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3 years ago

8 x 19 in distributive property

1 answer:

4 0

8x19 in distributive property is (4x2)x(5x2)

the second one is in distributive property. I don't think my answer is right but its what i got.

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You buy $16 worth of food at a restaurant. The sales tax is 5.75% and you wish to tip 10%. What is the bill after tax, how much

Mila [183]

Sales tax on food = total cost of food x sales tax = $16 x 5.75% = $0.92
Bill after tax = total cost of food + sales tax on food = $16 + $0.92 = $16.92
Tip owned = total cost of food x tip in percent = $16 x 0.1 = $1.60

Total bill = bill after tax + tip owed = $16.92 + $1.60 = $18.52

4 0

4 years ago

You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die an

ASHA 777 [7]

Answer:

Yes

$P(1 \& 5) = \frac{1}{36}$

$P(5 \& 1) = \frac{1}{36}$

$P(5 \& 1 | 1\& 5 ) = \frac{1}{18}$

Step-by-step explanation:

From the question we are told that

Two fair dice, one green and one red were rolled

Generally the outcomes on the dice independent because the outcome on the first dice is not affected by the second die

Generally the probability of getting a 1 on a dice rolled is $P(1) = \frac{1}{6}$

the probability of getting a 5 on a dice rolled is $P(5) = \frac{1}{6}$

Generally the probability of P(1 on green die and 5 on red die) is mathematically represented as

$P(1 \& 5) = \frac{1}{6} *\frac{1}{6}$

$P(1 \& 5) = \frac{1}{36}$

Generally the probability of P(5 on green die and 1 on red die) is mathematically represented as

$P(5 \& 1) = \frac{1}{6} *\frac{1}{6}$

$P(5 \& 1) = \frac{1}{36}$

Generally the probability of P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) is mathematically represented as

$P(5 \& 1 | 1\& 5 ) = \frac{1}{36} + \frac{1}{36}$

$P(5 \& 1 | 1\& 5 ) = \frac{1}{18}$

8 0

3 years ago

A certain hallway in a crowded nightclub has a unique sound property. Every 2 feet closer to the stage you walk, the sound inten

bixtya [17]

The number of feet down the hallway where you go until you start to feel pain is 14 feet.

<h3>What is geometric progression GP?</h3>

A sort of sequence known as geometric progression (GP) is one in which each following phrase is created by multiplying every preceding term by such a fixed number, or "common ratio."

The general form of GP is

a, ar, ar², ar³ ... arⁿ⁻¹

where, a is the initial term.

r is the common ratio.

According to the question,

The initial term is; a = 2.

The common ratio r = 2.

The threshold value beyond which person start feeling pain is 127.

Thus, last term; arⁿ⁻¹ = 128 (1 feet beyond 127 person start feeling pain)

Last second value is arⁿ⁻².

As, the common ratio is same in GP.

Thus, arⁿ⁻¹ / arⁿ⁻² = ar/a

==> 128/arⁿ⁻² = r

==> 128/arⁿ⁻² = 2

==> 2×2ⁿ⁻² = 64

==> 2ⁿ⁻² = 32

==> n = 7

As, i step is of 2 feet, the total steps taken by the person is 2×7 = 14.

Therefore, the total number of steps beyond which person will feel pain is 14.

To know more about the geometric progression, here

brainly.com/question/15978376

#SPJ4

6 0

2 years ago

What is the solution to this system of equations?

murzikaleks [220]

Answer:

(5,1)

Step-by-step explanation:

You already have x isolated in the second one so you just fill that in for the first one and get y+4+y=6. Then you simplify and get that y=1 and because only one of the answer choices shows that, you just pick that choice which is (5,1).

5 0

3 years ago

Which ratio is equivalent to 3:9? 24:54 18:54 36:81

docker41 [41]

Answer:

18:54

Step-by-step explanation:

We have to simplify these ratios.

If the most simplified form of the ratios are equal, they are equivalent

3:9

$r = \frac{3}{9} = \frac{1}{3}$