All categories

3 years ago

how long a 30-pound bag of dog food will last. He has 3 big dogs, and each dog eats 2 pounds of food in one day.

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

4 0

Answer:

5 days.

Step-by-step explanation:

We are told that one person has 3 dogs and each dog eats 2 pounds of food in one day.

Let us find amount of food needed for 3 dogs in 1 day by multiplying number of dogs (3) by amount of food eaten by one dog (2 pounds).

$\text{Amount of food eaten by 3 dogs in one day}=3*2\text{ pounds}$

$\text{Amount of food eaten by 3 dogs in one day}=6\text{ pounds}$

Now let us divide 30 by 6 to find the number of days available food will last.

$\text{30 pound of food bag will last}=\frac{30}{6}$

$\text{30 pound of food bag will last}=5$

Therefore, 30-pound bag of dog food will last for 5 days.

You might be interested in

A die is rolled once what is the probability of rolling not a 4

snow_lady [41]

Answer:

I think 1/6

Step-by-step explanation:

A die has 6 sides so every side has 1/6 chance to land on

8 0

3 years ago

Will give BRAINLEST :)

DiKsa [7]

Answer:

Step-by-step explanation:

This explanation mostly depends on what you're learning right now. The first way would be to convert this matrix to a system of equations like this.

g + t + k = 90

g + 2t - k = 55

-g - t + 3k = 30

Then you solve using normal methods of substitution or elimination. It seems to me that elimination is the quickest method.

g + t + k = 90

-g - t + 3k = 30

____________

0 + 0 + 4k = 120

4k = 120

k = 30

No you can plug this into the first two equations

g + t + (30) = 90

g + t = 60

and

g + 2t - (30) = 55

g + 2t = 85

now use elimination again by multiplying the first equation by -1

g + 2t = 85

-g - t = -60

_________

0 + t = 25

t = 25

Now plug those both back into one of the equations. I'll just do the first one.

g + (25) + (30) = 90

g = 35

Therefore, we know that Ted spent the least amount of time on the computer.

The second method is using matrix reduction and getting the matrix in the row echelon form, therefore solving using the gauss jordan method. If you would like me to go through this instead, please leave a comment.

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=%28-1%7B2%7D%7B3%7D%20%29x%5E%7B3%7D" id="TexFormula1" title="(-1{2}{3} )x^{3}" alt="(-1{2}{3}

Alex_Xolod [135]

After talking with you here are two different options I think you are trying to ask:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about: $(\frac{-12}{3}) ^{3}$

Answer: -62

Explanation:

PEMDAS tells us we need to do the exponent first:

-12³ = (-12)³ = -1728

<em>The parentheses are important so you cube the negative sign as well!</em>

3³ = 27

-1728 / 27 = -62

$(\frac{-12}{3}) ^{3}$ simplified is -62

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about (-1 $\frac{2}{3}$ )³

Answer: - $\frac{125}{27}$

Explanation:

First, let us turn -1 and two thirds into a mixed number:

Ignoring the negative for now, we can 1 times 3 is 3. 3 plus 2 is 5. 5/3 is 5/3. Adding in the negative we get $-\frac{5}{3}$

To cube it we must do:

( $-\frac{5}{3}$ )( $-\frac{5}{3}$ )( $-\frac{5}{3}$ )

3 times 3 (9) times 3 is 27

5 times 5 (25) times 5 is 125

So we have 125/27

For the negative, we have three - - -

Two cancel each other out, and we are left with one (-) so our answer is negative

(-1 $\frac{2}{3}$ )³ simplifed is - $\frac{125}{27}$

7 0

2 years ago

Given f(x)=x-7 and h(x)=2x+3 what is the rule for h(f(x))

Paul [167]

Answer:

h(f(x)) = 2x - 11

Step-by-step explanation:

To evaluate h(f(x)) substitute x = f(x) into h(x)

h(x - 7)

= 2(x - 7) + 3

= 2x - 14 + 3

= 2x - 11

6 0

3 years ago

I need help with this problem

Zolol [24]

Answer

Step-by-step explanation:

7 0

3 years ago