2.5 x + 10 = x minus 0.5?

The largest monthly payment David can afford for the television set is $794.

To determine the largest monthly payment David can afford for the television set, we need to calculate his monthly expenses and subtract them from his net income. David's fixed monthly expenses consist of a rent payment of $450 and a student loan payment of $116. Therefore, his total monthly fixed expenses are $450 + $116 = $566.

We can subtract David's total monthly fixed expenses from his net income: $1,360 - $566 = $794. This is the maximum amount David can afford to allocate towards credit card payments and still stay within a safe debt load.

So, the largest monthly payment David can afford for the television set is $794.

Answer:

Step-by-step explanation:

1. x = y-4

0 = y - 4 -x

4 = y - x

2. 2x+4y = 10

x+4y = 5

x+y = 5/4

Answer:

the answer is b 2

Step-by-step explanation:

Final answer:

Adding a sixth temperature of 83°F to the original data set increases the median temperature from 70°F to 71°F, which is an increase of 1°F. Thus, option A is correct.

Explanation:

The question is asking how much the addition of a sixth day's temperature of 83°F will increase the overall median temperature of the previously recorded five days.

First, we need to arrange the temperatures of the first five days in ascending order: 68°, 70°, 70°, 72°, and 75°. The median of these five numbers is 70°F, which is the middle value.

When we add a sixth temperature of 83°F, the new set of temperatures will be 68°, 70°, 70°, 72°, 75°, and 83°.

With an even number of data points, the median is the average of the two middle numbers which are now 70° and 72°F. The average of 70°F and 72°F is 71°F.

Thus, the new median is 71°F, which is a 1°F increase from the original median of 70°F.

Therefore, the correct answer is A) 1°.

Answer:

None

Step-by-step explanation:

Parallel lines never intercept, giving no solution points

Answer:A= minimum value

B=lower quartile

C=median

D= upper quartile

E= maxuim value

Step-by-step explanation:

Final answer:

A box plot displays the distribution of data based on a five-number summary: minimum, first quartile, median, third quartile, and maximum. It provides insights into the data's distribution, potential outliers, and comparisons of data sets.

Explanation:

The student's question involves the creation and interpretation of a box plot, which is a standardized way of displaying the distribution of data based on a five-number summary: minimum, first quartile (Q1), median, third quartile (Q3), and maximum. To graph a box-and-whisker plot for the given data values, one must first calculate the five-number summary:

Once these values are determined, one can create a box plot where the box represents the interquartile range (IQR), stretching from Q1 to Q3, with a line at the median (C). Whiskers extend from the box to the minimum (A) and maximum (E) values. Analyzing the box plot can give insights into the data set, such as the distribution of the data, any potential outliers, and the comparison of different data sets.

Answer:

The answer is -8

Step-by-step explanation:

By the way, is that Lucy Heartfilia? :D

Answer:

To solve this equation we need to get x by itself.

4x-6=10x-3, (the first step would be adding 6 to both sides.)

4x=10x+3 (the next step is the subtract ten from both sides.)

-6x=3 (Last step is the divide both sides by -6.)

x=-1/2

Hope this helps ;)

Angle of rotational symmetry for the isosceles trapezoid is 180 degrees .

Given, rotational symmetry for isosceles trapezoid .

The trapezium, also known as the trapezoid is a plane figure with four sides, two of which are of equal length.

If the other two sides are also of same length then the figure is said to be isosceles trapezoid .

There is no symmetry in a trapezoid unless it is an isosceles trapezoid. In that case it has one axis of symmetry that cuts the two bases in half. An 180 degree rotation about this axis produces the same figure. There are no other lines of symmetry.

Know more about isosceles trapezoid,

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To be a function, each input must correspond to exactly one output. In all cases except for Timon's gumballs, each distinct input yields a distinct output. Therefore, the sentence about Timon's gumballs does not represent a function.

In mathematical terms, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. Let's go through these situations separately:

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Answer:

100 adult tickets

150 students tickets

Step-by-step explanation:

First, construct an equation that relates the tickets.  

For the first equation, 5x represents $5 per ticket for students and 8y represents $8 per ticket for adult, showing the money earned.  

For the second equation, x represents student tickets and y represents adult tickets, showing the tickets sold.

[tex]5x+8y=1550\\x+y=250\\[/tex]

Then, you have to cancel out similar factors.  I will multiply the second equation by -5 because that is the easiest option for this specific case.

[tex]-5(x+y=250)\\-5x-5y=-1250\\5x+8y=1550\\3y=300\\y=100[/tex]

We have solved for y, which is how many adult tickets were sold.  To solve for student tickets, we will solve the second equation.

[tex]x+y=250\\x+100=250\\x=150[/tex]

As a result we have 100 adult tickets and 150 student tickets.

Hope this helps!! <3

The volume of the rectangular pyramid with the given values of height and base area is 138.5 cubic inches.

A right triangular pyramid is simply a triangular pyramid which has an equilateral base, and whose top is directly above the base's centroid.

The volume of right triangular pyramid is expressed as;

V = 1/3 × b² × h

where b is the length of the base and h is the perpendicular height.

Given the data in the question;

First we find the dimension of the base length.

Since area square is A = b².

Hence;

41.57in² = b²

b = √41.57in²

b = 6.447in

Now, we substitute our values into the expression above.

V = 1/3 × b² × h

V = 1/3 × (6.447in)² × 10in

V = 1/3 × 41.563809in² × 10in

V = 138.5in³

Therefore, the volume of the rectangular pyramid with the given values of height and base area is 138.5 cubic inches.

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Answer:

4171/5000

Step-by-step explanation:

When diving 4171 by 5000, you get the answer of 0.8342. If you are using a calculator, you can use a button that allows you to convert decimals to fractions and vice versa.

The decimal number 0.8342 as a fraction in the simplest form is 4171/5000.

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

In this exercise and scenario, we would convert the given decimal number into a fraction as follows;

0.8342 = 8342/10000

By dividing both the numerator and denominator by 2, we have the following

8342/10000 = 4171/5000

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Answer:

Step-by-step explanation:

To find the mean you need to add up all of the given numbers (order does not matter) then divide by that many numbers.

Add all 5 numbers then divide by 5.

1 + 2 + 3 + 4 + 5 = 15

15 / 5 =  3

I hope this helped!

Answer:

3 is mean

Step-by-step explanation:

She knit 1/4 of the total length of the scarf on monday

Answer:

She knit 7/10 of the scarf altogether

Step-by-step explanation:

Please see the attached file for explanation

Answer:

x=1/3

Step-by-step explanation:

You have to isolate the variable, so you must first separate the constants from the variable. Add 3 on both sides to cancel out the minus three and to move it to the other side. Now you have 27x=9. It's pretty simple from there just use your calculator and divide 27x/27 and also 9/27. That leaves you with 1/3

To solve for x in the equation 27x+3=6, we subtract 3 from both sides, divide both sides by 27, and get the solution x = 1/9.

To solve for x in the equation 27x+3=6, we'll start by isolating the variable x. First, subtract 3 from both sides of the equation to get 27x = 3. Then, divide both sides by 27 to find the value of x.

Therefore, the solution to the equation is x = 1/9.

Answer:

set 1 =11   set 2 =208  Set 2 has the wider spread since the range is bigger

Step-by-step explanation:

range- find the largest number and subtract the smallest number from it

Set 1: 12-1 =11

Set 2: 230-22 =208

Answer:

√37

Step-by-step explanation:

Answer:

Katie saved $20.

Step-by-step explanation:

I assume that "served" is a typo for "saved". Also, I assume that Tata and Ted are the same person.

Let the amount Katie saved = k

Then, ted saved $6 less than 4 times k, or 4k - 6.

The total saved by both is k + 4k - 6.

The total saved by both is $94.

k + 4k - 6 = 94

5k - 6 = 94

5k = 100

k = 20

Answer: Katie saved $20.

Final answer:

To determine the amount Katie has saved, two equations were set up based on the given information. The equations were solved simultaneously to find that Katie has saved $20.

Explanation:

Let's denote the amount Katie has saved as K and the amount Tata has saved as T. According to the problem, Tata saved six dollars less than four times as much as Katie, which we can write as T = 4K - 6. Additionally, we know that together they have saved a total of $94, so we can express this as K + T = 94. Substituting the expression for T from the first equation into the second equation, we get K + (4K - 6) = 94. Simplifying this, we get 5K - 6 = 94. By adding 6 to both sides, we obtain 5K = 100, and dividing by 5, we find that K = 20. Therefore, Katie has saved $20.

Answer:

it would be close to 12 ft im not 100% sure though the measurements are a little off

Step-by-step explanation:

hypotenuse is 13

then you have the adjacent = 7

13^2 = 169

7^2= 49

169-49=120

the square root of 121 is 11 wich is fairly close to 120(doesnt have one because its not exact)

there is two extra feet so 11 +2 is 13 but there  was a little less then 11 so i had sid roughly around 12

brainliest, please???

The total height of the stairs can be found by adding the distance from the ground to the end of the slide (7 feet) and the extra height of the stairs (2 feet). This adds up to a total height of 9 feet for the stairs.

The subject of the question is Mathematics, and it's suitable for a Middle School level. The problem can be solved using basic addition, and the concept of distance and height.

First, identify the length of the slide, which is 13 feet. Next, you're told that the end of the slide is 7 feet away from the stairs. This distance represents the height from the ground to the end of the slide. Lastly, you're told that the stairs extend 2 feet higher than the end of the slide.

Add these two distances together. So, the total height of the stairs is 7 feet (height to end of slide) plus 2 feet (additional height of stairs) equaling 9 feet.

So, the stairs are 9 feet tall.

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Answer:

$69.00

Step-by-step explanation:

Hi there,

In order to solve this problem, I used this formula:

Dollar Markdown = (markdown %)(original price)

You will end up with Markdown = (0.4) (115).

(Be sure to convert the percentage to a decimal value. (ex. 40% = 0.4))

After multiplying, we find that 46 dollars is 40% of the original price.

For the final step, simply subtract the original price by the amount marked down to get $69.00.

Hope this was useful. Cheers.

Answer:

Step-by-step explanation:

To solve

17/x-12/x-12/2(x-1)

5/x-12/2x-2

The LCM of x and 2x-2 is x and 2x-2

5(2x-2)-12x/x(2x-2)

10x-10-12x/x(2x-2)

To collect like in numerator

-2x-10/x(2x-2)

Answer:

See Below

Step-by-step explanation:

The length of the belt is the length around 2 inch radius wheel PLUS length around 8 inch radius wheel.

The length around a circular region is its circumference. The formula is:

[tex]C=2 \pi r[/tex]

Where

C is circumference

r is the radius

We sum up both, given first one radius is 2 and second one radius is 8, so we have:

[tex]2\pi r + 2 \pi r \\=2 \pi (2) + 2 \pi (8)\\=4\pi + 16 \pi\\= 20 \pi\\=62.83[/tex]

The length of the belt should be around 62.83 inches

Answer:

a b c and e

Step-by-step explanation:

Answer:

The fist one

Step-by-step explanation:

Step-by-step explanation:

ok, logic

all of them are parabolas

1st and 3rd are opening up, so they defenitely increase, so no

decraseing

the vertex hs to be be at x=-4

y=a(x-h)^2+k

h has to be -4

y=a(x+4)^2+k

the answer is 2nd one or f(x)=-(x+4)^2+4

Answer:

B

Step-by-step explanation:

Answer:

d. 4

Step-by-step explanation:

Arranging in ascending order

1 , 2 , 2 , 3 , 5 , 6 , 6 , 10

No of data (N) = 8

Position of median

= (N+ 1) / 2 th item

= (8 + 1) / 2 th item

= 9 / 2 th item

= 4.5 th item

Exact median

= (5 + 3 )/2

= 8/2

= 4

Answer:

  2

Step-by-step explanation:

The 80° angle can be between the two given sides, or opposite one of them. These are the only two possibilities.

Answer:

The angle measurement is 68 degrees

Step-by-step explanation:

The line NL is a straight line, so the angle is 180

NOM and LOM add up to the straight line

Then, subtract 112 from 180 to get 68 degrees as the answer

Answer:

68°

Step-by-step explanation:

1.) 112 + x = 180

2,) subtract 112 to both sides

112 + x = 180

-112       = - 112

         x  = 68

Answer:

Step-by-step explanation: