Find the value of x when 2(x - 3) + 1 = 3x + 4
A) -1
B) -1/5
C) -9/5
D) -9

To demonstrate proportionality between two objects, utilize a table to observe constant ratios, plot points on a graph to confirm a linear relationship passing through the origin, and formulate an equation representing the proportional relationship.

To demonstrate proportionality between two objects, you can use a table, graph, and equation.

Firstly, create a table with corresponding values of the two objects. If they are proportional, their ratios should remain constant.

Secondly, plot the points on a graph with one object on the x-axis and the other on the y-axis.

If the points form a straight line passing through the origin, it indicates proportionality.

Lastly, formulate an equation representing the relationship between the two objects.

For example, if the objects are x and y, and they are proportional, then y = kx, where k is the constant of proportionality.

By analyzing the table, graph, and equation, you can conclusively establish proportionality between the two objects.

Keywords:

Tank, capacity, water, gallons, rule of three, variable, days

For this case we have a tank with a capacity of 18,000 gallons, we want to know how many days 12000 gallons of the tank are emptied, with the use of water following an average rate of 450 gallons per day. So we make a rule of three according to the use of water per day:

450 gallons -----------> 1 day

12000 gallons -------> x

Where the variable "x" represents the number of days when water takes to reach 6000 gallons.

[tex]x = \frac {12000 * 1} {450}\\x = 26.67[/tex]

Rounding the nearest whole we have:

[tex]x = 27[/tex]

Answer:

For the tank to go from 18,000 gallons of water to 6000 gallons of water, it should take approximately 27 days, using the water at an average rate of 450 gallons per day.

[tex]x = 27\ days[/tex]

There were 85 innings last question and 130 walks + hits which gave a whip score of 1.53 if  WHIP= (Walks+Hits).

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Using the portions: WHIP= (Walks+Hits) divide by Innings Pitched. The pitcher wants to lower his WHIP from 1.53 to 1.3.

From the question:

130 / (85 + x) = 1.3

After solving:

19.5 = 1.3x

x = 15

To achieve a target of 1.3 whip score, he would need to pitch 15 more innings without issuing any walks or hits.

Thus, there were 85 innings last question and 130 walks + hits which gave a whip score of 1.53 if  WHIP= (Walks+Hits).

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Answer:

the answer is y-5=-5(x-2)

Step-by-step explanation:

I got a one hundred on my quiz so I know for sure this is correct. Also It make sense when you do the math. brainiest pls

A quart is larger than a pint, as 1 quart equals 2 pints or 4 cups.

In the US customary system of measurement, both pints and quarts are units of volume. Here's the relationship between them:

1 pint = 2 cups

1 quart = 2 pints

To compare the two, let's convert them to a common unit, such as cups:

1 quart = 2 pints = 2 * 2 cups = 4 cups

Since 1 quart equals 4 cups and 1 pint equals 2 cups, it is evident that a quart is larger than a pint. It contains twice the volume of a pint.

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Answer

Find out the  how far above the water surface is the top of the pipe .

To prove

As given

A pipe that is 3.1 meters long is placed vertically in a pond.

Its lowest point is 1.5 meters under the water surface.

thus

The  top of the pipe far above the water surface = 3.1 - 1.5

                                                                                = 1.6 meter

Therefore the   top of the pipe far above the water surface is 1.6 meter .

Answer:its 163 or -163

Step-by-step explanation:

The requried ratio of the mark let to the amount of money Fred had left is 3:4.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
mark an Fred had some money in the ratio 6:1. Mark gave half of his money to Fred.
Total proportion of money = 6 + 1 = 7,
Now,
assume that Mark has 6 coins and Fred has 1 coin,
Mark giving half of his coin to Fred means mark give 3 coins to fred,
Now,
Mark has 3 coins and Fred has 4 coins,
the ratio is given as
= 3 / 4

Thus, the requried ratio of the mark had left to the amount of money fred had left is 3:4.

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Lisa gets a change amount of [tex]\fbox {\begin\ \bf \$ 3.89\\\end{minispace}}[/tex] when she pays a ten-dollar bill for two clipboards and a notebook.

Further explanation:

It is given that the cost of a clipboard is [tex]\$\ 2.23[/tex].

Also, it is known that the clipboard costs [tex]\$\text{ }0.58[/tex] more than a notebook so the cost of one notebook is calculated as,

[tex]\fbox {\begin\\\\\begin{aligned}\text{Cost of a notebook}&= 2.23-0.58\\&=1.65\end{aligned}\end{minispace}}[/tex]

Lisa bought two clipboards and one notebook then the total cost for items bought is obtained as the sum of cost of two clipboard and cost of one notebook.

[tex]\fbox {\begin\\\\\begin{aligned}\text{Total cost of two clipboard and one notebook}&= 2.23+2.23+1.65\\&=6.11\end{aligned}\end{minispace}}[/tex]

Lisa paid a ten dollar bill for the purchase of two clipboard and one notebook, so the total change she should get back is obtained as the difference of total cost of two clipboard and one notebook from the total paid price.

The tape diagram for the price paid for two clipboards and one notebook that Lisa bought is as shown in Figure 1 (attached at the end).

Therefore, the change that Lisa gets back is calculated as,

[tex]\boxed{\begin{aligned}\text{Change that Lisa gets}&= 10-6.11\\&=3.89\end{aligned}}[/tex]

Thus, the change amount that Lisa gets after she paid ten dollar for two clipboard and one notebook is [tex]\fbox {\begin\ \bf \$ 3.89\\\end{minispace}}[/tex].

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Answer details

Grade: Middle school  

Subject: Mathematics  

Chapter: Simplification

Keywords: notebook, clipboard, ten-dollar bill, paid, costs, Lisa, bought, $2.23, $0.58, $4.46, change amount, total cost, amount, two clipboards.

Answer:

6x-3 is going to be 9x and then add x+2 then it equals 11x :)

Step-by-step explanation: