Grace and Hannah are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour. Let GG represent Grace's distance, in miles, away from the stadium tt hours after noon. Let HH represent Hannah's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine the number hours after noon, t,t, when Grace and Hannah are the same distance from the stadium.

Answers

Answer 1

Answer:

Step-by-step explanation:

Grace: -40t+250

Hannah: -54t+306

-40t+250 = -54t+306

SOLVE THE EQUATION ABOVE

t=4

Answer 2

The total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4 and this can be determined by forming the linear equations.

Given :

Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour.

The following steps can be used in order to determine the number of hours afternoon when Grace and Hannah are the same distance from the stadium:

Step 1 - According to the given data, 'G' represents Grace's distance, in miles, away from the stadium and 'H' represents Hannah's distance, in miles, away from the stadium.

Step 2 - The linear equation that represents Grace's distance from the stadium is:

[tex]G = 250-40t[/tex]

Step 3 - The linear equation that represents Hannah's distance from the stadium is:

[tex]H = 306 - 54t[/tex]

Step 4 - The value of 't' when Grace and Hannah are the same distance from the stadium is:

[tex]306-54t = 250-40t[/tex]

Step 5 - Simplify the above expression.

[tex]56=14t[/tex]

[tex]\rm t = 4\;hr[/tex]

So, the total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4.

For more information, refer to the link given below:

https://brainly.com/question/11897796


Related Questions

When Arjun makes hot cocoa, he adds 20\text{ mL}20 mL20, start text, space, m, L, end text of chocolate syrup for every 333 ounces of hot water. Arjun's brother, Eli, adds 45\text{ mL}45 mL45, start text, space, m, L, end text of chocolate syrup for every 666 ounces of hot water. Which hot cocoa is more chocolatey? Choose 1 answer: Choose 1 answer:

Answers

Answer:

45mL hot cocoa is more chocolatey

Step-by-step explanation:

When Arjun makes hot cocoa, if he add 20mL of chocolate syrup to 3ounces of water, let us know the equivalent chocolate in one ounces of water.

20mL = 3 ounces

x = 1 ounce

cross multiply

3x = 20

x = 20/3

x = 6.67 mL

This means he must have add 6.67mL of chocolate to 1 ounce of water.

Similarly, if 45mL is added to every 6 ounces

45mL = 6ounces

x = 1 ounce

cross multiply

6x = 45

x = 45/6

x =  7.5mL

This means he must have add 7.5mL of chocolate to 1 ounce of water.

The hot cocoa that is more chocolatey is the one with the highest amount of chocolate in 1 ounce. That is 45mL hot cocoa

Answer:

eli's cocoa is more chocolately. i would show proof (on khan academy), but I just skipped the q. :|

Step-by-step explanation:

Can someone tell me the answer please. Identify the vocabulary word that matches the picture. ​

Answers

I agree with the person above a Cartesian plane

Name the property that the statement illustrates.

Answers

Answer:

Symmetric property of angle congruence

symmetric property of angle congruence

which line is perpendicular to a line that has a slope of 1/2​

Answers

Line FG is the answer

Answer:

It’s line AB

Step-by-step explanation:

The equation for like AB is y=1/2x+0 and is perpendicular to HJ

Which of the choices below best describes the domain and range of this problem. Domain would be tickets sold and range would be amount of money he collected. Elijah has already sold $40 worth of tickets for a local raffle. He has 5 tickets left to sell at $5 per ticket.

Answers

Answer:

Step-by-step explanation:

Amount of ticket sold = $40

If one ticket is $5, we need to know the amount of ticket he sold that fetched Elijah $40

$5 = 1ticket

$40 = x tickets

Cross multiply

5x = 40

x = 40/5

x = 8tickets

If he has 5tickets left to sell at $5 per ticket, the total tickets the sold will be 8+3 = 13 tickets

The domain of the problem will be [1, 13]

For the range:

The amount of the remaining 5tickets will be (5×$5) = $25

Initial amount made = $40

Total amount he collected = $25+$40

= $65

The range if the problem will be [$5, $65]

Reema spends $19.25 on 100 lead pencils. what is the price of one pencils? round the answer to the nearest penny.​

Answers
$0.02
$0.19
$1.93
$19.25

Answers

0.19 it’s B and I know cause it’s common sense

Answer:

0.19 aka B

Step-by-step explanation:

HELP ME PLS ITS 3AM IM TIRED // geometry HL AND CPCTC

Answers

Answer:

b

Step-by-step explanation:

angle b = angle e = 90 (given) R

if ac = df H

bc = ef (given) S

(8.1 x 104)
+
(2.5 x 104). Express your answer in scientific notation.

Answers

Answer:

=10.6x104

Step-by-step explanation:

=8.1x104+2.5x104

=(8.1x104+2.5x104)

=10.6x104

(8.1 x104)+(2.5 x 104)

Multiply the numbers

842.4 + (2.5 x 104)

Multiply the numbers

842.4 +260

Now we do the same thing only different way

        2

       2.5

    x 104

________

           100

            000

             2 50 0

______________

            260

Multiply the digits

4 x 5 =20

Take the last digit and write it in the answer line

Carry the next digit and save it for the next calculation

Multiply the digits

4 x 2=8

Add the carried digit for the previous result

8+2 =10

Write the result in the answer line

Move the next digit and write it the next result below

Every digit multiplied by zero equals zero

Move to the next digit an write the next result below

Every digit multiplied by one stays the same

Add the numbers

Move the decimal sign as many times as there are decimal places in both factors combined.

Remove the unnecessary zeros

The result is 260

842.4+260

Add the numbers

1102.4

  842.4

+   260.0

_________

   1102.4

Write zeros to get the same number of decimal places.

Add the digits in the column

4+0=4

Write the result under the column

Add the digits in the column

2+0=2

Solution: 1102 .4

Alternate form : 5512/5 , 1102 2/5

PLEASE MARK ME AS BRAINLIEST

8 7/90 in decimal form

Answers

Answer:

0.07–

Step-by-step explanation:

The answer is above :)

Answer:

to express in decimal form , we have to join convert the mixed fraction into a improper fraction.

8 7/90 = d * w + n

          =  90 * 8 + 7

        =    720 + 7

          = 727 / 90

 now you have to make the denominator into a mutiple of 10

         = 727 / 90  divided by 9

        =  80 / 10

       = 0.80

Step-by-step explanation:

hope it helps .

how do i do this
10 x 10 x 10 =
10 squared =
10 6

Answers

Answer:

Well 10 to the 6th power right?

Step-by-step explanation:

well u multiply 10x10x10x10x10x10

1000000

im sorry if this is not correct im sorry if its not 10 to the 6th power ;ccc

1000000 that is your answer

Will give BRAINLIEST if it’s correct pls explain why rol

Answers

she’s serving 20% I know this because there are 5 pieces cut evenly! so 100 divided by 5 is 20.

Answer:

think of the pie as 100, each slice is worth 20 so she served 20% of the pie.

Step-by-step explanation:

i need help with this ​

Answers

Answer:

1. x=9

2. x=2

3. x=6

Step-by-step explanation:

I only know 1-3 sorry, but hope this helps

Will mark brainliest if correct!!!
Evaluate 8a + 3b - 10 + c² when a = 2, b = 5, and c = 4.

Answers

Answer:

37

Step-by-step explanation:

8(2)+3(5)-10+c^2=37

Paisley earned $384.30 at her job when she worked for 21 hours. How much money did she earn each hour?

Answers

Answer:

18.3

Step-by-step explanation:

384.3 divided by 21

Graph g(x), where f(x) = 4x − 2 and g(x) = f(x + 1).

a line labeled g of x that passes through points 0, negative 2 and 1, 2
a line labeled g of x that passes through points 0, negative 3 and 1, 1
a line labeled g of x that passes through points negative 1, negative 2 and 0, 2
a line labeled g of x that passes through points 0, negative 1 and 1, 3

Answers

9514 1404 393

Answer:

  a line labeled g of x that passes through points (-1, -2) and (0, 2)

Step-by-step explanation:

We can find the function g(x) to be ...

  g(x) = f(x+1) = 4(x+1) -2

  g(x) = 4x +2

This tells us the y-intercept is (0, 2), so the only viable answer choice is ...

  a line labeled g of x that passes through points (-1, -2) and (0, 2)

Answer:

Your answer would be C:]

Step-by-step explanation:

2-10n plez helppppppppppppppppppppp

Answers

Answer:

2-10n=.............what. We can't figure out n given 2-10n without a solution

Step-by-step explanation:

This doesn’t make sense

Benjamin must have 120 credit hours of instruction to receive his college degree. Benjamin wants to graduate in 8 semesters without attending summer sessions. How many credit hours must Benjamin take on average each semester to graduate in 8 semesters? (8) Simplify this expression: -4^2

Answers

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that Benjamin must have 120 credit hours of instruction to receive his college degree and that he wants to graduate in 8 semesters without attending summer sessions.

The number of credit hours that Benjamin must take on average each semester to graduate in 8 semesters will be:

= 120/8

= 15 credit hours

(8) Simplify this expression: -4^2. This will be:

= -4 × -4

= 16

Order these in descending order (greatest to least). 1 is the greatest. 2 is the middle. 3 is the least.

Answers

Answer:

3/20 then 0.015 then 0.15%

Step-by-step explanation:

3/20 then 0.015 then 0.15%

3/20 is 0.15

0.15% is .0015

0.015 is 0.015

Pls answer for brainliest!

Answers

Answer:

h<2

Step-by-step explanation:

5×2h+5×8<60

10h+40<60

10h<60-40

10h<20

10. 10

h<2

Answer:

Step-by-step explanation:

5(2h + 8) < 60

10h + 40 < 60

10h < 30

h < 3

What is X? −7x−8= -10x+4

Answers

Answer: x=4

-7x-8=-10x+4

+8 +8

-7x=-10x+12

+10x +10x

3x=12

3x/3=12/3

X=4

The phone company makes 2 defective phones for every 145 made. How many phones will be defective in a batch of 870 phones?

Answers

Answer: 12 defective phones

Steps: Divide 870 by 145.

870 ÷ 145 = 6

6 batches are in this amount. If 1 batch has 2 defective phones, then 6 batches have 12.

Therefore the amount is twelve.

Plz mark brainliest:)

How many square feet of outdoor carpet will
we need for this hole?

Answers

Answer:

42 square feet

Step-by-step explanation:

the smaller square at the bottom

3 x 2 = 6 square feet

the larger square

3 x11 = 36

add the two areas together

36+6 = 42

0.4 (3d - 5) =4 hi :)))))

Answers

Answer:

d=5

Step-by-step explanation:

0.4 times 3= 1.2

0.4 times -5= -2

4+5= 6

6/1.2=5

Pls halp due today thank you!

Answers

Answer:

k

Step-by-step explanation:

Slope = -8/1
Y-Intercept = (0,4)
Equation = y=-8+4

What is the domain of f(x)?
O {xl-4 O {xl-3 < x < 4}
O {x|1 < x < 4}
O {x|2 < x < 4}

Answers

The answer is d and if it is not d then it is c.
I hope this helps you

1
4
a +
1
3
a + 8 = 22

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

a=14/27

Decimal Form:

a=0.¯¯¯¯¯¯518

Step-by-step explanation:

What is the area of this tile?
10 in.
8 in.
6 in.

Answers

Answer:

I belive the area is 24...........

Step-by-step explanation:

i know it is 24  reason becuase if you add like this (10 + 8) + 6 you get 24 so means the area is 24 inches.

I think answer should be 24 please give me brainlest let me know if it’s correct or not okay bye

help please i'll love you forever thanksssss . *btw i am going to post a lot of questions if you answer & explain I'll give you brainliest each time .*

Isabella noticed that when she doesn't study for a test, on average she makes a 45. Isabella also realizes that for every hour she studies, on average she scores an additional 7 points. Which of the following represents g, get average test score she studied for h hours?

a. 7-5h=g
b. 7+5h=g
c. 45+7h=g
d. 45-7h=g

Answers

Answer:

C. 45 + 7h = g

Step-by-step explanation:

This one would be correct because you have to add 7 points to the 45 points she would get on average without studying, without forgetting to multiply 7 by the number of hours that Isabella studied.

Example:

Let's say that Isabella studied for 3 hours. We could replace the h for the number of hours that she studied.

45 + 7(3) = g

Now you just have to solve the equation.

45 + 21 = g

Following the rules of PEMDAS, you would get rid of the parenthesis first by multiplying 7 times 3. Now you just have to add and you will have your answer for g.

g = 66

Write down an example of an equation that has:
a. One solution
b. Two solutions
c. An infinite number of solutions
d. No solutions

Answers

Well one could be like B•A=C•X what is the value of X

Answer:

a. 2x+3=7

b. x^2=9

c. x=x

d. x+4=x+3

Step-by-step explanation:

A) can be proved correct by x=2 as 2(2)=4+4=7

B)x^2=9 can be proven correct by either (3,3) or (-3,-3) as 3*3 is 9 and -3*-3=9 as well because two negatives equal a postive

C) x=x is the simplest equation w/ infinite solutions-you could have 2=2 or 4=4

D) There is no answer that can make this equation correct

give the numerical coefficient of the term x
the numerical coefficient is?​

Answers

Answer:

1

Step-by-step explanation:

The numerical coefficient of every variable with no visible coefficient in front of it is always 1, since 1 multiplied by a number (or variable) is itself.

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