Trey drove to the mountains last weekend. There was heavy traffic on the way there, and the trip 8 took hours. When Trey drove home, there was no traffic and the trip only took 6 hours. If his average rate was 16 miles per hour faster on the trip home, how far away does Trey live from the mountains?

Answers

Answer 1

Answer:

Trey lives 384 feet.

Step-by-step explanation:

Let the average rate be represented by s, and the distance by d.

speed = [tex]\frac{distance}{time}[/tex]

⇒ distance = speed x time

i.e d = s x t

On his first trip,

d = s x 8

d = 8s ............ 1

on his trip home, the average rate was 16 miles per hour faster, so that;

d = (s + 16) x 6

d = 6s + 96 ............ 2

Equation 1 and 2, we have;

8s = 6s + 96

8s - 6s = 96

2s = 96

s = 48

The average rate is 48 miles per hour.

Thus from equation 1 (also equation 2 can be used),

d = 48 x 8

  = 384

Therefore, Trey lives 384 feet from the mountains.


Related Questions

9. APQR = MNR. Find x.
35
10
R
M
P.
350
N

Answers

Answer:

Sorry but i don't understand the question :(

Pls help will give brainilist

Answers

Since the formula is bh/2 . Then 12•5=60 then 60/2=30 . Which is choice B

If a recipe calls for 12 oz. of chocolate chips for 2 batches, how many ounces of chocolate chips would you need for 1/2 a batch?

Answers

Answer:

3 oz.

Step-by-step explanation:

how many 1/2 are there in 2?

there are 4.

this means we divide 12 (oz. of choc chips) and 4

when we divide them, we get 3oz.

thats why you need 3oz. chocolate chips for 1/2 of a batch

hope this helps!

What is the probability of getting exactly 2 heads when flipping three fair coins?

Answers

Answer:

t0he answer to this question is 1/4

Step-by-step explanation:

This is called a binomial distribution, and the sizes of the events "got k heads out of n coin flips" are called binomial coefficients. Consider all the possible ways to get two heads, HHT,HTHandTHH. There are 2⋅2⋅2=8 possible combinations in total. Therefore, the answer is 3/8.

Malcolm's boss is mad at him because he puts 4 meatballs in every
sandwich instead of 2. How many extra meatballs does Malcolm put in each
sandwich?
A. Multiply 4 by 2
B. Add 4 to 2
C. Divide 4 by 2
D. Subtract 2 from 4

Answers

Answer:

D. Subtract 2 from 4

Step-by-step explanation:

A. Multiply 4 by 2 & you get your answer

I need help with Geometry

Answers

Answer:

no because thats an obtuse angle and there has to be an acute triangle to from a triangle so no

Step-by-step explanation:

Answer:

No, the values need to add to 360

Step-by-step explanation:

what is the answer to the question?​

Answers

Answer:

What is the sum of the exterior angles in a regular 15-gon?

The sum of the exterior angles in any convex polygon, including a regular 15-gon, is 360∘.

Step-by-step explanation:

thank me later

mark me as brainliest please

Answer:

5 exterior angles.

Step-by-step explanation: since they all have to add to 360 you can divide 360/5 = 72. You can also check by adding one interior angle plus 72 and checking if you get 180.

please help me I will fail if not answere ​

Answers

Answer: B. 24 ft

Step by step explanation: I know that the cabbage's percent is 15%, so then you have to take 15% of 160 and that is 24 :D

Hope this helps!

3x-y=7 in slope intercept form

Answers

Answer:

y = 3x - 7

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Standard Form:   3x - y = 7

Step 2: Rewrite

Find slope-intercept form

Subtract 3x on both sides:                    -y = 7 - 3xDivide -1 on both sides:                         y = 3x - 7

Answer:

y = 3x + 7

Step-by-step explanation:

subtract 3x from both sides

multiply both sides by (-1) to get positive numbers

Anna bought 6 bags of candy for a total of 19.68. Write an equation and solve to figure out how much each bag cost.

Answers

ummmmmmymumymtmjehrhhrhrhehherhrh

Answer:

The answer is $3.31.

Step-by-step explanation: Just divide 6 by 19.68

Jada traveled 135 miles in 3 hours. Andre traveled 228 miles in 6 hours. Both Jada and Andre traveled at a constant speed. A) How far did Jada travel in 1 hour?

Answers

Given:

Jada traveled 135 miles in 3 hours.

Andre traveled 228 miles in 6 hours. Both Jada and Andre traveled at a constant speed.

To find:

How far did Jada travel in 1 hour?

Solution:

We have,

Distance traveled by Jada in 3 hours = 135 miles

Then,

Distance traveled by Jada in 1 hour = [tex]\dfrac{135}{3}[/tex] miles

                                                           = 45 miles

Therefore, Jada travel 45 miles in 1 hour.

can someone assist me in this question right here?
Brian drew oblique segment AB on a coordinate grid and translated it 4 units left from A' B' which statements is true?

Answers

Answer:

b

Step-by-step explanation:

did it in class

Given the midsegments, solve for x

Answers

Answer: 19 squared

he Step-by-step explanation: Because you have to add them then just multiply. Dont listen to my answer-

Are 1/2 and 2/4 equivalent ratios?

Answers

Answer:

Yes

Step-by-step explanation:

They both equal 50%

Answer:

50%

Step-by-step explanation:

50%

Hope this will help you.

Please mark me as Brainllist

-pihu Roy.

Can you please help me

Answers

Answer:

Fourth choice, 19/30

Step-by-step explanation:

Add 38 and 22 together, it's 60

Out of 60 times, he flipped heads 38 times, so it's 38/60

Simplify 38/60 with 2, 19/30

Jimmy took out a loan for $5,600 to pay for a home repair the bank offered an interest rate of 4.75 % how much interest would she pay after three years???

Answers

Answer:

$698

Step-by-step explanation:

Given that :

Principal = $5600

Rate = 4.75%

Time = 3 years

Simple interest = principal * rate * time

Simple interest = $5600 * 0.0475 * 3

simple interest = $798

A batch has 15000 coloured bulbs. 3/5 of the batch are orange in colour & the rest are green . if 1/8 th of the green bulbs are not working , how many green bulbs are functional?

Answers

Answer:

5250 bulbs are functional green bulbs

Step-by-step explanation:

find out how much 1/5 of 15000 is

15000/5=3000

find out how many are orange

3/5=1/5+1/5+1/5         3000*3=9000

of the 15000 bulbs 9000 are orange the rest are green find the amount that is left over

15000-9000=6000 bulbs are green

find out what 1/8 of the green bulbs is

6000/8=750

1/8 or 750 green bulbs are not working

find out how many bulbs are functional

6000-750=5250 bulbs are functional green bulbs

what is the answer ​

Answers

Answer:

A

Step-by-step explanation:

Factor 10x2
+ 11x + 3

Answers

Answer:

e

Step-by-step explanation:

eeeeeeeeeeee1

x + y = -3
y= 2

Solve

Answers

Answer:

x=-5

Step-by-step explanation:

x+2=-3

x+2-2=-3-2

x=-5

im in algebra two so you can trust my answer. happy holidays and stay safe!

substitute 2 for y in x+y=-3
x+y=-3
x+2=-3
x+2+-2=-3+-2 (add -2 to both sides)
Answer:
x=-5

What 9x696566729748736363663636275756?

Answers

Answer: a big number

Step-by-step explanation:

why do you even need to know the answer?? lol

can someone pls help with this asap

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

both pair of opposite sides are parallelogram, which is the definition of a parallelogram

At his most recent medical checkup, a boy was 36 inches tall. Currently, he is 25% taller. How tall is the boy now?

Answers

25% of 36 = 9

36+9 = 45 inches

Hope this helps

PLEASE ANSWER!!!!!!!!!!! SIMPLE MATH PROBLEM PLEASE

Answers

Answer:

False

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality PropertiesSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 3x - 3

y = -4x + 4

Step 2: Solve for x

Substitution

Substitute in y:                    3x - 3 = -4x + 4Isolate x terms:                    7x - 3 = 4Isolate x term:                     7x = 7Isolate x:                              x = 1

Here we see that our x-value would equal 1.

∴ (-3, 0) is NOT a solution to the systems.

im too tired for this please help me.

Answers

Answer:

-3

-2

-6

-4

-5

-1

Step-by-step explanation:

Question
Sylvia has $14,000 dollars in her bank account. However, she recently lost her job and
is not making money. She has to pay $7,000 per month in bills and expenses. When
will her account reach zero? Fill in the table to find the solution.
x f(x) = 14,000 - 7,000x
0
14,000
1
2.
Sylvia will run out of money in
months.

Answers

Answer:

i think two months im not sure tho

Step-by-step explanation:

Determine the intercepts of the line.
y = 4x + 7
X-intercept:
y-intercept:

Answers

Answer:

Y intercept: (0,7)

X intercept: (-7/4, 0)

Step-by-step explanation:

Step-by-step explanation:

finding y intercept:(x=0)

y=4x +7

=4(0)+7

y=7

finding x intercept:(y=0)

y=4x+7

0=4x+7

-7=4x

x=-7÷4

Consider the system of inequalities.
3x + 2y < 8
-5x - 9y > -2
Select all ordered pairs that are solutions to the system of inequalities.
(-10, -3)
a)
b)
(-1, 5)
(0, 0)
d)
(1, -1)

Answers

Answer:

 b)

The point is (-1,5) and (0,0) also satisfies the given inequalities

The solution of the given inequalities

(x, y) = (4 , -2 )

Step-by-step explanation:

Step(i):-

Given system of equations are

3x + 2y < 8

-5x - 9y > -2

The solution of the given equations are

3x + 2y = 8   multiply '5'

-5x - 9y = -2 multiply '3'

       15 x + 10 y = 40  ...(i)

       -15x - 27 y = -6.....(ii)

Adding (i) and (ii) , we get

          - 17 y = 34

                y = -2

Substitute y = -2 in equation 3x + 2y =8

          3x - 4 =8

             3x = 12

               x =4

The solution of the given system of inequalities

(x, y) = (4 , -2 )

Step(ii):-

                   3x + 2y < 8

                  -5x - 9y > -2

The point is (-1,5)

                 -3 + 10 < 8

                    7 < 8

                5 - 45 > -2

                   -40 > -2

The point (0,0) also satisfies the given inequalities

Final answer :-

The point is (-1,5) and (0,0) also satisfies the given inequalities

the cost for a bakery to make a dozen muffins is 2.52. the sale price of an individual muffin is 2.99. for one day, the bakery will donate 1/2 of the profits from muffin sales to charity. what is the bakeries donation, in dollars, if 88 muffins are sold that day

Answers

Answer:

I'm pretty sure it would be $131.56

Step-by-step explanation:

I think it will be $131.56 because if you take an multiply the 2.99 times  88 the number of muffins that were sold that day, then you would get $263.12. If you donated 1/2 of the profits made, then you would take 263.12 and divide it by 2 because half of it would be divided by 2. So therefore you would get $131.56! Hope this helps!

Correct me if I'm wrong!

Evaluate -8 x |2|.
A.-16
B.-10
C.16
D.10

Answers

Step-by-step explanation:

|| represents the absolute value function:

|x| = x when x >= 0,

|x| = -x when x < 0.

Therefore (-8) * |2| = (-8) * 2 = -16. (A)

Answer:

Step-by-step explanation:

In step 1: mode will be solved so |2| will be absolute positive value of 2  which is 2

Step 2: multiply by -8  which is -16

So Answer is (A) -16

Other Questions
what Should be added To -6(-p-1) to get 3p+5p+6p-2? PLEASE HELP ITS TIMED ABC Corporation is one of the largest energy companies in the UnitedStates, with over $50 million in publicly traded shares. The corporation's unusual accounting practices have disguised the fact that the company has accumulated significant losses over the past five years, making it appear far more profitable than it is. The CEO of ABC Corporation has decided to continue misleading investors by hiding its mounting debt in order to support the company's current market valuation.How would a deontologist evaluate this decision?a. ABC Corporation is acting unethically because it has certain rights as a corporation, and therefore has a corresponding duty to consider the public good.b. ABC Corporation is acting unethically because the results of its dishonesty are likely to be negative for its employees, for its shareholders, and for society as a whole.c. ABC Corporation is acting unethically because it sees the investors' interests as unequal to the interests of the CEO and the corporation.d. ABC Corporation is acting unethically because it is not striving for truthfulness or high-mindedness.Select the example where the court has established personal jurisdiction over the defendant.a. Frank, an accountant, is suing a client for unpaid bills. The client is located in Mississippi, and Frank lives and works in Virginia. Frank initiates his lawsuit in his home state, because he knows many of the state judges.b. Miguel is being sued by an acquaintance of his over unpaid debts. Both Miguel and the plaintiff are residents of Colorado. Miguel has not been personally visited by a process server with a summons to appear in court, but he did receive one in the mail at his home.c. Drew is being sued by a man who claims that Drew committed slander by speaking ill of him. Drew lives in Oregon, but the man is from Texas. Drew has received a summons ordering him to appear in court in Texas to respond to the complaint.d. Aisha, a resident of New York, is visited by a process officer at her workplace in New York City and delivered a summons to appear in court in Maryland. The lawsuit against her relates to property damage that occurred in a home she rented in New Jersey, which is owned by a woman from Maryland. what is equilibriumPlease answer And if help needed I am here to help anyone Please look at picture Which factors affect heat transfer between a warm and a cool substance?O the time it took to heat the substance, the area of contact, and the specitic heats of the substancesO the amount of time of contact, the area of contact, and the specific heats of the substancesO the time it took to heat the substance, the area of the substances, and the specific heats of the substancesO the amount of time of contact, the area of the substances, and the specitic heats of the substances Please help. please Caribou Coffee Company, a company known for their coffee products, recently introduced new granola bars called Caribou Granola Bars. For Caribou Coffee Company, their granola bars are: In the sentence above, the author develops the metaphor of mangroves as "artists of the beautiful" (lines 1-2) by describing their mastery at Plz help!What must change in order to change the amount of power? Factor: 4y(3x+2)2(3x+2) A client pays for a moving company to move 25 boxes. If the moving company charges $12.50 per box and a base fee of $199.95 to each client, what is the total amount the client pays? how would our lives be different if we didnt have the technology based on the other parts of the EM Spectrum Let x = 4. Evaluate the expression.x3 Which of the following has made communication within teams more dificult in recent years?O advancements in technologyO an increasingly global societyO a cuture of disrespectO declining professionalism Shareholders are selfless benefactors who are interested only in the growth of the business.TrueFalse Over time the Mexican-Free Tailed bat has evolved to be able to echolocate in the dark to find prey. Bats are able to see, but do not have very good visionand rely on echolocationThe bats have developed the skill of echolocation in response to a lack of which of the following abiotic factors?O oxygenO waterO plantsOlightPls Help Ill give brainly A piece of land is 8 1/2 miles wide. It is 4 7/8 times as long as it is wide. How long is the piece of land. MAP TESTING HELP Find the amount of simple interest that $400 would earn at 8% per year by the endof 3 1/2 years.A. $96B. $11, 200C. $3200D. $112O E. $32 The art club has 12 members. Each member is required to buy a t-shirt that costs $12.50. On the 3rd day of the month, 9 members paid for their shirts. The remaining members paid for their shirts on the 4th day of the month. How much money was collected on the 4th day of the month? Steam Workshop Downloader