Tanvi is getting older and feels like she should donate her collection of stuffed animals to children who are less fortunate. She has 36 stuffed cats and 32 stuffed dogs, which she wants to divide into identical groups, with no stuffed animals left over. What is the greatest number of groups Tanvi can place her stuffed animals into?

Answers

Answer 1

Answer:

4 number of groups each with 9 number of stuffed cats and 8 stuffed dogs.

Step-by-step explanation:

Given that:

Number of stuffed cats = 36

Number of stuffed dogs = 32

These are to divided in identical groups such that no stuffed animal is left over.

We have to find the largest number of groups so that Tanvi can place her stuffed animals into.

To find the largest number of such groups, we need to find the HCF (Highest Common Factor).

Let us factorize the two numbers i.e. 36 and 32. Then we will underline the common factors between the two numbers.

[tex]36 = \underline{2\times 2} \times 3\times 3\\32 = \underline{2\times 2} \times 2\times 2\times 2[/tex]

Therefore, HCF is [tex]2\times 2 = 4[/tex]

Therefore, there can be 4 number of groups at the most so that no stuffed animals is left over.

Each group will have [tex]\frac{36}4[/tex] = 9 number of stuffed cats and

[tex]\frac{32}{4}[/tex] = 8 number of stuffed dogs.


Related Questions

y+6=1/3(x-3) into standard form

Answers

Answer:

[tex]x-3y=21[/tex]

Step-by-step explanation:

The standard form of a linear equation is [tex]Ax+By=C[/tex]

STEP 1: Multiply both sides by [tex]3[/tex].

STEP 2: Simplify [tex]3(y+6).[/tex]

STEP 3: Simplify again.

STEP 4: Rewrite the equation with the sides flipped.

STEP 5: Move all terms containing variables to the left side of the equation.

STEP 6: Move all terms not containing a variable to the right side of the equation.

Rearranging the equation given to conform with the standard form of an equation, the expression becomes -x + 3y = - 21

The standard form of expression a linear equation is given as :

Ax + By = C

Given the expression : y + 6 = 1/3(x - 3)

Multiply both sides by 3

3(y + 6) = x - 3

3y + 18 = x - 3

Move x and y to the same side and the constant to the other.

3y - x = - 3 - 18

-x + 3y = - 21

Hence, the standard form of the equation is - x + 3y = - 21

Learn more : https://brainly.com/question/18405415

P(x)=2x ³+ x ²-7x-6​

Answers

Answer:

x = -1.5, -1, 2.

Step-by-step explanation:

I am assuming you want to solve this>

Solve 2x ³ + x ² -7x - 6​ = 0

It looks like x = -1 is a solution so we try it:

2*(-1)^3 + (-1)^2 -7(-1) - 6

= -2 + 1 + 7 - 6

= -1 + 1 = 0

So x = -1 is one root.

So (x + 1) must be a factor of P(x)

Now we divide by x + 1:

x + 1)2x ³     + x ²   -7x -  6​( 2x^2 - x - 6  <--- quotient

       2x^3 + 2x^2

                  -x^2  - 7x

                  -x^2  -  x

                             -6x -  6

                             -6x -  6

                              ----------

2x^2 - x - 6 = 0

(2x + 3)(x - 2) = 0

x = -1.5, 2.

Which fractions are equivalent to 8/20 ?

Answers

Answer:

2/5. 4/10. 6/15. 8/20. 10/25. 12/30

Step-by-step explanation:

Answer:

There are infinity equivalent fractions to 8 /20

Examples: 2/5, 4/10, 6/15, 8/20, 10/25 and so on.

The population density of a square platform must be less
than 4 people per square yard to meet safety requirements.
The expected attendance at the event is 150 people. What is the minimum side
length, in whole yards, of the platform that meets safety requirements?

Answers

Answer:

For me, I really like corn

What do you like about corn?

It's corn

A big lump with knobs

It has the juice (it has the juice)

I can't imagine a more beautiful thing (woo)

It's corn

I can tell you all about it

I mean, look at this thing

When I tried it with butter, everything changed

I hope u have a corntastic day

9x-7=-25

whats the variable?

Answers

Answer:

the variable is 9x

Step-by-step explanation:

4y-28 pls help find y value

Answers

Answer:

4y-28 = 0

4y = 28

y=28/4

y = 7

4y-28=0. 4y=28. Y=7 the answer would be 7. Mark brainliest

What is the factored form of t6 − p3?

A.
(t2 + p)(t4 − pt2 + p2)
B.
(t − p)2(t2 − pt + p2)
C.
(t2 − p)(t4 + pt2 + p2)
D.
(t − p)2(t2 + pt + p2)

Answers

Answer:

(C). (t² - p)( [tex]t^{4}[/tex] + pt² + p²)

Step-by-step explanation:

a³ - b³ = (a - b)(a² + ab + b²)

[tex]t^{6}[/tex] - p³ = (t²)³ - p³ = (t² - p)( [tex]t^{4}[/tex] + pt² + p²)

Emily wants to earn $100. She picks blueberries and is paid d dollars per bucket. She averages 4 buckets per day, and she has already picked blueberries for 5 days.

Which of the following expression represents how much more money she needs to earn to meet her goal?

Answers

Answer:d

Step-by-step explanation:

The money Emily needs to earn to meet her goal if, Emily wants to earn $100 is 20 (5 - d).

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

Given:

Emily wants to earn $100,

She averages 4 buckets per day, and she has already picked blueberries for 5 days,

Calculate the total money earned by Emily till now as shown below,

d × 5 × 4 = 20d

Money left = 100 - 20d

Write the expression as shown below,

The money she needs to earn to meet her goal = 100 - 20d

The money she needs to earn to meet her goal = 20 (5 - d)

To know more about the expression:

https://brainly.com/question/13947055

#SPJ2

guys pls i post two more questions that i dont kno and i want to pass my test sorry ,but they are important

Answers

okkk .. this is what this app is for anyways to help.

If a pound costs $4.25, how much dose 0.46 pounds cost?

Answers

the answer is about $1.96

Answer:

$1.96

Step-by-step explanation:

Let's set up a proportion:

1 lb : $4.25 = 0.46 lb : $x

Here, x is the cost of 0.46 pounds. The ratio above can also be written in fraction form as:

[tex]\frac{1}{4.25} =\frac{0.46}{x}[/tex]

Now, we cross-multiply:

1 * x = 4.25 * 0.46

x = 1.955 ≈ $1.96

Help needed. 30 points to complete the table and do the second part.

Answers

Answer:

-4,-6,-8,-10

Step-by-step explanation:

I am not so sure though.

Leslie bought 6 sections of fence. Each section is 4 feet long. Leslie put all the sections together in a line.
What is the total length of all 6 sections?
OA. 16 feet
OB. 24 feet
OC. 30 feet
OD. 36 feet
OE. 40 feet

Answers

Answer:

b

Step-by-step explanation:

6×4=24 i believe so if not ask for help

Helppppppppppppp pleaseeeeeeee

Circle theorems. Please help me solve for x.

Brainliest, thanks, points and 5 stars for whoever gets this correct and has the right working out.

Please Do not reply if you don’t know the answer

Answers

the whole explanation is in the pic

The corresponding sides of two similar triangles are 8 and 12. If the perimeter of the smaller triangle is 28, find the perimeter of the bigger triangle?
A. 38
B. 30
C. 54
D. 42

Answers

Answer:

D

Step-by-step explanation:

12•28 which is then divided by 8=42

Find the area. Simplify your answer.
3x
4
Help

Answers

Answer:

The area is 12x^2

Step-by-step explanation:

1/2 x 1/2 = please answer I forgot what this was!!

Answers

Answer: 0.25

Step-by-step explanation:

What is the result of subtracting the second equation from the first?
8.x - 4y = -4
-3a + 4y = 5​

Answers

this is the answer with explanation

what percent of 15 is 15% of 20​

Answers

Answer:

20 %

Step-by-step explanation:

15% of 20 is 3, and 3 is 20% of 15

Please help ! Write slope intercept form

Answers

Answer:

y=4/3x

Step-by-step explanation:

Which of these is also (always) a rhombus? (Select all that apply.)

A. Quadrilateral
B. Parallelogram
C. Rectangle
D. Square
E. Kite
F. Trapezoid

Answers

Answer:

A square and maybe a kite.

Step-by-step explanation:

Answer:

D. Square

Step-by-step explanation:

Here is a good images that explains what is what:

Read it from bottom to top. It cannot be reversed.

A cell phone plan costs `\$200` to start. Then there is a `\$50` charge each month.



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

Answers

For one month the cost would be $250

A math test has 12 multiplication problems and 24 division problems.

What is the ratio value of multiplication problems to division problems?

Type your answer as a fraction in simplest form.

Answers

Answer:

12:24 = 1:2

Step-by-step explanation:

Since there are 12 multiplication problems, and 24 division problems, the ratio of multiplication and division problems are 12:24, now we need to put it in simplest form.

We need to find the highest number of which both are divisible by, 12 and 24 are both divisible by 12.

So 12÷12 = 1, and 24÷12 = 2, so 12:24 in simplest form is 1/2 or 1:2.

Answer:

1/2

Step-by-step explanation:

12 is half of 24. Therefore, the answer as a fraction in simplest form is 1/2.

y = x + 3
find slope and y intersect

Answers

Answer:

Slope m = 1

y-intercept b = 3 or (0, 3)

General Formulas and Concepts;

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y = x + 3

Step 2: Break

Identify Parts

Slope m = 1

y-intercept b = 3

7p2-3-3p3 in standard form

Answers

Answer:

-3p^3+7p^2-3

Step-by-step explanation:

PLZ HELP ME!!! THX :D

Answers

Answer:

x=6

MKL=37

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. because U is between T and B

TU +UB = TB

2x+3x+1 =21

5x = 20

x= 4

mTU = 2x = 2*4 = 8

mUB = 3x+1 = 3*4 +1 = 12 +1 = 13

2.

m∠JKL = 59°

m∠MKL + m∠JKM = m∠JKL

5x+7 +2x+10 = 59

7x +17 = 59

7x = 59-17

x = 42/7 = 6

m∠MKL=5x+7 = 5*6 +7 = 30+7 = 37°

3x + 3-5> 4
this is my last straw

Answers

Answer:

x> 2 im not for sure though

Step-by-step explanation:

Midterm plss helpppppp

Answers

Answer:

we conclude that:

[tex]g\left(x\right)\:-\:h\left(x\right)\:=\:2x^2\:-\:3x[/tex]

Step-by-step explanation:

Given

[tex]h(x) = -3x[/tex][tex]g\left(x\right)\:=\:2x^2[/tex]

We have to determine [tex]g\left(x\right)\:-\:h\left(x\right)\:=\:2x^2\:-\:3x[/tex]

so

[tex]g\left(x\right)\:-\:h\left(x\right)\:=\:2x^2\:-\:3x[/tex]

Thus we conclude that:

[tex]g\left(x\right)\:-\:h\left(x\right)\:=\:2x^2\:-\:3x[/tex]

Please help!!
what is the slope, y intercept, and equation for this?? I’ll give brainliest!!!!

Answers

Answer:

Slope: -1/3

y intercept: -2

SlopeX -1/3
Slope y is

How is speed similar to solving for time?

Answers

To get the speed of something you would have to sole for s=d/t (speed equals distance over time)

If f(x)=3x^5+2x^4+5, then what is the remainder when f(x) is divided by x−1?

Answers

Answer:

The remainder is 10

Step-by-step explanation:

The find the remainder when f(x) divided by g(x), find the value of x when g(x) = 0, then substitute it in f to find the value of the remainder

∵ f(x) = 3[tex]x^{5}[/tex] + 2[tex]x^{4}[/tex] + 5

∵ f(x) is divided by x - 1

g(x) = x - 1

→ Equate g(x) by 0 to find x

∵ g(x) = 0

x - 1 = 0

→ Add 1 to both sides

∵ x - 1 + 1 = 0 + 1

x = 1

→ Substitute x in f by 1

∵ f(1) = 3[tex](1)^{5}[/tex] + 2[tex](1)^{4}[/tex] + 5

∴ f(1) = 3(1) + 2(1) + 5

∴ f(1) = 3 + 2 + 5

f(1) = 10

∵ The remainder is the value of f(1)

The remainder is 10  

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