need help due today .

Question:

During a walk-a-thon, Noah's time in hours was t, and distance in miles, d, are related by the equation [tex]\frac{1}{3}d = t[/tex].  A graph of the equation includes points (12,4).

1. Identify the independent variable.

2. What does the point (12,4) represent in this situation?

3. What point would represent the time it took to walk [tex]7\frac{1}{2}[/tex] miles?  

Answer:

(a) d

(b) He spent 4 hours to walk 12 miles

(c) [tex](7\frac{1}{2},2\frac{1}{2})[/tex]

Step-by-step explanation:

Given

[tex]t = \frac{1}{3}d[/tex]

Solving (a): The independent variable

The independent variable, in this problem is the distance walked. Because the distance walked stands alone, and it is when the distance is known, that the time spent is known.

Hence:

The independent variable is distance (d)

Solving (b): What (12, 4) represents

This implies that:

[tex]distance = 12[/tex]

[tex]time\ spent = 4[/tex]

So: He spent 4 hours to walk 12 miles

Solving (c): Point to represent the time to walk [tex]7\frac{1}{2}[/tex] miles

This implies that:

[tex]d = 7\frac{1}{2}[/tex]

Substitute [tex]d = 7\frac{1}{2}[/tex] in [tex]t = \frac{1}{3}d[/tex]

[tex]t = \frac{1}{3} * 7\frac{1}{2}[/tex]

Express as improper fraction

[tex]t = \frac{1}{3} * \frac{15}{2}[/tex]

[tex]t = \frac{5}{2}[/tex]

Express as mixed number

[tex]t = 2\frac{1}{2}[/tex]

So: The point is, [tex](7\frac{1}{2},2\frac{1}{2})[/tex]

Answer:

200

Step-by-step explanation:

basically, all you have to do is plug in 30 for n. You would get -3 + 7(30-1), and then you would get -3 + 7 x 29, and then you would get -3 + 203, and the final answer would be 200

Answer:

288

Step-by-step explanation:

Answer:

13.7

Step-by-step explanation:

15^2-6^2=189

The square root of 189 is 13.74 blah blah blah

Answer:

13.7

Step-by-step explanation:

a²+b²=c²

a²+6²=15²

a²+36=225

a²=189

a≈13.7

Answer:

1 has the least absolute value and -25 has the greatest absolute value

Step-by-step explanation:

If it is absolute value all numbers will be positive no matter the sign they have

Answer:

12cm 7cm 5cm

Step-by-step explanation:

Since 7 + 5 is = 12, it cannot be a side of a triangle. If you add any 2 numbers, the sum must be greater than the 3rd one.

Answer:

B

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

i think that it is. C.

i think it will help

Answer:45,000,000,000 melons

Step-by-step explanation:

90,000,000,000-45,000,000,000=45,000,000,000

Answer:

$21.98

Step-by-step explanation:

Answer:

172.40

Step-by-step explanation:

Answer:

A, B, C

Step-by-step explanation:

15x+45

3 (5x + 15)

5(3x +9)

15(x + 3)

Answer:

The answer is 8.304 then 8.92 then 167/20 then 8 3/10. :)

Step-by-step explanation:

Answer:

8 3/10, 8.304, 167/20, 8.92

Step-by-step explanation:

Turn all of them into decimals

8 3/10 = 8.30

8.304

167/20 = 8.350

8.92

Answer:

No

Step-by-step explanation:

the pythagorean theorem is

a^2+b^2=c^2

These numbers do not fit in these terms

Answer:

It doesn't.

Step-by-step explanation:

In order for something to be a {ythagorean triple, it must comply with the Pythagorean theorem, which is a² + b² = c²

Always remember, when plugging in the values into that equation, the exponent of two means to square the number, and a and b have to be the two smallest values (in this case, 6 and 12)

6² = 36

12² = 144

36 + 144 = 180

Now, we have to find if ti equals c². 13² equals 169

Therefore, 180 ≠ 169, therefore it IS NOT a Pythagorean triple.

Answer:

238

85%of 280 is 238

Step-by-step explanation:

hope this helps

Answer:

18 + 3p

Step-by-step explanation:

Using distributive property:

3(6+p)

18 + 3p

Answer:

2x - y + 2 = 0 is the equation

y = 2x + 2 is the equation in slope-intercept form

Step-by-step explanation:

slope = (y₂ - y₁) / (x₂ - x₁)

slope = (6 - 8) / (2 - 3)

slope = -2 / -1

slope (m) = 2

equation through the points (3,8) and (2,6):

(y - y₁) / (y₂ - y₁) = (x - x₁) / (x₂ - x₁)

(y - 8) / (6 - 8) = (x - 3) / (2 - 3)

(y - 8) / -2 = (x - 3) / -1

-y + 8 = -2x + 6

2x - y + 2 = 0

slope-intercept form,

y = mx + c

y = 2x + 2

Answer:

go down 5 on the y axis (the one going up and down)

Step-by-step explanation:

since its negative you go down, and since it doesnt give an x axis it doesnt go left or right.

Answer:

128 cu. ft

Step-by-step explanation:

4 x 4 x 8 = 16 x 8 = 128

Answer:

Step-by-step explanation:

Answer:

48 × 9.20 = 441.60

Step-by-step explanation:

gross wages can be calculated by multiplying the number of hours worked by the employee's hourly wage.

area of rectangle = length×breadth

area of square = side×side

Answer:

4900mm^2 or 24010000mm

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Sum of all the angle of triangle = 180

71 + 50 + 6x - 1 = 180

71 + 50 -1 + 6x = 180

    120  + 6x   = 180

            6x = 180 - 120

           6x = 60

             x = 60/6

x = 10

Answer:

Center (6, -3)

Radius 5