All categories

3 years ago

Van bought a 16 pound bag of dog food his dog ate 2/3 of the food how many pounds of dog food did the dog eat

Mathematics

1 answer:

kaheart [24]3 years ago

7 0

The dog ate $10\frac{2}{3}$ pounds of food

Step-by-step explanation:

Given

Quantity of food = q = 16 pounds

Portion eaten by dog = p = 2/3

So,

The total pounds of food eaten by dog are:

$Pounds\ eaten\ by\ dog = p*q\\= \frac{2}{3} * 16\\= \frac{32}{3}\\= 10\frac{2}{3}$

Hence,

The dog ate $10\frac{2}{3}$ pounds of food

Keywords: Fractions, decimals

Learn more about fractions at:

#LearnwithBrainly

You might be interested in

A fair tossed 10 times . Find the probability of obtaining (i) exactly four heads (ii) 3 heads and 7 tails (iii) at least one he

vodka [1.7K]

Answer:

0.205 ; 0.117 ; 0.999

Step-by-step explanation:

Using binomial probability distribution :

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

Probability of success, p = 0.5

P(x = 4) = 10C4 * 0.5^4 * 0.5^6

P(X = 4) = 0.205078125

B.) 3 heads and 7 tails

P(X = 7) = 10C7 * 0.5^7 * 0.5^3

P(X = 7) = 120 * 0.0009765625

P(X = 7) = 0.117

P(atleast one head)

P(x greater than equal to 1) = p(x =1) +... P(x = 10)

Using a binomial probability calculator :

P(x greater than equal to 1) = 0.999

3 0

2 years ago

A number plus itself, plus twice itself, plus 4 times itself is equal to -104

NARA [144]

The scenario will will be represented by: $x+x+2x+4x=-104$

The number will be -13

Step-by-step explanation:

We have to convert the given situation into the mathematical form

Let x be the number

Then

"a number plus itself"

x+x

"plus twice itself"

x+x+2x

"plus 4 times itself"

x+x+2x+4x

"is equal to -104"

$x+x+2x+4x=-104$

This can also be written as:

$x+x+2x+4x=-104\\8x=-104\\Dividing\ both\ sides\ by\ 8\\\frac{8x}{8}=\frac{-104}{8}\\x=-13$

Keywords: Linear Equation

Learn more about linear equation at:

#LearnwithBrainly

7 0

3 years ago

Prove the polynomial identity.

aleksandr82 [10.1K]

Explanation:

Since we have given that

$(2x+1)^2-2(2x+1)$

Now, we have to prove it as

$(2x+1)(2x-1)$

Now, start the iterations:

$(2x+1)^2-2(2x+1)\\\\=4x^2+1+4x-4x-2\\\\=4x^2+1-2\\\\=4x^2-1\\\\=(2x)^2-1\\\\=(2x+1)(2x-1)$

So, first blank will be filled with

$4x^2+4x+1$

Second blank will be filled with

$4x^2-1$

Hence proved.

7 0

3 years ago

HELP HELP HELP HELP OR ILL FAIL PLSSSS

Oxana [17]

You multiply each point by 1/2 or 0.5 so if you have point A which is at (15,-3) it would become (7.5,-1.5) and you graph it there

5 0

2 years ago

A runner warms up for ten minutes and then takes seven minutes to run each mile The total time after r miles is 45 minutes . How

Charra [1.4K]

5 miles are ran total. Take away ten minutes of warm up from the total time of 45 minutes. You now have 35 minutes of running. You will now divide 35 minutes by 7 minutes. Which equals 5

5 0

3 years ago