Place the following temperatures in order from coldest to hottest: -8°C, 10°C, -5°F, 40°F

Answers

Answer 1
To solve this problem, you should first convert all temperatures to one temperature scale. I'll use the formula to convert Fahrenheit to Celsius.
It is C = 5/9(F - 32), where F is the degrees Fahrenheit.

Let's start converting.

C = 5/9(-5 - 32)
C = 5/9(-37)
C = -185/9
C = -20.6°

C = 5/9(40 - 32)
C = 5/9(8)
C = 40/9
C = 4.4°

Now let's arrange them from least to greatest:
-20.6°C, -8°C, 4.4°C, 10°C.

Answer:
-5°F, -8°C, 40°F, 10°C.

Related Questions

nadiyah found the circumference of a circle with a diameter of 4.9 in to be 20in. is her answer reasonable? explain

Answers

the answer isn't reasonable. the actual circumference is 15.386

The circumference of circle is given by :

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

where r is radius of circle and pi =3.14

Radius = half of diameter

Radius = (1/2) *4.9 = 2.45 in.

Now let us plug the value of radius in the formula for circumference.

[tex] C =2(3.14)(2.45) [/tex]

C = 15.386 inches

But circumference found by Nadiyah is 20 inches.

So the circumference found by Nadiyah is incorrect as correct one is 15.386 inches.

John has 8/9 of a gallon of apple cider vinegar. If it takes 1/7 of a gallon of vinegar to make a batch of collard greens, how many batches can john make?

Answers

1/7 gallon  = 1 batch 

[multiply by 7 through]
1 gallon = 7 batches

[multiply by 8/9 through]
8/9 gallon = 7 x 8/9
8/9 gallon = 6 2/9 

[Good enough to make 6 batches, not enough to make 7 batches]

So he can make 6 batches of collard green


John can make 6 whole batches of collard greens with 8/9 of a gallon of apple cider vinegar, accounting for each batch requiring 1/7 of a gallon of vinegar.

The question asks how many batches of collard greens John can make with 8/9 of a gallon of apple cider vinegar, considering that each batch takes 1/7 of a gallon.

To find the answer, divide the total amount of vinegar John has by the amount of vinegar required for one batch:

Total amount of vinegar John has: 8/9 gallon

Amount of vinegar required for one batch: 1/7 gallon

Now, we use division to find out how many batches can be made:
(8/9),  (1/7)

Multiply the first fraction by the reciprocal of the second fraction: (8/9) * (7/1)

Simplify the multiplication: (8 * 7) / (9 * 1)

Calculate the result: 56/9

Finally, we determine how many whole batches John can make, since partial batches are generally not considered. As 56/9 is equal to 6 with a remainder, John can make 6 whole batches of collard greens.

Find the value of x in the solution to the system of equations shown.

A. x = 2.33


B. x = 3


C. x = 4.2


D. x = 5.4

Answers

Substitute the value of y into the second equation
y = 14x - 6
y = -4x + 48

14x - 6 = -4x + 48
add 6 to both sides
14x = -4x + 54
add 4x to both sides
18x = 54
divide both sides by 18
x = 3

The option is B.) x = 3

Hope this helps!

The value of x in the solution to the system of equations will be 3. Then the correct option is B.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The system of linear equations is given below.

y = 14x - 6               ...1

y = -4x + 48            ...2

From equations 1 and 2, then the value of the variable 'x' will be given as,

14x - 6  = -4x + 48

14x + 4x = 48 + 6

18x = 54

x = 3

The value of x in the solution to the system of equations will be 3. Then the correct option is B.

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1. What is the wave speed of a wave that has a frequency of 100 Hz and a wavelength of 0.30 m?




2. What is the wave speed of a wave that has a frequency of 50 Hz and a wavelength of 0.10 m?




3. What is the frequency of a wave that has a wave speed of 20 m/s and a wavelength of 0.50 m?




4. What is the frequency of a wave that has a wave speed of 80 m/s and a wavelength of 0.20 m?




5. What is the frequency of a wave that has a wave speed of 120 m/s and a wavelength of 0.40 m?




6. What is the wavelength of a sound wave that has a speed of 340 m/s and a frequency of 440 Hz?




7. What is the wavelength of a sound wave that has a speed of 340 m/s and a frequency of 880 Hz?




8. What is the wavelength of a sound wave that has a speed of 250 m/s and a frequency of 400 Hz?




9. What is the wave speed of a wave that has a frequency of 50 Hz and a wavelength of 2.0 m?




10. What is the wave speed of a wave that has a frequency of 100 Hz and a wavelength of 0.50 m?

please answer fast

Answers

1. 30 Hz
2. 5 Hz
3. 40 m/s
4. 400 m/s
5. .48 m/s
6. .77 m/s
7. .39 m/s
8. .625 m/s
9. 100 Hz
10. 50 Hz

Answer:

For 1: The wave speed of the wave is 30 m/s

For 2: The wave speed of the wave is 5 m/s

For 3: The frequency of the wave is 40 Hz

For 4: The frequency of the wave is 400 Hz

For 5: The frequency of the wave is 300 Hz

For 6: The wavelength of the wave is 0.773 m

For 7: The wavelength of the wave is 0.386 m

For 8: The wavelength of the wave is 0.625 m

For 9: The wave speed of the wave is 100 m/s

For 10: The wave speed of the wave is 50 m/s

Step-by-step explanation:

Wave speed is defined as the product of its wavelength and frequency.

Mathematically,

[tex]\text{Wave speed}=\lambda\times \nu[/tex]

where,

[tex]\lambda [/tex] = wavelength of the wave

[tex]\nu [/tex] = frequency of the wave

For 1:

We are given:

[tex]\lambda =0.30m\\\\\nu=100Hz[/tex]

Putting values in above equation, we get:

[tex]\text{Wave speed}=0.30\times 100=30m/s[/tex]

Hence, the wave speed of the wave is 30 m/s

For 2:

We are given:

[tex]\lambda =0.10m\\\\\nu=50Hz[/tex]

Putting values in above equation, we get:

[tex]\text{Wave speed}=0.10\times 50=5m/s[/tex]

Hence, the wave speed of the wave is 5 m/s

For 3:

We are given:

[tex]\lambda =0.50m\\\\\text{Wave speed}=20m/s[/tex]

Putting values in above equation, we get:

[tex]20/s=0.50m\times \nu\\\\\nu=\frac{20}{0.50}=40s^{-1}[/tex]

Hence, the frequency of the wave is 40 Hz

For 4:

We are given:

[tex]\lambda =0.20m\\\\\text{Wave speed}=80m/s[/tex]

Putting values in above equation, we get:

[tex]80/s=0.20m\times \nu\\\\\nu=\frac{80}{0.20}=400s^{-1}[/tex]

Hence, the frequency of the wave is 400 Hz

For 5:

We are given:

[tex]\lambda =0.40m\\\\\text{Wave speed}=120m/s[/tex]

Putting values in above equation, we get:

[tex]80/s=0.20m\times \nu\\\\\nu=\frac{120}{0.40}=300s^{-1}[/tex]

Hence, the frequency of the wave is 300 Hz

For 6:

We are given:

[tex]\nu =440Hz\\\\\text{Wave speed}=340m/s[/tex]

Putting values in above equation, we get:

[tex]340/s=\lambda\times 440\\\\\lambda=\frac{340}{440}=0.773m[/tex]

Hence, the wavelength of the wave is 0.773 m

For 7:

We are given:

[tex]\nu =880Hz\\\\\text{Wave speed}=340m/s[/tex]

Putting values in above equation, we get:

[tex]340/s=\lambda\times 880\\\\\lambda=\frac{340}{880}=0.386m[/tex]

Hence, the wavelength of the wave is 0.386 m

For 8:

We are given:

[tex]\nu =400Hz\\\\\text{Wave speed}=250m/s[/tex]

Putting values in above equation, we get:

[tex]250/s=\lambda\times 400\\\\\lambda=\frac{250}{400}=0.625m[/tex]

Hence, the wavelength of the wave is 0.625 m

For 9:

We are given:

[tex]\lambda =2.0m\\\\\nu=50Hz[/tex]

Putting values in above equation, we get:

[tex]\text{Wave speed}=2.0\times 50=100m/s[/tex]

Hence, the wave speed of the wave is 100 m/s

For 10:

We are given:

[tex]\lambda =0.50m\\\\\nu=100Hz[/tex]

Putting values in above equation, we get:

[tex]\text{Wave speed}=0.50\times 100=50m/s[/tex]

Hence, the wave speed of the wave is 50 m/s

Use equal intervals to make a frequency table for the average number of movies per person. You do not need to show tally marks.

Country Average Number of Movies
Turkey 0.5
Japan 1.2
UK 1.3
Finland 1.3
Austria 1.5
Germany 1.8
Spain 2.2
Sweden 2.2
Denmark 2.2
Switzerland 2.5
France 2.5
Norway 3.0
Canada 3.0
US 4.5

Answers

Answer: Create intervals, then count the number of countries that fall in each interval.

When you create a frequency table, you have set intervals. In this case, our small number is close to 0 and our largest number is 4.5. We could create an interval for each number. Then, count the number of countries in each.

It would look like:
Interval    Frequency
0-0.99   1
1-1.99   5
2-2.99   5
3-3.99   2
4-4.99   1

0-0.7 | 1  

0.8-1.5 | 4  

1.6-2.3 | 4  

2.4-3.1 | 4  

3.2-3.9 | 0  

4-4.7 | 1

Which is C= 100w/l solved for w?
A.)W=100CL
B.)W= LC/100
C.)W= 100C/L
D.)W= 100/LC

Answers

[tex] C = \dfrac{100w}{L} [/tex]

w is on the right side multiplied by 100/L.

[tex] C = \dfrac{100}{L} \times w [/tex]

Now multiply both sides by the reciprocal of 100/L,
which is L/100, to isolate w.

[tex] C \times \dfrac{L}{100} = \dfrac{L}{100} \times \dfrac{100}{L} \times w [/tex]

[tex] \dfrac{CL}{100} = w [/tex]

[tex] w = \dfrac{CL}{100} [/tex]

[tex] w = \dfrac{LC}{100} [/tex]

Answer: choice B.

Final answer:

To solve for 'w' in the equation C = 100w/l, multiply both sides by 'l' and then divide by 100, resulting in 'w = Cl/100', which is option B.

Explanation:

To solve the equation C = 100w/l for w, we need to isolate w on one side of the equation:

Multiply both sides by l to get Cl = 100w.

Divide both sides by 100 to isolate w, which gives us w = Cl/100.

Therefore, the equation solved for w is w = Cl/100, which corresponds to option B.) W = LC/100.

Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length, x, of its square base. Nathan uses the formula for the volume of a pyramid to determine the dimensions of the sculpture:

Here, a is the side length of the pyramid’s square base and h is its height.

If 162 cubic centimeters of clay were used to make the sculpture, the equation x3 +
x2 +
= 0 can be used to find that the length of the sculpture’s base is
centimeters.

Answers

Final answer:

The student needs to apply the formula for the volume of a pyramid, V = 1/3 * a² * h. Since the height is 3 cm less than the side length, this introduces a variable in the equation, (x - 3), to solve for x.

Explanation:

The question relates to pyramid volume and the formulation of mathematical equations. First, it requires understanding that the volume of a pyramid is derived using the formula V = 1/3 * a² * h, where V is the volume, a is the length of the side of the square base, and h is the height of the pyramid. Since the height is stated as 3 cm less than the base (x), we can interpret this in the formula as h = x - 3.

Replacing these values in the volume formula gives us V = 1/3 * x² * (x-3). As the volume given is 162 cubic centimeters, this forms the equation: 162 = 1/3 * x² * (x-3). Simplifying this equation would provide the base length x in cm.

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Arlene Frank is saving money for her college

Answers

Can you please include a question please? Thank you
With all respect may you say or continue the question do we can help you out. Thank you so very much

A passenger train and a freight train leave San Jose at 3 p.m., traveling in the same direction. The passenger train is going three times as fast as the freight train. At 6 p.m. they are 240 miles apart. How fast is each travelling?

PLEASE HELP!!!

Answers

To figure this out you could use trial and error. I started with trying 60 mph for the freight train which means the passenger train would go 180 mph. This gave me too big of a difference (540-180 after they each travel three hours).

Then I tried 50 mph and 150 mph, and it was still too big(450-100).

When I did 40 mph it was 120 travel miles for the freight train, and 360 travel miles for the passenger train. This was the difference of 240 miles that was needed.

So the freight train traveled 40 mph and the passenger train traveled 120 mph.

Answer:

passenger was 120 and freight was 40

Step-by-step explanation:

An online store randomly samples three groups of 100 customers on which delivery method they use. The data shows the results of the three samples.

Overnight 2-Day Standard Total
Group 1 27 20 53 100
Group 2 32 17 51 100
Group 3 34 19 47 100



The online store has 2755 customers one day.

Based on the samples, what is a reasonable estimate of the number of people who will use overnight delivery?

Enter your answer rounded to the nearest whole number in the box.

Answers

The answer is 854 for sure. I did the test and got it all right.

Answer:

854 customers.

Step-by-step explanation:

An online store randomly samples three groups of 100 customers on which delivery method they use. The data shows the results of the three samples.

                          Overnight           2-day           Standard             Total

Group (1)                 27                     20                   53                   100

Group (2)                32                     17                    51                    100

Group (3)                34                      19                   47                    100

Total customers     93                     56                   151                  300

We have to calculate the number of people who will use overnight delivery.

Out of 300 customer there are 93 people who would use overnight delivery, so the percentage = [tex]\frac{93}{300}[/tex] × 100 = 31%

The online store has 2755 customers one day.

Therefore, 31% of the 2755 customers = [tex]\frac{31}{2755}[/tex] × 100 = 854.05 ≈ 854 customers.

854 customers would use overnight delivery.

Draw 6 circle make 3 groups shade 1 group

Answers

alright i did it..
what next

I drew 6 circles and i made three groups and i shaded one group......stop pretending that i am a slave.......

If five people share three cartons of Chow mein, what is each person sharing

Answers

so u do 5/3 = 1.666
         



What is the median of the data set represented by the dot plot?


Enter the answer in the box.


Answers

Answer:

The median is 14.

Step-by-step explanation:

You count 4 dots on both side and in the middle is 14 so 14 is the median.

Answer: 14

Step-by-step explanation: count 4 dots on both side and in the middle is 14

Estimate the quotient of 239.63 ÷ 7.51

Answers

239.63 ÷ 7.51
estimate
= 240 / 8
= 30

How can I find the Slope intercept

Answers

Y=m(x)+B is the slope intercept formula 
Y =max+b that’s the equation

Convert 1 3/4 feet into inches

Answers

It is 21 inches because it is



1 3/4 feet = 1.75 ft
1.75 x 12 = 21 inches

answer
21 inches

find the zeros x^2+5x-24

Answers

x^2 + 5x - 24 = 0

(x + 8)(x - 3) = 0

x + 8 = 0   or   x - 3 = 0

x = -8   or   x = 3

Katie Fulton, a food supplements Representative, had sales of 5859 with allowances of $422. If her commission rate is 5%, find her gross earnings.

Answers

Apparently, Katie's net sales were $5859 -422 = $5437. Her commission on those sales was 0.05*$5437 = $271.85.

Katie earned $271.85.
Final answer:

Katie Fulton's gross earnings would be $271.85 as calculated deducting allowances from total sales and then applying the 5% commission rate.

Explanation:

In this problem, Katie Fulton, the food supplements Representative, had total sales of 5859 dollars and the allowance has to be deducted from the total sales making the correct value for calculation 5437 dollars ($5859 - $422 = $5437).

Given that she earns a commission of 5%, we can calculate her gross earnings by multiplying her sales after allowance with this commission rate:

Gross Earnings = Commission rate * Sales after allowance = 0.05 * 5437 = $271.85.

So, Katie Fulton's gross earnings would be $271.85.

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A can of juice has a diameter of 6.6 centimeters and a height of 12.1 centimeters. What is the total volume of a six pack of juice cans

Answers

If it is a cylindrical can then we will use the formula (pi)(r)^2(h)

Volume of one can : (3.14)(3.3)^2(12.1)
                               : 413.75

Volume of 6 cans = 413.75 * 6 = 2482.53

To find the total volume of a six-pack of juice cans, calculate the volume of one can using the cylinder volume formula, [tex]V = \pi r^2h[/tex], and multiply by six. One can's volume, with a diameter of 6.6 cm and a height of 12.1 cm, is approximately 414.18 [tex]cm^3[/tex]. Multiplying by six gives a total volume of approximately 2485.08 [tex]cm^3[/tex] for the six-pack.

To calculate the total volume of a six-pack of juice cans, we first need to find the volume of a single can and then multiply that by six, since a six-pack contains six identical cans.

First, let's find the volume of one can using the formula for the volume of a cylinder [tex]V = \pi r^2h[/tex], where r is the radius and h is the height.

Given the diameter of a juice can is 6.6 centimeters, the radius r is half of that, which is 3.3 centimeters. The height h is 12.1 centimeters. Therefore, the volume of one can is:

[tex]V = \pi (3.3 cm)^2(12.1 cm) = \pi (10.89 cm^2)(12.1 cm) = \pi (131.769 cm^3) = 414.18 cm^3[/tex]

Now, to find the total volume for a six-pack, we multiply the volume of one can by six:

Total volume = 6 × 414.18 [tex]cm^3[/tex] ≈ 2485.08 [tex]cm^3[/tex]

Thus, the total volume of a six-pack of juice cans is approximately 2485.08 cubic centimeters.

Triangle ABC, with coordinates A(2, 3), B(3, 5), C(7, 4), is dilated by a scale factor of 2. What are the coordinates of the dilated figure, triangle A′B′C′? A′(4, 6), B′(6, 10), C′(7, 4) A′(2, 3), B′(3, 5), C′(7, 4) A′(4, 6), B′(6, 10), C′(14, 8) A′(4, 6), B′(3, 5), C′(14, 8)

Answers

Hello,

When you dilate a shape by a scale factor of 2, you simply multiply the coordinates by 2.

Therefore, the points become:
A(2, 3)  ===>  A'(4, 6)
B(3, 5)  ===>  B'(6, 10)
C(7,4)   ===>  C'(14,8)

Good luck,
MrEQ

The Answer is C for plato

You have 4/6 cup of cornmeal in your cupboard. A recipe for 2/5 muffins calls for cup of cornmeal. How much cornmeal would you have left if you made the muffins?

Answers

4/15 is the answer
:)
4/15 is the answer to the problem

What algebraic expressions are equivalent to “seven subtracted from a number”?

Answers

Answer will helped you!!

x-7 

there is no like terms. 

x-7 is answer.

Hopes it helped

Anna completed 40% of her homework . Her homework has 30 question how many problems does she still need to complete

Answers

She still has to complete 18 problems!

The points (j, - 8) and (1, - 2) fall on a line with a slope of - 6. What is the value of j?

Answers

Answer:
j = 2

Explanation:
Slope of the line can be calculated using the following rule:
slope = [tex] \frac{y2-y1}{x2-x1} [/tex]

We are given:
slope = -6
point (j,-8) representing (x1,y1)
point (1,-2) representing (x2,y2)

Substitute with the givens in the above equation and solve for j as follows:
slope = [tex] \frac{y2-y1}{x2-x1} [/tex]
-6 = [tex] \frac{-2-(-8)}{1-j} [/tex]
-6(1-j) = -2-(-8)
-6 + 6j = 6
6j = 6+6 = 12
j = 12/6
j = 2

Hope this helps :)

how to graph a function p(t)=t^4+12t^2-9t^2+108t^2

Answers

How do we graph any function? We select different values for y and simplify. We then plot the points on the xy-plane.

Find the sum. 13(9−6m)+14(12m−8)

Answers

Final answer:

To solve the expression 13(9−6m)+14(12m−8), distribute the numbers and combine like terms to get the sum, which is 90m + 5.

Explanation:

To find the sum of the expression 13(9−6m)+14(12m−8), we need to distribute the numbers outside the parentheses across the terms inside the parentheses and then combine like terms.

Distribute the numbers:

13 × 9 = 117

13 × (−6m) = −78m

14 × 12m = 168m

14 × (−8) = −112

Now we combine like terms:

117 (−78m) + (168m − 112)

Simplifying this we get:

−78m + 168m = 90m

−112 + 117 = 5

So the sum is 90m + 5.

Beth created this design to cover a rip in her jacket. It took half an hour toplan the design and two and a quarter hours to cut and sew the frabric to the jacket. How much time did it take Beth to save her favorite jacket?

Answers

2 1/4 + 1/2
first you change 2 1/4 to an improper fraction.
4 x 2=8 +1=9 keep the denominator
9/4
and when adding to fractions you have to multiply.
(9 x 2) + (1 x 4)/4 x 2=  22/8
22 ÷ 2/22 ÷ 8= 11/4
or 2 3/4 hope it helped:D

PLEASE HELP WITH 4,5,6

Answers

4. Yes because while also growing the volume of the can of juice would have to grow too. 5. It would be around 220. If we’re estimating

A rectangle of length 10 units and width 5 units is shown. Inside this rectangle is another rectangle of length 9 units and width 3 units placed symmetrically inside the larger rectangle. The smaller rectangle is shaded gray. If you choose a point inside the large rectangle, what is the probability that it is not inside the shaded rectangle?
24%
27%
46%
54%

Answers

Hi there!

First, we need to find the area of the rectangles.

10 × 5 = 50
9 × 3 = 27

Now, we find the percent of increase.

27 ÷ 50 = 0.54

Convert into a percentage:

0.54 = 54%

And subtract from 100%.

100% - 54% = 46%

The answer is 46%.

Hope this helps!

Answer

46% is the answer. :)

Khafre was a son of Khufu. He also had a pyramid built, but it was not as big as his father’s. The volume of the Pyramid of Khafre is about 2,115,072 cubic meters, and its height is about 136 meters. Approximate the length of each side of the base.

Could you work it out also!

Answers

S = √3*2,115,072/ 136 =216
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"is primarily interested in overt acts," most notably those of terrorism. hellppp! Paisley is a high school student who wants to be a writer. She has always dreamed of attending Science University, since her entire family graduated from there. One day she receives an email about a scholarship from the University of Prestigious Writing, but she deletes it without even opening it.Which red flag characteristic best describes Paisley's behavior? (5 points) PomposityFanaticismInanitySuperstition Tall buildings in Siberia are built 6 feet off the ground on special posts to keep the buildings _____. A.cooler in the summer B.warmer during winter C.from thawing the ground beneath them D.safe from floods on the surface of planet x a body with a mass of 10 kilograms weighs 40 newtons. The magnitude of the acceleration due to gravity on the surface of planet X is A sign in front of a roller coaster says ''you must be 40 inches tall to ride" what percentage of this height is A 34 inches and B 54 inches please answer both if you can thank you. Whats a culprit??$$ You and friend run up a fight of stairs that is 30 m high. Both of you reach the top in 12 seconds. Your weight is 570 N and your friend weights 620 N. Which of you has more power? Show all work Brenda and her sister have been arguing over the use of the computer, so Brenda set the following goal: I will share the computer with my sister more often and not complain. However, it is not a MAD goal. Select the area she should improve. Attainable; replace "my sister" with "every person in the household." Deadline; replace "more often" with specific days and times. Long-term; replace "more often" with "for the rest of my life." Measurable; replace "the computer" with "stuff." Why can benedict's solution be used to distinguish between glucose and sucrose?a.glucose is a carbohydrate, and sucrose is a protein.b.benedict's solution will release carbon dioxide bubbles from sucrose, but it cannot release carbon dioxide from glucose.c.glucose is a reducing sugar, and sucrose is not a reducing sugar.d.benedict's solution turns orange in the presence of sucrose, but remains blue in the presence of glucose. submit for grading save and finish later? In 12 sentences, describe how you would change the color of the background of a graph.in a spreadsheet in excel "what is durkheim's term for a condition in which people become detached from the norms that guide their behavior" Tinas grandfather put $1000 in the bank for her when she was born. The account has been earning 5.85% interest compounded annually. Tina is now 18 years old. How much money is in the account? What is the role of the respiratory system?a.to bring water into the bodyb.to bring oxygen into the bodyc.to bring carbon dioxide into the bodyd.none of the above Defend the proposition that rationing was vital to the war effort. Provide a specific example to support your argument. NEEEDDDDD HELPPPPP ASAPPPPP PLZZZZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Hector is training for a race that is 10 kilometers long. On Saturday he ran 2.5 km. He plans to add 0.5 km to his distance every Saturday. Hector's Calculations: 2.5 + 0.5 = 3.06.5 + 0.5 = 7.0 3.0 + 0.5 = 3.57.0 + 0.5 = 7.5 3.5 + 0.5 = 4.07.5 + 0.5 = 8.0 4.0 + 0.5 = 4.58.0 + 0.5 = 8.5 4.5 + 0.5 = 5.08.5 + 0.5 = 9.0 5.0 + 0.5 = 6.09.0 + 0.5 = 9.5 6.0 + 0.5 = 6.59.5 + 0.5 = 10.0 The equation equivalent to Hectors calculations is 2.5 + 0.5x = 10. Use either of these methods to determine how many weeks it will take Hector to reach his goal of a 10 kilometer run. great technical facility on an instrument is called,