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3 years ago

1. One number added to three times another number is 24. Five times the first num

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

4 0

Answer:

Let x equal the one number.

Let y equal the other number.

x + 3y = 24

5x +3y = 36

Subtract the first equation from the second equation.

4x = 12

x = 3

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Pls answer! I don’t know math @ all

Lana71 [14]

The probability that the outcome is a sum that is a multiple of 6 or a sum that is a multiple of 4 is $\frac{5}{12}$ .

Solution:

Total number of outcomes N(S) = 36

Let A be the sum that is a multiple of 6 and

B be the sum that is a multiple of 4.

Sum that is a multiple of 6 = (1, 5), (2, 4), (3, 3), (4, 2), (5, 1), (6, 6)

N(A) = 6

Sum that is a multiple of 4 = (1, 3), (2, 2), (2, 6), (3, 1), (3, 5),

(4, 4), (5, 3), (6, 2), (6, 6)

N(B) = 9

$$P(A)=\frac{N(A)}{N(S)}$

$$P(A)=\frac{6}{36}=\frac{1}{6}$

$$P(B)=\frac{N(B)}{N(S)}$

$$P(B)=\frac{9}{36}=\frac{1}{4}$

Probability that the outcome is a sum that is a multiple of 6 or a sum that is a multiple of 4:

$P(A \cup B)=P(A)+P(B)$

$$P(A \cup B)=\frac{1}{6} +\frac{1}{4}$

$$=\frac{2+3}{12}$ (Make the denominator same)

$$=\frac{5}{12}$

Hence the probability that the outcome is a sum that is a multiple of 6 or a sum that is a multiple of 4 is $\frac{5}{12}$ .

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3 years ago

Find the distance between (2.0) and (8, -3)

zvonat [6]

Answer:

6, 3

Step-by-step explanation:

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3 years ago

Annie's rectangular garden is 5 feet long and 3 feet wide. What is the area of her garden?

ANEK [815]

Answer: 5 x 3 = 15

Explanation: area is length multiplied by width.

6 0

2 years ago

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A type of bacteria has a very high exponential growth rate of 80% every hour. If there are 10 bacteria, determine how many will

Lana71 [14]

<h3>There are 189 bacteria in 5 hours</h3><h3>There are 13382588 bacteria in 1 day</h3><h3>There are $10(1.8)^{168}$ bacteria in 1 week</h3>

<em><u>Solution:</u></em>

Given that,

A type of bacteria has a very high exponential growth rate of 80% every hour

There are 10 bacteria

<em><u>The increasing function is given as:</u></em>

$y = a(1+r)^t$

Where,

y is future value

a is initial value

r is growth rate

t is time period

From given,

a = 10

$r = 80 \5 = \frac{80}{100} = 0.8$

<em><u>Determine how many will be in 5 hours</u></em>

Substitute t = 5

$y = 10(1 + 0.8)^5\\\\y = 10(1.8)^5\\\\y = 10 \times 18.89568\\\\y \approx 188.96$

y = 189

Thus, there are 189 bacteria in 5 hours

<em><u>Determine how many will be in 1 day ?</u></em>

1 day = 24 hours

Substitute t = 24

$y = 10(1 + 0.8)^{24}\\\\y = 10(1.8)^{24}\\\\y = 10 \times 1338258.84\\\\y = 13382588.45\\\\y \approx 13382588$

Thus, there are 13382588 bacteria in 1 day

<em><u>Determine how many will be in 1 week</u></em>

1 week = 168

Substitute t = 168

$y = 10(1 + 0.8)^{168}\\\\y = 10(1.8)^{168}$

Thus there are $10(1.8)^{168}$ bacteria in 1 week

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3 years ago

What is 12x34(234)+123x234

QveST [7]

Answer:

it's 124,254

Step-by-step explanation:

34 x 234 = 7,956

12 x 7956 = 95,472

123 x 234 = 28,782

95,472 + 28,782 = 124,254

hope that helps...

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