solve the question below, please..

Answer:

x = 55/3

Step-by-step explanation:

1/5x - 3 = 2/3

You want to move the constant of 3 to the right side.

1/5x = 2/3 + 3

To combine 2/3 and 3, set a common denominator.

1/5x = 2/3 + 9/3

Add.

1/5x = 11/3

Divide by 1/5 or multiply by 5/1 to isolate x.

x = 11/3(5/1)

x = 55/3

Answer:

[tex] \frac{1}{5} x - 3 = \frac{2}{3} \\ \frac{1}{5} x = 3 + \frac{2}{3} \\ \frac{1}{5} x = \frac{11}{3} \\ \boxed{x = \frac{55}{3} }[/tex]

x= 55/3 is the right answer.

Answer:

0

Step-by-step explanation:

Answer:

(y - 9) - 8

Step-by-step explanation:

answer

The 3 lb bag of cat food would last for 4 weeks.

Step-by-step explanation:

C.8.0×102

Answer:

Gradient of parallel line= 7

Gradient of perpendicular line [tex] = - \frac{1}{7} [/tex]

Step-by-step explanation:

The equation of the line is already in slope-intercept form (y= mx +c). This means that the coefficient of x is the gradient and the constant -3 is the y-intercept of the line.

y= 7x -3

Gradient= 7

Parallel lines have the same gradient.

Thus, the slope of the line parallel to this line is also 7.

The product of the gradients of 2 perpendicular lines is -1.

(Gradient of perpendicular line)(7)= -1

Gradient of perpendicular line

= -1 ÷7

[tex] = - \frac{1}{7} [/tex]

Hello! :)

Parallel lines have the same slope.

If one line has a slope of 7, then the line parallel to it has a slope of 7 as well.

Now, perpendicular lines have slopes that are opposite reciprocals. It means we take the slope of one line, make it negative, and flop it over:

[tex]7\\-7\\-\frac{1}{7}[/tex]

Hope it helps. Feel free to ask me if you have any questions.

~A determined teen

[tex]MagicalNature[/tex]

Answer:Choice A)  All points with an x-value of 3 are located in Quadrant I.

We can show it is false through the use of a counter example. For instance, the point (3, -5) is not in quadrant 1, but rather in quadrant 4.

We would need to say "all points with x value 3 and positive y value" to ensure the point is in quadrant 1.

Step-by-step explanation:

Total price = Marked price + Sales tax

= Marked price + (0.1 * Marked price)

= 1.1 * Marked price.

Since the total price is $660, the marked price is $660 / 1.1 = $600.

Answer: 129

Step-by-step explanation: 43•3=129

Answer:

48 centimeters by 27 centimeters

Step-by-step explanation:

we need the ratio of 16:9

option a) 48:27 ( divide by 3 each side) --> 16:9

Step-by-step explanation:

Volume of square pyramid

= (Base length)² * (Height/3).

Therefore we have 8 = 2² * (h/3).

=> 8 = 4 * (h/3), h/3 = 2, h = 6.

Hence the height is 6 feet. (1)

Answer:

id say D

Step-by-step explanation:

Think about it. It moves over tree times from the first spot. so D is most reasonable.

Answer:

Factory

Step-by-step explanation:

Answer:

factory

Step-by-step explanation:

Answer:

A. 8/5

Step-by-step explanation:

first, you add the bottom and get 5 then you end up with 8 over 5 or answer choice A

Answer:

a

Step-by-step explanation:

g/2+3

g=8

8/2+3

2+3=5

g/2+3=8/5

Answer:

Step-by-step explanation:

you have to use the quadratic equation,

and we will get 2 roots,

x=1 and x=-6

(x-1)(x+6)

Answer:

x [tex]\leq[/tex] -4

Step-by-step explanation:

1. 3x-12 [tex]\geq[/tex] 7x+4

add 12 to 12 to cancel it out, add 12 to 4.

2. 3x [tex]\geq[/tex] 7x+16

subtract 7x from 7x to cancel it out, subtract 7x from 3x.

3. -4x [tex]\geq[/tex] 16

divide -4 from -4x to cancel it out, divide -4 from 16.

4. x [tex]\geq[/tex] -4

since division was involved, the inequality symbol needs to be reversed.

ANSWER: x [tex]\leq[/tex] -4

Answer:

a) 0.398 = 39.8% probability that the sample contains exactly one defective item.

b) 0.9021 = 90.21% probability that the sample contains at most one defective item.

Step-by-step explanation:

The itens are chosen without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Suppose there are 3 defective items in a lot (collection) of 50 items

This means that [tex]k = 3, N = 50[/tex]

Sample of 10

This means that [tex]n = 10[/tex]

(a) exactly one defective item.

This is P(X = 1). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 1) = h(1,50,10,3) = \frac{C_{3,1}*C_{47,9}}{C_{50,10}} = 0.398[/tex]

0.398 = 39.8% probability that the sample contains exactly one defective item.

(b) at most one defective item.

This is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]. So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,50,10,3) = \frac{C_{3,0}*C_{47,10}}{C_{50,10}} = 0.5041[/tex]

[tex]P(X = 1) = h(1,50,10,3) = \frac{C_{3,1}*C_{47,9}}{C_{50,10}} = 0.398[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5041 + 0.398 = 0.9021[/tex]

0.9021 = 90.21% probability that the sample contains at most one defective item.

Answer:

x+-3

Step-by-step explanation:

Option D is correct, tossing a coin 3 times is a simple event.

It is a branch of mathematics that deals with the occurrence of a random event.

A simple event is a single outcome or result of an experiment or probability experiment.

In option D, the simple event is tossing a coin once and getting either a heads or a tails.

Since the event is repeated three times, there are a total of 8 possible outcomes (HHH, HHT, HTH, THH, TTH, THT, HTT, TTT).

However, each of these outcomes is made up of three simple events, which are the individual tosses of the coin.

In options A and B, there are multiple events happening, each of which has multiple possible outcomes, so they do not describe a simple event. In option C, there is only one event happening, but there are multiple possible outcomes of that event, so it also does not describe a simple event.

Hence, Option D is correct, tossing a coin 3 times is a simple event.

To learn more on probability click:

https://brainly.com/question/11234923

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Answer:

In four minutes Heather can ring up 52 maybe even 53 customers.

Step-by-step explanation:

To find this answer you would have to find how many customers Heather can rind up in one minute. To do this you can do 121 divided by 9 which equals about 13 so you can use 13. And then you would do 13 times 4 because that's how many minutes the question is asking for, and your answer would be about 52, so your answer is about 52 close to 53, you might not get an exact answer for a problem like this. :)

Answer:

1. 19/100

2. 3/10

3. 80%

4. 85%

5. 3/20

Answer: 95

Step-by-step explanation:

follow the order of operations P.E.M.D.A.S

First multiply 15 with 5 and you get 75. Next, 14+75=99

now for the last part 2^2 is 4

99-4=95

if it’s not 95 it’s 85

9514 1404 393

Answer:

  D)  4.8 MB per minute

Step-by-step explanation:

In the 15 minutes between 1 pm and 1:15 pm, the number of megabytes downloaded was 96 -24 = 72. The rate of download is ...

  (72 MB)/(15 min) = 4.8 MB/min

Answer:

275 days

Step-by-step explanation:

From August 21 to May 23, there is 275 days!

Answer:

greater than

Step-by-step explanation:

2/2 = 1

3/2 = 1 1/2

Answer:

-13+n

Step-by-step explanation:

n stands for a number

Answer:The x-axis is a horizontal line with the equation y = 0. The line parallel to the x-axis through the given point is y = 4, which is another horizontal line which has a slope of 0, which is true of any horizontal line.

Answer:

45%

Step-by-step explanation:

200g milk chocolate

200g dark chocolate

= 400g of chocolate

x = the %

x/100 = 180/400

18000 = 400x

x = 45

45%