It is 49,280 yards from Topeka to Tonko. How many miles
is this?

Answer:

4 hours

Step-by-step explanation:

240 / 60 = 4

Answer:

[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]

Domain: [tex]x \ne 1[/tex]

Step-by-step explanation:

Given

[tex]f(5x) = \frac{x - 5}{5x - 1}[/tex]

Required

Determine f(x) and its domain

To determine f(x), we replace 5x with x in f(5x)

So, we have:

[tex]f(5x) = \frac{\frac{5x}{5} - 5}{5x - 1}[/tex]

[tex]f(x) = \frac{\frac{x}{5} - 5}{x - 1}[/tex]

Take LCM

[tex]f(x) = \frac{\frac{x - 25}{5}}{x - 1}[/tex]

[tex]f(x) = \frac{x - 25}{5} * \frac{1}{x-1}[/tex]

[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]

To get the domain, we set the denominator as

[tex]5x - 5 \ne 0[/tex]

[tex]5x \ne 5[/tex]

[tex]x \ne 1[/tex]

Answer:

see explanation

Step-by-step explanation:

area of Δ ABC is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 4x - 6 and h = 2x - 3 , then

A = [tex]\frac{1}{2}[/tex] (4x - 6)(2x - 3) ← expand using FOIL

   = [tex]\frac{1}{2}[/tex](8x² - 24x + 18) ← distribute

    = 4x² - 12x + 9

----------------------------------------------------------

Area of rectangle CBFG is calculated as

A = lb ( l is length, b is breadth )

Here l = 4x - 6 and b = 3x - 2, then

A = (4x - 6)(3x - 2) ← expand using FOIL

   = 12x² - 26x + 12

----------------------------------------------------------

Area of trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)

where h is the height and b₁, b₂ the parallel bases

Here h = 2x - 3, b₁ = 4x + 1, b₂ = 2x + 3 , then

A = [tex]\frac{1}{2}[/tex] (2x - 3)(4x + 1 + 2x + 3)

   = [tex]\frac{1}{2}[/tex] (2x - 3)(6x + 4) ← expand using FOIL

   = [tex]\frac{1}{2}[/tex] (12x² - 10x - 12) ← distribute

   = 6x² - 5x - 6

Answer:

C. 22,400.

Step-by-step explanation:

62.9% = 0.629 as a decimal fraction.

Total number of employees in small businesses in the county

= 270 * 132.

So the estimated number with less than $1000 savings

= 270 * 132 * 0.629

= 22,417.

Answer:

c

Step-by-step explanation:

A rate is a ratio that compares quantites with different units.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

A rate is a comparison of two quantities that have different units, such as miles per hour, dollars per gallon, or meters per second.

A rate can be expressed as a fraction or a ratio, with the numerator representing the quantity being measured and the denominator representing the unit of measurement.

Hence, a rate is a ratio that compares quantites with different units.

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Answer:

39 and 86.

Step-by-step explanation:

39 and 86 equal 125 when added. When 47 is subtracted from 86 you get 39.

Area of the rectangle = (18 m) (12 m) = 216 m²

Area of the triangle cutout = 1/2 (7 m) (9 m) = 63/2 m²

Area of the shaded region = 216 m² - 63/2 m² = 369/2 m² = 184.5 m²

Answer:

34.40

Step-by-step explanation:

43×0.2 = 8.60

43-8.60= 34.40

Answer: Yes, round it to the nearest tenth

Answer:

D- 3 hours long they were traveling

Step-by-step explanation:

27÷ 9= 3

36÷ 12= 3

Answer:

Step-by-step explanation:  

Answer:

66

Step-by-step explanation:

Red counters: 120/4=30

Blue counters:120/5=24

Green counters:30+24=54, 120-54=66

Answer:

1038

Step-by-step explanation:

730+308= the big number

Answer:

1038

Step-by-step explanation:

Answer:

2, 3, and 5

Step-by-step explanation:

got it right on test.

The scatterplots (B), (C), and (E) have no correlation. which is the correct answer would be options (B), (C), and (E)

The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.

When analyzing data with more than two variables, a scatter plot is used, which has a separate vertical axis for each variable.

According to the given option,

The second has no slope, therefore there is no correlation.

The third has a zero average slope with no upward or descending trend; no correlation.

The fifth has a general increasing tendency and will have a non-zero correlation.

Thus, the scatterplots (B), (C), and (E) have no correlation.

Hence, the correct answer would be options (B), (C), and (E),

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Answer:

one solution

Step-by-step explanation:

No solution is when they don't intersect at all. Infinite solutions is if the two lines are on top of each other.

Answer:

one solution

Step-by-step explanation:

if they intersect, they become one solution, if they don't intersect, than there are no solutions. If the graphs of the equations are the same, there are infinite solutions.

Answer:

x=90, angle bisector theorem

y=43,

90+47+y=180

=137+y=180

y=43

Answer: You can't hear the tone of voice or get clues from body language.

Step-by-step explanation:

When sending emails, the sender and the recipient communicate through a screen, thus each person is unable to see the other when conversing or hear the inflections or emphasis of voice in the message, although we can always attempt to interpret tone. Email allows you to store emails in the inbox or archive and access sent messages, but email lacks the ability to intimately understand specifics such as tone of voice or body language.

Answer:

cant get clues from body language, cant hear tone of voice

Step-by-step explanation:

Answer:

-15°F < 12°F

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

28/100

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

[tex]x^2 - 3y + 5x + 2 \\ \\ = {7}^{2} - 3(4) + 5(7) + 2 \\ \\ = 49 - 12 + 35 + 2 \\ \\ = 74[/tex]

Answer:

area = 35 in²

Step-by-step explanation:

Answer:

D: The area of the base.

Step-by-step explanation:

The volume of a triangular based pyramid is represented by the formula given that the question as:

V = 1/3BH

where B = Base area of the triangular based pyramid

H = Height of the triangular based pyramid.

Hence, option D is correct

B = The area of the base.

Answer: What is the question?

Step-by-step explanation:

What is the question?

Answer:

1 3/8

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

I don’t know if this half the problem or something because you only need to know what a equals but...

1. Substitute x for 4 since x=4... so the equation would then be (4)^2+10(4)-20

2. You simplify so 4 squared is 16 because when you square something you times it by it self so 4^2 is simply 16 because 4*4=16 then 10*4 is 40 so then you get 16+40-20

3. So you can simplify that again to 56-20 and then to 36

Sorry I’m really bad at explaining but I hope this helps

Answer:

105

Step-by-step explanation:

You need the least common multiple of the 4 numbers. Since 3, 5, and 7 are prime numbers, the answer is their product.

LCM = 3 * 5 * 7 = 105

The least positive integer that is divisible by each of 1, 3, 5, and 7 is 105.

In order to solve the question, we simply have to find the lowest common multiple that is applicable to all the numbers that are given on the question.

In this case, the lowest common multiple can be gotten by multiplying the numbers be high will be:

= 1 × 3 × 5 × 7 = 105

Therefore, the number is 105.

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Answer:

25100 i believe  would be the answer

Step-by-step explanation:

Sum of three angles in the triangle equals to 180.

70+30+x=180

100+x=180

x=180-100

x=80

Therefore, the answer is 80.