Car x travels 162 miles in 3 hours: write an equation of the line that describes the relationship between distance and time. Use x for the time in hours and y for the distance in miles

Answer:

244,160

Step-by-step explanation:

Answer:

457.8

Step-by-step explanation:

Answer:

2x - 6 = 5x-10 ... 4. 2x-1= x - 5+ 3x. 2x-1=4x-5. - +5 +5. 5. 3(y-1)=-(4-5). 3y-3 = -4+5. +y

Step-by-step explanation:

Answer:

whichever equation equals =15g2

Step-by-step explanation:

Answer:

(17 – 2)g ^2

Step-by-step explanation:

Answer:

2/3 / 1/6

4/6 / 1/6

1/6 can go into 4/6 4 times. the answer is C; 4

Step-by-step explanation:

Answer:

your answer will be $29.

1 LB= $4

4 Oz = $1

Answer:

[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]

Thus, the equivalent expression is:  [tex]\frac{1}{24^3}[/tex]

Step-by-step explanation:

Given the expression

[tex]3^{-3}\cdot 8^{-3}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=8^{-3}\cdot \frac{1}{3^3}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=\frac{1}{3^3}\cdot \frac{1}{8^3}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]=\frac{1\cdot \:1}{3^3\cdot \:8^3}[/tex]

[tex]=\frac{1}{24^3}[/tex]

Thus,

[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]

Thus, the equivalent expression is:  [tex]\frac{1}{24^3}[/tex]

Answer:

c

Step-by-step explanation:

Answer:THE ANSWER IS C HOPE THIS HELPS ANY

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i used a calculator (they never lie)

Answer:

22

Step-by-step explanation:

60+6x-12= 180

6x = 180 -48

x= 132/6= 22

Answer:

s=2r

Step-by-step explanation:

Solution:

Given;

2q-r=p

r=q-s

or,q=r+s

p=q+2r

To prove: s=2r

Now,

2q-r=p

or,2(r+s)-r=q+2r

or,2r+2s-r=r+s+2r

or,r+2s=3r+s

or,s=2r

PROVED

If you want any other solutions follow me

THANK YOU

By using the substitution method we can prove s = 2r.

Given,

2p - r = p

r = q - s

p = q + 2r

We need to prove s = 2r.

It is a method where we substitute the value of one variable in one equation for the same variable in the other equation.

Example:

x + 4 = y _____(1)

x = y - 4

x + 5 = 2y ______(2)

Putting x = y - 4 in (2)

y - 4 + 5 = 2y

-4 + 5 = 2y - y

1 = y

y = 1

Prove s = 2r.

We have,

2q - r = p ____(1)

r = q - s _____(2)

p = q + 2r ______(3)

From (1) and (2)

Substituting (2) in (1)

2q - (q - s) = p

2q - q + s = p

q + s = p _____(4)

Putting (4) in (3)

q + s = q + 2r

q - q + s = 2r

s = 2r

Hence proved.

Thus we can prove s = 2r.

Learn more about how to prove a given expression here:

https://brainly.com/question/17846064

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Answer:

Step-by-step explanation:

I think you are correct. The bottom of the drawing has to have a width or someway of finding it. Also the breakup of the height needs some sort of clue where that breakup occurs.  I think you likely have to ask your instructor.

Answer:

(x-3)(x+8)

Step-by-step explanation:

Answer:

(x-3)(x+8) take your pick

Answer:

18+68(25-18)=18+68(7)

=18+476

=494

Answer:

Monthly service fee is like the fixed cost which is basically the y-value where graph crosses the y-axis.

From graph we see that graph crosses at 1 on y-axis so monthly service fee according to sample graph = $1

Now the per check fee works like slope of the line.

To find the slope we need two points so find any two points on the graph of line. I'm using points (1,0) and (4,3)

now slope can be found using formula

Hence per check fee will be $0.5 as per attached sample graph.

You can use same technique for the original graph given with this question.

Step-by-step explanation:

Answer:

A monthly service fee of 0.50 and a per-check fee of 0.50

Step-by-step explanation:

Answer:

because at 40 its still warm but really cold  but in -5 its cold wherever you go even in the warmest blanket

Step-by-step explanation:

The statement about the correlation coefficient of the exponential and logarithmic model is true

The correlation coefficient, r² is given as:

r² = 0.668

An exponential model and a logarithm model are inverse functions.

This means that, their correlation coefficients are also inverse

Given that the correlation coefficient, r² of the exponential data is 0.668.

And the highest value of the correlation coefficient is 1.

This means that the correlation coefficient, r² of the logarithmic data would be less than 0.668

Hence, the given statement is true.

Read more about regression line at:

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Answer:

true

Step-by-step explanation:

Answer:

32 and 5n + 2

Step-by-step explanation:

(a)

The pattern of the number of sticks is

7, 12, 17

There is a common difference of 5 between consecutive terms.

Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is

a₄ = 17 + 5 = 22

a₅ = 22 + 5 = 27

a₆ = 27 + 5 = 32

There are 32 sticks in pattern number 6

(b)

The sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

Where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 5 , then

[tex]a_{n}[/tex] = 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2

number of sticks in pattern number n is 5n + 2

32 and 5n + 2

Step-by-step explanation:

(a)

The pattern of the number of sticks is

7, 12, 17

There is a common difference of 5 between consecutive terms.

Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is

a₄ = 17 + 5 = 22

a₅ = 22 + 5 = 27

a₆ = 27 + 5 = 32

There are 32 sticks in pattern number 6

(b)

The sequence is arithmetic with n th term

= a₁ + (n - 1)d

Where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 5 , then

= 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2

number of sticks in pattern number n is 5n + 2

Answer:

im sorry for doing this but i really need points

Step-by-step explanation:

The solution is 40% acetic acid.

Multiply the amount of the solution by 40%:

15 liters x 0.40 = 6 liters

There is 6 liters of acetic acid

Answer:

7

Step-by-step explanation:

Just add them together...

Answer:

After the transition, point A is at Location (-1, -12) and point B is located at (-2, 7)

Step-by-step explanation:

hope that helps

Answer:

y + 4 = (16/81)(x - 10)

Step-by-step explanation:

The general formula for a parabola passing through (x, y) and with vertex (h, k) is                  y - k = a(x - h)^2.

Here we are told that x = 1, y = 12, h = 10 and k = -4, which gives us:

                         12 + 4 = a(1 - 10)^2, or

                              16  =  81a

Then a = 16/81, and the desired parabola is

                                  y + 4 = (16/81)(x - 10)

Answer:

no. I'm pretty sure it's not