Mathematics High School

Juan jogs each day from his house to a local park, and then he jogs back along the same route. On his way to the park, he averages 4 miles per hour. On his way home, he averages 6 miles per hour. If the total trip takes 1 and one-half hours, which equation can be used to find x, the distance in miles from Juan’s house to the park? Distance (mi) Rate (mi/hr) Time (hr) Trip to Park x 4 mph Trip to Home x 6 mph StartFraction x Over 4 EndFraction + StartFraction x Over 6 EndFraction = 1 StartFraction x Over 4 EndFraction + StartFraction x Over 6 EndFraction = 1 and one-half 4 x + 6 x = 1 and one-half 4 x + 6 x = 1

Answers

Answer 1

Answer:

The distance traveled equals the speed v multiplied by the time t

Since the speed varies, and we only know the total time, we must rewrite this as:

If we separate this in the two 'directions', it should add up to one and a half:

That would lead me to answer b

Step-by-step explanation:

have a nice day :)

Answer 2

Answer:

B. x/4+x/6=1,1/2

Related Questions

A truck delivers 478 dozen eggs to stores in one day. Write and solve an equation to find n, the number of eggs the truck delivers in one day

Answers

478 x ? = N
478 x 12 = 5,736 eggs in one day

Find the surface area of the two following figures. Show all your work.

Answers

Answer:

First shape: 366 in^2

Second shape: 376 in^2

Pretty sure these are correct, hope this helps!

During a winter storm, a ski resort received 9 inches of snow in 12 hours. The snow fell at a steady rate. How many inches of snow fell at each hour.

Answers

Answer:

0.75 inches of snow

Step-by-step explanation:

During a winter storm, a ski resort received 9 inches of snow in 12 hours. The snow fell at a steady rate. How many inches of snow fell at each hour.

12 hours = 9 inches of snow

1 hour = x

Cross Multiply

12 hours × x = 1 hour × 9 inches

x = 9/12

x = 0.75 inches

Therefore, 0.75 inches of snow fell at each hour.

Need help ASAP! Anyone know?

Answers

Answer: x= 29°

Step-by-step explanation: Add angles D and C. Subtract from 180.

58/2 = 29

is 85 a composite number and why

Answers

Answer It is composite number

Step-by-step explanation:

A composite number is a number that can be divided evenly by more numbers than 1 and itself. ... Since 85 cannot be divided by just 1 and 85, it is a composite number.

Hey there! :)

85 is composite.

All numbers that have more than 3 factors are composite numbers because they are 'composed' of some smaller numbers.

Hope this helps!

~Just a felicitous gal

#CarryOnLearning

Answered by

[tex]-SilentNature-[/tex]

What is the equation of the line that is perpendicular to the line y = 6 and passes through the point (-4,-3)?
O x = -4
0 x = -3
Ox=-1/6
0 x = 6

Answers

To Find :

The equation of the line that is perpendicular to the line y = 6 and passes through the point (-4,-3)

Solution :

Let, equation of line perpendicular to given line is y = m ....1)

Here, m is a constant.

Putting y = -3 in above equation, we get :

-3 = m

Putting value of m in equation 1), we get :

y = -3

Therefore, correct option is b) x = -3.

what is 84×3(45+2×4÷6)90

Answers

Answer:

1050840

Step-by-step explanation:

PEMDAS

multiply 2 and 4 and then divide by 6: 1.3 and then add 45: 46.3

then multiply 46.3 and 90: 4167. Then multiply 84 and 3: 252. Then multiply 4167 and 252: 1050840

Nathan walked 10/10 of a mile and sarah walked 19/20 of a mile.who walked a greater distance?

Answers

nathan walked a greater distance, when you compare the fractions with a common denominator, Sarah only walks 9/10 of a mile.

Answer:

Nathan

Step-by-step explanation:

Bobbie and Adam each own 35% of partnership BAB. On October 15, 2018, Bobbie sells her interest to Bob, who is a 30% partner. On October 16, 2019, Adam sells his interest to Bob. When does the partnership terminate?

Answers

Answer:

Step-by-step explanation:

Such partnerships only terminate when one of the partners sells his entire share which makes him no longer a partner in the company, but there may still be another partnership in the company. The other way all partnerships in the company terminate is when a single party/partner gains control of the entire companies' shares meaning they are 100% owner of the company and no other individual has any controlling interest in the company.

78 students are separated into groups of 8 for a field trip.how many groups are there.the remaining students form a smaller group of how many students

Answers

Answer:

9 groups with 6 extra students

Step-by-step explanation:

78/8= 9 .75

we take the whole number =9

8*9=72

78-72=6

6 extra students

CAN SOMEONE HELP WITH THIS HELP ME PUT IT IN ORDER

Answers

Answer:

A then B then C (smallest)

Step-by-step explanation:

Bigger side bigger angle across from it

Different nerve signals travel at different speeds. Pressure and touch signals travel about 250 feet per second. Dull pain signals travel about 2 feet per second. How long does it take you to feel an ant crawling on your foot? Write your answer in a sentence using context. How much longer does it take to feel a dull ache in your foot? Write your answer in a sentence using context.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Pressure and touch signal speed = 250 feets per Second

Dull pain signal speed = 2 feets per second

Ant crawling on foot

A crawling ant on one's feet can be attributed to a touch signal, hence it will take ;

Time = Distance / speed

(Distance moved by crawling ant / 250)

(Dull ache in foot) = 250 / 2 = 125

It takes 125 times longer to feel a dull ache in foot.

If 12 > -15, which of the following must be true?

12 is to the left of -15 on a number line.
-15 is to the right of 0 on a number line.
12 is to the right of -15 on a number line.
12 is to the left of 0 on a number line.

Answers

Answer:

12 is to the right of -15 on a number line.

Step-by-step explanation:

Hope this helps! - CJ

Bro can somebody plz just help me answer this question!

Answers

Answer: I think it's 17 but I'm not 100%

Step-by-step explanation:

On May 17, 1954, the United State Supreme Court decided a case that changed the course of American history. On this day in 1954, in the case of Brown v. Board of Education, the Supreme Court ruled that racial segregation of schools was unconstitutional.

Answers

Answer:

16x - 7

General Formulas and Concepts:

Algebra I

Combining like terms

Step-by-step explanation:

Step 1: Define expression

4x - 7 + 12x

Step 2: Simplify

Combine like terms (x): 16x - 7

And we have our final answer!

Three friends bought 4, 6, and 8 books.

This table shows the cost of the books.
Number of Books 4 6 8
Cost ($) 30 45 60

What is the constant of proportionality?

A. 2
B. 7.5
C. 15
D. 30

Answers

Answer:

B:7.5

Step-by-step explanation:

since 4 goes with 30, 6 goes with 45, and 8 goes with 60, you can see that 60-45 is 15 and 45-30 is 15 as well so the constant is 15, but the number of books is going up by two so the constant there is 2. So divide 15 by 2 and the answer would be C: 7.5.

Answer:

B. 7.5

Step-by-step explanation:

I just took the test on k-12 and it was correct.

Savannah is working two summer jobs, making $12 per hour babysitting and $7 per hour washing cars. Savannah must earn a minimum of $55 this week. Write an inequality that would represent the possible values for the number of hours babysitting, b, and the number of hours washing cars, w, that Savannah can work in a given week.

Answers

Answer: 12b+7w=$55

Step-by-step explanation:

can someone help me

Answers

i think it’s 23

132 + 2 = 134
180 - 134 = 46/2=23

Answer:

it's 342

Step-by-step explanation:

you have to use the solve the sum and add long numbers using the addition

Please help me ): it's not that hard

Answers

Answer:

5<14

Step-by-step explanation:

Solve for x: 8 ≥ 5 - 12x

Answers

Subtract
5
5 from both sides.
8
−
5
≥
−
1
2
x
8−5≥−12x

2 Simplify
8
−
5
8−5 to
3
3.
3
≥
−
1
2
x
3≥−12x

3 Divide both sides by
−
1
2
−12.
−
3
1
2
≤
x
−
12

3
≤x

4 Simplify
3
1
2
12

3
to
1
4
4

1
.
−
1
4
≤
x
−
4

1
≤x

5 Switch sides.
x
≥
−
1
4
x≥−
4

1

Done
Decimal Form: -0.25

Parallelogram PQRS is shown.measure of angle s=(3x),measure of angle R=120, and measure of angle Q=(2y) find the value of X

Answers

Parallelograms have adjacent angles supplementary (sum to 180).

For pair r and s,

3x+120=180, => x=(180-120)/3=20 °

Similarly, for pair q and r,

2y+120=180 => y=(180-120)/2 = 30 °

slope intercept form.Please help!!!!

Answers

Answer:

sfsfsfsfsfsfsfsfsfsfsfssfsfsfasfsfsfsfsfsf

Step-by-step explanation:

The correct answer is y=-3x+4

A circle has circumference 200 pi feet.
What is the radius of the circle?

Answers

Answer: The diameter is two times the radius, so the equation for the circumference of a circle using the radius is two times pi times the radius. If you are given the circumference but not the radius or the diameter, you can still solve for one or the other using these formulas.

Step-by-step explanation:

The radius of the circle which has a circumference of the cirlce of 200π will be 100 feet.

What is the circumference of a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. The circumference of the circle will be

C = 2πr units

The circumference of the circle is given as 200π feet. Then the radius of the circle is given as,

200π = 2πr

Simplify the equation, then the value of the variable 'r' will be given as,

200π = 2πr

r = 100 feet

The radius of the circle which has a circumference of the cirlce of 200π will be 100 feet.

More about the circumference of a circle link is given below.

https://brainly.com/question/27177006

#SPJ5

What is the next fraction in the sequence? 1/3, -2/9, 4/27, -8/81

Answers

Answer:16/243

Step-by-step explanation: multiply the numerator by -2 and multiply the denominator by 3.

BRAINLIEST 5 stars and Thanks <3 Fast and CORRECT answers!!!!

Answers

Answer:

x(x-8)(x+8) is final factored form.

Step-by-step explanation:

brainliest if i am right? uwu

Practice elimination by solving the following systems᠎᠎
-7x-8y=9
-4x+9y=-22

Answers

Answer:

multiply the first equation by 4

and second by 7 then just subtract second from first

PLEASE HELP ME!!!!!!

Answers

Answer:multiply 470 by 3

Step-by-step explanation:

Since the rate has been solved and it is 470 you multiply 470 by 3 to find out how far it traveled in 3 hours.

Answer:

3rd choice

Step-by-step explanation:

HELP! What is the solution to the following system of equations?

Answers

Answer:

it is 2,4

Step-by-step explanation:

The point that they meet is 2,4 . It means X+ is 2 and Y+ is 4 .

You can write a as their meet point . you should answer like this a(2,4) .

A'Reana earns a weekly allowance for doing chores around the house and for keeping all of her grades above a C. During a particular week, she gave $10 to her friend Taylor, spent half of the remaining money on a new shirt, and then spent $7.50 on a pizza. At this point, she had $37.50. How much is A'Reana's weekly allowance?

Answers

Given :

During a particular week, she gave $10 to her friend Taylor, spent half of the remaining money on a new shirt, and then spent $7.50 on a pizza. At this point, she had $37.50.

To Find :

How much is Reana's weekly allowance.

Solution :

Let, allowance is x.

Then by given conditions :

37.50 = x - ( 10 + x/2 + 7.50 )

37.50 = x/2 - 17.50

x/2 = 55

x = $110

Therefore, Reana's weekly allowance is $110.

Hence, this is the required solution.

A tennis racket costs $100 and is 30% off right now at
Sports Academy. The sales tax is 5.5%. What is the final
cost of the tennis racket?
Help :)

Answers

Answer:

73.85

Step-by-step explanation:

30% off of 100 is 30$

100-30=70

5.5% of 70 is 3.85

70+3.85=73.85

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