Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?

Answers

Answer 1

Answer:

C

Step-by-step explanation:

y = 5x + 3

y = 5.5x + 2

0.5x = 1

x = 2

y = 13

Answer 2

Answer:

The answer is y = 13

y = 5.5x + 2

x = 2

(5.5 * 2) + 2

(11) + 2 = Y or 13


Related Questions

PLEASE HELP ME OUT AND GRAPH THEMMMM :(((

Answers

Answer:

Just use math-way or des-mos  and it will graph them for you.

There are 5 pizzas, 3 breads, and 2 cookies in the restaurant . What is the probability of NOT getting bread

PLEASE, ANSWER NEEDED ASAP

Answers

Answer:

3 out of 10

Step-by-step explanation:

you have to add them all up which  will equal 10 then there are 3 breads so the answer is 3 out of 10

Answer:

The probilites are in the middle its more likely to get 5 pizzas and less likely to get 2 cookies

Step-by-step explanation:

Took the test

Jane needs $150 for the hot air balloon ride. She already has $45 and she can earn the rest by working 12 hours at her job. If h represents her hourly earnings, which of the following equations can be solved to find
Jane's hourly earnings? Circle two correct equations.
150 = 12h
12 = 150 - h
150 = 45 + 12h
150 + 45 = 12h
150 = 12h + 45

Answers

Answer:

C and E

Step-by-step explanation:

C and E are the only ones that are the same and represent the excerpt

Hope this help s plz mark brainliest if correct :D

Answer:

the last answer and the 3rd one

Step-by-step explanation:

4.
Linda's Video Store sold three times as many
Titanic tapes as Godzilla tapes. The price of a
Titanic tape is $20 and the price of a Godzilla
tape is $15. If her total sales for these tapes was
$2250, what is the total number of cach video that
she sold?

Answers

Answer:

T=90 G=30

Step-by-step explanation:

T=3G

20T+15G=2250

20(3G)+15G=2250

60G+15G=2250

75G=2250

Divide by 75

G=30

T=90 3(30)

Okay wow I get it now thanks

Suppose 2,400 spectators attend at leas one game this soccer season. Use ther survey data to estimate the number of spectators who attended 5 or more games this season

Answers

Answer:

800 spectators

Step-by-step explanation:

Using the survey provided above, we can see that the survey population is a total of 150 spectators by adding up all of the spectators. Since only 50 spectators attended 5 or more games then that means that the percentage of the survey population that attended 5 or more games is ...

50 / 150 = 0.3333 or 33.33%

Therefore, if we are supposing that 2,400 spectators attended at least one game this season then we can multiply this population by the percentage of people who tend to attend 5 or more games in order to actually calculate the total number of people who will attend 5 or more games this season.

2,400 * 0.3333 = 800 spectators

PLEASEEE HELP FAST

1. During which parts of the graph does Arthur’s distance from home decrease?
2. When is Arthur waiting for bagels? Explain how you know.
3. If Arthur’s pace had not been constant after leaving the bagel shop, which part of the graph would change? Explain how that part of the graph would change.

Answers

Answer:

1. During part 2. The y-axis (line going up) represents his distance. At part 1, his distance stays the same because he is sitting in the park. At part 2 we see the line go down, which means his distance from home is decreasing.

2.At part 3. His distance stays the same, which represents him waiting in line. We know this because the line stays at the same distance and the time increases(this is the x-axis)

3. There would be another part of the graph. If he had stopped again, there would have been another straight line with the distance the same and the time increasing.  

Step-by-step explanation:

HELP ITS DUE IN 5 MINUTES ILL GIVE BRAILIST

Answers

Answer:

Answer: C

Step-by-step explanation:

Find from first principles the derivative of cos x​

Answers

Answer:

Please see the explanation.

Step-by-step explanation:

Let

[tex]f\left(x\right)=cosx[/tex]

By the first principle

[tex]f\:'\left(x\right)=\lim _{h\to 0}\left(\frac{f\left(x+h\right)-f\left(x\right)}{h}\right)[/tex]

          [tex]=\lim _{h\to 0}\left(\frac{cos\:\left(x+h\right)-cos\:x}{h}\right)[/tex]

           [tex]=\lim _{h\to 0}\left[\frac{cos\:x\:cos\:h-sin\:x\:sin\:h\:-\:cos\:x}{h}\right][/tex]

           [tex]=\lim _{h\to 0}\left[\frac{-cos\:x\left(1-cos\:h\right)-sin\:x\:sin\:h\:}{h}\right][/tex]

           [tex]=\lim _{h\to 0}\left[\frac{-cos\:x\left(1-cos\:h\right)\:}{h}-\frac{sin\:x\:sin\:h}{h}\right][/tex]

           [tex]=-cosx\:\left(\lim \:_{h\to \:0\:}\frac{1-cos\:h}{h}\right)-sin\:x\:\lim \:\:_{h\to \:\:0}\:\left(\frac{sin\:h}{h}\right)[/tex]

           [tex]=-cosx\:\left(0\right)-sinx\left(1\right)[/tex]

            [tex]=-sin\:x[/tex]

2.3×10⁹=(1×10³)(2.3×10^n)​

Answers

Answer:

n = 6

Step-by-step explanation:

2.3 × [tex]10^{9}[/tex] = (1 × 10³)(2.3 × [tex]10^{n}[/tex] )

(1 × 10³)(2.3 × [tex]10^{n}[/tex] ) = (1)(2.3) × (10³)( [tex]10^{n}[/tex] ) = 2.3 × [tex]10^{3+n}[/tex]

2.3 × [tex]10^{3+n}[/tex] = 2.3 × [tex]10^{9}[/tex] ⇒ 3 + n = 9 ⇒ n = 6

a 90° angle cannot be assumed without specific Mark in the figure

true or false ​

Answers

Answer: i say its false

Step-by-step explanation:

What equation may be used to determine the value of x?

Answers

Answer:

y=mx+c

there are so many

depends on the question

Step-by-step explanation:

Loads of equations

Which type of work is an electrical engineer most likely to do?

Answers

Answer:

wiring probably.

Step-by-step explanation:

Translate the word phrase into a math expression.

12 meters longer than his throw.


t−12

t ÷ 12

t + 12

12 × t
answer right and get brainliest

Answers

Answer:

t+12

Step-by-step explanation:

brainliest por favor ❤❤

Answer:

t+12

Step-by-step explanation:

12 meters longer means that you're adding meters onto the throw. Hope that helps :)

what is the answer to this
3a+2b-a-3b

Answers

Answer:

Step-by-step explanation:2a-b

Answer:

2a-b

Step-by-step explanation:

We can start by grouping our A's and B's, while making sure to keep their individual signs.

For our A's, we get 3a-a and for our B's, we get 2b-3b.

When we simplify our A's, we get 2a and when we simplify our B's, we get -b.

After grouping them back together, you end up with 2a-b.

Don’t know how to simplify this need answer

Answers

Answer:

me either jvyvyhvy

Can someone help me out

Answers

I believe that the answer is j 6

-7x - 4y = 28
What is the x and y intercept

Answers

Step-by-step explanation:

x-int

-7x=28

x=-4

(-4,0)

-4y=28. y-int

y=-7

(0,-7)

Apply the distributive property to factor out the greatest common factor 12 + 80

Answers

Answer:

gcf is 4

Step-by-step explanation:

Answer:

4(3+20)

Step-by-step explanation:

the 4 is the greatest common factor so i pulled it out and divided 12 and 80 to simplify

Please help I don’t get it show work and I will give you brainliest

Answers

Answer:

wait are you like clicking on answer? or explaning it

Step-by-step explanation:

minimum possible interior angle in a regular polygon is A. 70⁰ B. 60⁰ C. 90⁰​

Answers

Answer: B.60°

Step-by-step explanation:

At time t=0 hours, a tank contains 3000 litres of water. Water leaks from the tank. At the end of every hour there is x% less water in the tank than at the start of the hour. The volume of water, in litres, in the tank at time t hours is Vt. Given that Vt=KtV0 V2=2881.2 work out the value of k and the value of x.

Answers

Answer:

x = 2; K = 0.98

Step-by-step explanation:

At time, t = 0, Volume of Water = 3,000 litres

After t hours , the Volume of water in the tank = Vt

At the end of every hour there is a x% less water in the tank then at the start of the hour

After 1 hour, volume of water left Vt = V1

V1 = 3,000 - 3000 × (x/100)

V1 = 3,000 - 30x

After 2 hours, Volume of water left is V2

V2 = (3,000 - 30 x) - (3,000 - 30 x) × (x/100)

V2 = (3,000 - 30 x) - (3000x - 30x²)/100

V2 = {100(3000 - 30x) - x(3000 - 30x)} /100

V2 = {(3000 - 30x)(100 - x)}/100

Recall, V2 = 2881.2

Therefore

{(3000 - 30x)(100 - x)}/100 = 2881.2

(3000 - 30x)(100 - x) = 288120

300000 - 3000 x - 3000 x + 30 x² = 288120

30 x ² - 6000 x + 11880 = 0

Dividing both sides by 30

x² - 200 x + 396=0

Factorizing:

(x -198)(x-2) = 0

x = 198 or x = 2

Since the percentage by which the water reduces cannot be greater than 100, x = 2 is chosen.

Step 2: Solving for k

Given that Vt=KtV0

K = Vt/V0

At t = 1

V1 = 3000 - 30x

V1 = 3000 - 30 × 2

V1 = 3000 - 60

V1 = 2940

K = 2940/3000

K = 0.98

PLEASSE HELPP Match the correct graph to the story below.
A bunny rabbit has a baby bunny. A month later, each bunny has another bunny. A month later, each bunny has another bunny, etc.
x = the number of months that have passed.

y = total number bunnies.

Answers

Answer:

x- none cause bunnies live for a year or two

Step-by-step explanation:

y- 4 cause it said only one bunny so 1 each month

Answer:

x- none cause bunnies live for a year or two

Step-by-step explanation:

y- 4 cause it said only one bunny so 1 each month

Find the slope of the line that passes through the points M(0,2) and N (1,7)
A. 1
B.-1
C.5
D.-5

Answers

Answer:

Hi... Your answer is... C=5

The density of a certain material is such that it weighs 4 kilograms per cup of volume. Express this density in pounds per liter. Round your answer to the nearest tenth.

PLZ HELP ASAP !!!!!!!!!!!!!!!!11











HELP WILL MARK BRAINLIST

Answers

Answer:

251 ounces per gallon

Step-by-step explanation:

Delta Math

The density of a material 4 kg/cup on converting it into pounds per liter will be 37.2 lbs/lt.

What are derived units?

Defining a derived unit is the process of deriving a measurement unit from one or more of the seven base units of the International System of Units (SI). There are two types of derived units: dimensionless and the product of base units.

Here it is given that, the density d of a certain material is 4 kilograms per cup of volume and it is find the density of material in pounds per liter.

Now it is known that,

1 kg equals 2.2 pounds

and, 1 cup of volume equals 0.237 lt.

converting the density d of material in pounds per liter and Rounding it to the nearest tenth :

[tex]\begin{aligned}d&= 4\:\frac{\text{kg}}{\text{cup}}\\&=\:\frac{4\cdot2.2\text{ pounds}}{0.237\:\text{lt.}}\\&\approx 37.2\:\frac{\text{ pounds}}{\:\text{lt.}}\end{aligned}[/tex]

Therefore, the density of a material 4 kg/cup on converting it into pounds per liter will be 37.2 lbs/lt.

Read more about SI units at:

https://brainly.com/question/12750330

#SPJ2

Solve the equation for the given variable.
A-(r+k/4 )
f for r

Answers

Answer:

This is a really complicated variable for me. I am very good at math though.

Step-by-step explanation:

Help pls!

13x - 14 = - 118
- 13x =

Answers

13x-14=-118
13x=-104
-13x=104

13x - 14 = -118

13x = -104

x = -8

I need help! Thank you :)

Answers

Answer:

parallel

Step-by-step explanation:

Answer:

Parallel

Step-by-step explanation:

If you graph these on a graph the beginning part is the same however the second part (the 2 and 30) are different which would just show how far to space the lines because those are  the y-intercept and the fraction part is the slope

In a right triangle the shortest rib is 4cm and the largest 8 cm .Find the perimetre​

Answers

Answer:

24 cm

Step-by-step explanation:

(4+4) + (8+8)

Question 8 of 10
What is the solution to the inequality?
15 < 4 + x

Answers

Answer:

11<x

x>11

first u subtract 4 on both sides

which leaves u with 11 on the left and x on the right

I think It's 11 I'm not sure

sue has 18 sweets, tony also has 18 sweets, sue gives tony x sweets, sue eats 5 of her sweets, tony then eats half of his sweets. write an expression for the number of sweets sue and tony now have

Answers

Answer:

s(18 - x)-5 t(18x/2) is initial

they now have;

t( 9x) s(13-x)

Step-by-step explanation:

Other Questions
WHO IS REALLY WELL AT SPANISH PLEASE HELPChoose the sentence that is grammatically correct.Mariana ha tenado muchos amigos durante su vida.Mariana he tenado muchos amigos durante su vida.Mariana ha tenido muchos amigos durante su vida.Mariana ha tenado muchos amigos durante su vida.Choose the sentences that is grammatically correct.Mis amigos siempre han hecho lo correcto.Mis amigos siempre han hacido lo correcto.Mis amigos siempre hemos hacido lo correcto.Mis amigos siempre he hecho lo correcto.Choose the sentences that is grammatically correct.Yo habas ido al cine antes de ir a tu casa.Yo haba irido al cine antes de ir a tu casa.Yo habamos idos al cine antes de ir a tu casa.Yo haba ido al cine antes de ir a tu casa.Choose the sentences that is grammatically correct.Espero que haba pasado un buen rato.Espero que hayas pasado un buen rato.Espera que ha pasado un buen rato.Espero que has pasado un buen rato.En ___ dormitorio duermen mis hermanos.estaesteestoestas which of the following is true of heirarchical clustering The nondisjunction in the first mitosis that causes a fly gynandomorph to form could only occur in a zygote that is:_________A. XYYB. XOC. XYD. XX How did the encomienda system benefit Spain?It forced American Indians to work on farms and in mines.It spread Christianity and Spanish culture among native peoples.It trained American Indians to ride horses and use Spanish weapons.It provided protective outposts to help defend Spanish holdings.20 POINTS What 3 food items taste the same when your nose is plugged? can someone give me a 2 sentence for this I'm almost done and I'm falling in this course this needs to be turned in by the end of the day HELP ASAP In the solid figure below, what is the volume of the bottom section of the figure?WILL GIVE BRAINLIST yuko kakazu uses subaru Telescope to search for collections of stars, planets, gas, and dust called How are the United States and Mexico similar?Check all that apply.O A. Similar military might and cultureB. Shared membership in the North American Free Trade AgreementO c. Shared cultureO D. Roughly the same gross domestic product Read the following excerpt from Leslie Marmon Silko's story "The Man to Send Rain Clouds."Leon watched him climb the hill, and when he had disappeared within the tall, thick walls, Leup at the high blue mountains in the deep snow that reflected a faint red light from the west-because it was finished, and he was happy about the sprinkling of the holy water; now thesend them big thunderclouds for sure.What does the holy water symbolize for Leon?O It symbolizes his ties to the Catholic Church.O It symbolizes his love and affection for Teofilo.O It symbolizes his Pueblo traditions and hope for rain.O It symbolizes his strong rejection of Pueblo traditions. find area and perimeter so idk how to do this one 8+1/10+1 1/5 step by step please an extranet allows authorized people outside an organization to have partial access to the organizations intranet? true or false? Someone please help me !! According to googles Ten Things,who does google want using their search services why plants need the carbohydrates they produce in photosynthesis? In binary, the second digit from the right is multiplied by the first power of two, and the _____ digit from the right is multiplied by the fourth power of two.A. FourthB. FifthC. Sixth 120 x 45 thank youuuu so according to bronsted and lowry, the acid is any species that can donate a proton.How can a proton switch to another atom?Is that even possible? How do you spell red A. LSTERorB. RED will mark brainliest if correct. :) ( also 100 points btw).