Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After running for 54 minutes, she completes 6 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers, represent the dependent variable.

Which equation can be used to represent k, the number of kilometers Julissa runs in t minutes?
k – 2 = k minus 2 equals StartFraction 1 Over 9 left-parenthesis t minus 18 right-parenthesis.(t – 18)
k – 18 = k minus 18 equals StartFraction 1 Over 9 left-parenthesis t minus 2 right-parenthesis.(t – 2)
k – 2 = 9(t – 18)
k – 18 = 9(t – 2)

Answers

Answer 1

Answer:

4th option is coreect

Step-by-step explanation:

Answer 2

Answer:

4th answer is correct.!

Step-by-step explanation:


Related Questions

Which value of x satisfies the equation |-2x|=10

Answers

Answer:

Step-by-step explanation:

First you will divide I-2xI on both sides that should look like this:

       -2x/-2 = 10/-2

when you divide it your -2‘s should cancel out and you should be left with

         -x=10/-2

when You divide 10/-2 you should get -5

         10/-2= -5

your answer should look like this then

         -x=-5

-5 is just one of your answers the other is 5

To get rid of the negative on the -X you have to didvide it by both sides

        -x/-x=-5/-x

your answer should be

          X= 5

your final answers are

      -5 or 5

The value of x is "5".

Equation:

[tex]|-2x|=10[/tex]

x=?

[tex]\to |-2x|=10\\\\\to 2x=10\\\\\to x=\frac{10}{2}\\\\\to x= 5[/tex]

Therefore, the final answer is "5".

Learn more about the equation here:

brainly.com/question/18681264

A function that changes in the same way all the time is?

Answers

Answer:

A function that changes the same way can be a linear function.

y = a*x + b.

Where the rate of change (this is, how much changes y when x increases or decreases) is defined by the coefficient a, that is constant.

for example, suppose that when x = x0, we have y = y0

y0 = a*x0 + b.

Now x0 increases by one unit, to (x0 + 1)

y = a*(x0 + 1) + b = (a*x0 + b) + a = y0 + a.

Then if x increases (or decreases) 1 unit, y increases (or decreases) a units.

Now, we can define the rate of change of a function as it's derivate with respect to some variable.

In this case, if we derive with respect to x, we have:

y' = a

Then the rate of change is constant.

figure B is not a correct rotation of figure A

Answers

Not an answer. There should be a question here? I didn’t see one

John puts $300 into a savings account. He puts more money into the account each month. After 12 months he has $1500 in his savings account. At this rate, how much will he have in his savings acount after 24 months?

Answers

Answer:

7200

Step-by-step explanation:

I'm not going to explain but i will say that you should multiply 300x 24 to get you answer  

Answer:

[tex]y= 100x +300[/tex]

[tex]x=[/tex] How many months

Step-by-step explanation:

In this equation a

We are solving to find after 24 months you want to plug 24 in to where X is and solve the eqaation from there.

Hope this helps!!

Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12 cm and is the longest side of ABC. Side DE measures 8 cm and is the longest side of DEF.

Triangle ABC is a scaled copy of triangle DEF with what scale factor?

Answers

Answer: scale factor = 1.5

Step-by-step explanation:

[tex]\text{Scale factor}=\dfrac{\text{Side length of image}}{\text{Side length of original figure}}[/tex]

Given: Triangle ABC is a scaled copy of triangle DEF.

Side AB = 12 cm and is the longest side of ABC.

Side DE = 8 cm and is the longest side of DEF.

[tex]\text{For similar triangles, Corresponding sides are proportional.}[/tex]

AB is corresponds DE (longest side of both triangles)

So, [tex]\text{Scale factor}=\dfrac{\text{AB}}{\text{DE}}=\dfrac{12}{8}=1.5[/tex]

Hence, the scale factor = 1.5.

What is energy of an electron with frequency of 5.25 x 10^14 s-1?

Answers

Answer:

3.48*10^-19

Step-by-step explanation:

We have the equation E = hf where h is planck's constant = aroung 6.63*10^-34 and f = frequency. We can then plug in the values and get the answer above.

Find the inverse of the function. Show work.
g(x)= - 3/x-2 +2

Answers

Answer:

[tex]\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystyle g(x)=-\frac{3}{x-2}+2[/tex]

Let's find the inverse of g.

Call y=g(x):

[tex]\displaystyle y=-\frac{3}{x-2}+2[/tex]

We need to solve for x. Multiply both sides by x-2 to eliminate denominators:

[tex]y(x-2)=-3+2(x-2)[/tex]

Operate:

[tex]yx-2y=-3+2x-4[/tex]

Collect the x's to the left side and the rest to the right side of the equation:

[tex]yx-2x=-3-4+2y[/tex]

Factor the left side and operate on the right side:

[tex]x(y-2)=-7+2y[/tex]

Solve for x:

[tex]\displaystyle x=\frac{-7+2y}{y-2}[/tex]

Interchange variables:

[tex]\displaystyle y=\frac{-7+2x}{x-2}[/tex]

Call y as the inverse function:

[tex]\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}[/tex]

Line m passes through (5,-3) and is parallel to a line that passes through (1,-4) and (9,-2).

Answers

A picture might help not enough explaining

The required equation of the line is given as y =1/4x -17/4.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.


The slope of the line is given as,
m = (y₂ - y₁) /  (x₂ - x₁)
Substitute the value in the above equation,
m = -2 + 4 / 9 - 1

m = 2 / 8
m = 1/4
Since the slope of the parallel lines is equal,
The equation of the parallel is given as,
y - y₁ = m (x - x₁)

Substitute the point in the equation,
y + 3 = 1/4(x - 5)
y = 1/4x - 5/4 -3
y =1/4x -17/4

Thus, the required equation of the line is given as y =1/4x -17/4.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ2

Draw and find the value of the missing segment below.

Answers

Answer:

7

Step-by-step explanation:

its 7 person above me was correct

PLEASE HELP!!

What value of x makes this equation true?

5-2(x + 8) = 6x + 7

Answers

Answer:

Step-by-step explanation:

5-2x+16=6x+7

-2x-6x=7-5-16

-8x=-28

x=28/8=14/4=7/2=3.5

will be nice if you give me brainlies.Good luck!

Please someone help!
1. (First Screenshot)
2. (read the second screen shot)

Answers

Answer:

Dependent would be the number of cartons and independent would be the size.

Step-by-step explanation:

Folgers coffee is priced at 12.88

Answers

Answer:

yes.........................................................

Step-by-step explanation:

Which property is used in the following equation (3•4)•5-3•(4•5)

Answers

Answer:

8

Step-by-step explanation:

A square sand box has an area of 58 square meters. Which is the best estimate of the length of one side of the sand box ?

A 8.0 meters
B 5.6 meters
C 7.6 meters
D 7.0 meters

Answers

Answer:

Step-by-step explanation:

A 8.0

Because linear pairs are complementary, the remaining two angles must also be right angles. true or false?

Answers

[tex]\large\boxed{\textsf{False.}}[/tex]

[tex]\Large\underline{\textsf{What are Linear Pairs?}}[/tex]

[tex]\textsf{Linear Pairs are 2 angles that form a straight angle.}[/tex]

[tex]\textsf{Straight angles are equal to 180}^{\circ}.[/tex]

[tex]\textsf{Complementary angles are 2 angles that form a right angle.}[/tex]

[tex]\textsf{Right angles are equal to 90}^{\circ}.[/tex]

[tex]\textsf{Because Linear Pairs are equal to 180}^{\circ}, \textsf{Linear Pairs are Supplementary.}[/tex]

[tex]\textsf{For this problem, if linear pairs are complementary, the other 2 angles will be 90}^{\circ}?[/tex]

[tex]\textsf{False, assuming we are referring to angles that add up to 360}^{\circ}.[/tex]

[tex]\textsf{The angles would add up to 270}^{\circ} \ \textsf{instead.}[/tex]

-1/2 + 4/5v=-5/3 solve for V

Answers

Answer:

v = -35/25      or      -1   11/24  

Step-by-step explanation:

First, isolate the variable. We should add 1/2 on both sides of the equation to get 4/5v = -7/6. Then we divide 4/5 on both sides to get v = -35/24!

hope this helped!! <3

why is 2 times 3/4 less then 2

Answers

since 3/4 is less than one. if the number is less than one, it will always result in a smaller number. And anything multiplied to one is the other number.

EX: 1*3=3

3/4*3= 9/4= 2 1/4= 2.25

what is bigger 1/2 or 1

Answers

Answer:

1

Step-by-step explanation:

1/2 is half of 1

Hope this helps! Stay Safe!

Answer:

1

Step-by-step explanation:

because 1/2is just .50 wich is half of 1

Marissa's piggy bank has 42 coins in dimes and quarters. The combined value is $7.35. How
many coins of each type are there?

Answers

Answer:

21 quarters and 21 dimes

Step-by-step explanation:

21 quarters = 5 dollars and 25 cents

21 dimes = 2 dollars and 10 cents

add together and you get the total

21 quarters and 21 dimes

Two measures are complementary. If Angle 1 is 43 degrees and Angle 2 is (x-7) degrees, what is the value of x? Thanks!

Answers

Answer:

x = 54

Step-by-step explanation:

43 + x - 7 = 90

36 + x = 90

x = 54

Is this associative property? Distributive? Or something else?

Answers

Answer: Commutative Property

The Commutative Property states that any multiplication or addition equation flipped around will have the same value. For example:

   [tex]3 + 8 = 8 + 3[/tex]

Hope this helps you!

Help please ASAP! THANKS!!!!

Answers

Answer:

(3,1)

Step-by-step explanation:

What number is the largest?
A) 3.4 x 10^23
B) 3.4 x 10^21
C)3.4 x 10^22

Answers

Answer:

is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The higher the exponent of a number, the larger the number is. The highest exponent is that of A which is 23.

I WILL AWARD BRAINLIEST

Answers

Answer:

Choice 2 and 4

Step-by-step explanation:

3x-1>2

+1 +1

3x>3

x>1

8-4x<4

-8 -8

-4x<-4

x>1

Solve for the slope of the graph.

Answers

Answer:

-3/4

Step-by-step explanation:

rise/run

^^^you go up 3 and move left 4

The diagram shows a figure made of two right rectangular prisms.
3 yd
9 yd
4 yd
8 yd
6 yd
22 yd
What is the total volume of the figure?
O A. 52 cubic yards
B. 108 cubic yards
O c. 1,056 cubic yards
O D. 1,164 cubic yards
O E. 1,584 cubic yards

Answers

You have to do
V=L*W*H and you will get your answer!

Answer: O A.52 cubic yards

Step-by-step explanation: if u add 3+9+4+8+6+22= 52 cubic yards in the total volume of the figure :>


help meee please :))))

Answers

Answer:

90°

Step-by-step explanation:

Multiplication Property of Equality
If 4x divided by 2=4 then______

Answers

So
4x/2 = 4
*2 on both side
4x = 8
Divide by 4 on both sides
X = 2

Hope this helps, let me know if you have any questions

On a treasure map, the actual distance varies
directly to the scaled distance. If 15 actual
miles is represented by 3 centimeters on the
map, then how many centimeters on the map
are equivalent to 135 actual miles?
(A) 27 centimeters
(B) 32 centimeters
(C) 529 centimeters
(D) 675 centimeters

Answers

Answer:

Step-by-step explanation:

10 actual miles 2 cm 120 actual miles

1/2x + 24 = 6X-6
Help me

Answers

Answer:

x=5.45

Step-by-step explanation:

Answer:

answer

Step-by-step explanation:

Exact form: 60/11

Decimal form: 5.45

Mixed form: 5 5/11

Hope it answers your question

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