Reggie started a running program to prepare for track season. Every day for 60 days, he ran a half hour in the morning and a half hour in the evening. He averaged 6.5 miles per hour. At this rate, what is the total number of miles Reggie ran over the 60-day period?

The question is incomplete.

However, from the given parameters, a likely question could be to:

1. Write an equation in slope intercept form through (20,-8) and is parallel to 7x - 4y = -5

or

2. Write an equation in slope intercept form through (20,-8) and is perpendicular to 7x - 4y = -5

Answer:

See Explanation

Step-by-step explanation:

First, we calculate the slope of [tex]7x - 4y = -5[/tex]

[tex]7x - 4y = -5[/tex]

Subtract 7x from both sides

[tex]7x-7x - 4y = -5-7x[/tex]

[tex]- 4y = -5-7x[/tex]

Make y the subject

[tex]\frac{- 4y}{-4} = \frac{-5-7x}{-4}[/tex]

[tex]y = \frac{-5-7x}{-4}[/tex]

[tex]y = \frac{5+7x}{4}[/tex]

[tex]y = \frac{5}{4}+\frac{7}{4}x[/tex]

[tex]y = \frac{7}{4}x+\frac{5}{4}[/tex]

The general format of an equation is:

[tex]y= mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m = \frac{7}{4}[/tex]

Solving (1): Parallel

Here, we assume that the line is parallel to the given equation.

And as such, it means that they have the same slope

So, we have:

[tex](x_1,y_1) = (20,-8)[/tex]

and

[tex]m = \frac{7}{4}[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - (-8) = \frac{7}{4}(x - 20)[/tex]

[tex]y +8 = \frac{7}{4}(x - 20)[/tex]

Open bracket

[tex]y +8 = \frac{7}{4}x - \frac{7}{4}*20[/tex]

[tex]y +8 = \frac{7}{4}x - 7*5[/tex]

[tex]y +8 = \frac{7}{4}x - 35[/tex]

Make y the subject

[tex]y = \frac{7}{4}x - 35-8[/tex]

[tex]y = \frac{7}{4}x -43[/tex]

Solving (2): Perpendicular

Here, we assume that the line is perpendicular to the given equation.

And as such, it means that the following relationship exists between their slope:

[tex]m_2 = -\frac{1}{m_1}[/tex]

Where

[tex]m_1 =m =\frac{7}{4}[/tex] -- as calculated above

Substitute 7/4 for m1 in [tex]m_2 = -\frac{1}{m_1}[/tex]

[tex]m_2 = -\frac{1}{7/4}[/tex]

[tex]m_2 = -\frac{4}{7}[/tex]

So, we have:

[tex](x_1,y_1) = (20,-8)[/tex]

and

[tex]m_2 = -\frac{4}{7}[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - (-8) = -\frac{4}{7}(x - 20)[/tex]

[tex]y +8 = -\frac{4}{7}(x - 20)[/tex]

Open bracket

[tex]y +8 = -\frac{4}{7}x + \frac{4}{7}*20[/tex]

[tex]y +8 = -\frac{4}{7}x + \frac{80}{7}[/tex]

Make y the subject

[tex]y = -\frac{4}{7}x + \frac{80}{7}-8[/tex]

[tex]y = -\frac{4}{7}x + \frac{80-56}{7}[/tex]

[tex]y = -\frac{4}{7}x + \frac{24}{7}[/tex]

Take LCM

[tex]y = \frac{-4x + 24}{7}[/tex]

Answer:

5 candles

Step-by-step explanation:

Enny is selling candles for $3 at a fund raiser

She starts selling $4 to help her make change

Therefore the number of candles x that will be sold to get $19 can be calculated as follows

3x + 4= 19

3x = 19-4

3x= 15

x = 15/3

x= 5

Hence 5 candles must be sold to get $19

Answer:

C right on A P E X

Step-by-step explanation:

I checked it and it’s right hope this helps!

Answer:

The answer is B.30

Step-by-step explanation:

sorry if i get this wrong, and was it multiple choice by any chance cuz it kinda looks like it. But i'll still go with B.

Answer:

184.26 i dont exacaly know but i think it is just let me know if im right or wrong

Step-by-step explanation:

Answer:

27 grams of sugar

Step-by-step explanation:

If 1/3 candy contains 12 grams of sugar

Then 3/4 candy contains C grams of sugar

C= 3/4 * 12grams➗1/3=3*12*3grams➗4=108grams➗4=27 grams of sugar

More pipes less time.

5 pipes means 1h ergo 10 pipes means half, that is 30min.

Hope this helps.

Answer:

It will take 30 minutes to fill the tank with 10 pipes.

Step-by-step explanation:

5 x 2 = 10

It will be half the time because 5 is half of 10

30 minutes.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

11.

Step-by-step explanation:

Plug n = 3 into the expression:

3(3) + 2 = 11.

Answer:

B

A

A

C

Step-by-step explanation:

I know the third answer is correct but the first two were a bit confusing for me do you have anymore context?? like is it supposed to be (0.5)^10

because then 10 would be the power and 0.5 is the exponent.

Answer:

C A B C

Step-by-step explanation:

Answer:

The anwsear is B, slashing and lunged :)

Have a great day!

Answer:

C. “slashing” and “lunged”

Step-by-step explanation:

There are 2 symmetry lines of a rectangle which are from its length and breadth. These two lines cut the rectangle in two similar halves which are mirror images of each other. If a rectangle is folded along its line of symmetry, it superimposes perfectly.

Answer:

I think it's 3/10

Step-by-step explanation:

Answer:

2x+14-562-3838(789):

Answer:

n= -3

Step-by-step explanation:

First, your're going to subtract from both sides

6n + 21 - 2 1= -3 - 2n - 21

Then simplify

6n = -2n - 24

Then add 2n on both sides

6n + 2n = -2n -24 + 2n

Simplify again

8n = -24

Then divide both sides by 8

8n/8 = -24/8

Then simplify and this is your answer

n= -3

Answer:

13.5x + 5

Step-by-step explanation:

12x + 1.5x - 2 - 7 (you always want to work left to right)

13.5x - (2 - 7) (you are free to use the associative property here to isolate like terms)

13.5x - (-5) (remember a number less in value subtracted from a higher value will result in a negative value; giving you this value for instance.)

13.5x + 5 (now since it was basically subtracting a negative from 13.5x you can technically say the same thing by turning the negative value to a positive however you must do the opposite of subtraction as well.)

Answer:

An equilateral triangle is never similar to a scalene triangle, because we can never map one onto the other using only dilations and rigid transformations.

======================================================

Explanation:

An equilateral triangle is one where it has all three sides the same length. "Equi" means "equal" while "lateral" means "side". Any equilateral triangle also has all three angles the same measure (we consider it equiangular). Each angle is 60 degrees.

In contrast, a scalene triangle has all of its sides different, so consequently that means all of its three angles must be different as well. If you had exactly two angles congruent to one another, then the opposite sides would be a congruent pair of sides, but then that leads to an isosceles triangle. Also, if all three angles were the same, then we'd get back to an equilateral triangle. So in short, any scalene triangle has all of its angles different.

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

Let's consider two cases

If case 1 happens, then we could match up one pair of 60 degree corresponding angles between the equilateral triangle and the scalene triangle. However, we won't have any more matches. This is because the other two angles aren't 60 (if they were then the triangle isn't scalene). Therefore case 1 leads to dissimilar triangles.

If case 2 happens, then we get the same conclusion as case 1. This time we don't have any angles matching up. Similar triangles must have corresponding angles match up and be congruent. Put another way: similar triangles are the same shape but not necessarily the same size.

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

After completing both cases, we can see that it is impossible to have an equilateral triangle be similar to a scalene triangle. In terms of transformations, we cannot apply any of the following

and have one triangle turn into the other. Again, it's all because the angles do not match up. We may have one matching pair, but we need all three pairs to match.

Answer:

$3.95

Step-by-step explanation:

43.50-27.70=15.80

15.80÷4=3.95

Answer:

If im not mistaking its b

Step-by-step explanation:

you gotta divide the nubers inside the box thing  with then numbers outside it then multiply

Answer:

x > -10

Step-by-step explanation:

First subtract the 2 from both sides. This gets you to 5x > -50. Last, you divide both sides by 5 and get an answer of x > -10.

Answer:

$440

Step-by-step explanation:

Interest=Principal × Rate × Time/100(Formula)

We have to find the Interest.

Interest = $2000× 5.5 × 4/100

100 Interest = 44000

Interest = 44000/100

Interest = $440(Answer)

simple interest

formula = PRT/100

P = 2000$

rate = 5.5%

time = 4 years

= 2000  x 5.5 x 4 / 100

= 440$

amount = S.I. + P

= 2000 + 440

= 2440

compound interest

formula for amount = P( 1 + r/100 )^n

= 2000( 1 + 5.5/100 )^4

= 2000 (100/100 + 5.5/100)^4

= 2000 ( 105.5/100 )^4

2000 x 105.5/100 x 105.5/100 x 105.5/100 x 105.5/100

= 2 x 105.5 x 105.5/10 x 105.5/100 x 105.5/100

= 211 x 105.5/10 x 105.5/100 x 105.5/100

= 2215.5  x 105.5/100 x 105.5/100

= 2,454.22

compound interest = A - P

= 2454.22 - 2000

= 454.22

Answer:

7x+35

Step-by-step explanation:

7(x+5)

Distribute

7*x + 7*5

7x+35

Final Answer: [tex]7x + 35[/tex]

Steps/Reasons/Explanation:

Question: What is [tex]7(x + 5)[/tex] in distributive property?

Step 1: Expand by distributing terms.

[tex]7x + 7[/tex] × [tex]5[/tex]

Step 2: Simplify [tex]7[/tex] × [tex]5[/tex] to [tex]35[/tex].

[tex]7x + 35[/tex]

~I hope I helped you :)~

Answer:

distributive property

Step-by-step explanation:

Answer:

y = 3( [tex]0.5^{x}[/tex] )

Step-by-step explanation:

Exponential function has the form f(x) = k [tex]b^{x}[/tex] where b > 0 and b ≠ 1

~~~~~~

3 = k × [tex]b^{0}[/tex] ⇒ k = 3

1.5 = 3( [tex]b^{1}[/tex] ) ⇒ b = 0.5

Thus, y = 3( [tex]0.5^{x}[/tex] )

Answer:

we have the same question but I have know clue what the answer is

Answer:

7.512

Step-by-step explanation:

because 7.5 is greater than 7.3

Answer: 32

Step-by-step explanation:

we have in this case  right triangle with a leg equal to 24 and a hypotenuse equal to 40

c^2=a^2+b^2

40^2=24^2+b^2

b^2=1600-576=1024

b=sqrt1024=32