The cookies in a jar contain a total of 1000 chocolate chips. All but one of these cookies contains the same number of chips; it contains one more chip than the others. The number of cookies in the jar is between one dozen and three dozen. What is the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip? (Hint: using factorization) (A) 65 (B) 64 (C) 63 (D) 66 (E) 67

Answers

Answer 1

Answer:

65

Step-by-step explanation:

From the given information:

Let consider p to be the total numbers of the cookies

If there are 1000 chocolate chips in the jar;

The number of chocolate chips if we remove one chocolate chips = 1000 -1

= 999

The number of available choco chips on each cookie except for the one having an extra chocolate chip = 999/p

Thus, to achieve a whole number, p is required to be a factor of 999

By factorization of 999, we get:

36 > p > 12;  Thus, the value for "p" lies between 36 and 12, and which must be by 999 is 27

Thus, the number of cookies in the jar "p"= 27

However, the number of chocolate chips on with the extra chocolate chip

= 999/p + 1

= 999/27 + 1

= 37 + 1

= 38

Thus, the sum of the number of cookies in the jar +  the number of chocolate chips on with the extra chocolate chip

= 27 + 38

= 65


Related Questions

mark walked 21,129 feet in one hour. at that speed, how many miles will he walk in 2 hours

Answers

so a mile has 5280 feet.

21,129/5280= 4 mph

multiply

4 x 2 = 8 miles in 2 hours

Answer: 23.129

Step-by-step explanation:

Which is NOT a solution of the inequality 5 - 2x2-3?*
0
2
4
5

Answers

Step-by-step explanation:

*jnnnnnjrjehyehbr6hry FCC hfy TV

x2 - 2xy + y2 when x = 3 and y = 2​

Answers

Answer:

1

Step-by-step explanation:

Substitute 3 for x and 2 for y:

3^2 - 2(3)(2) + 2^2

= 9 - 12 + 4

= 1

3^2−(2)(3)(2)+2^2

3^2−(2)(3)(2)+2^2

= 1

Which expression is equivalent to 4(9k+3)? A) 4(-7k+16k+3) B) 3(9k+4) C) 4(3k+9) D) 9(3k+4)

Answers

Answer:

Option A "4(-7k+16k+3)" would be the appropriate choice.

Step-by-step explanation:

On solving the equation, we get

⇒ [tex]4(-7k+16k+3)[/tex]

On applying BODMAS rule, we get

⇒ [tex]4(9k+3)[/tex]

Therefore,

⇒ [tex]4(9k+3)=4(-7k+16k+3)[/tex]

All other given options are not seems to be the equivalent of the given expression "4(9k+3)". So the above is the right approach.

In this soccer season Emma has scored one more than twice the number of Nikki's goals if Emma has scored 15 goals which equation can be used to find X number of goals

Answers

Answer:

[tex]X = 22[/tex]

Step-by-step explanation:

Given

Represent Emma with E and Nikki with N

From the question, we have that:

[tex]E = 1 + 2N[/tex]

and

[tex]E = 15[/tex]

Required

Determine the X number of goals

Substitute 15 for E in [tex]E = 1 + 2N[/tex]

[tex]15 = 1 + 2N[/tex]

Subtract 1 from both sides

[tex]15 -1 = 1 - 1 + 2N[/tex]

[tex]14 = 2N[/tex]

Divide both sides by 2

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

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

[tex]7 = N[/tex]

[tex]N=7[/tex]

This implies that Nikki scored 7 goals in total

The X number of goals is then calculated as:

[tex]X = N + E[/tex]

[tex]X = 7 + 15[/tex]

[tex]X = 22[/tex]

At a butchers hosp, Hilda bought beef and pork. She left with 18 and 8/25 pounds of meat. Express the number of pounds of pork she bought using a decimal.

I'm not sure if I mis-read or something.. How am I supposed to find the pounds of pork if there isn't any info about how much beef she bought. Am I doing something wrong? If so, what is the answer?

Answers

Answer:

18.32

Step-by-step explanation:

convert the fraction 8/25 to the decimal .32 and add 18

Someone help me with this pleaseeeeee

Answers

Answer:8 an 40 an 2

Step-by-step explanation:

What is 5 + 5 + 5 + 5 + 5 (5 x 4) Easy question so you can get points! Explain and get brainliest!

A) 45
B) 120
C) 100
D) 25

Answers

B) 120 because you follow pemdas which arrives to the answer of 120

Answer:

A) 45

Step-by-step explanation:

BECAUSE 5 + 5 + 5 + 5 + 5 = 25

and 5 x 4 = 20

So, 25 + 20

= 45

Nick is saving up for a laptop. His dad gave him $50 to start a savings account. He earns $9 every hour from his job, which he also saves. Write the equation of a function that can be used to find y, the total Nick has saved after x hours.

fill in the blanks
y =__ x + __

Answers

Y=9x+50



50 is what he dad gave him that doesn’t change, we know he works and earns $9 but we don’t know how many hours

Look at triangle STU:

A right triangle STU is shown with the right angle at T. The length of side ST is labeled as 12 cm and the length of side TU is labeled as 16 cm.
What is the length (in centimeters) of side SU of the triangle? (1 point)

Question 9 options:

1) 20

2) 22

3) 24
Help

4) 28

Answers

Answer:

1) 20

Step-by-step explanation:

I drew a diagram of the triangle described below.

Note that we can use the Pythagorean Theorem, which states a^2 + b^2 = c^2 where a and b are the legs of the triangle and c is the hypotenuse.

We can apply this here. Since ST and TU are the legs and SU is the hypotenuse we can solve for SU:

SU = square root (12^2 + 16^2) = square root (400) = 20

I hope this helps! :)

2 power of 3 x (8 + 4 - 10)

(PEMDAS)

Answers

Answer:

16

Step-by-step explanation:

First do the operations in the parentheses.

8+4-10 = 2

Then do 2^3.

2^3 = 2*2*2 = 8

Then do 8*2

16

Brian agrees to watch his neighbor’s dogs for 7 days. His neighbor provides a 128-ounce bag of dog food. Buster eats 20.5 ounces in 2 days and Roxy eats 22.5 ounces in 3 days. Does Brian have enough food to feed the dogs all 7 days? Explain.

Answers

Answer:

Yes, he has exactly the right amount

Step-by-step explanation:

Buster- 20. 5 = 2 days  20.5+20.5+20.5+10.25= 71.75 for 7 days

Roxy- 22.5= 3 days 22.5+22.5+11.25=56.25 for 7 days

71.75+56.25= 128oz

Brian will have exactly enough food for 7 days

A man bikes at a rate that is 6 miles/hour faster than the rate at which he jogs. After 30 minutes jogging and 90 minutes biking, the man has covered 21 miles. Over what distance was the man jogging?

Answers

Answer:

30

Step-by-step explanation:

i hope this helped and i am pretty sure this is correct!

Look at the subtraction expression below. ( Please. Help. Quick.)
- 1/2 - 1/4
Which number line models this expression?

Answers

Answer:

A.

Step-by-step explanation:

Because they are both subtracting, both lines have to go to the left

Answer:

The answer is A

Step-by-step explanation:

I got a 100 on my test ;)



A gift shop wants to make gift baskets for its regular customers. There are 24 bottles
of shampoo, 36 tubes of hand lotion, and 48 bars of soap. The same number of each
item should be in each basket. What is the greatest number of baskets that can be
made?

Answers

Answer:

Find the biggest # that can divide all 3 #'s, and that's your answer.

Step-by-step explanation:

24 is divisible by:

1, 2, 3, 4, 6, 8, 12, 24

36 is divisible by:

1, 2, 3, 4, 6,  9, 12, 18, 36

48 is divisible by:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The biggest # that can divide all 3 #'s is 12, so the greatest amount of baskets that can be made is 12 baskets.

The formula C=5/9(F−32) can be used to convert temperature from Celsius (C) to Fahrenheit (F). The highest temperature ever recorded in the United States was 134 ∘F in Death Valley on July 10, 1913. What was the temperature that day in Celsius, rounded to the nearest degree?

Answers

Answer:

57 °C.

Step-by-step explanation:

The formula that is used to convert temperature from Celsius (C) to Fahrenheit (F) is given by :

[tex]C=\dfrac{5}{9}(F-32)[/tex] ...(1)

If T = 134° F, we need to convert the temperature in Celsius.

Put F = 134, in equation (1)

[tex]C=\dfrac{5}{9}(134-32)\\\\=\dfrac{5}{9}\times 102\\\\=56.66^{\circ} C\\\\\text{or}\\\\T=57^{\circ} C[/tex]

So, the temperature on that day is 57 °C.

PLEASE HELP ME ASAPP !! I HAVE 10 MINUTES LEFT !! When Erin first planted the cherry tree in her yard, it was 40 feet tall. Now it is 35% taller. How tall is the tree now?

Answers

Answer: 54 feet tall

Step-by-step explanation:

Answer:

it would be 54 feet tall now

Step-by-step explanation

35% of 40 is 14

40+14=54

54 feet

help plz bc idk what to do​

Answers

Answer:

A.) k=0.5

Step-by-step explanation:

If we use the formula given: y=kx, we can plug in values.

0.5=k(1)

0.5=(0.5)(1)

0.5=0.5

We know that to get from 1 to 0.5, we need to divide by two, or multiple by 1/2. 1/2 in decimal form is 0.5

I could use some help on this one! Thanks!

Answers

458
the answer is the last one

Answer:

A.) 458  R2

4 5 8

9 | 4 1 2 4

3 6  

5 2

4 5

7 4

7 2

2

458 with a remainder of 2

first to answer gets brainliest im being nice so what is 2+2 XD

Answers

Answer:

4

Step-by-step explanation:

what else o3o

Answer:

2+2=4

Step-by-step explanation:

tysm!!

Which value of n makes the equation true?
6n - 2[4n + 7) + 4 = -2

Answers

Answer:

-4

Step-by-step explanation:

6n -8n -14 +4 = -2

-2n = 8

n = -4

need answers to this!!

Answers

Answer:

Yes, it's a function!

Step-by-step explanation:

(The domain represents the x-intercept and the range represents the y-intercept)

You can tell this mapping diagram is a function because each x-intercept (input) has only one y-intercept (output.)

3) FUNDRAISING At a fundraising event, $10 is donated for every mile ran.
Write a function to represent the situation. *
A. O d-10m
B. O d= m + 10
C. O d=10m +10
D. O dem

Answers

Answer:

A

step-by-step explanation:

"d" I take it means donations or amount donated so if it's 10 per mile ran or 10m then you would write the equation as d=10m so it's A. Hope You found this helpful :D

A function that represents the situation is d = 10m.

The correct option is A.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

At a fundraising event,

$10 is donated for every mile ran.

Let m be the number of miles.

And d is the total donation.

So, the function,

d = 10m

Therefore, d = 10m is the function.

To learn more about the function;

brainly.com/question/28303908

#SPJ5

The length and width of the rectangle is 60 and 40. If the scale factor is ¼, what are the new measurements?

Answers

Answer:

15 and 10

Step-by-step explanation:

I hope this helps :)

PLEASE HELP whats the answer for this problem

Answers

Answer:

it is 20 me and that other kid did the same thing

Step-by-step explanation:

5x+12 + 3x+8 =180

8x=180-20

8x=160

hope that helps brainly plz

x=20


The equation for line p can be written as y = 1/4x + 3. Line q includes the point (-1, 5) and is
perpendicular to line p. What is the equation of line q?

Answers

Answer:

[tex]y=-4x+1[/tex]

Step-by-step explanation:

To get this, use the following steps:

1) Knowing that line q is perpendicular to the line p, the slope of line q must be the negative reciprocal of the slope of line p. Thus the slope is [tex]-(\frac{1}{4})^{-1} = -4[/tex]

2) To find the equation, plug in the point given:

   [tex]5 = -4(-1) + b[/tex]

   [tex]b = 1[/tex]

3) The equation of line q is thus:

   [tex]y= -4x+1[/tex]

What are the angle measurements in the triangle?

Answers

Answer:

c

Step-by-step explanation:

Pls help me and I’ll give brainliest

Answers

Answer:

-2

Step-by-step explanation:

do you need an walk through?

The Smith family took out a $160,000 loan. After 30 years they had paid a total of 364000. What is the interest rate on the loan? Can someone pls answer this in an hour using the equation Interest= principal x rate x time.

Answers

Answer:

The interest rate is 0.0425%

Step-by-step explanation:

Mathematically;

I = PRT/100

From the question, I in this context is the difference between how much they have paid and the amount borrowed

Mathematically, this is ; 364,000-160,000 = 204,000

This is the interest

R is the rate = ?

T = 30 years

P is the amount borrowed = 160,000

thus, we have

204,000 = (160,000 * R * 30)/100

2040 = 4800000R

R = 2040/4800000

R = 0.000425 which is 0.0425%

4/5 divided by 2/3 PLEASE HELP

Answers

Answer:

6/5

Step-by-step explanation:

4/5 x 3/2 = 12/10 = 6/5

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