the difference of a positive integer and its inverse is 15/4. find the integer

To find the exact temperature of a glass of water in degrees Celsius, a thermometer operating on the Celsius scale is used. The Celsius scale marks water's freezing point as 0 °C and it's boiling point as 100 °C with 100 equal intervals in-between these points. Note that the specific heat of water, the amount of heat needed to increase the temperature, is greater than many substances including glass.

In order to determine the exact temperature of a glass of water in degrees Celsius, you will use a thermometer that operates on the Celsius scale. The freezing and boiling points of water are key reference points on this scale. When using the Celsius scale, the freezing point of water is defined as 0 °C and the boiling point as 100 °C. The space between these two temperatures is divided into 100 equal intervals, which we define as degrees. Likewise, the Fahrenheit scale has the freezing point of water at 32 °F and the boiling point at 212 °F, a 180-interval scope which is also divided into degrees. Consequently, one degree difference on the Celsius scale is equivalent to 1.8 degrees Fahrenheit difference. Furthermore, the SI unit of temperature is the kelvin (K), but also widely used is the degree Celsius (°C).

The specific heat of a substance, in this case water, also plays a role. The specific heat of water is noticeably higher than that of glass, meaning that more heat is required to raise the temperature of water than glass by an equal number of degrees. Exact values of specific heat for different substances, including water, often have to be looked up in tables because there is no straightforward way to calculate them.

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The algebraic expression for how many candies each girl gets if Sam, Liz, and Ann, who initially had s, l, and a candies respectively, share all their candies evenly is (s + l + a) / 3.

This question is referring to a problem in basic algebra. Here we have three individuals: Sam, Liz, and Ann. They each start with a certain number of candies, represented by the variables s, l, and a respectively. The question is asking how many candies each girl has if they all share their candies evenly.

To find this, you would first add up all the candies, which can be represented algebraically as (s + l + a). Since they share equally, you would divide the total number of candies by the number of girls which is three in this scenario. The algebraic expression to represent this would be (s + l + a) / 3. So, each girl gets (s + l + a) / 3 candies.

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Answer:

[tex]x=\frac{m-9}{3-d}[/tex]

Step-by-step explanation:

We have been given an equation [tex]m=9+3x-dx[/tex]. We are asked to solve the given equation for x.

Subtract 9 from both sides:

[tex]m-9=9-9+3x-dx[/tex]

[tex]m-9=3x-dx[/tex]

Factor out x from right side:

[tex]m-9=x(3-d)[/tex]

Switch sides:

[tex]x(3-d)=m-9[/tex]

Divide both sides by [tex](3-d)[/tex]:

[tex]\frac{x(3-d)}{3-d}=\frac{m-9}{3-d}[/tex]

[tex]x=\frac{m-9}{3-d}[/tex]

Therefore, the value of x is [tex]\frac{m-9}{3-d}[/tex].

break 96 into multiples of 6

96 = 60 +30 +6

60/6 =10

30/6 = 5

6/6 =1

10+5+1 = 16

so 96/6 = 16

Answer:I actually just wanted to say to the person who answered it I’m so sorry I meant to give you 5 stars but I messed it up and don’t know how to change it I’m so sorry!

Step-by-step explanation:

We could make 1718 using only hundreds tens and ones blocks in two different ways as 17-hundred blocks 1-ten block 8-ones block and, 10-hundred blocks 70-ten blocks 18-one block.

The place values on left of decimal point start as ones, tens, hundreds, and so on.....

The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on....

The tens means multiply by 10..

The tenth means tenth part of that digit which is that digit divided by 10...

WE need to find a way to make 1718 using only hundreds tens and ones blocks in two different ways.

Therefore,

It could be 17-hundred blocks 1-ten block 8-ones block

Also, 10-hundred blocks 70-ten blocks 18-one block

Hence, We could make 1718 using only hundreds tens and ones blocks in two different ways as 17-hundred blocks 1-ten block 8-ones block and, 10-hundred blocks 70-ten blocks 18-one block.

Learn more about place value here:

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In mathematics, you can identify whether each number (9 to 14) as a fraction (with 1 as the denominator) is closest to 0, 1/2, or 1 by comparison. For instance, 9/1 is closest to 1 since it's greater than 1.

In the context of mathematics, the task is to identify whether the fraction is closest to 0, 1/2, or 1. Here's how you can do this:

This process can be applied to each of the numbers provided. Remember that in mathematics, the concept of a fraction is simply a way to represent division and ratio.

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Let

x------>  the first even integer

x+2---->the second even integer

x+3---->the third even integer

we know that

[tex]x+(x+2)+(x+4)=36[/tex] -----> equation that represent the situation

solve for x

Combine like terms in the left side

[tex](x+x+x)+(2+4)=36[/tex]

[tex]3x+6=36[/tex]

therefore

the answer is the option B

[tex]3x+6=36[/tex]

The equation that can be used to find the first integer is B) 3x + 6 = 36

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

[tex]\large {m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

[tex]\boxed {y - y_1 = m ( x - x_1 )}[/tex]

Let us tackle the problem.

Given:

The First Integer = x

The Second Integer = x + 2

The Third Integer = x + 4

The sum of three consecutive even integers is 36.

[tex]\texttt{The First Integer + The Second Integer + The Third Integer = 36}[/tex]

[tex]x + (x + 2) + (x + 4) = 36[/tex]

[tex]x + x + x + 2 + 4 = 36[/tex]

[tex]\large {\boxed {3x + 6 = 36} }[/tex]

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

Answer: 4.2%

Step-by-step explanation:

The deck has 52 cards, and a standard deck has 13 cards of each type, so there are 13 diamond cards.

Then the probability of drawing a random card that is a diamond card is equal to the number of diamonds card divided by the total number of cards:

p1 = 13/52 = 0.25

now, for the dice we have that the dice has 6 sides, but only one side has a 1, so the probability is;

p2 = 1/6 = 0.167

Now, the probability of both events happening at the same time, is equal to the product of both probabilities is:

P = p1*p2 = 0.25*0.167 = 0.042

So the probability is 0.042*100% = 4.2%

sqrt(60) =7.745967 rounded to nearest 100th = 7.75

58/8 = 7.25

7.3 rounded to nearest 100th = 7.33

7 3/5 = 7.6

7.6 +7.33 +7.25+7.75 = 29.93/4 = 7.4825 = 7.48km

Answer:

The correct option is 3.

Step-by-step explanation:

The slope intercept form of a line is

[tex]y=mx+b[/tex]                  ..... (1)

where, m is slope and b is y-intercept.

From the given graph it is clear that the graph intersect the y-axis at (0,2). So, the y-intercept of the line is 2.

The line passes through the points (0,2) and (4,3). So, the slope of the line is

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{3-2}{4-0}[/tex]

[tex]m=\frac{1}{4}[/tex]

Substitute [tex]m=\frac{1}{4}[/tex] and b=2 in equation 1.

[tex]y=\frac{1}{4}x+2[/tex]

The equation of line is [tex]y=\frac{1}{4}x+2[/tex].

Therefore the correct option is 3.