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3 years ago

Mrs. Torres is mailing a package that weighs 12.5 pounds. The post office charges by the

Mathematics

1 answer:

statuscvo [17]3 years ago

6 0

Answer:200 ounces

Step-by-step explanation: multiply 12.5 by 16

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What is the factorization of 3x2 – 8x + 5?

ELEN [110]

we have

$3x^{2} -8x+5$

Equate the expression to zero to find the roots

$3x^{2} -8x+5=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$3x^{2} -8x=-5$

Factor the leading coefficient

$3(x^{2} -(8x/3))=-5$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$3(x^{2} -(8x/3)+(16/9))=-5+(16/3)$

$3(x^{2} -(8x/3)+(16/9))=(1/3)$

Rewrite as perfect squares

$3(x-(4x/3))^{2}=(1/3)$

$(x-(4x/3))^{2}=(1/9)$

square roots both sides

$(x-\frac{4}{3})=(+/-) \sqrt{\frac{1}{9}}$

$x=\frac{4}{3}(+/-) \frac{1}{3}$

the roots are

$x=\frac{4}{3}+ \frac{1}{3}=\frac{5}{3}$

$x=\frac{4}{3}- \frac{1}{3}=\frac{3}{3}=1$

$3x^{2} -8x+5=3(x-\frac{5}{3})(x-1)=(3x-5)(x-1)$

therefore

<u>the answer is the option</u>

$(3x-5)(x-1)$

6 0

3 years ago

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Six teammates are competing for first, second, and third place in a race.

Olegator [25]

Answer:

Therefore, There are 120 possibilities for the top three positions

Step-by-step explanation:

Given that : Six teammates are competing for first, second, and third place in a race.

Total number of teammates in the team = 6

Total number of positions offered for winning in the competition = 3 ( first, second, and third place)

Now, we need to find the number of possibilities for the top three positions

Possibility for 1st position = 6

Possibility for 2nd position = 5

Possibility for 3rd position = 4

$\text{So,Total number of possibilities = }6\times 5\times 4=120$

Therefore, There are 120 possibilities for the top three positions

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natulia [17]

The answer is 3 because it goes into 39 and 42 and 6 doesn't go into 39

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4 years ago

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Write an exponential function that satisfies the given conditions:

Over [174]

Answer:

1.3(2)^t

Step-by-step explanation:

1.3(2)^t

You start with 1.3 because that is your inital amount, then you multiply by 2 because it doubles, and your exponent will be t (the number of weeks)

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PLEASE HELP ME !!!James had a large bag of raisins and he ate 3/4 of it over the weekend. On Monday, he decided to share the rem

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The ans is 1/12 while share with 3

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