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3 years ago

The product of two consecutive negative even integers is 24. What is the smaller of the two numbers?

Mathematics

2 answers:

nignag [31]3 years ago

5 0

Answer:

A. -6

Step-by-step explanation:

Karo-lina-s [1.5K]3 years ago

3 0

Answer:

The smaller one is -6, the bigger one is -4.

Step-by-step explanation:

You might be interested in

Nike marks up the original cost of all of the shoes they sell by 30%. Andre wants to buy a pair of shoes that has a price tag of

Kisachek [45]

Answer:

$90

Step-by-step explanation:

The shoes now cost 130% of the original cost

The original cost is 100%

Take the new amount and divide it by 130:

117/130 = .90

Then multiply that number by 100 to get the original percent

.90 x 100 = $90

To check, multiply $90 by 130% or 1.30 to make sure that a 30% increase makes the product $117

$90 x 1.30 = $117

7 0

2 years ago

Margo spends .25 of her paycheck on a new dress, 1/8 of her paycheck on shoes, and $24 on a birthday present. If she spent $60 a

stellarik [79]

Perhaps that Margos spends X dollars on her paycheck , then I found my equation . 0.25 X + 0.125X + 24 = 60 ( 1/8 is equal to 0.125 ). After u solved this equation u will get $96 for the total amount of her paycheck.

3 0

3 years ago

A small airline overbooks flights on the assumption that several passengers will not show up. Suppose that the probability that

olchik [2.2K]

We have 22 tickets sold, and 20 seats. This means that at least 2 passengers must not show up (otherwise, at least 21 passengers will be present, and there wouldn't be space for them).

Considering each passenger as independent, you can think of this experiment. Suppose you toss a coin for each passenger. If the coin lands on heads, the passenger shows up. If it lands on tails, the passenger doesn't show up.

But the coin is unfair: it has a 0.91 probability of landing on heads, and thus 0.09 probability of landing on tails.

This implies that the probability of having exactly $k$ tails is

$\binom{22}{k} \cdot 0.09^k \cdot 0.91^{22-k}$

We already concluded that at least two passengers must not show up. So, if our coins lands on tails less than twice, we've lost. So, the losing probability is

$\displaystyle\binom{22}{0}\cdot 0.09^0 \cdot 0.91^{22} + \binom{22}{1}\cdot 0.09^1 \cdot 0.91^{21} \approx 0.39$

Finally, remember the rule to negate events:

$P(E) = 1-P(\lnot E)$

So, if we lose with probability 0.39, we win with probability

$1-0.39 = 0.61$

6 0

3 years ago

Una compañía de telefonía móvil en expansión ha gestionado durante el trimestre que finaliza ochocientas cincuenta mil llamadas

NISA [10]

Answer:

$2,050,000\ daily\ calls$

Step-by-step explanation:

The question in English is

An expanding mobile phone company handled eight hundred and fifty thousand calls a day during the quarter. In the next quarter it expects to reach one million and increase quarterly by the same amount over the next two years. How many daily calls do you expect to handle in two years?

Let

x ----> the number of quarter

y ---> number of daily calls

we know that

we have the points

(0,850,000) and (1,1,000,000)

Find the slope m

$m=(1,000,000-850,000)/(1-0)=150,000\ daily\ calls$

The linear equation that represent this situation is

$y=150,000x+850,000$

How many daily calls do you expect to handle in two years?

In two years there are 8 quarterly

For x=8

substitute

$y=150,000(8)+850,000=2,050,000\ daily\ calls$

7 0

3 years ago

Solve the triangle.

Angelina_Jolie [31]

Using the sine law of triangles to solve for angle C:

b / sin B = c / sin C

C = arcsin (c * sin B / b)
C = 30.7°

Since interior angles of a triangle always add up to 180°, we can use this to solve for angle A:

angle A = 180° - 73° - 30.7°
angle A = 76.3°

Having solved for angle A, we can solve for side a using the sine law.

a / sin A = b / sin B

a = b * sin A / sin B
a = 15.2

Therefore, the correct answer is B.

3 0

2 years ago