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3 years ago

a drawer contains 24 and forks. there are three times as many spoons as forks. how many spoons are in the drawer?

Mathematics

2 answers:

SIZIF [17.4K]3 years ago

7 0

24× 3 because if there's "three times as many" its ×3 (answer:72)

Maurinko [17]3 years ago

4 0

There are 72 spoons in the drawer because, what is 24* 3 it is 72.

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2 years ago

mary is preparing for her college entrance exams. in a practice test, she answered 12 problems in 30 minutes. at this rate, how

mariarad [96]

12 problems = 30 minutes
24 problems = 60 minutes
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Mary can respond 60 problems in 2 hours and 30 minutes/ 2 hours and half/ 150 minutes.

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2 years ago

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3 years ago

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Solve the equation using the quadratic formula. Enter each solution in simplest form.

sergeinik [125]

For this case we have the following quadratic equation:

$x ^ 2-4x + 23 = 0$

The solutions will be given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Where:

$a = 1\\b = -4\\c = 23$

Substituting the values we have:

$x = \frac {- (- 4) \pm \sqrt {(- 4) ^ 2-4 (1) (23)}} {2 (1)}\\x = \frac {4 \pm \sqrt {16-92}} {2}\\x = \frac {4 \pm \sqrt {-76}} {2}\\x = \frac {4 \pm \sqrt {76i ^ 2}} {2}\\x = \frac {4 \pmi \sqrt {76}} {2}\\x = \frac {4 \pmi \sqrt {2 ^ 2 * 19}} {2}\\x = \frac {4 \pm2i \sqrt {19}} {2}\\x = 2 \pm i\sqrt {19}$

We have two roots:

$x_ {1} = 2-i \sqrt {19}\\x_ {2} = 2 + i \sqrt {19}$

ANswer:

$x_ {1} = 2-i\sqrt {19}\\x_ {2} = 2 + i\sqrt {19}$

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3 years ago