LaTanya leaves her house at 12:30 P.M. and bikes at /12 miles per h to Marta’s house. She stays at Marta’s house for 90 min. Both girls walk back to LaTanya’s house along the same route at ./.2.5 miles per h They arrive at LaTanya’s house at 3:30 P.M. How far is Marta’s house from LaTanya’s house?

Answers

Answer 1
The answer should be 3.1 miles
Answer 2

Marta's house is 3.10 miles from Latanya's house

What is speed?

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.

Given that Latanya leaves her house at 12:30 p.M. She bikes at 12 mi/hr to Marta's house She stays at Marta's house for 90 minutes Both girls walk back to Latanya's house at 2.5 mi/h They arrive at Latanya's house at 3:30 p.M.

We need to know how far is Marta's house from Latanya's house

∵ Latanya starts her trip at 12:30 p.M.

∵ She returns home at 3:30 p.M.

∴ The time of her trip is  → 3:30 - 12:30 = 3 hours

- But she stays at Marta's house for 90 minutes

∵ 1 hour = 60 minutes

∴ 90 minutes = 90 ÷ 60 = 1.5 hours

∴ The time from her house to Marta's house and from Marta's house to her house is → 3 - 1.5 = 1.5 hours

Assume that the distance from her house to Marta's house is d and the time from her house to Marta's house is t₁ and the time from Marta's house to her house is t₂

∵ Latanya bikes at 12 mi/h to Marta's house

∵ Distance = speed × time

∴ d = 12 × t₁

∵ Both girls walk back to Latanya's house at 2.5 mi/h

∴ d = 2.5 × t₂

Equate the two expressions of d

∴ 12  = 2.5  ⇒ (1)

∵ t₁ + t₂ = 1.5

Subtract  from both sides

∴ t₂ = 1.5 - t₁  ⇒ (2)

Substitute equation (2) in equation (1)

∴ 12t₁  = 2.5(1.5 - t₂ )

∴ 12  = 3.75 - 2.5

Add 2.5 t₁ to both sides

∴ 14.5t₁  = 3.75

Divide both sides by 14.5

t₁ = 15 / 38 hour

∴ She spends 15/58 hours biking Marta's house. Let's find d

∵ d = 12t₁

∴ d =  12 x ( 15 / 38 ) miles

Therefore, Marta's house is 3.10 miles from Latanya's house

To know more about Speed follow

https://brainly.com/question/6504879

#SPJ2


Related Questions

you get brainlest if this is right

its tricky if you dont play this game
how do you get unlimited vc on nba2k21
A. soon as the vc comes up on my career close the app and keep on doing that
B Use 7'6 yao ming against 5,2 muggy bouses
C use stephen curry and a 60 overall and keep on shooting threes
D. play my league all day

Answers

Answer:

c

Step-by-step explanation:

i’m pretty sure the answer is c!

HELP! This model represents an every 2/3 hour, Harris can sew 1/6 pair of jeans.

What is Harris's rate in pairs of jeans per hour?
A. 1/9
B. 1/4
C. 9
D. 4

Answers

Answer:

I think that iit is D but I am not sure.

Step-by-step explanation:

Answer:

1/4 jeans per hour is the answer

The table shows below that 1 day equals to 24 hours. Notice that 12 hours is one-half of that. Use the table tor help determine how many days are equal to 54 hours.




(A) 1
1-------
2
Days
__________

(B) 2 Days
__________

(C) 1

2-------

4 Days
__________

(D) 1

2--------
2
Days

Answers

Answer:

Step-by-step explanation:so my answer to the question how many days are equal to 54 hours that would 2.25 days if that is not what your asking for let me know and i will try again srry if it didn't work i just wanted to try to help you out cause i love to help ppl.

Answer:

2 and a quarter

Step-by-step explanation:

I think might be wrong

i need some help! please help me if you know the answers! will give brainliest!
===
Q1: Javier has been saving for a digital camera. He finds one on sale for $67.50. It usually costs $90.00. What is the percent of discount?
A. 20%
B. 25%
C. 30%
D. 35%
===
Q2: Eric’s dad asks him to figure out the tax on the meal his family just finished eating at their favorite restaurant. The total bill for the meal is $57.60. The tax is 7.5%. What is the tax amount for this meal?
A. $3.37
B. $4.32
C. $5.76
D. $7.50
===
Q3: If Sean’s dad paid $41.40 on a meal that cost $36, what percent tip did he pay?
A. 12%
B. 15%
C. 18%
D. 20%
===
Q4: A video game usually costs $49.95, but it’s on sale for 20% off. What is the discount amount? What is the sale price for this item?
A. discount: $4.99, sale price: $44.96
B. discount: $9.95, sale price: $40.00
C. discount: $9.99, sale price: $39.96
D. discount: $20.00, sale price: $29.95
===
Q5: Brad works at a grocery store after school. Because he’s a part-time employee, his family receives a 5% discount on all items purchased at the store. Brad’s father recently bought a total of $84.96 worth of groceries. After deducting the amount of the discount, how much did Brad’s father actually pay for these items?
A. $42.48
B. $76.96
C. $79.96
D. $80.71
===
Q6:Chris needs a graphing calculator for math class. He finds a $60 model on sale for 15% off. If he decides to buy this calculator, how much will the sale price be?
A. $9
B. $12
C. $51
D. $69
===
Q7: A package of blank CDs usually costs $8.50. This week it's on sale for 15% off. What's the discount?
A. $.15
B. $.85
C. $1.28
D. $1.34
===
Q8: Serena’s father tipped a taxi driver $5 for a $25 ride. What was the percent of the tip that he paid?
A. 10%
B. 12.5%
C. 15%
D. 20%
===
Q9: Marta went to the local discount store to stock up on school supplies. She bought four spiral notebooks at $1.50 each, a package of pens for $3.95, three felt tip markers at $.99 each, and a three-ring binder for $5.00. The sales tax is 6.5%. What was the total price Marta paid at the checkout counter?
A. $1.16
B. $10.16
C. $17.92
D. $19.08
===
Q10: CDs are on sale at the local music store for $12.80 each. They normally sell for $16.00 each. Ann buys three CDs for a total of $38.40. What percent discount did she receive?
A. 18%
B. 20%
C. 22%
D. 25%
========

Answers

C because you have to round and it would be C
What he said lol XD

20% of 60 is ______
Explain your method.

Answers

Answer:

12

Step-by-step explanation:

multiply 60 by 0.2

Answer:

12

Step-by-step explanation:

You need to multiply the result by 100 to get the percentage. So 20% of 60 is 12.

Javier walks from his house to the zoo at a constant rate. After walking 0.75 mile, he meets his brother, Raul, and they continue walking at the same constant rate. When they arrive at the zoo, Javier has walked for 0.5 hour and Raul has walked for 0.2 hour. Which equation can be used to find r, the rate in miles per hour at which the brothers walked to the zoo?

A 0.2r = 0.5r

B 0.2r + 0.75 = 0.5r

C 0.5r + 0.75 = 0.2r

D 0.75r = 0.5r + 0.2r

Answers

Answer:

B

Step-by-step explanation:

I need help on this before I have a mental breakdown breakdown (ez 20 points if answered)

Answers

Answer:

Step-by-step explanation:

1. Exponent

2. Right, Larger/Bigger

3. Left , Smaller

Not totally sure about the bigger/smaller answer but that's what will happen when you move the decimal.

• exponent
•right
•left (positive)

points for people
594083494 x 659848458

Answers

Answer:

3.9200508e+17

Step-by-step explanation:

Solve for x: -6 (1 - 5x) = 324 PLEASE SHOW ALL YOUR WORK! Thank you!

Answers

Answer:

11

Step-by-step explanation:

-6(1-5x)=324 divide both sides by -6

1-5=-54 move constant to the right-hand side and change its sign

-5x=-54-1 calculate the difference

-5x=-55 divide both sides of the equation by -5

x=11

The correct answer is 11 I think
:)

PLEASE HELP!! 12 POINTS!!
2. (2, 0) and (0, 3)

The equation for these ordered pairs is y = 3/2x + 3

A. True
B. False

Answers

B. False

It should be -3/2x+3
The equation is false

A shirt is discounted by 20%. The discounted prices is $32. What was the original price of the shirt
a. $6.40
b. $8.00
c. $25.60
d. $40.00

Answers

Answer:

d

Step-by-step explanation:

Answer: D - $40.00

———————————

Only insects have a life cycle.

true

false

Answers

True(I think I hope I’m correct)
False , hope this helps

What is the value of x, if the perimeter of the rectangle is 10?

This is the problem :

Answers

Answer:

i think is 20 0r 22

Step-by-step explanation:

Someone please help with this.

Answers

Answer:

C

Step-by-step explanation:

you move left its positive and right is negative

D doesn't have enough 0's B you move left and A just doesn't make since

so D is the answer  

7 (4 - x) ≤ − 4 (−7x − 7)

value of x plz solve

Answers

the answer is of this is x>0
answer: x= x > that sign with the line on the bottom (i don’t have it since i’m using a phone) and 0 so don’t forgot the sign has to have a line on the bottom x > 0 DONT FORGET THE LINE

The temperature at a mountain base camp was −5 degrees Celsius on Wednesday. Thursday morning, the temperature was 2 degrees Celsius lower than what it was on Wednesday. By Thursday evening, the temperature was 1 degree Celsius lower than what it was that morning. What was the temperature at the base camp Thursday evening?
−9 degrees Celsius
−8 degrees Celsius
−7 degrees Celsius
−6 degrees Celsius

Answers

it was -8 degrees celsius on thursday evening
It would be -8 degrees

The first side of a triangle is 7 cm shorter than twice the second side. The third side is 4 cm longer than the first side. The perimeter is 90 cm. Find the length of all three sides.

Please answer! Im giving half of all my points!!

Answers

Answer:

first side = 33

second side = 20

third side = 37

Step-by-step explanation:

first side = 2x-7

second side = x

third side = (2x-7)+4

(2x - 7) + x + (2x - 7) + 4 = 90

5x - 14 + 4 = 90

5x - 10 = 90

     +10  +10

5x = 100

x = 20

first side:

2(20)-7

40 - 7 = 33

second side: 20

third side:

(2(20) - 7) + 4

(40 - 7) + 4

33 + 4 = 37

A community group is picking up trash along a portion of the highway that is 1.48 miles long. In one hour they can clean a section about 1/8 mile long. Approximately how many hours will it take the group to clean the stretch of highway?
Please help ASAP
The answers are
3/16
16/3
2
12

Answers

Answer:

12 if im correct

Step-by-step explanation:

first we have to see that they are doing 1/8 of a mile per hour so if we divide 1.48 by 1/8 it should give us the time

first we convert 1/8 to a decimal which is .125 and we divide 1.48 by .125

giving us 11.84

since it is time, 11 hrs would be too little of a time so we need to round up to 12

Hope thats right

The number of hours for the group to clean the stretch of highway is A = 12 hours

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists  mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.

Given data ,

Let the number of hours be represented as A

Now , the value of A is

If the group can clean 1/8 mile of the highway in one hour, we can calculate how many sections of 1/8 mile are in 1.48 miles:

1.48 miles / (1/8 mile per section) = 11.84 sections

On simplifying the equation , we get

This means that the group will need to clean 11.84 sections of 1/8 mile each to clean the entire stretch of highway.

Since they can clean 1 section in 1 hour, it will take them 11.84 hours to clean the entire stretch of highway ≈ 12 hours

Hence , the number of hours to clean the highway is 12 hours

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Can you please help?

Answers

Answer:

I THINK THIS IS RIGHT BUT I'M NOT SURE

3= x divided by 4

5= 3+x

7= x divided by 3

9= 9 times x

11= 4 plus 1/2

13= I DONT KNOW

15= (x times 5)+3

17=(4 times x)+4

19=(x+2)8

Step-by-step explanation:

1) x+5
3) n/4 (n divide by 4)
5) 3+n
7) n/3 (n divided by 3)
9) 9n
11) 4+1/2n
13) 1/2n-10
15) 3+5n
17) 4+3n
19) 8(n+2)

Hope this helps!

Dominic works on the weekends and on vacations from school mowing lawns in his neighborhood. For every one lawn he mows, he charges $6. Complete the table. Then write the ordered pairs and create a labeled graph.
1. Write the ratio of lawns mowed to the money he charges. ___________________

2. Below, fill in the ratio table for up to five (5) lawns

3. Graph the ordered pair, create a number scale for the X and Y axis, label the X and Y

4. axis with a title, connect the points with a line, label the line with the equation.
Please explain your answer for every question, 1-4 and put the answers in order.
PLS HELP ME

Answers

Answer:#1. Is a 1:6 ratio

Step-by-step explanation:

You mow 1 lawn and get 6 dollars

Which of the following is a pair of similar triangles?

A) Image A (1st Image)
B) Image B (2nd Image)
C) Image C (3rd Image)
D) Image D (4th Image)

Answers

Image C for sure.

Sure, both triangles don't show all angles, But if you look at the first triangle in image C, it's just a more stretched out version of the second one. The angles are the same, just one triangle is slightly taller.

image C would be the one

Please help I will mark brainliest

Answers

9. $4.5 per can

.

.

.

.

.

.

.

.

.

.

.

Answer:

1.  4.5

2. 1.714285714

3. 14.28571429

4. 18.57142857

Explanation:

Divide 9/2 which you will get 4.5

Divide 12/7 which you get 1.714285714

Divide 100/7 which is 14.28571429

Divide 130/7 which is 18.57142857

help I need help on this one please

Answers

It would be true because 3.5x16 would be 56
56 is the answer have fun

Ruby weighs 88 lbs. Her weight is 12 lbs. less than half her mother's weight. How much does her mother weigh?

Answers

88 = m - 12

+ 12       + 12

100 = m

Answer:

Ruby's mother weighs 200 lbs.

Step-by-step explanation:

88 + 12 = 100

100 x 2 = 200

A college is selling tickets to an upcoming basketball game, and all tickets are the same price. If they sell 4,000 tickets, they will make a total of $237,200 in sales. 1.) What is the price of 1 ticket? 2.) How much money will they make if they sell 9,000 tickets?

Answers

Answer:

1.) $59.30

2.) $533,700

Step-by-step explanation:

Find Unit Price:

237,000/4000= 59.30

Multiply By Unit Price:

59.30x9,000= 533,700

Okay so first choose a variable to represent tickets, I’ll use t.
4000t=237200
Divide both sides by 4000 to get your unit price per ticket, which is 59.3.

So this means 1 ticket is $59.30.

To get 9000 tickets money, multiply this by your unit price, which gives $533,700.

Hope this helps

Sierra walks her dog Pepper twice a day. Her evening walk is two and a half times as far as her morning walk. At the end of the week, she tells her mom, “I walked Pepper for 30 miles this week!”

How long is her morning walk?



Group of answer choices

3.2 miles

12 miles

1.2 miles

5.5 miles

Answers

w=30/24.5≈1.2.

Therefore, Sierra's morning walk is about 1.2 miles.
it is approximately 1.2 miles

I need help on this one

Answers

Answer:

The answer is D 2.25 days.

Step-by-step explanation:

Divide 54 by 24 and you'll get 2.25 which is equal to D.

Jamie says the value of the expression 1.34 times (-19/37) is close to -0.75 does this seem reasonable. explain

Answers

1,34 x( -19/37)=

1, 34 x (-0.5135) =-0,68809

+plus  -=  negativo

Step-by-step explanation:

this question doesn't really make sense redo it please I hope you if you redo it I know the answer but I just don't know how good solid do having saying

Ruby weighs 88 lbs. Her weight is 12 lbs. less than half her mother's weight. How much does her mother weigh?

Answers

Ruby’s mom weighs 100 lbs
Ruby’s mom weighs 100 pounds

what is 5 5/7 x 3 1/5
1. 2/7
2. 3 4/7
3. 15 1/7
4. 18 2/7

Answers

The answer is 18 2/7 and you are welcome have a great day
Other Questions
A ball is thrown straight upward with an initial velocity of 16m/s. What is its velocity at its highest point? simplify the expression 3(5x-3)-2x+4 The prices of different items at a foodmarket are shown in the table above.Ryan wants to buy 0.75 pounds of tunasalad and 0.5 pounds of chicken salad.How much does he spend to the nearestcent? What is the solution to the equation? 13+x=74x=-6 1/4x=-6 1/4x =20x=21 I need help with history now sorry guys -4 1/2-(-2 2/3) worked out pls help if someone dosen`t answer i might fail pls The solution set for -18 x3 > x write a letter to the minister of works in your country complaining about the deplorable conditions of roads in your area and it's effects on the lives of your people As a farmer, Felipe keeps a close eye on the weather. After a few stressful weeks with no rain, Felipe was relieved when it started raining one morning. It rained steadily all day, and Felipe periodically checked to see how much rain had fallen. There is a proportional relationship between the amount of time (in hours) it had been raining, x, and the amount of rain (in inches) that had fallen, y. The equation that models this relationship is y=0.25x. At this rate, how long did it take until 2 inches of rain have fallen? Write your answer as a whole number or decimal. Use the formula C = 5 (F 32). To determine which temperature is hotter.30 Celsius or 85 Fahrenheit. Write just the number as your answer. My CoursCourse HDecide if the events A and B are mutually exclusive or not mutually exclusive. A person is selected at random.A: Their birthday is in the fall.B: Their birthday is in October.Homewo If f(x) = - 2x + 3 then f(3) - f(4) = 7th grade math help me pleasee You find 1/6 of a case ofbatteries. You to divide thisequally between 6 people. Howmuch of a case does each personreceive? Select the correct answer.What is the justification for step 2 in the solution process?12y 40 4y = 6y 18Step 1: 8y 40 = 6y 18Step 2: 2y 40 = -18A. the subtraction property of equalityB. the division property of equalityC. the addition property of equalityD. the multiplication property of equality Question 51 ptsWhich of the following numbers might this code generate: random.randint(1,9) ?1110OOD Delta waves occur duringSelect one:O a. awake relaxation.O b. Stage 1 sleep.O c. Stages sleep.O d. wakefulness. PLEASE HELP!!The scientific method is a process that scientists use to investigate something in the natural world. Which of these best describes the difference between a scientist collecting data and analyzing data?A -When a scientist collects data the hypothesis is compared to the data. When a scientist analyzes data, data are analyzed, scientists predict future experiments. B - When a scientist collects data, the scientist develops new ideas for experiments. When a scientist analyzes the data, he or she looks at what could be improved in the investigation.C - When a scientist collects data, the data include the observations made during the experiment. When a scientist analyzes the data, the scientist communicates his observations to other scientists.D - When a scientist collects data, he or she record the data from an experiment. When a scientist analyzes the data, he or she decides whether or not the data support the hypothesis. Describe Free Enterprise in your own words! Name three individuals excluding the defendant who are allowed toquestion prospective jurors during the voir dire process?