Jeff adds 5 Xbox games to his collection but then has to give half of his collection away. He now has 8 Xbox games. How many Xbox games did Jeff originally have?

Assume that the number is x

The opposite of 3 is -3

Since the sum of the number and the opposite of 3 equals 4

Therefore:

Remember (+)(-) = (-), so

To find x we need to move 3 to the other side by adding 3 to both sides

Since x represents the number, so

The number is 7

Let us check the answer

7 + -3 = 4

The answer is correct

Answer: 17.75 deliveries made per hour

Step-by-step explanation:

71/4 = how many deliveries made per hour.

In this case, the experimental probability is D. 0.860

First, note that Experimental probability, also known as Empirical probability, is founded on real experiments and adequate documentation of events.

In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.

Then, the probability of rolling a 5 will be equal to:

P1 = 140/1000 = 0.14

Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:

P2 = 1 - 0.14 = 0.86

then the correct option is D

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he had rolled 140 fives. Find the experimental probability of not rolling a five, based in Jimmy’s experiment. Round the answer to the nearest thousandth.

A. 0.140

B. 0.167

C. 0.667

D. 0.860

Based on the provided voltage readings, the polarity of the single-phase transformer can be identified as follows: the dot notation represents the primary winding, while the numerical labels indicate the corresponding terminals.

The primary and secondary windings are denoted by L1 and L2, respectively. The polarities can be determined by observing the voltage readings across various terminal combinations.

To identify the polarity of a single-phase transformer, you can analyze the voltage readings obtained from different terminal connections. In this case, let's consider the given readings.

When measuring the voltage between L1 and L2, we obtain a reading of 121 volts. This indicates the voltage across the primary and secondary windings in the same direction, suggesting a non-reversed polarity.

Next, measuring the voltage between terminals 1 and 4 while connecting terminals 2 and 3 results in a reading of 26.47 volts. This implies that terminals 1 and 4 have the same polarity, while terminals 2 and 3 have opposite polarities.

Similarly, when connecting terminals 2 and 4 and measuring the voltage between terminals 1 and 3, a reading of 7.32 volts is obtained. This indicates that terminals 1 and 3 have the same polarity, while terminals 2 and 4 have opposite polarities.

For the combination of terminals 6 and 7, a voltage reading of 25.78 volts is measured between terminals 5 and 8. This suggests that terminals 5 and 8 have the same polarity, while terminals 6 and 7 have opposite polarities.

Lastly, when connecting terminals 5 and 7 and measuring the voltage between terminals 6 and 8, a reading of 5.42 volts is obtained. This indicates that terminals 6 and 8 have the same polarity, while terminals 5 and 7 have opposite polarities.

By considering the polarity relationships observed in these readings, we can conclude that the primary and secondary windings of the single-phase transformer have the same polarity. The dot notation indicates the primary winding, and the numerical labels represent the terminals.

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The solution to the given differential equation is \(y = a_0x^{[0]} + a_1x^{[1]} + a_2x^{[2]}\), where a_0, a_1, and a_2 are constants.

To fathom the given differential equation, xy'' + y' = 0, we will begin by expecting a control arrangement of the frame y = ∑(n=0 to ∞) a_nx^n, where a_n speaks to the coefficients to be decided.

Separating y with regard to x, we get:

\(y' = ∑(n=0 to ∞) a_n(nx^[(n-1))] = ∑(n=0 to ∞) na_nx^[(n-1)]\)

Separating y' with regard to x, we get:

\(y'' = ∑(n=0 to ∞) n(n-1)a_nx^[(n-2)]\)

Presently, we substitute these expressions for y and its subsidiaries into the differential condition:

\(x(∑(n=0 to ∞) n(n-1)a_nx^[(n-2))] + (∑(n=0 to ∞) na_nx^[(n-1))] =\)

After improving terms, we have:

\(∑(n=0 to ∞) n(n-1)a_nx^[(n-1)] + ∑(n=0 to ∞) na_nx^[n] =\)

Another, we compare the coefficients of like powers of x to zero, coming about in a boundless arrangement of conditions:

For n = 0: + a_0 = (condition 1)

For n = 1: + a_1 = (condition 2)

For n ≥ 2: n(n-1)a_n + na_n = (condition 3)

Disentangling condition 3, we have:

\(n^[2a]_n - n(a_n) =\)

n(n-1)a_n - na_n =

n(n-1 - 1)a_n =

(n(n-2)a_n) =

From equation 1, a_0 = 0, and from equation 2, a_1 = 0.

For n ≥ 2, we have two conceivable outcomes:

n(n-2) = 0, which gives n = or n = 2.

a_n = (minor arrangement)

So, the solution to the given differential equation is \(y = a_0x^{[0]} + a_1x^{[1]} + a_2x^{[2]}\), where a_0, a_1, and a_2 are constants.

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The correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

A bleach and water solution with a 2:3 ratio means that for every 2 parts of bleach, there should be 3 parts of water. This ratio is typically expressed in terms of volume or quantity.

To understand this ratio, let's break it down using different units:

A. 1/3 part bleach and 2/3 part water:

If we consider 1/3 part bleach, it means that for every 1 unit of bleach, there should be 2 units of water. However, this does not match the given 2:3 ratio.

B. 2 cups of bleach and 3 cups of water:

If we consider cups as the unit of measurement, this means that for every 2 cups of bleach, there should be 3 cups of water. This matches the given 2:3 ratio, making it a valid interpretation.

C. 3 cups of bleach and 2 cups of water:

If we consider cups as the unit of measurement, this means that for every 3 cups of bleach, there should be 2 cups of water. However, this interpretation does not match the given 2:3 ratio.

Based on the given options, the correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

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Answer:

Solution given:

<J=90°[tangent to the circle is perpendicular to radius]

In right angled triangle ∆KJL

base[b]=7

hypotenuse [h]=x

perpendicular [p]=19

by using Pythagoras law

p²+b²=h²

19²+7²=x²

x=√410

x=20.248

Infinitely many solutions

The given system of equations is:

12x + 6y = 6..........(1)

4y = -8x + 4............(2)

Divide equation (1) by 6

Divide equation (2) by 4

Equations (1) and (2) are equal, they have infinitely mny solutions

To prove that f is one-to-one function, it must be proven that f(x1)=f(x2) and x1=x2.

What is a one to one function?

The mapping of two sets is essentially what a one to one function refers to. When every element in a function's range and domain match exactly one another, the function is said to be one-to-one.

The one-to-one function, also known as an injective function, is one of the many different types of functions.

A function that transfers different components of its domain to different elements of its codomain is known as a one-to-one function.

For example, a function  f:A→B  is said to be one-to-one if -

f(x1)=f(x2)⇒x1=x2

for all elements x1,x2∈A.

To prove  f:A→B  is one-to-one -

Consider the fact that f(x1)=f(x2).  

Then it must be true that x1=x2.

Therefore, it is now understood that f is one-to-one by definition if f(x1)=f(x2) and x1=x2.

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The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Answer:

slope = \(\frac{5}{8}\)

Step-by-step explanation:

Slope-intercept form is the way in which an equation is written to easily identify the line's slope and y-intercept. It is represented by the equation y = mx + b, in which m represents the slope.

By looking at the equation, we can see that it takes the y = mx + b format - y is isolated - therefore it is in slope-intercept form. Remember that the number in place of the m would represent the slope - and in this case, that number is \(\frac{5}{8}\).

Final Answer:

\(\sf{Slope = \dfrac{5}{8}}\\\sf{Y-intercept: -\dfrac{1}{2}}\)

In-depth explanation:

The question is asking us to find the slope of the line, whose equation is;

\(\leadsto\quad\bf{y=\dfrac{5}{8}x-\dfrac{1}{2}}\)

The format of this equation is: \(\boldsymbol{\sf{y=mx+b}}\). This is known as slope-intercept; it's the most common way of writing the equation of a line.

In y = mx + b, the variable "m" denotes the slope, or the rate of change, of a line; b denotes the y-intercept, or the point where the line intercepts the y-axis.

Also, the slope is the number before x, while b is the constant term.

Similarly, the slope is 5/8 and the y-intercept is -1/2.

\(\rule{350}{2}\)

96% percentage is the difference between 17/100 x 20 and 17/20 x 100

The difference between (17/100) x 20 and (17/20) x 100 can be calculated by finding the absolute difference between the two values and expressing it as a percentage of the larger value.

First, let's calculate each expression:

(17/100) x 20 = 0.17 x 20 = 3.4

(17/20) x 100 = 0.85 x 100 = 85

The difference between these two values is |85 - 3.4| = 81.6.

To express this difference as a percentage of the larger value, we divide 81.6 by the larger value (85 in this case) and multiply by 100:

(81.6 / 85) x 100 = 96%

Therefore, the difference between (17/100) x 20 and (17/20) x 100 is approximately 96% of the larger value.

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The solution is Option A.

The value of the equation is x = 2

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The number of small boxes in the right side of the equation = 10 boxes of 1

So , the value of A = 10

The number of small boxes in left side of the equation = 4 boxes of 1

The number of x in the equation = 3x

So , the equation is

3x + 4 = 10   be equation (1)

On simplifying the equation , we get

Subtracting 4 on both sides of the equation , we get

3x = 6

Divide by 3 on both sides of the equation , we get

x = 6/3

x = 2

Hence , the value of the equation is x = 2

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The iterated integral in polar coordinates will be:

∬R fdA = ∫c^d ∫a^b f(r,θ) r dr dθ.

Since the problem does not provide a specific description or image of the region R, I am unable to determine the values of a, b, c, and d. However, I can explain the general process of setting up an iterated integral in polar coordinates.

In polar coordinates, the differential area element is given by dA = r dr dθ, where r represents the radial distance and θ represents the angle.

To write the double integral in polar coordinates, you need to determine the limits of integration for r and θ.

The integral limits for r will depend on the boundaries of the region R in the radial direction. These limits can be expressed as a ≤ r ≤ b.

The integral limits for θ will depend on the boundaries of the region R in the angular direction. These limits can be expressed as c ≤ θ ≤ d.

Please provide a more specific description or image of the region R in order to determine the values of a, b, c, and d, as well as the differential element dA.

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For the region R below, write ∬R​fdA as an iterated integral in polar coordinates. With a= ___ , b=___, c=______ and d= ______. ∬R​fdA=∫ab​∫cd​fdA, where dA= ____ d___ d____

(a) Probability of drawing neither a red card nor a 7 = 30/52 = 15/26. (b) Odds in favor of the event = 5/3.

(a) To find the probability that the card is neither a red card nor a 7, we need to count the number of cards that are not red or 7 and divide it by the total number of cards. There are 26 black cards (13 clubs and 13 spades) and 4 sevens that are not red, so there are 26 + 4 = 30 cards that are neither red nor 7. Therefore, the probability of drawing a card that is neither a red card nor a 7 is 30/52, which simplifies to 15/26.

(b) The odds in favor of the event of drawing a card that is neither a red card nor a 7 can be found by dividing the probability of the event by the probability of its complement (drawing a red card or a 7). The probability of drawing a red card or a 7 is 18/52 (26 red cards minus 4 black sevens plus 2 red sevens), which simplifies to 9/26. Therefore, the odds in favor of the event are (15/26)/(9/26), which simplifies to 5/3.

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Complete question is in the image attached below

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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Answer:

If we let the number be represented by the variable "x", then "three less than a number" can be expressed as:

x - 3

Answer:

y = 5/3x + 13/3

Step-by-step explanation:

slope intercept form is y = mx + b

to find the slope of a line using two points, you use the formula

m = (y2-y1)/(x2-x1)

(-2,1) (1,6)

(6 - 1)/(1 + 2)

5/3 is the slope

to solve for b, you take one of the points in the given and the slope (m) and solve for b

y = mx +b

y = 5/3x + b

6 = 5/3(1) + b

6 = 5/3 + b

18/3 = 5/3 + b

13/3 = b

now put the entire equation together

y = 5/3x + 13/3

Answer:

by dividing it= 4/11

=0.363636363636

Explanation:

The converse of the pythagorean theorem has 3 cases

a = 2, b = 2, c = 3 are the three sides. C is always the largest side.

\(a^2+b^2 = 2^2+2^2 = 8\)

\(c^2 = 3^2 = 9\)

We can see that \(a^2+b^2 < c^2\)  (since 8 < 9), which leads to the triangle being obtuse. The obtuse angle is opposite the longest side.

You can use a tool like GeoGebra to confirm the answer.

The vectors are:

To find the vectors:

Use the graph to solve the problem:

We can add and subtract the vectors:

-To find b - a subtract a from b:

2a means multiply vector a by 2:

Now let's find the resulting vector 2a - b.

- Subtract b from 2a:

The resulting vector 2a - b is <8, -9>

Therefore, the vectors are:

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The complete question is given below:

The graph shows vectors a and b the resulting vector for b - a is blank, blank >, and the resulting vector for 2a -b is < blank, blank >.

2a , 1st exp= a2 + ab

= a(a+b)

2nd exp = a2-b2

= (a+b) (a-b)

HCF = (a+b)

b, 1 st exp= (a+b)2

= (a+b)(a+)

2 nd exp = a2-b2

= (a+b) ( a-b)

HCF = (a+b)

c, 1 st exp= (a-1)2

= (a+1) (a-1)

2nd exp= a2-1

= (a+1)(a-1)

HCF = (a-1)

d, 1st exp= (x-2)(x-3)

= x(x-3)-2(x-3)

= x2 - 3x - 2x + 6

= x2- 5x+ 6

= x2 - (3+2)x + 6

=x2 -3x-2x+ 6

= x(x-3) -2(x-3)

=(x-3)(x-2)

2 nd exp = (x+2) (x-3)

= x( x-3) + 2 (x-3)

= x2 - 3 x+ 2x -6

= x(x-3) + 2(x-3)

=(x-3) ( x+ 2)

HCF = (x-3)

Its value is 1 ..

please mark me as branlist

Answer:

1

Any number raised to the power 0 is 1

Answer:

  t = x +4.75

Step-by-step explanation:

You want the linear function rule relating t to x, given (x, t) = (4, 8.75) and (9, 13.75).

The slope of the function can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (13.75 -8.75)/(9 -4) = 5.00/5 = 1.00

The y-intercept of the function can be found from ...

  b = y -mx

  b = 8.75 -(1.00)(4) = 4.75

The slope-intercept equation is of the form ...

  y = mx +b

For m=1 and b=4.75, and using t instead of y, we have ...

  t = x +4.75 . . . . linear function rule

Answer: Choice D) earns 5 times as many points compared to previous level

Reasoning:

Let's say she's at level x = 1. That means she earns y = 5^x = 5^1 = 5 points.

At level x = 2, she earns y = 5^x = 5^2 = 25 points

When x = 3, we have y = 5^x = 5^3 = 125 points

And so on. Each new level earns her 5 times as many points as the previous level.

Answer:

2.3 pages per minute

Step-by-step explanation: