Kevin went to see his favorite sport team play. His car can go 400 miles on one tank of gas. If he used 30% of a full tank of gas, how many
miles did he travel?

Relation C: {(3,4), (3,5)} does not represent a function because it has the same first component with different outputs.

In Mathematics, a relation is defined as a set of ordered pairs. A relation is considered as a function if for each input (x value), there is exactly one output (y value). In other words, no two distinct ordered pairs in the function have the same first component. Looking at the options given:

The relation C. {(3,4), (3,5)} does not represent a function because there are two distinct ordered pairs with the same first component (or x-value) which is 3, but with two different y-values which are 4 and 5. Therefore, this relation violates the definition of a function.

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Final answer:

The relation that does not represent a function is Option C: {(3, 4), (3, 5)} because the number 3 in the domain is paired with two different values in the range, contradicting the definition of a function.

Explanation:

The relation that does not represent a function is Option C: {(3, 4), (3, 5)}. This is because a function is defined as a set of ordered pairs where each element of the domain (the first value in each pair) must correspond to exactly one element in the range (the second value in each pair). Option C depicts the number 3 in the domain being paired with both 4 and 5 in the range, which violates this rule. Therefore, Option C does not satisfy the definition of a function.

Option A, B, D, and E each show that every element of the domain is matched with only one unique value in the range, indicating they are all functions.

Answer:

Option B

Step-by-step explanation:

Answer:

is A , D , C

maybe b not sure

Answer:

first one

Step-by-step explanation:

same x value can't have more than one y value

Please find the attached file.

We have been given am image of point B on coordinate plane. We are asked to plot the mage of point B under a dilation about point P  with a scale factor of [tex]\frac{1}{2}[/tex].

To solve our given problem, we need to find vertical distance and horizontal distance between point B and point P.  

We can see that vertical distance is 4 units as shown in the attachment and horizontal distance is 6 units.

Since the scale of dilation is [tex]\frac{1}{2}[/tex], so the vertical distance between point P and B' would be [tex]\frac{1}{2}[/tex] of 4 that is [tex]\frac{1}{2}(4)=2[/tex].

The horizontal distance between point P and B' would be [tex]\frac{1}{2}[/tex] of 6 that is [tex]\frac{1}{2}(6)=3[/tex].

Now we will count 3 units to left of point P and 2 units upwards. That will be the position of point B'.

The below-attached graph represents the image of point B under a dilation about point P with a scale factor of 1/2.

To plot the image of point B under a dilation about point P with a scale factor of 1/2, follow these steps:

The point where this line intersects the vertical line through point C will be the image of point B under the dilation with a scale factor of 1/2.

Thus, the image of point B will be half as far away from point P as point B.

Hence, the below-attached graph represents the image of point B under a dilation about point P with a scale factor of 1/2.

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Ben's weekly unemployment compensation is $956.15

A percentage is a number or ratio expressed as a fraction of 100. It is generally denoted using the percent sign ''%''.

Now it is given that,

Weekly unemployment compensation = 55%

Ben earned a total in July, August, and September = $22,400

And in October, November, and December = $22,800

Therefore, his total compensation for the six month period = $22,400 + $22,800 = $45,200

his average weekly salary = $45,200 / 26 weeks = $1,738.46

Ben's unemployment compensation = $1,738.46 x 55% = $956.15

Hence,Ben's weekly unemployment compensation is $956.15

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To determine Ben's weekly unemployment compensation, we need to calculate the average of his two highest-salaried quarters and then multiply it by 55%.

Therefore, Ben's weekly unemployment compensation is $4,106.67.

To determine Ben's weekly unemployment compensation, we need to calculate the average of his two highest-salaried quarters and then multiply it by 55%. First, let's calculate the average for each quarter:

Next, let's determine the two highest averages:

Now, we can calculate the weekly unemployment compensation:

The highest average * 55% = $7,600 * 0.55 = $4,180

The second highest average * 55% = $7,466.67 * 0.55 = $4,106.67

Therefore, Ben's weekly unemployment compensation is $4,106.67.

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Answer:

Consider the system of equations, x – 2y = 8 and –2x + 4y = –16.

What is x – 2y = 8 in slope-intercept form?

y=(1/2)x - 4

What is –2x + 4y = –16 in slope-intercept form?

y=(1/2)x - 4

How many solutions will there be?

infinitely many solutions

What will the graph of the system look like?

the lines are exactly the same

(I answered using the other answer and it was incorrect. It autocorrected it to these answers. This answer is correct.)

Slope intercept form of the equation

[tex]x - 2y = 8 \\ y=\frac{1}{2}x-4[/tex]

Slope intercept form of the equation

[tex]-2x+4y=-16 \\y=\frac{1}{2}x-4[/tex]

Solution is infinite

Graph of the system are the lines that lies one above the other.

Given :

System of equations

[tex]x - 2y = 8 \\ -2x+4y=-16[/tex]

slope intercept form of the equation is y=mx+b

Lets solve each equation for y

[tex]x - 2y = 8 \\-2y=-x+8\\y=\frac{1}{2}x-4[/tex]

Slope intercept form of the equation

[tex]x - 2y = 8 \\ y=\frac{1}{2}x-4[/tex]

Lets solve the second equation for y

Slope intercept form of the equation

[tex]-2x+4y=-16\\4y=2x-16\\y=\frac{1}{2}x-4[/tex]

The slope intercept form of both the equations are same

So there are infinite solutions for the given system of equations.

When the solution is infinite then the graph of equation are the lines that lies one above the other .

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Answer:

c prt i suppose

Step-by-step explanation:

Answer:

A Lumber company

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

4, -8

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Let 1/x  = a &

1/y = b

So, now the equation:

2a +3b  = 13   --------------------(i)

5a - 4b  = -2  --------------------(ii)

To eliminate a, Multiply equation (i) by 5 and multiply (ii) by (-2)

(i)*5             10a  + 15b = 65

(ii)*(-2)        - 10a + 8b  = 4      ( Now add, a will be eliminated}

                            23b = 69

b= 69/23

b = 3

Plug in the value of b in equation (i)

2a + 3*3 = 13

2a + 9 = 13

2a  = 13 - 9

2a = 4

a= 4/2

a = 2  

Now a = 1/x   ------>x = 1/a = 1/2

b = 1/y ----------->y = 1/b = 1/3

[tex]x+y=\frac{1}{2}+\frac{1}{3}\\\\=\frac{1*3}{2*3}+\frac{1*2}{3*2}\\\\=\frac{3}{6}+\frac{2}{6}\\\\=\frac{5}{6}[/tex]

Answer:

9

Step-by-step explanation:

x=9

Answer:

Figure 2 and 3

Step-by-step explanation:

This question is incomplete, please find the figures in the attachment.

Number of cans of beans bought by Emery = 3

Total weight of cans = 2.4 pounds

weight of each can = [tex]\frac{2.4}{3}[/tex] = 0.8 pounds

If x be the number of cans and y represents the total weight then the model for this situation will be

y = 0.8x

Figure 1 :

From this graph weight of each can = [tex]\frac{20}{16}=1.25[/tex] pounds

so this graph is not the correct choice.

Figure 2:

From this graph weight of each can = [tex]\frac{8}{10}[/tex] = 0.8 pounds

So this graph is the correct choice.

Figure 3 :

From the given table, weight of each can = [tex]\frac{4}{5}=0.8[/tex] pounds

So the table shows the relationship.

Figure 4 :

From the given table, weight of each can = [tex]\frac{5}{4}[/tex] = 1.25 pounds

so this table is not the correct choice.

Therefore, figure 2 and 3 is illustrate the relationship.

Answer:

if you do not want to read the thing above me the answer is 2 and 3

Step-by-step explanation:

Answer:

[tex](2 \sqrt{3} )(3 \sqrt{12}) = 6 \sqrt{36} = 6(6) = 36[/tex]

Answer: C because if it says less than that means after

Answer:

15.425 cm is it without terms of pie

Step-by-step explanation:

you need to put it into terms of pie

Answer:

3pi + 6 units.

Step-by-step explanation:

The perimeter = the diameter + curved part.

Radius = 3 so the diameter = 2*3 = 6.

Length of the curved part = 1/2 * circumference of the circle = 1/2 * pi * diameter.

Perimeter = 6 + 1/2 pi * 6

= 3pi + 6 units.

Answer:

The answer is actually 103,000

Answer:103,000

Step-by-step explanation:

Answer:

75.3982236862

Step-by-step explanation:

Answer:

I believe the answer is 75.36

Answer:

100x

Step-by-step explanation:

4 in 4560 = 4000

4 in 241 = 40

4000 div by 40 = 100

Answer:

100

Step-by-step explanation:

i thihk

Answer:

knife = £5.52

Step-by-step explanation:

The 2 equations are

k = 3s → (1)

9s + 12k = 82.8 → (2)

Substitute k = 3s into (2)

9s + 12(3s) = 82.8

9s + 36s = 82.8

45s = 82.8 ( divide both sides by 45 )

s = 1.84

Substitute s = 1.84 into (1)

k = 3 × 1.84 = 5.52

The cost of 1 knife is £5.52

Answer:

15

Step-by-step explanation:

There are 15/5 in 3 cakes, since 1 cake has 5/5, so 3 is 15/5. if everybody gets one fifth, 15 people get the cake

Answer:

A total of 15 people will eat cake

Answer:

40

Step-by-step explanation:

5 + 2 = 7

140 div by 7 = 20

2 times 20 = 40

Answer:

P + 6

Step-by-step explanation:

Answer:

One less than 25, 24, times five is 120, and that is 4 times as much as 30 so you already know it is wrong.

Step-by-step explanation:

The distance between the two points (4, 1) and (10,9) is 10 units

Assume the points are A and B

The coordinates of the points are given as:

The distance (d) between two points A and B is calculated as:

[tex]d = \sqrt{(x_1 -x_2)^2 + (y_1 -y_2)^2}[/tex]

So, the above equation becomes

[tex]d = \sqrt{(4-10)^2 + (1 -9)^2}[/tex]

[tex]d = \sqrt{100}[/tex]

Take the positive square root of 100

[tex]d = 10[/tex]

Hence, the distance is 10

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Answer:

Step-by-step explanation:

 3x -  y  = -1

-3x + 3y = 27  

       2 y = 26

When adding, 3x + (-3x) = 0

3y - y = 2y

27- 1 = 26

Answer:

2y = 26

Step-by-step explanation:

Just did it.

Answer:

AA

Step-by-step explanation:

The question is about the congruency of two triangles DEF and XZY. A Congruence Theorem (SSS, SAS, ASA, or AAS) would demonstrate their congruence, but without specific measurements, we can't identify which theorem applies.

The subject area of this question is Geometry, more specifically, the concepts concerning triangles. The given notation, DEF - XZY, suggests that the student wants to establish the congruency between the two triangles DEF and XZY.

Based on the information provided, the student is likely referring to a Congruence Theorem, which is one of the primary methods to determine if two given triangles are congruent. The main Congruence Theorems are: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), and AAS (Angle-Angle-Side).

Without any additional specification, it's impossible to definitively say which theorem supports DEF - XZY. The student would need to provide specific measurements related to the triangles DEF and XZY, such as the lengths of the sides or the measures of the angles, to determine which Congruence Theorem applies.

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Answer:

mean = mode

Step-by-step explanation:

To make this easier, let's find the mean, median, and mode.

Mean: Sum of a set of numbers divided by number of terms

Median: Middle number of data when data is in numerical order

Mode: Number that occurs most often in data

To find the mean, add all the values together. -1 - 1 + 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 = 11. Now, divide by the number of terms, which is 11. 11/11 = 1. The mean is 1.

To find the median, look at the number in the middle of the data. -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3. The median is 1.

To find the mode, look at the number that occurs most often. There are 4 1's, so the mode is 1.

Since all numbers are equal, the only possible answer is the first option.

The mean, median, and mode are all equal; thus, a.) mean = mode is true.

Sum of all values: (-1) + (-1) + 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 = 11

Number of values: 11

Mean = Total sum / Number of values = 11 / 11 = 1

Arrange the values in ascending order: -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3

The middle value (6th value) is 1

Median = 1

The value that appears most frequently is 1 (occurs 4 times)

Mode = 1

Comparing these values:

Mean = 1

Median = 1

Mode = 1

Answer:

41 Degrees

Step-by-step explanation:

So basically you add the 72 and the other 72 to get 148.You obviously know the angle in between 72 and 72 is a right angle or 90 degrees.Then you add 148 and 90 to get 238.Then 360 - 238 is 122.Now you know all the angles.So we have to ask ourselves what is 148/360 simplified.It is 37/90.Now that we know that and we know that the radius is 10.We have to find the regular area which is 10 times 10 which is 100.Finally we need to figure out what part of 100 is 37/90 and it is 41.111111111111.Rounded it is 41.

Answer:

The answer is 5

Step-by-step explanation:

if you see, the start of table starts at 35 and then goes goes to 7

Answer:

Step-by-step explanation:

It’s 16