs. If he wants to plant 270 bulbs, how many tulip bulbs and how many daffodil bulbs should he plant?

Answers

divide 270 and 9- and you will get thirty. there are going to be 30 tulip bulbs and 240 daffodil bulbs.
(D)affodil = 240
(T)ulip = 30

D = 8 x T
D + T = 270

8T + T = 270
9T = 270
270 divided by 9 = 30
T = 30
30 x 8 = 240
D = 240

(Add to check, 30 + 240 = 270


In the diagram, AABC = AWRS. What is the
perimeter of AWRS?

10 units
11 units
12 units
13 units

Answers

Answer:

12 units

Step-by-step explanation:

Both triangles have the same perimeter, so we can figure out 1 and have the answer for both.

The legs of triangle AABC are 3 and 4, so we can use the Pythagorean Theorem to figure out the other side.

3² + 4² =

9 + 16 = 25

√25 = 5

To find the perimeter, just add the three sides.

3 + 4 + 5 = 12 units

The perimeter of the triangle WRS is 12 units, Option C is correct.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

As we observe the two triangles ABC and WRS

The given triangles are similar triangles.

So if we find the perimeter of any triangle then it will be equal to other triangle.

From the triangle ABC

AB =3 units

BC =4 units

By pythagoras theorem let us find AC

AB²+BC²=AC²

3²+4²=AC²

9+16=AC²
25=AC²

Take square root on both sides

AC=5 units

To find the perimeter we need to add the three sides.

3 + 4 + 5 = 12 units

Hence, the perimeter of the triangle WRS is 12 units, Option C is correct.

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A repeated-measures design would be appropriate for which of the following situations?

A researcher would like to study the effect of advanced training on sales figures.

A researcher would like to compare individuals from at least two populations.

The effect of a new initiative is studied in a small group of individuals with rare skills.

None of these situations


Which of the following is an independent-measures design?

Different participants perform in each condition.

Each participant is tested twice, once in each condition.

All participants perform in every condition.

None of these situations

Answers

The design of the experiment is an indication of the allocation of the

participants in the experiment to different groups.

The responses are;

First Part: A repeated-measures design is appropriate for; A researcher would like to study the effect of advanced training on sales figures.

Second Part: An independent-measures design is one in which; Different participants perform in each condition.

Reasons:

First Part:

A repeated-measures design is a testing procedure used during an

investigation that makes use of the same group or sample set, but taking

measurement of the members of the set under two different conditions or

at two different times.

Therefore;

A repeated-measures design would be appropriate in the situation where; A researcher would like to study the effect of advanced training on sales figures.

Second Part:

An independent-measures design is one that compares the properties

within two samples, such that the information in the population is not

required. It is a between-groups design, such that different participants

are used for the different conditions of the independent variable.

Therefore;

The option that is an independent-measures design is; Different participants perform in each condition.

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what is the apsolute value of -1/4

Answers

Answer:

|.25|

Step-by-step explanation:

Answer:

-1 / 4 = 0.25

Step-by-step explanation:

PLEASE HELP MEEE
12+3/5x - 4=29

SHOW THE STEPS OR TELL HOW YOU DID IT!!!

Answers

steps are in photo..........

Answer is x= 35

12 + 3/5x - 4 = 29

Combine like terms
12+(-4) + 3/5x = 29
8 + 3/5x = 29

Get rid of you fraction by multiplying by 5 on both sides
8(5) + 3/5x (5) = 29(5)
40 + 3x = 145

Subtract 40 from each side to isolate the variable
40-40 + 3x = 145 - 40
3x = 105

Divide by 3 on both sides
3x / 3 = 105 / 3
x = 35

And done

x=35

Identify the method that will be used to solve for x for each equation.
4x = 20
X - 11 = 9
5x + 6x = 22
5 (x - 2) = 30​

Answers

Answer:

Identify the method that will be used to solve for x for each equation.

4x = 20

✔ division property of equality

x – 11 = 9

✔ addition property of equality

5x + 6x = 22

✔ combining like terms

5(x – 2) = 30

✔ distributive property

Step-by-step explanation:

easy problem for points

Answers

Answer:

0.5294117647

Step-by-step explanation:

Answer:

52.94117647 %

0.52941176

Step-by-step explanation:

b2 + 3 + 2b2 + 4-7
Combine like terms

Answers

Answer:

3b^2

Step-by-step explanation:

Add the numbers

^2 + 3 + 2^2 + 4 − 7

b^2 + 0 + 2b^2

Add the zero

b^2 + 2b^2

Combine like terms

3b^2

PLZZZ HURRYYY ILL GIVE YOU BRAINIEST


What are the x-intercepts?


Answers

Answer:

The x-intercepts are 0, 1, 2, 2.2

Step-by-step explanation:

Hope this helps if it answers your question

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2. Find the distance between (2,-5) and (-3, 4).

Answers

The distance between those ordered pairs are 2√1

Answer:

this is the correct answer happy

There are 25 students in a class. 20% of the the students are in a club. How many students are in a club​

Answers

Answer:

5 students

Step-by-step explanation:

The total no. of students in the class is 25=100%

20% of this 25 students are in a club;

Therefore, 25 = 100%

? = 20%

=(20×25)/100

=5 students.

Answer:

5

Step-by-step explanation:

The total number of students = 25 and 20% out of them are in a club

to find what 20% of 25 makes we multiply 25 with 20 and divide the result with 100

25*20/100 = 5 of them are in a club

Bubba’s car needed work. The mechanic charged him $160 for parts plus $38 per hour for labor. If the bill totaled $300, how many hours of labor were required.

Answers

Answer:

3.7 hours

Step-by-step explanation:

h = hours in labor

t = total money

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

160 + 38h = t

160 + 38h = 300

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

Solve:

160 + 38h = 300

38h = 140

h = 3.68421052632

h = 3.7

Pls someone help me this equation

Answers

9514 1404 393

Answer:

  y = x +6

Step-by-step explanation:

The line rises 1 unit for each 1 unit it goes to the right. The slope is ...

  m = rise/run = 1/1 = 1

The line intersects the y-axis at y=6, so the y-intercept is ...

  b = 6

The slope-intercept form of the equation of a line is ...

  y = mx +b . . . . for slope m and y-intercept b. We have m=1, b=6.

  y = x +6 . . . . . the equation of the line on the graph

Solve by using the steps found in this section. Write your answer in exact, simplified form.
y varies inversely as z. If y is 5 when z is 27, find y when z is 54.

Help pls

Answers

Answer:

y = 2.5

Step-by-step explanation:

y varies inversely as z:

y = k/z, where k is coefficient of variation

If z is 27, then y is 5, find k:

5 = k/27k = 5*27k = 135

Find y when z is 54:

y = 135/54y = 2.5

Hi if anyone could help I would very much appreciate it thx ,Enter values to write the function that matches the graph shown.

Answers

Answer:

v(x) = (2x+8)(-2x+-2)

Step-by-step explanation:

Graph the equation and the functions will be the same.

Answer:

See below

Step-by-step explanation:

We can observe that:

The x- intercepts are - 4 and  - 1The y- intercept is - 16Graph opens down, the leading coefficient is negative

According to observations, the function is:

f(x) = a(x - (-4))(x - (-1)) = a(x + 4)(x + 1)

Find the value of a, using the y - intercept:

- 16 = a(0 + 4)(0 + 1)- 16 = 4aa = -16/4a = - 4

The function is:

f(x) = - 4(x + 4)(x + 1)

In standard form it is:

f(x) = - 4(x² + 5x + 4) = - 4x² - 20x - 16

For the function y=x+1 what is the range if the domain is 0,1,2

Answers

Step-by-step explanation:

the domain is the interval or set of the valid values of x.

the range is the interval or set of the valid values of y.

the domain here is 0, 1 and 2.

to find the range we just have to try all 3 values of x and check the results :

x = 0

y = 0 + 1 = 1

x = 1

y = 1 + 1 = 2

x = 2

y = 2 + 1 = 3

so, the range is 1, 2, 3

1. what is the difference when (-6) is subtracted from (-3)?
Please give solutions

Answers

Answer:

(-3) - (-6) = -3+6 = 6-3 = 3

Step-by-step explanation:

Step-by-step explanation:

= -6 - (-3)

= -6 + 3

= -3

-6 change into -3

Han's cell phone plan costs $200 to start. Then, there is a $50 charge each month.

What is the total cost (start up fee and monthly charge) to use the cell phone plan for 1 month?

Answers

Answer:

10,000 hope this helps sorry if it doesn't

Six less than two times a number is 16 translate and solve

Answers

Answer:

11

Step-by-step explanation:

Six less than two times a number is 16 translate and solve → 2x-6=16

then you just solve like a normal equation

16 + 6 = 22

22 [tex]\div[/tex] 2 = 11

so six less than two times eleven is 16

hope this helps:)

Answer:

The answer is 11.

Step-by-step explanation:

Good luck

Compute the probability of drawing two clubs from a standard deck of 52 cards. Round your answer to four decimal places. Answer: Compute the probability of drawing two face cards from a standard deck of 52 cards. Round your answer to four decimal places. Answer: Compute the probability of drawing two aces from a standard deck of 52 cards. Round your answer to four decimal places. Answer:

Answers

It’s 110 because you add two 52

The 0.0588 = 5.88% probability of drawing two clubs from a standard deck of 52 cards.

0.0498 = 4.98% probability of drawing two faces from a standard deck of 52 cards.

0.0045 = 0.45% probability of drawing two aces from a standard deck of 52 cards

What is the probability?

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

We know standard deck has 52 cards.

And 13 cards are for clubs.

(a).

The probability,

= number of favorable outcomes / number of outcomes

= 13 x 12 / 52 x 51

= 0.0588

0.0588 = 5.88% probability of drawing two clubs from a standard deck of 52 cards.

(b). 12 faces in a deck.

The probability,

= number of favorable outcomes / number of outcomes

= 12 x 11 / 52 x 51

= 0.04977

= 0.0498

0.0498 = 4.98% probability of drawing two faces from a standard deck of 52 cards.

(c). There are 4 aces in the deck.

The probability,

= number of favorable outcomes / number of outcomes

= 4 x 3 / 52 x 51

= 0.0045

0.0045 = 0.45% probability of drawing two aces from a standard deck of 52 cards.

Therefore, the probabilities are 0.0588, 0.0498 and 0.0045.

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Order these numbers from least to greatest.
0.3
0.7
2.3
-0.5
-4.5

Answers

Answer:

Order from Least to Greatest

-4.5 < -0.5 < 0.3 < 0.7 < 2.3

Answer:

-4.5, -0.5, 0.3, 0.7, 2.3

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