Suppose you always eat a particular brand of cookies out of the standard sized package it comes in from the store. You notice that when you eat 3 at a time, there's always 1 cookie left over. You decide when you purchase the next package, you'll eat 5 at a time, but still, there's always 1 cookie left over. Since it really isn't helpful to always have a leftover cookie, you decide to eat 7 at a time, and there are no cookies leftover. If you know there are less than 100 cookies in the package, how many cookies are there?

Answers

Answer 1

Answer:

There are 91 cookies in the package of cookies

Step-by-step explanation:

The given parameter for the number of cookies are;

The number of cookies left when eating 3 at a time = 1 cookie

The number of cookies left when eating 5 at a time = 1 cookie

The number of cookies left when eating 7 cookies at a time = No cookie leftover

Let 'n' represent the number of cookies in the pack, let 'a', 'b', and 'c' be the multiples of 3s, 5s, and 7s in 'n', respectively, we have;

The number of cookies in the pack, n < 100

Therefore, we have;

3·a = n - 1

5·b = n - 1

7·c = n

∴ n - 1 is a multiples of 3 and 5 less than 100 which are;

15, 30, 45, 60, 75, and 90

Therefore, the possible values of 'n' are'

n = n - 1 + 1 = 15 + 1 = 16, 30 + 1 = 31, 45 + 1 = 46, 60 + 1 = 61, 75 + 1 = 75, 90 + 1 = 91

Multiples of 7 includes;

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98

Therefore, n = 91 which is the number that appear simultaneously in both search

The number of cookies in a package = 91 cookies


Related Questions

4
Eli's family is going to have
a big go-cart race and each
go-cart takes 3- gallon of
-
gas. If there are 7 go-carts,
how many total gallons of
gas do they need to fill up
all the go-carts?

Answers

Answer:

21 gallons

Step-by-step explanation:

You multiply the amount of go-carts(7) by the amount of gas each go-cart takes(3 gallons.) You get 21 gallons for all the go-carts.

write the linear equation in slope-intercept from the information given
point (2,-4)
slope= -3

Answers

Answer:

y=-3x+2

Step-by-step explanation:

y-y1=m(x-x1)

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

y+4=-3x+6

y=-3x+6-4

y=-3x+2

Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?

Answers

Answer:

2/3

Step-by-step explanation:

Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?

1 decametre = 10 metres

Hence,

10 meters = 6 pieces of ribbon

1 meter = x pieces

Cross Multiply

10x = 6

x = 6/10

x = 2/3 (1 meter pieces of ribbon)

4x + y = 7 and passes through the point (1, 8)?

Plz hurry!!!!!!!

Answers

The answer is in this file .ddd.guy.answer

if 1/4x +2y= 11/4
and - 6y - x = 7, what is
half of y?

Answers

Answer:

y/2 = 4.5

Step-by-step explanation:

1/4x + 2y = 11/4

distribute by 4 to eliminate fractions

  x + 8y = 11

+ -x - 6y = 7

        2y = 18

          y = 9

half of 9 = 4 1/2

Jenna bought enough lattes for all her friends. Each latte was $3.50
and she gave the barista a $20 bill, who then gave her back $2.50
in change. Write an equation modeling this, with x as the cost per late
How many lattes did she buy?

Answers

Answer: 5 lattes

Step-by-step explanation: Our equation is 20 − 3.5x = 2.5, which means x = 5 lattes.

Answer:

Step-by-step explanation:

y=3.5x (cost function where y is cost and x is the number of lattes)

20-2.5=3.5x

17.5=3.5x

5=x

So she bought 5 lattes.

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

I would be led to believe it was c if you still need help

When doing decimals, what does a dot over a number mean? For example, take 24.671, but theres a small dot over the numbers 6 and 1. What do I do and what does it mean?

Answers

Step-by-step explanation:

The dot is called a decimal point. It is also called the decimal separator. It separates whole numbers from fractional numbers.

In this example;

24.671

The numbers before the point, 24 is the whole number

The numbers after the point, 671 are the fractional portion of the number. They represent 6 tenths, 7 hundredths and 1 thousandths.

Also, the number of digits after the point tells you how many decimal place the number is in. In this example the number of decimal places is 3.

Eighth grade
What is the surface area?
1 m
1 m
1 m
square meters

Answers

Answer:

If those are the dimensions the surface area is 6 meters

Step-by-step explanation:

cubes have six sides and each side is one unit

Help ur gurl out.




Lol

Answers

Explanation:

4²+4²≠8²

(4+4)²=8²

If you use PEMDAS you can find that 4²+4²=32 not 8² which equals 64

You can also find that (4+4)²=(8)²

∠1 and ∠2 are complementary angles. If ∠1 measures 35º, what is the measure of ∠2?​

Answers

Answer:

55 degrees

Step-by-step explanation:

Complementary angles are two angles that equal 90 degrees together so if one angle is 35 degrees then the other must be able to add towards that to make 90 degrees

90=35+∠2

-35     -35

55=∠2

Identify the correct equation for the graph below.

Answers

The answer is C. The y-intercept is at -3 and the slope is positive which means it has to be y = 1/2x - 3

Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.


Help please Asap!!!

Answers

Answer:

4 cm, if you subtract 9 from 13 you get four.

Please no more cap answers, actually need help

Answers

Answer:

[tex]\sqrt{8x^{2} }[/tex]+5-3 = 8.12

8.12 rounded to nears whole number is 8

therefore 8.12 rounded down to three decimal places is 8.1

Therefore your answer would be 8.1

If it wont let you add a decimal your answer would also be 8

Question 8 (4 points)
What is the area of the figure?
10 in
19 in
11 in.
17 in.
A. 223 in 2
B. 277 in 2
C. 267 in 2
D. 110 in 2

Answers

The area of the figure is A. 223 in 2 I did that question yesterday hahah what grade are you in?

please tell me answers I am given you brainliest ​

Answers

What the question? Am I suppose to find an angle or what?

Answer:

what is the question or whatever

I need help with these three equations
3x - 2 = x + 10
X+4=19-2x
8z - 20 =z +15

Answers

Answer:

1st answer is 6, 2nd is 5, 3rd is 5

Step-by-step explanation:

3x-2=x+10

3x-x=10+2

2x=12

x=12÷2

x=6

x+4=19-2x

x+2x=19-4

3x=15

x=15÷3

x=5

8z-20=z+15

8z-z=15+20

7z=35

z=35÷7

z=5

plzz mark me as brainliest

Answer:

3x-2=x+10

x=6

x+4=19-2x

x=5

8z-20=z+15

z=5

Step-by-step explanation:

3x-2=x+10

+2 on both sides

3x-2(+2)=x+10(+2)  =>  3x=x+12

subtract x on both sides

3x(-x)=x(-x)+12   =>  2x=12

divide 2 on both sides

2x/2=12/2

= x=6

x+4=19-2x

subtract 4 on both sides

x+4(-4)=19(-4)-2x    =>    x=15-2x

add 2x on both sides    

x(+2x)=15-2x(+2x)     =>    3x=15

divide 3 on both sides

3x/3=15/3

= x=5

8z-20=z+15

subtract z on both sides

8z(-z)-20=z(-z)+15    =>  7z-20=15

add 20 on both sides

7z-20(+20)=15(+20)

7z=35

divide 7 on both sides

7z/7=35/7

= z=5

5x + 3y = -15 + y= 2/3x + 9

Answers

-(189/19, 330/19) let me know if you would like an explanation! if i’m wrong please let me know!

solve for x: tan(180-ø).tan(90+ø)+xcos(90+ø).(cos90-ø) =sinø.(sin180-ø) ​

Answers

Is there a picture that I’m able to look at??

Answer:

Below.

Step-by-step explanation:

tan(180-ø).tan(90+ø)+xcos(90+ø).(cos90-ø) = sinø(sin180-ø)

xcos(90+ø).(cos90-ø) =  sinø(sin180-ø) -  tan(180-ø).tan(90+ø)

x =  (sinø(sin180-ø) -  tan(180-ø).tan(90+ø)) / cos(90+ø).(cos90-ø)

x = - (sin^2ø + tanø(tan(90+ø)) / cos^2ø

Mis. Jackson wants to rent a van for a week it will cost a weekly fee plus 0.20 per mile driven let m equal the number of miles Ms. Jackson drives during the week write an algebraic expression that shows a month rent Jackson will pay for the van for the week

Answers

Complete Question

Mis. Jackson wants to rent a van for a week it will cost a weekly fee plus 0.20 per mile driven let m equal the number of miles Ms. Jackson drives during the week write an algebraic expression that shows a week rent Jackson will pay for the van for the week

Answer:

A = w + 0.20m

Step-by-step explanation:

Step 1

We find the equation for the total amount spent in a week

The total amount to rent the van in a week = A

Weekly fee = w

Number of miles = m

Therefore, thw algebraic expression that shows a week rent Jackson will pay for the van for the week is

A = w + 0.20m

EMERGENCY PLEASE HELP!!

Use properties of equality to isolate y.

x + y = 10

y = ?

Answers


10 - x

I think. As you are looking for y so you take away 10 from as to get your answer of y

Answer:

x+y=10

y=10-x

To  isolate y, you subtract x on both sides.

Let me know if this helps!

I need help on this question please

Answers

Answer: should be 54m but im not 100% sure if its not right lmk

Step-by-step explanation:

Help meeeeeeeeeeeeeee

Answers

Answer:

C find ur x value by solving the simultaneous equations

Answer:

-2

Step-by-step explanation:

6x+4y=-14. X=-2y+7

—————

3

identify the zeros of each function please

Answers

Answer:

6 zeros in total

Step-by-step explanation:

Answer:29. (-5,0) 30. (-1,0) (3,0) 31. (0,0) (2,0) (8,0)

Step-by-step explanation:

Find the points that lie on the x axis

Classify △ABC
Choose 2 answers:

(Choice A)
A
Equilateral triangle

(Choice B)
B
Isosceles triangle

(Choice C)
C
Right triangle

(Choice D, Checked)
D
Acute triangle

(Choice E)
E
Scalene triangle

(Choice F)
F
Obtuse triangle

Answers

Answer:

b and d

Step-by-step explanation:

• Exprimer l'aire A de la partie colorée de la figure ci-
dessous en fonction de x. Donner le résultat sous
forme simplifiée en écrivant les détails.
• Calculer A pour x = 3 et x = 2.

Answers

Answer:

10

Step-by-step explanation:

by dojng lenght into breadth

9 m
3 m
3 m
What is the area, in square meters, of the shaded region in the diagram?

Answers

Answer:

Notice that the side length of the square is  38 m.

area of square  =  (side length)2  =  (38 m)2   =   1444 m2

Notice that the diameter of the circle is  38 m .

And its radius  =  diameter / 2   =   38m / 2   =   19 m

area of circle  =  pi * radius2  =  pi * (19m)2  =  pi * 361 m2   ≈   1133.54 m2

So......

area of shaded region  =  area of square - area of circle

area of shaded region  ≈       1444 m2     -  1133.54 m2

area of shaded region  ≈    310.46 m2

Step-by-step explanation:

Notice that the side length of the square is  38 m.

area of square  =  (side length)2  =  (38 m)2   =   1444 m2

Notice that the diameter of the circle is  38 m .

And its radius  =  diameter / 2   =   38m / 2   =   19 m

area of circle  =  pi * radius2  =  pi * (19m)2  =  pi * 361 m2   ≈   1133.54 m2

So......

area of shaded region  =  area of square - area of circle

area of shaded region  ≈       1444 m2     -  1133.54 m2

area of shaded region  ≈    310.46 m2

A circle has a mass of 3 grams and a square has a
mass of 2 grams.
What is the mass of a triangle?
an
grams
A.
B. 3 grams
C. 3 grams
D. 11 grams

Answers

3 grams is the answer hope it’s help

Write two division equations for each multiplication equation. 15⋅25=6 15 ⋅ 2 5 = 6 6⋅43=8 6 ⋅ 4 3 = 8 16⋅78=14

Answers

Answer:

[tex](a)[/tex] [tex]\frac{30}{5} = 6[/tex] and [tex]\frac{60}{10} = 6[/tex]

[tex](b)[/tex] [tex]\frac{24}{3} = 8[/tex] and [tex]\frac{96}{12} = 8[/tex]

[tex](c)[/tex] [tex]\frac{112}{8} = 14[/tex] and [tex]\frac{28}{2} = 14[/tex]

Step-by-step explanation:

Given

[tex](a)\ 15 * \frac{2}{5} = 6[/tex]

[tex](b)\ 6 * \frac{4}{3} = 8[/tex]

[tex](c)\ 16 * \frac{7}{8} = 14[/tex]

Required

Write 2 division equations

[tex](a)\ 15 * \frac{2}{5} = 6[/tex]

Express 15 as 15/1

[tex]\frac{15}{1} * \frac{2}{5} = 6[/tex]

Multiply numerator and denominator

[tex]\frac{30}{5} = 6[/tex] --- This is (1)

Multiply the fraction by a common term (e.g. 2)

So, we have:

[tex]\frac{30*2}{5*2} = 6[/tex]

[tex]\frac{60}{10} = 6[/tex] ---- (2)

[tex](b)\ 6 * \frac{4}{3} = 8[/tex]

Express 6 as 6/1

[tex]\frac{6}{1} * \frac{4}{3} = 8[/tex]

Multiply numerator and denominator

[tex]\frac{24}{3} = 8[/tex] --- This is (1)

Multiply the fraction by a common term (e.g. 4)

So, we have:

[tex]\frac{24*4}{3*4} = 8[/tex]

[tex]\frac{96}{12} = 8[/tex] ---- (2)

[tex](c)\ 16 * \frac{7}{8} = 14[/tex]

Express 16 as 16/1

[tex]\frac{16}{1} * \frac{7}{8} = 14[/tex]

Multiply

[tex]\frac{112}{8} = 14[/tex] ---- This is (1)

Divide the fraction by a common term (e.g. 4)

[tex]\frac{112/4}{8/4} = 14[/tex]

[tex]\frac{28}{2} = 14[/tex]

g(x)=-(x+1)(r-1)(-4)
In standard form?? Please help!

Answers

Answer:

g(x) = 4rx + 4r - 4x - 4

Step-by-step explanation:

g(x)= -(x+1)(r-1)(-4)

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