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lidiya [134]
3 years ago
15

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:

  • brainly.com/question/558692
  • brainly.com/question/553823

#LearnwithBrainly

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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:

  • brainly.com/question/2150928
  • brainly.com/question/2154850

#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.

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3 years ago
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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
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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
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