A spider has 8 legs. An ant has 6 legs. There are a group of spiders and a group of ants. The groups have equal numbers of legs. What is the least number of spiders and ants in each group? Show your work

Answers

Answer 1
There are three spiders and 4 ants in all
Answer 2

The least number of spiders is 6 and ants is 8.

What is multiple?

In mathematics, multiples are the results of multiplying an integer by a given number.

Manifold is the fundamental definition of multiplicity. A multiple in mathematics refers to the outcome of multiplying two numbers together.

For example, multiples of 5 are: 10, 15, 20, 25, 30…etc. Multiples of 7 are: 14, 21, 28, 35, 42, 49…etc.

Given:

A spider has 8 legs.

An ant has 6 legs.

So, multiples of 8= 8, 16, 24, 32, 40, 48

and, multiples of 6= 6, 12, 18, 24, 30, 36, 42, 48

So, least number of spiders because= 8 x 6= 48

and, least number of ants = 6 x 8 = 48

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Related Questions

On a hike, each hiker carries the items shown. Write an expression in simplest form that represents the weight (in pounds) carried by x hikers. Interpret the expression.

Answers

A hiker has the following items:

A sleeping bag that weighs 3.4 lb

A Camping bag that weighs 4.6 lb

And a water bottle that weighs 2.2 lb.

The expression would be:

3.4x + 4.6x + 2.2x = x

Where x is the weight that each x hikers are carrying.

You just need to add the three items and the answer would be 10.2 pounds.

We want to find the total weight that each hiker carries by adding the weights of all individual items that they carry. And then we want an expression for the total weight that x hikers carry.

These items can be seen in the image at the end of the answer.

We will see that the total weight carried by x hikers is given by:

W(x) = (10.2lb)*x

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

First, let's find the weight that each hiker carries.

Each hiker carries:

Sleeping bag of 3.4 lb.Backpack of 4.6 lb.Water bottle of 2.2 lb.

The total weight is:

T = 3.4 lb + 4.6 lb + 2.2 lb = 10.2 lb

Then if each hiker carries 10.2 lb of weight, and there are x hikers, the total weight carried by them will be x times 10.2 lb

We have:

W(x) = (10.2lb)*x

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How can the difference 13-(-24)be rewritten as a sum with the correct solution? Explain?
A: (-13) + (-24) = -37
B: 13 + (-24) = -11
C: (-13) + 24 = 11
D: 13 + 24 = 37

Answers

D 13+24=37 because minus -24 can be written as plus 24
D. 13 + 24 = 37

Remember the rule:
Subtracting a negative is the same as adding a positive. 

A public pool charges a membership fee of $50 and a fee for each visit. Every time you go to the pool, it costs $2.50.
a. Write an equation to represent your total cost c for v visits.
b. How much will it cost if you go to the pool 22 times? *PLEASE SHOW YOUR WORK*

Answers

Answer:

A. C=2.50v

B. C=2.50x22

C=55

Step-by-step explanation:

What is the answer to this? I don’t

Answers

The numbers are {10, 11, 12, ... , 23, 24}.

Can we divide 11 by 1?  yes.  can we divide the other digit of 11 by 1?  yes.  Thus, 11 satisfies the criterion "they are divisible by each of their digits."

What about 12:  is 12 divisible by 1?  YES.  Is 12 divisible by 2?  YES.

And so on.

list all the possible numbers:

10 - cant be divisible by 0

11 - can be divided by 1 and 1

12 - can be divided by 1 and 2

13 - cant be divided by 3

14 - cant be divided by 4

15 - can be divided by 1 and 5

16 - cant be divided by 6

17 - cant be divided by 7

18 - cant be divided by 8

19 - cant be divided by 9

20 - cant be divided by 0

21 - cant be divided by 2

22 can be divided by 2 and 2

23 - cant be divided by 3

24 - can be divided by 2 and 4


 the numbers are  11, 12, 15,  22 and 24

Graph ​ y=−56x−4 ​.

Use the line tool and select two points on the line.


Answers

5/6 is the slope
and -4 is the y intercept 
so you first graph 0,-4 
then use the slope and move 5 units up and 6 to the right 

The two points on the line y = − 56x − 4 will be (1, −60) and (−1, 52).

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

y = − 56x − 4

Let x = 1, the value of y will be

y = − 56 (1) − 4

y = − 56 − 4

y = − 60

Let x = − 1, the value of y will be

y = − 56(−1) − 4

y = 56 − 4

y = 52

The two points on the line y = − 56x − 4 will be (1, −60) and (−1, 52). Then the diagram of the line is given below.

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8 x 19 in distributive property
2(9+3) in distributive property
thanks
I need them in distributive property

Answers

Answer:

8(10) + 8(9)

2(9) + 2(3)

Step-by-step explanation:

A student had to multiply 328 x 41. The student’s answer was 4,598. Use estimation to explain why this answer is not reasonable

Answers

with a number of 328×41 and coming up with a answer of nearly 5,000 is not reasonable because just estimating it 300×10 is 3,000 so times that by 4 is 12,000. 
Its not reasonable, here is why.

Grab a sheet of paper and follow along, write 328 x 41 and put 328 on top of 41.
multiply 8 x 1
multiply 2 x 1
multiply 3 x 1
multiply 8 x 4 which is 32
multiply 2 x 4 which is 8
multiply 3 x 4 which is 12
bring down the carry digit of 1
add 328 + 13120 which is 13448
or multiply 328 x 41 and u get 13448


The answer is not reasonable because its not the correct solution.

Is 0.3 a good estimate for 1/3 ??
Explain your reasoning

Answers

0.33 would be a better answer

58 1/3 ÷ 6 2/3 equals what?

Answers

58 1/3 / 6 2/3
175/3 / 20/3
175/3 x 3/20
525/60
8 3/4
The answer is:  35/4;  or;  " ¾ " ; or, write as:  " 8.75 " .
______________________________________________
Explanation:
_________________________________________________
             Given:  58 ⅓  ÷  6 ⅔ = ? ;
_________________________________________________
Note:  58 ⅓  =  [ (3*58) + 1 ] / 3  = (174 + 1) / 3 = 175 / 3 ; 

             6 ⅔ =  [ (3*6) + 2 ] / 3  = (18 + 2) / 3 = 20/3 ;
_________________________________________________
So;  Rewrite:  "58 ⅓  ÷  6 ⅔ " ;  as:
_________________________________________________
                      "(175/3)  ÷  (20/3) = ??
_____________________________________
Note:  "(175/3)  ÷  (20/3)  = (175/3) * (3/20) = ?

                                       → The "3's cancel out to "1" ; since "(3÷3 = 1)" ;
________________________________________
     and we have:  "175 * (1/20) = 175/20 ;
                                      =  35/4;  or;  " ¾ " ; or, " 8.75 " .
________________________________________
Alternate method:
________________________________________
       Given:  58 ⅓  ÷  6 ⅔ = ? ;
________________________________________
→ Using calculator:

       "58 ⅓ = 58.3333333333333333.... = 175/3 " ;

          
"6 ⅔ =6.6666666666666667 = 20/3 ;
_________________________________________
58 ⅓  ÷  6 ⅔ = (58.3333333333333333) (58.3333333333333333)  ÷ (6.6666666666666667)  (6.6666666666666667) = 8.75

or; better (using a calculator):  (175 ÷ 3) ÷ (20 ÷ 3) = 8.75  .

{or:  " (175 / 3) / (20 / 3)  =  8.75 " . 
_________________________________________

42-24 divide 6 ; value 3

Answers

I'm not sure exactly what you're asking, but I think the answer is 18.
Final answer:

The result of the expression 42-24 divided by 6, calculated using the 'Order of Operations' rule, is 38.

Explanation:

You've asked to solve this mathematical expression: 42-24 divided by 6. To do this correctly, we must follow the 'Order of Operations,' often remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

In your problem, the operations are Subtraction and Division. Following the PEMDAS rule, we perform Division before Subtraction. Therefore, first perform 24 divided by 6, which is 4. Then, subtract that result from 42. In the end, 42 minus 4 gives us 38 as the final answer.

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Evaluate the expression 3(7 + 4)2 − 14 ÷ 7. 50 361 363 586

Answers

It appears that none of your option choices are correct,, are you sure you copied them right ? I will show you how to solve this and how I got my answer.
The first step for solving this is to add the numbers in the parenthesis.
3 × 11 × 2 - 14 ÷ 7
Divide -14 by 7.
3 × 11 × 2 - 2
Divide the first 3 numbers together.
66 - 2
Subtract the numbers together to get your final answer.
64
Let me know if you have any further questions.
:)

You buy a movie for 19.99 and a set of earphones for 12.49 how much is the bill before taxes

Answers

19.99+12.49=32.48
19.99 for the movie and 12.49 for the earphones together they make 32.48

Answer:32.39

Step-by-step explanation: cost of movie is 19.9

Cost of earphone is 12.49

Adding both cost is 19.9+12.49

=32.39

The cost before tax deduction is 32.39

could someone help please thx

Answers

I believe the answer is either C or D... I am not sure though..

Solve the following system of equations algebraically for all values of x,y and z
x+3y+5z=45
6x-3y+2z=-10
-2x+3y+8z=72

Answers

x + 3y + 5z = 45
6x - 3y + 2z = - 10
------------------------add
7x + 7z = 35

6x - 3y + 2z = -10
-2x + 3y + 8z = 72
----------------------add
4x + 10z = 62

7x + 7z = 35....multiply by 4
4x + 10z = 62...multiply by -7
---------------------
28x + 28z = 140 (result of multiplying by 4)
-28x - 70z = - 434 (result of multiplying by -7)
--------------------add
- 42z = - 294
z = -294/-42
z = 7

4x + 10z = 62
4x + 10(7) = 62
4x + 70 = 62
4x = 62 - 70
4x = - 8
x = -8/4
x = -2

x + 3y + 5z = 45
-2 + 3y + 5(7) = 45
-2 + 3y + 35 = 45
3y + 33 = 45
3y = 45 - 33
3y = 12
y = 12/3
y = 4

solution is (-2,4,7) <==
Final answer:

The system of equations x+3y+5z=45, 6x-3y+2z=-10, -2x+3y+8z=72 can be solved algebraically to get the values x=6, y=12, z=-1.

Explanation:

First, we can combine the first and the second equations and the first and third equations to cancel out y.

Doing so, we get: x+3y+5z+6x-3y+2z=45-10 and x+3y+5z-2x+3y+8z=45+72

The new equations simplify to 7x+7z=35 and -x+13z=117

Next, we can divide the first new equation by 7 to get x+z=5. Subtract x from both sides to get z=5-x.

Substitute z=5-x into the second equation to find the value of x.

Performing these substitutions gives x=6. Substituting x=6 back into the equation z=5-x gives z=-1.

Finally, we substitute x=6 and z=-1 back into the original equations to solve for y: y=(45-6-5(-1))/3 = 12

So, x=6, y=12, z=-1 are the solutions to the system of equations.

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Kinda stuck on this please help thank you so much

Answers

D is your answer. The last dot
your answer is -2x+y=5

WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!
describe the relationship between: the domain, relation, and range

Answers

Relations are subsets of products A×BA×B where AA is the domain and BB the codomain of the relation.

A function ff is a relation with a special property: for each a∈Aa∈A there is a unique b∈Bb∈B s.t. ⟨a,b⟩∈f⟨a,b⟩∈f.

This unique bb is denoted as f(a)f(a) and the 'range' of function ff is the set {f(a)∣a∈A}⊆B{f(a)∣a∈A}⊆B.

You could also use the notation {b∈B∣∃a∈A[⟨a,b⟩∈f]}{b∈B∣∃a∈A[⟨a,b⟩∈f]}

Applying that on a relation RR it becomes {b∈B∣∃a∈A[⟨a,b⟩∈R]}{b∈B∣∃a∈A[⟨a,b⟩∈R]}

That set can be labeled as the range of relation RR.

The three seventh grade classes at Sunview Middle School collected the most boxtops for a school fundraiser. They won a $600 prize to share among them. Mr. Aceves’ class collected 3,760 box tops, Mrs. Baca’s class collected 2,301, and Mr. Canyon’s class collected 1,855. How should they divide the money so that each class gets the same fraction of the prize money as the fraction of the box tops that they collected? Explain your reasoning.

Answers

Since Mr. Aceve's class collected 3,760 they should receive $300 of the prize money, Mrs. Baca's class collected 2,301 they should receive $200, Mr. Canyon's class collected 1,855 they should receive $100.

Answer: The share would be approximately $285, $175, $141 respectively.

Step-by-step explanation:

Since we have given that

Number of box tops collected by Mr. Aceves's class = 3760

Number of box tops collected by Mrs. Baca's class = 2301

Number of box tops collected by Mr, Canyon's class = 1855

We first find the ration of box tops of Mr. Aceves, Mrs. Baca and Mr. Canyon respectively:

3760:2301:1855

Total = 3760+2301+1855=7916

Total amount to be share among them as a prize = $600

Mr. Aceves's share is given by

[tex]\dfrac{3760}{7916}\times 600\\\\=284.99\\\\\approx 285[/tex]

Mrs. Baca's share is given by

[tex]\dfrac{2301}{7916}\times 600\\\\=175.08\\\\\approx 175[/tex]

Mr. Canyon's share is given by

[tex]\dfrac{1855}{7916}\times 600\\\\=140.60\\\\\approx 141[/tex]

Hence, the share would be approximately $285, $175, $141 respectively.

Due to fire laws, no more than 720 people may attend a performance at Metro Auditorium. The balcony holds 120 people. There are 32 rows in the ground floor each for the same number of seats write an inequality to find the numbers of people that can sit in a ground floor row if the balcony is full. Identify what your variable represents.

Answers

p=people
s=seats
r=rows

There are 32 rows with x amount of seats but only p amount of people can be in the auditorium due to fire laws.
32r=x>p

The value of -4 2 is _____. pls help

Answers

the answer is 16 because 4^2 = 16 but even though its negative the value is 16
Final answer:

The value of -4 squared (-4^2) is -16 because the exponent only applies to 4, not the negative sign. To include the negative in the exponent, use parentheses like (-4)^2 = 16.

Explanation:

The value of -4^2 is -16. This is because the exponent applies only to the number 4 and not the negative sign in front of the 4. In other words, -4^2 means -(4*4) which is -16. To make the negative part of the base, the operation should be placed in parentheses like (-4)^2 = 16.

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The complete question is given below:

The value of -4^2 is _____.  

3. For ΔFHG, find the measure of the smallest angle, ∠HFG, if m∠ GHF = 92° and m∠HGF =
72°

Answers

16 --


hope this helps,,

Answer: The Answer is 16

Natalie walked 3/5 mile in 1/2 hour how fast did she walk in miles per hour

Answers

Our job here is to convert the given info to the rate (speed) as a unit measurement.  In other words, we need to calculate how fast Natalie walks in 1 hour.

To do this, divide the distance by the elapsed time:

3/5 mile
------------
1/2 hour

This becomes

3
--
5
==   miles/hour
1
--
2

Invert the divisor (1/2) and multiply:

3      2       6
-- * ---  = -----
5      1       5

The correct answer must include units of measurement.  It is

(6/5) mph.

The speed of Natalie in miles per hour is 1.2 mph.

The given parameters;

distance covered by Natalie, d = 3/5 miletime of motion of Natalie, t = 1/2 hour

The speed of Natalie in miles per hour is obtained by dividing the distance covered by Natalie by the time of motion.

The value of this speed is  calculated as;

[tex]speed = \frac{distance }{time} \\\\speed = \frac{3/5}{1/2} = \frac{3\times 2}{5} = \frac{6}{5} = 1.2 \ mph[/tex]

Thus, the speed of Natalie in miles per hour is 1.2 mph.

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A pair of running shoes cost $22.29. The store owner wanted to make a profit of $18.50. What should be the shoes’ selling price?

Answers

the running shoes should cost $40.79

Final answer:

The selling price for the running shoes should be $40.79 to include the cost price of $22.29 and the desired profit of $18.50.

Explanation:

To calculate the selling price of the running shoes to achieve a desired profit of $18.50, we simply add the cost of the shoes to the desired profit.

The cost of the shoes is $22.29, and the store owner wants to make a profit of $18.50.

Therefore, the selling price should be:

Cost of shoes: $22.29

Desired profit: +$18.50

Total selling price: $40.79

The store owner should set the selling price at $40.79 to make a profit of $18.50 on the pair of running shoes.

F(n) = 1.25n + 6.25 ; 25 the explicit rule for a sequence and one of the specific terms is given find the postion of the given term

Answers

add 25 and 6.25 then divide by 1.25 and it should give you n

The scale on a map is 2cm = 15miles. Dave measures the distance to the next town at 7cm. How many miles away is the next town?

Answers

Try 15 times 7 which is 105 miles.....I believe is the correct answer

Answer:

[tex]52.5\ miles[/tex]

Step-by-step explanation:

we know that

The scale on the map is equal to

[tex]\frac{2}{15}\frac{cm}{miles}[/tex]

so

by proportion

Find how many miles are [tex]7\ cm[/tex] on the map

[tex]\frac{2}{15}\frac{cm}{miles}=\frac{7}{x}\frac{cm}{miles}\\ \\x=15*7/2\\ \\x=52.5\ miles[/tex]

If 45 cookies will serve 15 students, how many collies are needed for 30 students?

Answers

45 cookies for 15 students = 3 cookies per student

3 x 30 = 90 cookies 

you need 90 cookies for 30 students

hope this helps
yep the answer is 90 

Help me please 2. You learn from your science teacher that water expands when you freeze it. The next time that you freeze your water bottle, you leave room for the water to expand so that the bottle does not crack. What kind of reasoning did you use? inductive reasoning deductive reasoning algebraic reasoning direct reasoning I think the answer is b

Answers

You would be correct. Direct reasoning you already have your teacher who told you what would happen you are simply doing a reaction because of her.

With the 20% off coupon, Alexis received a discount of $15 on her shoes. What was the regular price of her shoes before the 20% off coupon was applied? Justify your answer using equations, models, and/or words to explain your mathematical reasoning. Answer

Answers

In this question, Alexis got 20% discount which was equal to $15 cut from the shoes original price. If $15 is 20% of the original price, then the full original price before the discount would be:

$15=20%

Original price= 100% * $15/20%=5* $15= $75

to rent a car,the fast company charges $75 per day plus $0.05 per mile. how many miles did mrs.kline drive if the cost of renting the car was $ 92.40?

Answers

75+0.05m=92.4
0.05m=92.4-75
0.05m=17.4
m=348
mrs. kline drove 348 miles

At 1 pm you have 24 megabytes of a movie at 1:15 PM you have 96 megabytes. What is the download rate in megabytes per minute? (Show work)

Answers

The rate of change is a slope. In this case the change in megabytes divided by the change in minutes.   m = (y2 - y1)/(x2 - x1) If you use 1:00pm as a starting point then your data points would be (0, 24), (15, 96)

Which phrase could be represented by this expression?   

 k/5 + 8
or 
k over 5 + 8


eight more than a fifth of a number


five times a number plus eight


eight more than five times a number


one-fifth of the sum of a number and eight

Answers

eight more than a fifth of a number

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