Miguel bikes 23 km per hour and starts at mile 10. Gabby bies 28 km per hour and starts at mile 0. Which system of linear equations represents this situation?

Answers

Answer 1

Answer:

y = 23x + 10

y = 28x + 0

Step-by-step explanation:

Given that:

Miguel :

Velocity = 23 km/hr

Starting position = 10 miles

Gabby:

Velocity = 28 km/hr

Starting position = 0 miles

The general form of a linear equation :

y = mx + c

In the scenario above ; the starting points corresponds to the intercept, c

The distance moved per hour (velocity) is the slope (m), which is the change in y per unit change in x

Hence ;

Miguel:

y = 23x + 10

Gabby:

y = 28x + 0


Related Questions

The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely

Answers

Step-by-step explanation:

9x2 − 12x + 4 = 18 - 12x + 4 = 22 - 12x = 2(11 - 6x)

length of 1 side = ± sqrt 2(11-6x) (rej neg value)

There are some nickles,dimes and quarters in a large piggy bank.For every 2 nickles there are 3 dimes.For every 2 dimes there are 5 quarters.There are 500 coins total.How many Nickles,Dimes and Quarters are in the piggy bank?

Answers

Answer:

I have no clue

Step-by-step explanation:

Please Help me find the answer by doing it step by step! PLEASE!!! QUICK!!! THIS IS URGENT!
-3[2- (y - 5] -4 [3 (y + 1) - (6 - y) (-2)]

Answers

Answer:

Standard form:

93−45y

Factored form:

3(31−15y)

Megan's bank account is charged $9.95 per month for an online newspaper subscription how can you represent a change in her account balance after three months of charges

Answers

Answer:

T = C - (9.95 * 3)

Step-by-step explanation:

The account balance total can be calculated with the following equation where the variable T represents the final balance while the variable C represents her current balance before the three months...

T = C - (9.95 * 3)

The monthly charge is multiplied by the three months that Megan will be charged and then discounted from her current balance in order to give the new Total Balance after paying the subscription for the three months.

if
[tex]f(x) = \sqrt{x} + 12[/tex]
and
[tex]g(x) = 2 \sqrt{x} [/tex]
what is the value of
[tex](f - g)(144)[/tex]
?​

Answers

Answer:

0

Step-by-step explanation:

We have the two functions:

[tex]f(x)=\sqrt{x}+12\text{ and } g(x)=2\sqrt{x}[/tex]

And we want to find (f-g)(144).

This is the same thing to f(144)-g(144).

So, let’s determine the value of f(144) and g(144) first:

[tex]\begin{aligned} f(144)&=\sqrt{144}+12 \\ &=12+12 \\ &=24\end{aligned}[/tex]

And:

[tex]\begin{aligned} g(144)&=2\sqrt{144} \\ &=2(12) \\ &=24 \end{aligned}[/tex]

Hence:

[tex]\begin{aligned} (f-g)(144) &= f(144)-g(144) \\ &=24-24 \\ &=0 \end{aligned}[/tex]

Our final answer is 0.

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[tex](f - g)(x) = \sqrt{x} + 12 - 2 \sqrt{x} \\ [/tex]

[tex](f - g)(x) = - \sqrt{x} + 12[/tex]

[tex](f - g)(144) = - \sqrt{144} + 12[/tex]

[tex](f - g)(144) = - \sqrt{ {12}^{2} } + 12 [/tex]

[tex](f - g)(144) = - (12) + 12[/tex]

[tex](f - g)(144) = - 12 + 12[/tex]

[tex](f - g)(144) = 0[/tex]

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The figures below are similar. Find the length of the missing side.
14
10
56
40
14
х
56

Answers

Answer:

12

Step-by-step explanation:

Everything is multiplied by 4

I am not sure and I’m sorry if I get this wrong but I think it’s 12....

I need 4 answers , The cost per pound of the apples on sale is $
.The cost per pound of the apples on sale is $___
.
You can buy
pounds of apples for $18.00 ___
Since 1 pound = 16 ounces, so there are about ___
apples in each pound.
You can buy approximately ____
apples for $18.00.

Answers

I believe the answer would be 18 apples since 1 pound = $1

You newton, and Descartes volunteer this summer. You have 2 times as many volunteer min as newton Descartes have 5040 volunteer min altogether how many min do you volunteer

Answers

Complete question is;

You, newton, and Descartes volunteer this summer. You have 2 times as many volunteer min as newton and Descartes. You all have 5040 volunteer min altogether. how many min do you volunteer?

Answer:

2520 volunteer minutes

Step-by-step explanation:

You have 2 times as many volunteer minutes as Newton and Descartes.

Now, if Newton and Descartes each have x volunteer minutes, it means you have 2x volunteer minutes.

Since the total volunteer minutes of the 3 of you is 5040,then we have;

2x + x + x = 5040

4x = 5040

x = 5040/4

x = 1260

Since you have 2x volunteer minutes, then you have: 2 × 1260 = 2520 volunteer minutes

সৌরজগতের গ্রহ গুলোর চিএসহ বননা দাও​

Answers

Answer:

সৌরজগতে গ্রহগুলির ক্রম, সূর্যের নিকটতম সূচনা এবং বাইরের দিকে কাজ করা নিম্নরূপ: বুধ, শুক্র, পৃথিবী, মঙ্গল, বৃহস্পতি, শনি, ইউরেনস, নেপচুন এবং তারপরে সম্ভাব্য প্ল্যানেট নাইন। আপনি যদি প্লুটোকে অন্তর্ভুক্ত করার জন্য জেদ করেন তবে তা নেপচুনের পরে তালিকায় আসবে

আশাকরি এটা সাহায্য করবে

Is there a constant rate of change? If yes, what is the rate?


Plz help I’m lost

Answers

What’s the question lol

What is the binary number for 16​

Answers

Step-by-step explanation:

Answer:

0001 0000

this is the answer and i had to make it longer so i could post it

The price of a remote control car was reduced from $200 to $120. By what percentage was the
price of the remote control car reduced?

Answers

Answer:

%40

Step-by-step explanation:


Determine whether the graph represents a function

Answers

Answer:

Step-by-step explanation:

18). Graph represent a function

19). Graph does not represent a function

-x + 1 = x + 21

solve for x


I need this asap​

Answers

Answer:

x = -10

Step-by-step explanation:

-x + 1 = x + 21

(given)

__________

-x + 1 = x + 21

+x +x

(addition property of equality)

(add the x term on both sides to cancel out -x)

__________

1 = 2x + 21

-21 -21

(subtraction property of equality)

(subtract by 21 on both sides to get rid of the constant term on the x side)

________

-20 = 2x

÷2 ÷2

(division property of equality)

(divide to get rid of the coefficient of 2 in the x term)

_______

-10 = x

(symmetric property of equality)

(switch both sides so that x is on the left)

_______

x = -10

________________________________

Proof by substitution:

x = -10 because

x = -10 → -x + 1 = x + 21 → -(x) + 1 = (x) + 21 → -(-10) + 1 = (-10) + 21 → 10 + 1 = 21 - 10 →

11 = 11

Answer:

x=10

Step-by-step explanation:

Put both of the x on one side, and the numbers on the other side (this breaks down the equation).

This is make it easier for you to add/substract/divide/multiply.

What is
3/4X5/6
A)1/2
B)1/3
C)2/3
D)5/8

Answers

Answer: 5/8

Step-by-step explanation:

When multiplying two fractions together, always try to cross-cancel if possible as your first step.

In this problem the 3 and 6 reduce to 1 and 2.

Next we simply multiply across the numerators and multiply across the denominators and we have our answer which is 5/8

Simplify ( - bc + 3b - 4c) + (bc + 3b + 4c).

Answers

9514 1404 393

Answer:

  6b

Step-by-step explanation:

  ( - bc + 3b - 4c) + (bc + 3b + 4c) = bc(-1 +1) +b(3 +3) +c(-4 +4)

  = 0bc +6b +0c

  = 6b

hope this helps.enjoy

Can anyone help me out with my Math homework plz and also can you provide step by step explanation of the attachment I will give you 20 points:

Answers

Answer:

y = -x + 2

Step-by-step explanation:

For any linear equation, the equation of the line can be written in the form 'y=mx+c'. In this form, m is the slope and c is the y-intercept. We can figure out both these things using the graph.

The slope is like the incline/decline and can be found by getting two points on the line, say (x1,y1) and (x2,y2) and using the following formula:

m = (y2-y1) / (x2-x1)

So lets take two points: (-1,3) and (2,0)

m = (0-3)/(2-(-1))

m = -3/3

m= -1

The y intercept (c) is the value for x when the line crosses the y-axis.

From the graph we can see that the line crosses the y axis when x=2

∴ c = 2

Now that we know the slope and intercept, we just sub them into the formula:

y = mx +c

y = -x + 2

Let me know if you have questions :)

Answer:

y equals -x plus 2

Step-by-step explanation:

for any linear equation, the equation of the line can be written in the form 'y=mx+c'. In this form, m is the slope and c is the y-intercept. We can figure out both these things using the graph.

the slope is like the incline or decline and can be found by getting two points on the line, say (x1,y1) and (x2,y2) and using the following formula:

                       m = (y2-y1) / (x2-x1)

The temperature of a liquid in an experiment starts at 0 degrees Celsius. The experiment calls for the temperature of the liquid to change at a rate of –0.6 degree Celsius per minute. How long will it take for the liquid to reach –10.5 degrees Celsius? 2Points Remember to divide to find the minutes.

Answers

Answer:

It will take 17.5 minutes or 17 minutes and 30 seconds to reach -10.5 degrees celsius

Step-by-step explanation:

Starting at 0 degrees, we have a change of -0.6 degree celsius per minute

We want to know how long it will take for the liquid to reach - 10.5 degrees Celsius

The total difference between the two is;

-10.5 - 0 = -10.5

The change per minute is -0.6

So the number of minutes it will take will be;

-10.5/-0.6 = 17.5 minutes

Which statement best explains the relationship between
lines AB and CD?

They are parallel because their slopes are equal.

They are parallel because their slopes are negative
reciprocals.

They are not parallel because their slopes are not
equal.

They are not parallel because their slopes are
negative reciprocals.

Answers

A- they are parallel because they have equal slopes.

Which property is used in the following expression ? 8(2 + 7) = 16 + 56

Answers

I need pints im so sorryy

Answer:

Distributive property

Step-by-step explanation:

Put these in order starting from the smallest
6^2 3^4 2^9
5^3

Answers

Answer:

6^2, 3^4, 5^3, and 2^9

Step-by-step explanation:

6^2= 36

3^4= 81

5^3= 125

2^9= 512

if -2/5r=-20, then r=50 true or false

Answers

Answer:

true

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

-2/5*50=-20

-2/250=-20

-1/125=-20

Un ascensor está en el segundo subsuelo, sube
seis pisos, luego baja cinco, vuelve a subir ocho
y finalmente baja trece. /En qué piso se quedó

Answers

Answer:

8th floor

Step-by-step explanation:

Because he went up twice

The first three terms of an arithmetic sequence are as follows.
-10, -4, 2
Find the next two terms of this sequence.
-10,- 4, 2, 0.0
Х
?

Answers

Answer: the awnswer is 3 i think hope you pass

Step-by-step explanation:

Write a multiplication equation for "Eight $5 bills are worth $40."

Answers

Answer: use your 5 times tables.

Step-by-step explanation:

5, 10 15, 20 25, 30, 35, 40

then count how many times it gotyou to 40

it took 8 times to get to 40.

Identify the polynomial by degree and number of terms: 2x3 + 5x

Answers

Answer: x(2x^2+5)

Step-by-step explanation:

this prob didnt help so i atleast tryed

No entendi lpM explicen

Answers

no able engles? Don’t know if i spelt that right but

Figure H was reflected across line L resulting in figure H'. Describe a translation that would map figure H' back onto Figure H

Answers

Answer:

Reflecting it over line L again

Step-by-step explanation:

This is too simple to explain in detail,

if you flip it over, flip it over again.

What is the percent of change from 24 to 30?
A.
20% decrease
B.
25% decrease
C.
20% increase
D.
25% increase

Answers

Answer:

D

Step-by-step explanation:

24        X

----  =   ----          than cross multiply and solve for X

30       100

Answer:

I am not sure I this one but The answer is efither B or D

Try going with the answer D if its not the answer its my fault. I am sorry if You get this wrong.

smash or pass? lets make this a trend :)

idea from dear amj1103

Answers

Answer:

Smash, all the Wayyyyyyyyyyyy

Answer:

Hehe

Step-by-step explanation:

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