Which single conversion factor would you use to find out how many miles are in 8,462 yards?

Answer:

Answer 1:

5/8 = 2.5/4 so its 2.5 months

Answer 2: The decimal repeats as when you divide by 2 you get 4.5/8, which is 0.5625.

Step-by-step explanation:

1/4=2/8, so continue that on until you get the answer.

5/8÷1/4

5.8·4/1=

20/8=2.5

9/16=

9÷16=

0.5625

Given:

Temperature at 10:00 am = 8 degrees Fahrenheit

Temperature drops by 3 degrees Fahrenheit every hour.

To find:

The temperature by 2:00pm of the same day.

Solution:

Let y be the temperature after x hour after 10:00 am.

The temperature at 10:00 am is the initial temperature.

So, y-intercept of the linear function is 8.

Temperature drops by 3 degrees Fahrenheit every hour.

So, slope of linear function is -3. Here, negative sign represents the decrease in the temperature.

Slope intercept form of a linear function is

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

where, m is slope and b is y-intercept.

Substitute m=-3 and y=8 in the above equation.

[tex]y=-3x+8[/tex]

Difference between 2:00pm and 10:00 am is 4 hours. So, substitute x=4 in the above equation.

[tex]y=-3(4)+8[/tex]

[tex]y=-12+8[/tex]

[tex]y=-4[/tex]

Therefore, the temperature by 2:00pm of the same day is -4 degrees Fahrenheit.

Answer:

6 eggs

Step-by-step explanation:

15=5*3

so times the eggs by 3

2*3=6

Answer:

1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S             b. Given

2. ∠1 ≅ ∠2                                                            e. Definition of angle bisector

3. Segment TQ ⊥ Segment RS                          a. Definition of perpendicular

4. Triangle RTQ congruent to Triangle STQ     c. AAS

5. ∠3 ≅ ∠4                                                            d. CPCTE

6. TQ ≅ TQ                                                           f. Reflexive

Step-by-step explanation:

Good luck on the rest of your assignment!

Answer: Answer:

1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S             b. Given

2. ∠1 ≅ ∠2                                                            e. Definition of angle bisector

3. Segment TQ ⊥ Segment RS                          a. Definition of perpendicular

4. Triangle RTQ congruent to Triangle STQ     c. AAS

5. ∠3 ≅ ∠4                                                            d. CPCTE

6. TQ ≅ TQ                                                           f. Reflexive

Step-by-step explanation:

Good luck on the rest of your assignment!

Answer:

It is a traingle

Step-by-step explanation:

Answer:

They are instructions...

Step-by-step explanation:

Probably finding out the angles of a triangle

There may be patterns in the triangles..

Answer:

You get a total of two hours of parking.

Step-by-step explanation:

First, you subtract the base fee of $3.50, which gives you $18.00. Then you subtract as many sevens there are in 18, which is two. And then your answer is shown, as two. Hope this helps!

Answer:

B

Step-by-step explanation:

Answer:

-4/9

Step-by-step explanation:

I used a calculator.

5/6(−8/15) in simplest form is -4/9.

A fraction is written in the form of a numerator and a denominator.There are two types of fractions. One is proper fraction in which numerator is less than the denominator and another one is improper fraction in which denominator is less than the numerator.All fractions can be written in the form of p/q, where q ≠ 0 cause anything divided by 0 is undefined.

According to the given questions we have to multiply two fractions        (5/6)(-8/15) which is

= -40/90.

= -4/9.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

Answer:

I'm not 100% sure if I did it right but I got x=1

Step-by-step explanation:

They are equal to each other cause it is an isosceles triangle

10x-3=5x+2

add the 3 to both sides

10x=5x+5

subtract the 5x from both sides

5x=5

divide the 5 from both sides

x=1

Answer:

The equation of the parallel line is x + 3y = 17

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercept

The form of the equation y = m x + b, where

∵ The equation of the given line is x + 3y = 4

→ We must put it in the form above to find its slope

→ Subtract x from both sides to move x to the right side

∵ x - x + 3y = 4 - x

∴ 3y = 4 - x

→ Divide both sides by 3 to make the coefficient of y = 1

∴ [tex]\frac{3y}{3}=\frac{4}{3}-\frac{1}{3}x[/tex]

∴ y = [tex]\frac{4}{3}[/tex] -  [tex]\frac{1}{3}[/tex] x

→ Compare it with the form of the equation above

∴ m = [tex]-\frac{1}{3}[/tex]

∵ Parallel lines have the same slopes

∴ The slope of the parallel line is [tex]-\frac{1}{3}[/tex]

→ Put it in the form of the equation

∴ y =  [tex]-\frac{1}{3}[/tex] x + b

→ To find b substitute x and y in the equation by the coordinates

   of a point on the line

∵ The line passes through the point (2, 5)

∴ x = 2 and y = 5

→ Substitute them in the equation

∴ 5 =  [tex]-\frac{1}{3}[/tex] (2) + b

∴ 5 =  [tex]-\frac{2}{3}[/tex] + b

→ Add  [tex]\frac{2}{3}[/tex]  to both sides

∴ [tex]\frac{17}{3}[/tex] = b

→ Substitute it in the form of the equation above

∴ y = [tex]-\frac{1}{3}[/tex] x + [tex]\frac{17}{3}[/tex]

→ Multiply each term by 3

∴ 3y = - x + 17

→ Add x to both sides

∴ x + 3y = 17

∴ The equation of the parallel line is x + 3y = 17

Answer:

[tex]\displaystyle y-5=-\frac{1}{3}(x-2)[/tex]

Step-by-step explanation:

Equation of a Line

Two lines are parallel if they have the same slope. We are given the equation of the line:

x+3y=4

To find the slope of this line, we must solve for y:

[tex]\displaystyle y=-\frac{1}{3}x+\frac{4}{3}[/tex]

The slope of this line is:

[tex]\displaystyle -\frac{1}{3}[/tex]

The equation of the new line has the same slope. To find its equation, we use the point-slope form of the line:

y-k=m(x-h)

Where (h,k)=(2,5). Thus:

[tex]\boxed{\displaystyle y-5=-\frac{1}{3}(x-2)}[/tex]

Answer:

the answer is 486

Step-by-step explanation:

answer: 0.000027= 2.7× 10 to the power of -5

Answer:

A. ((a^2)b)((b^2)a)

Step-by-step explanation:

A. ((a^2)b) ((b^2)a)

Open parenthesis

(a^2b)(b^2a)

a^3b^3

B. (a^4)b^4−ab

a^4b^4 - ab

C. ((a^2b^2))/2ab

(a^2b^2) / 2ab

D. (ab)(ba) (ab)

(a^2b^2)(ba)

Therefore,

a^3b^3 = ((a^2)b) ((b^2)a)

Answer:

A

Step-by-step explanation:

Answer:

[tex]x^3-5x^2+4x-20=(x-5)(x+2\mathbf{i})(x-2\mathbf{i})[/tex]

Step-by-step explanation:

Factorization of polynomials

Factor:

[tex]f(x)=x^3-5x^2+4x-20[/tex]

There are several techniques to factor polynomials. We'll use algebraic manipulation and common factor:

Separate in groups:

[tex](x^3-5x^2)+(4x-20)[/tex]

Factor out 4 from 4x-20:

[tex]=(x^3-5x^2)+4(x-5)[/tex]

Factor out [tex]x^2[/tex] from [tex]x^3-5x^2[/tex]

[tex]=x^2(x-5)+4(x-5)[/tex]

Factor out x-5:

[tex]=(x-5)(x^2+4)[/tex]

The roots of

[tex]x^2+4=0[/tex]

Are two complex numbers:

[tex]x=2\mathbf{i}, x=-2\mathbf{i}[/tex]

The complete factorization is:

[tex]\boxed{x^3-5x^2+4x-20=(x-5)(x+2\mathbf{i})(x-2\mathbf{i})}[/tex]

Answer:

12n-5

Step-by-step explanation:

Answer: I know B and D are correct for sure, and i'm pretty sure C is too.

Step-by-step explanation:

Answer:

Let the common ratio be x then

The amount of money in Terry' S Bank account will be 3x and that in Faye's Band Account will be 5x. So

According to question:

3x+£220=5x-£300

£220+£300=5x-3x

£520=2x

x=£210

Balance of Terry:3x

3×£210

£630

Balance of Faye=5x

5×£210

£1050

Money Altogether=£1050+£630

= £1680

Money Altogether in their account is £1680

Step-by-step explanation:

^

Answer:

$3,200

Step-by-step explanation:

384/12= 32

32*100= 3200

Answer:

He earns $46.08 because that would be 12% of $384:)

Answer:

e

Step-by-step explanation:

make 2 equations:

-equation 1: y+2>6

equation 2: -y-2>6

Then solve for each, and you will end up with -8>y>4

Answer:

Step-by-step explanation:

Given that the winners vote is represented by w

and that the opponents vote is represented by x

the question states that "The winner of an election received 1 more than 3 times as many votes as his opponent received"

Translated to mathematical expression we have

w=3(x+1)

w=3x+3

therefore the equation to find the number of votes his opponent received is known is

w=3x+3

Answer:

The answer is -115

Step-by-step explanation:

Answer:

-115

Step-by-step explanation:

Ur welcome

Answer:

D.

Step-by-step explanation:

The easiest way to tell is a relation is a function is to look at every x. A function cannot have two x's that are the same.

A. There are two x's with the value of 10.

B. There are two x's with the value of 20.

C. If you wrote this in ordered pairs, there would be two x's with the value 2.

D. Every x is different, so the answer is D.

Hope this helps! Have a great day c:

Answer:

1

Step-by-step explanation:

Answer:

.5

Step-by-step explanation:

was I right? if I was not sorry

Answer: slope = 1, y intercept = 3

Step-by-step explanation:

The line crosses the y axis at 3 and when you calculate rise over run, you get 1, so the slope is 1.