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2 years ago

What is the solution to the following equation? |3x - 6| = 10

Mathematics

1 answer:

lorasvet [3.4K]2 years ago

8 0

Answer:

Step-by-step explanation:

1) Set up the following two equations, because of the absolute value:

3x-6=10

3x-6=-10

2) Solve both equations:

3x=16

3x=-4

3) Divide both sides by 3:

x=16/3

x=-4/3

4) Make fractions proper:

x=5 1/3

x=-1 1/3

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70 points!

astra-53 [7]

y = 4.5x

Explanation:

9 ÷ 2 = 4.5

18 ÷ 4 = 4.5

27 ÷ 6 = 4.5

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3 years ago

A tournament is being run between two teams, A and B. This is a 2- tournament meaning that the first team to win 2 games is the

natta225 [31]

Answer:

Step-by-step explanation:

For first game PA = 1/3

For second game PA = 1/3 ( If A is not lost in first game )

= 2/5 (If A is lost in first game )

For conclusion of game in three matches :

If A wins , the probability is

PA , PB , PA = 1/3 X 2/3 X 3/5 = 6/45

PB , PA , PA = 2/3 X 3/5 X 1/3 = 6/45

If B wins

PA, PB, PB = 1/3 X 2/3 X 2/5 = 4/ 45

PB, PA , PB = 2/3 X 3/5 X 2/3 = 4 / 15

Total probability of conclusion of game in 3 matches

= 6/45 +6/45 + 4/45 +4/15 = 28/45

b )

For the game concluding in 2 matches , the probability are as follows

PA,PA = 1/3 X 1/3 = 1/9

PBPB = 2/3 X 2/5 = 4 / 15

Total probability

= 1/9 + 4/15 = 17/45

So PA = 1/9 / 17/45

= 5/17

5 0

3 years ago

Please help asap Two vertices of a polygon are (7, −18) and (7, 18) . What is the length of this side of the polygon?

Pavlova-9 [17]

You just need to find distance between two points
d= $\sqrt{(y2-y1)^2+(x2-x1)^2}$
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3 years ago

Scientists have discovered a vaccine for a debilitating disease. This year there were 570,000 reported new cases of the disease

Ket [755]

Answer: There are approximately 853827 new cases in 6 years.

Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

$\frac{2}{3}$

Now,

First year =570000

Second year is given by

$570000\times (\frac{1}{3})$

Third year is given by

$570000(\frac{1}{3})^2$

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

$570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6$

a=570000

common ratio is given by

$r=\frac{a_2}{a_1}=\frac{1}{3}$

number of terms = 6

Sum of terms will be given by

$S_n=\frac{a(1-r^n)}{(1-r)}$

We'll put this value in this formula,

$S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16$

So, there are approximately 853827 new cases in 6 years.

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2 years ago

Leticia is paid $672 weekly. What is her annual salary?

denpristay [2]

Answer: b: 34,944

Step-by-step explanation:

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3 years ago

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