Scrat the squirrel has a few nuts. When he put them in groups of 5 nuts, two nuts were left, and
when he laid them out in groups of 3 nuts, there were no nuts left. How many nuts among the
options provided below could belong to Scrat?​

Answers

Answer 1

Answer:

The options are not shown, so i will solve this in a general way.

Let's suppose that there are N nuts

If we divide the N nuts into groups of 5, there will be a remainder of 2 nuts.

If we divide the N nuts into groups of 3, there is no remainder.

This means taht N is a multiple of 3. then we can write:

N = 3*k

where k is a random integer.

Now, we know that when we divide N by 5, there is a remainder of 2 nuts, this means that N is equal to a multiple of 5 plus 2, then we can write:

N = 5*j + 2

where j is a random integer.

Now we only need to find a pair of k and j (both positive integers) such that:

3*k = 5*j + 2

We can rewrite this as:

k = (5/3)*j + (2/3)

Now we could just input different values of j, and see if k is also an integer:

j = 2

k = (5/3)*2 + 2/3 = 10/3 + 2/3 = 12/3 = 4

Then the pair j = 2, k = 4 is a possible solution.

N = 3*k = 3*4 = 12

N = 5*j + 2 = 5*2 + 2 = 12

From this we can conclude that N = 12, so Scrat has 12 nuts.

Now with the equation

k = (5/3)*j + (2/3)

We can find other possible combinations of j and k, that will give different values for N.

for example, if j = 5:

k = (5/3)*5 + 2/3 = 25/3 + 2/3 = 27/3 = 9

Then the pair j = 5, k = 9 is also a possible solution:

N = 3*k = 3*9 =  27

N = 5*j + 2 = 5*5 + 2 = 27

In this case, Scrat has 27 nuts.


Related Questions

What is the value of the expression 9 + ( fraction 1 over 2 )4 ⋅ 48?

Answers

Answer:

105

Step-by-step explanation:

9 + (1/2)4 x 48

9 + 96 = 105

Answer:

105

Step-by-step explanation:

SO, based on the way you worded it, the equation is

[tex]9 + 1/2 *4*48[/tex]

You multiply [tex]1/2 * 4[/tex] first.

This gives you 2.  [tex]2*48=96[/tex]

96 + 9 =105

Sandra is 34 and opened a 30 year term policy. How old will she be when she lose the life insurance policy?

Answers

Answer:64

Step-by-step explanation:

34+30=64

Sandra will be 64 years old when she would lose the life insurance policy.

What is Addition?

Addition, in maths, is a process of combining two or more numbers.

Given that, Sandra is 34 and opened a 30-year term policy,

According to question,

30 + 34 = 64

Hence, Sandra will be 64 years old when she would lose the life insurance policy.

For more references on Addition, click;

https://brainly.com/question/29053821

#SPJ2

2. Beth, Kelly, Andrea, and Amy are all training for the
local marathon.
a. Beth can run 6.5 miles per hour. At this rate, how far will
she run in the first 3 hours of the marathon?

Answers

Answer:

19.5

Step-by-step explanation:

we will multiply the distance 6.5 miles per hour by 3 hours .. thenanswer is 19.5 miles

Paul has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Paul have?

Answers

Answer:

2 tablespoons of salt

Step-by-step explanation:

If 3 teaspoons are equal to 1 tablepoon, we can divide the 6 tablespoons by 3 to get our answer of 2 tablespoons.

(sorry if this is confusing but I hope it helped)

What 12x12 I need help please help me

Answers

Answer:

144

Step-by-step explanation:

-0- Easy :D

2. Find the difference when -4n - 8 is subtracted from 2n + 5

Answers

Answer:

-6n - 13

Step-by-step explanation:

(-4n - 8) - (2n + 5)

Subtract -4n and 2n.

Then Add 8 and 5.

-6n - 13


Use the rules of transformations to compare the graphs of the functions, f(x) =1/x
and g(x) =5/x-1
following options represents the asymptotes of the functions, f(x) and g(x) Select all that apply.
y= -1
y=0
x=-1
y=1
X= 2

Answers

Answer:

first and second

Step-by-step explanation:

asymptote of 1/x is y= 0 and x=0 (buut x=0 isn't on here)

asymptote of 5/x-1 is the same as 1/x-1, so y = -1 and x= 0

you can graph it on desmos

667676767667676767676766676767676766767676766776767676767676767676767676767676767676 x 6676767676766767676767676767676767676767676767676767676767676767676676767676767676767

Answers

Answer:

y^6

hope it helps you

Step-by-step explanation:

brainliest plus

What is the answer to this?

Answers

[tex]\huge\bold\purple{2/3:}[/tex]

Solve the equation. m + (–4) = –9 5 36 –5 –13

Answers

4m + 9 + 5m – 12 = 42. A. m = 5 B. m = 4 C. m = –5 D. m = -4

Find the unknown angle measure by solving for the given variable.

Supplementary angles​

Answers

Step-by-step explanation:

Given that,

∠PSQ = 13x+7

∠QSR = 42x+8

We need to find the measure of angles.

We can use the property of linear pair. ATQ,

13x+7 + 42x+8 = 180 (Linear pair)

Taking like terms,

13x+42x = 180 - 7-8

55x = 165

x = 3

So,

∠PSQ = 13x+7 = 13(3) + 7 = 46°

∠QSR = 42x+8 = 42(3) + 8 = 134°

Hence, this is the required solution.

The length of a rectangle is 7/10 feet and it's width is 1/5 feet. What is it's perimeter?​

Answers

Answer:

9/5 feet if they want an improper fraction

Step-by-step explanation:

p = 2l + 2w

2(7/10) = 14/10

rewrite 1/5 as 2/10

2(2/10) = 4/10

14/10 + 4/10 = 18/10 feet or simplified to 9/5 feet if they want an improper fraction

If Aaron tunes into his favorite radio station at a randomly selected time, there is a 0.20 probability that a commercial will be playing.

b. If Aaron tunes into this station at 5 randomly selected times, will there be exactly one time when a commercial is playing?

Answers

Answer:

Yes, there will be with a probability of 0.4096

Step-by-step explanation:

Given,

p = 0.2

1 - p = 0.8

Number of trials, n = 5

P(x = 1)

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 1) = 5C1 * 0.2^1 * 0.8^4

P(x = 1) = 5 * 0.2^1 * 0.8^4

P(x = 1) = 0.4096

Yes, there will be with a probability of 0.4096

Answer:

No. If Aaron tunes into this station at 5 randomly selected times, there will not necessarily be exactly one time when a commercial is playing.

Step-by-step explanation:

trust

Which set of ordered pairs represents a function?
{(-3,1), (8, -2), (0,0), (8,6)}
{(-1,-8),(-8, –3), (-8,-7), (4,1)}
{(-3,-8),(-3,-7), (2,-7), (6,-4)}
{(1,-1),(-3,-8), (8, -1),(0,5)}

Answers

Hope this helps ☺️!!!!!

B.

explanation:

whhdhdhdhehehgaahakkabdvdvhabs

Beth is making fruit salad. She adds 4 grapes for every 2 strawberries. If she uses 20 strawberries, how many grapes will she use?

Answers

Answer:40

Step-by-step explanation:2x+4x where the 4 represents every clump of 4 grapes and the 2 is strawberries

A frog jumps 9 3/5 feet in the span of 2 2/3 seconds. Express as a complex fraction and then find the unit rate, in feet per second, that the frog is moving at. Express any improper fractions as mixed numbers.

Answers

Answer:

3 3/5 feet per seconds

Step-by-step explanation:

If a frog jumps 9 3/5 feet in the span of 2 2/3 second, we want to calculate the number of feet it can jump in one seconds.

Since it jumps 9 3/5 feet in the span of 2 2/3 second, we can express this as:

9 3/5 feet  = 2 seconds ... 1

The number of feet per seconds will be expressed as:

x = 1secs.... 2

Divide equation 1 by 2 as shown:

9 3/5 ÷ x = 2 2/3 ÷ 1

48/5x = 8/3

Cross multiply

5x * 8 = 48 * 3

40x = 144

10x = 36

5x = 18

x = 18/5

Express as a mixed fraction:

18/5 = 3 3/5ft/secs

Hence the frog is moving at 3 3/5 feet per seconds

Slope of the line that passes through (6,0) and (0,-6)

Answers

Hey there!

The formula is:

• m = rise / run

• m = y₂ – y₁ / x₂ – x₁

• y₂ = –6

• y₁ = 0

• x₂ = 0

• x₁ = 6

• Equation: “–6 – 0 / 0 – 6”

–6 – 0 = –6 ⬅️ numerator (TOP number)

0 – 6 = –6 ⬅️ denominator (BOTTOM number)

Equation: –6 / –6

SOLVE above and you will have your ANSWER.

–6 / –6 = 1 because double negatives makes a negative.

The slope of line that passes through your given points is: 1

Answer: 1 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

What is the probability that a customer ordered a cold drink given that he or she ordered a large?

Answers

Answer:

19

Step-by-step explanation:

The probability that a customer ordered a cold drink given that he or she ordered a large is 32%.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

P(Small | Cold) = n(Small and Cold)/n(Cold)

From the table:

P(Small | Cold) = 8/(8 + 12 + 5)

P(Small | Cold) = 0.32

or

P(Small | Cold) = 32%

Thus, the probability that a customer ordered a cold drink given that he or she ordered a large is 32%.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

-4 x f (8) + 3 x g(-7) HELP ASAP

Answers

Answer:

-32

Step-by-step explanation:

-4 + f(8) + 3 x g(-7) = ?

To find f(8), look at each of the f(x) function and find x = 8. The y value is the answer you will plug in for f(8). The same goes for g(-7), but you will be looking at the g(x) function at x = -7.

f(8) = -4

g(-7) = -8

Make sure you solve in the correct order using PEMDAS.

-4 + (-4) + 3 x (-8) = -32

Convert 6 4/5 to an improper fraction.
Convert 5 3/4 to an improper fraction.
Solve: 3 1/3 ÷ 25/4
Solve: 14/3 ÷ 3 1/2
Solve 3 1/4 ÷ 5 1/2

Answers

6 4/5 as improper fraction is 34/5

5 3/4 as improper fraction is 23/4

3 1/3 by 25/4 is 8/15

14/3 by 3 1/2 is 4/3

3 1/4 by 5 1/2 is 13/22

Question 2
20 pts
Michelle deposits $750 into a new bank account that earns 2.5% simple interest per
year. What is the total amount in the account
after 3 years?
$56.25
$806.25
$45
$4500

Answers

Answer:

see answer above for your question

if 50% is 30 what is 25%​

Answers

Answer:

15

Step-by-step explanation:

25% is half of 50%, half of 30 is 15

15 because you are taking away another %50 off

What is the volume of Box 3?

Answers

Answer:A

Step-by-step explanation: U need to show us the box next time though.Luckly i had the same test.

Answer:

the answer is B had the same test

Step-by-step explanation:

Hi please help me answer this :)

Explain answer

Will give braisnlt

Answers

Answer:

No solutions

Step-by-step explanation:

No intersections or points that apply for the equations.

RSTUV - EABCD. Find AE.
T
8
C
U
6
4
S
B
D
6
v
4
A
R
m
AE =

Answers

9514 1404 393

Answer:

  AE = 3

Step-by-step explanation:

First of all, we need to find corresponding sides that are defined in both figures. The table below shows the given values.

From the table, we can write the proportion ...

  EA/RS = BC/TU . . . corresponding sides are proportional

  EA/6 = 4/8 . . . . . . . substitute given lengths

  EA = 6(4/8) = 3

The length of AE is 3 units.

Expand the single bracket
12(b +3)

Answers

Answer:

12b + 36

Step-by-step explanation:

multiply the outside of the bracket by the inside

12(b + 3)

12b + 36

What is the quotient of -3/8 and -1/3

Answers

Answer:

Step-by-step explanation:

(-3/8)/(-1/3)=

=(-3/8)*(-3/1)=9/8= 1 1/8

CAN SOMEONE PLEASE HELP ME PLEASE

Answers

Answer:

x = 5

Step-by-step explanation:

I already explained and solved it on the other question. Here is the link to my explanation of how it's 5. https://brainly.com/question/20451937

Help me please will mark you brainiest if its correct

Answers

he needs 60 more cubes.

Answer:

60 more cubes are needed

Jiyoung spent $82 at Uniqlo on shirts and shorts. She lost the receipt but knows that the shirts are
$11 each, and the shorts were $9 each. If Jiyoung bought 5 shirts, how many shorts did she buy?

Answers

its 3 shorts

Step-by-step explanation:

11×5= 55 82-55= 27 27÷9= 3

Answer:

Step-by-step explanation:

Given this information, we can set up an equation

[tex]11x + 9y = 82[/tex], where x is the amount of shirts bought, and y is the amount of shorts bought. Since we know she bough 5 shirts, we can replace x with 5

[tex]11 (5) + 9y = 82[/tex]   Now, we have to find for y.

Step 1. Simplify

[tex]55+9y=82[/tex]

Step 2. Subtract 55 from both sides

[tex]55-55+9y=82-55\\9y=27[/tex]

Step 3. Divide both sides by 9

[tex]\frac{9y}{9}=\frac{27}{9}\\y=3[/tex]

If y = 3, this means that Jiyoung bought 3 shorts.

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