Minato drove 390 miles. Part of the drive was along local roads, where his average speed was 20 mph, and the rest was along a highway, where his average speed was 60 mph. The drive took 8 hours. What distance, in miles did Minato drive along local roads?

Answers

Answer 1

Answer:

45 miles.

Step-by-step explanation:

Given that the:

Total distance covered = 390 miles

Total time = 8 hours

Let the distance covered along the local way = L

And the distance covered along the highway = H

Along with local way,

Speed = distance/ time

20 = L / T

T = L /20 .... (1)

Along the highway,

Distance covered H = 390 - L

Let the time = t

Speed = distance/time

60 = (390 - L)/t

t = ( 390 - L)/60

But total time = T + t

That is

8 = L/20 + (390 - L)/60

The LCM at right hand side will be 60

8 = ( 3L + 390 - L )/60

Cross multiply

480 = 2L + 390

Collect the like terms

2L = 480 - 390

2L = 90

L = 90/2

L = 45 miles.

Therefore, the distance Minato drive along local roads is 45 miles


Related Questions

what is ml if the volume is 48cm cubic​

Answers

Answer:

48 ml

Step-by-step explanation:

1 cubic centimeter is equal to 1 milliliter

Answer:

48ml

Step-by-step explanation:

1 cm³ = 1 ml

so,

48 cm³ = 48 ml

The topic is critical path 12th grade and the subject is math of industry and government. Pls help and list the paths too ‼️‼️

Answers

Answer:

  see below

Step-by-step explanation:

The difference between start and end times is the duration in each case.

The earliest start time is the latest of the earliest finish times of all predecessor tasks. These are computed working left to right.

The latest finish time is the earliest of the latest start times of all successor tasks. These are computed working right to left.

Where earliest and latest times are the same, the task is on the critical path. (It has no slack time.)

The above computations have been built into the attached spreadsheet. Here, predecessors and successors are handled manually. In appropriate scheduling software, they would be handled automatically by the specification of the task relationships.

What is the algebraic notation of a figure is Translated 6 units left and 5 units up?

Group of answer choices

(x, y) --> (x + 5, y - 6)

(x, y) --> (6x, 5y)

(x, y) --> (x + 6, y + 5)

(x, y) --> (x - 6, y + 5)

Answers

The last answer choice is correct

The function f(x) = 2.5x + 75 is used to model the cost
of renting billboard space depending on the area, in
square feet, of the billboard, x, and including a standard
layout fee. The mathematical range for the function is
the set of real numbers
Which statement describes how the reasonable range
differs from the mathematical range?
a. The reasonable range contains only integers.
b. The reasonable range contains only positive rational
numbers
c. The reasonable range contains only integers greater
than 75
d. The reasonable range contains only positive rational
numbers greater than 75

Answers

More likely answer is D. I hope you pass

A sampling frame a. is a list of population elements from which the sample will be drawn. b. is the list of population elements actually included in the sample. c. usually provides biased statistics. d. is a form of probability sampling.

Answers

Answer:

A. is a list of population elements from which the sample will be drawn

Step-by-step explanation:

Sampling frame is the list of people or items from which a sample is taken.  

Sampling is used because it is almost impossible to study entire population. Sampling allows us to find information about a population on the basis of results from a subset of the population, without studying every individual. It is easier and cost effective process.

A sampling frame refers to A. a list of population elements from which the sample will be drawn.

Sampling frame simply means the actual set of units from where the sample will be drawn.

A sampling frame consists of all the items that are in the population. Therefore, a sampling frame is a list of population elements from which the sample will be drawn.

Read related link on:

https://brainly.com/question/17412791

The The U.S.based motorcycle manufacturer says that it expects to build 140,000 motorcycles this year, up from 126.000 last year. Find the percent of increase in production.

Answers

Answer:

The us based motorcycle manufacturer says that it expects to build 140,000 motorcycles this year up from 126,000 last year.

This means the increased production is

144,000 - 126,000 = 18,000

The percentage change in production can

be found using the formula as listed below

PERCENTAGE INCREASE = change / initial × 100

Substitute the values we get

18,000/126,000 × 100

14.28 = percentage increase

What type of number is v5?

A) Whole number

B) Integer

C) Rational

D) Irrational

Answers

Answer:

I'm pretty sure it's letter D

Step-by-step explanation:

The square root of 5 is irrational because a square root of a positive number is either an integer or irrational, and seeing that the square root of five is most definitely not a whole number, it is irrational.

What is 36 ÷ ( 1 - |2-7| )?

Answers

Answer:

36 / (1 - |2 - 7|) = -9

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

I need a step by step, please ​

Answers

I hope this helps you

Subtract. Your answer should be a polynomial in standard form. (-7d2 – 5d f3 – 3f3) - (8d+ 4d f3 +253)​

Answers

Answer:

-9df^3 - 3f^3 - 7d^2 - 8d - 15625

Step-by-step explanation:

stephanie has a recipe that calls for 2/3 tablespoons of vanilla to make 3 1/2 dozen cookies

Answers

Answer:

4/21 tablespoons of vanilla

Step-by-step explanation:

Let's have the ratios:

2/3 tablespoons of vanilla per 3 1/2 dozen cookiesx tablespoons of vanilla per 1 dozen of cookies

It is solved by cross multiplication as:

2/3 × 1 = 3 1/2 × x2/3 = 7/2xx = 2/3 ÷ 7/2x = 2/3 × 2/7x = 4/21

4/21 tablespoons of vanilla needed for 1 dozen of cookies

Lilianna discovered that the ratio of kilometers to miles is 1 to 0.6 if its 60 kilometers to Moncton then how many miles does it take to get to Moncton.

Answers

Answer: 36 miles.

Step-by-step explanation: Ratio of 1 to 0.6 means 1:0.6 or [tex]\frac{1}{0.6}[/tex].

So, if to Moncton is 60km:

[tex]\frac{1}{0.6}=\frac{60}{y}[/tex]

[tex]y=60.0.6[/tex]

y = 36

To Moncton, it is 36 miles.

the sum of two rational number is minus 4 by know if one of them is 13 by 6 them find the other ​

Answers

Answer:

the sum of two rational number is minus 4 by know if one of them is 13 by 6 them find the other ​

Step-by-step explanation:

let the second rational no. be x

then a/q,

13/6 + x = -4/9

x = -4/9 - 13/6

x = (-16 - 78)/36

x = - 94/36 or -47/18

x = -2.61111

5/6=x-10/3x+6 solution?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 10}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{5}{6} = \frac{x - 10}{3x + 6} }[/tex]

Apply cross product property

⇒[tex] \sf{5(3x + 6) = 6( x - 10)}[/tex]

Distribute 5 through the parentheses

⇒[tex] \sf{15x + 30 = 6( x - 10)}[/tex]

Distribute 6 through the parentheses

⇒[tex] \sf{15x + 30 = 6x - 60}[/tex]

Move 6x to left hand side and change it's sign

⇒[tex] \sf{15x - 6x + 30 = - 60}[/tex]

Collect like terms

⇒[tex] \sf{9x + 30 = - 60}[/tex]

Move 30 to right hand side and change it's sign

⇒[tex] \sf{9x = - 60 - 30}[/tex]

Calculate

⇒[tex] \sf{9x = - 90}[/tex]

Divide both sides of the equation by 9

⇒[tex] \sf{ \frac{9x}{9} = \frac{ - 90}{9} }[/tex]

Calculate

⇒[tex] \sf{x = - 10}[/tex]

Hope I helped!

Best regards!!

There are 72 students in the class and 792 apples. If the apples are divided equally among the
students, how many does each student get? *

Answers

Answer:

each will get 11 Apple's

Step-by-step explanation:

divide it by 792 ÷72

11.

Answer:

11 apples per student

Step-by-step explanation:

it is a simple division task and you can apply two methods.

Method one

[tex]\frac{792 apples}{72 students}[/tex] =11 Apples per Student

Method two

if 11 students shares 792 apples

1 students gets __x__ apples.

cross multiply

x = [tex]\frac{(792 apples * 1 students)}{11 students}[/tex] = 11 Apples

what is the standard notation for the distance of 2.4x10^5 miles

Answers

Answer:

240,000

Step-by-step explanation:

You have to add 4 zeros to the answer and remove the decimal point to get the answer.

If you liked this answer please mark "Brainliest".

Please help me i dont understand this question will mark brainlest

Answers

Answer:

6

Step-by-step explanation:

M is midpoint of LN, so 3x = 2x + 2

3x = 2x + 2

3x - 2x = 2x + 2 - 2x

x = 2

LM is = 3x, so it's 3.2 = 6 units

Hope this helps ^-^

Tara looks up hotel room prices for a holiday. A hotel has a 25% off sale on its prices. A VAT charge of 20% must be added on at the end of the transaction after any discount. If the regular price of a room is £160 per night, how much will Tara pay for 7 nights?

Answers

Answer:

$1008

Step-by-step explanation:

We begin by calculating the amount after the 25% discount

= regular price*0.75

=£160*0.75

=$120

We then continue by calculating the the amount that must be paid when 20% VAT is added

= 120*1.20

= $144

Now Tara is going to spend 7 nights

Hence she will have to pay

144*7= $1008

31 km
9 km find the area of the triangle

Answers

What happens to the number after the subtraction sign in each problem

-3(8n - 5) - 2n = 8n - 21

Answers

Answer:

Step-by-step explanation:

First you do the parentheses so the -3 x 8n= -24 and -3 x -5= 15

so it will look like this. -24n+15-2n=8n-21

Now combine like terms the -24n-2n.

-26n+15=8n-21 now subtract 8n now it will look like this

-34n+15=-21 now -15 from -21

-34n=-36

now if you want n by its self divide -34 and -36

NEED HELP ASAP
given m||n find the value of x

Answers

Answer: x= 17°

Step-by-step explanation:

The two measures have to add up to 180 degrees.

(7x -1) + (5x -23) = 180    combine like terms on the left side

12x - 24 = 180 add 24 to both sides

      +24    +24

12x = 204     Divide both sides by 12

x = 17

cual es el resultado de esta operacion urge 27x - 6x

Answers

Answer:

21x

Step-by-step explanation:

No más debes de restar 6 de 27 y obtienes 21 y agregas el x

16) 14x-9y= -25
7x-y=-30​

Answers

Answer:

Step-by-step explanation:

14x - 9y = -25

-14x + 2y = 60

-7y = 35

y = -5

7x + 5 = - 30

7x = - 35

x = -5

(-5, -5)

Write an algebraic expression that models the word phrase.
The product of 8 and the sum of a number x and 14

Answers

Answer:

8(x + 14)

Step-by-step explanation:

The term product signifies multiplication in mathematics. However, in order to find a product, we must have two or more terms to multiply. Because we are finding the product of 8 and the sum of a number x and 14, we will place the sum in parentheses to show they are being added together.

Using this knowledge, we are left with the sum in parentheses (x + 14) and the number 8 to multiply it.

To simplify, this can be written as 8(x + 14).

((7, 6), (0,-1), (-7, -1), (-3, 2), (-5, 3) } Domain. Range​

Answers

The domain is {-7,-5,-3,0,7}.
The range is {-1,-1,2,3,6}.
:) hope you get a good grade.

I need help on number 2 I don’t understand it. it says what operation is indicated by the expression. A-d they are
A. 4y
B. 7/d
C. t+8
D. 3+t
I would really appreciate it it if someone would help me

Answers

Greetings from Brasil...

Here are the operations found:

4y = 4 · y → multiplication of 4 by y

7/d = 7 ÷ d → 7 by d division

t + 8 → sum of t with 8

3 + t → sum of 3 with t

help with all please ​

Answers

Answer:

13. 68

14. y = 0.50x + 8

15. y = 25x - 15

16. y = 7x - 1

17. [tex]a_n = 4 + 6(n-1)[/tex]

Step-by-step explanation:

13. f(3) means plug in 3 for x.

f(3) = 7(3)² + 5 = 7(9) + 5 = 63 + 5 = 68

14. Write out what you know. 0.50 inches per hour is the rate of snowfall, or your m, or your slope. m = 0.50. If x is hours passed and y is inches of snowfall, then you also know that at x = 4, y is 10. Plug these into the standard linear formula: y = mx + b => 10 = 0.50(4) + b

Solve for b:

10 = 0.50(4) + b

10 = 2 + b

b = 8

Remember, x and y are variables, not constants, but m and b are always the same for some given function. So your answer is y = 0.50x + 8

15. Write out what you know. If x is hours passed and y is distance from home in miles, then we need to find the slope and y-intercept using what you're given. How do you find the slope? Use this: [tex]m (or slope) = \frac{y_2 - y_1}{x_2 - x_1}[/tex].

You have two points given: (3, 60) and (7, 160). So [tex]m = \frac{160-60}{7-3} = \frac{100}{4} = 25[/tex]

Now, just use either of these points to find b, or your y-intercept.

y = mx + b

Let's just use (3, 60); either one would work though.

[tex]60 = 25(3) + b[/tex]

60 = 75 + b

b = -15

To make the equation, use the values for m and b that you found.

m = 25 and b = -15, so y = 25x - 15

16. In y = mx + b, b is the y-intercept, but it's also how much the graph shifts up or down from its "original" position. I don't really want to explain this, but you can experiment with y = x + something (like try y = x + 1, y = x - 1, y = x, y = x + 3) and you'll see the pattern of what I'm talking about. To move y = 7x + 3 down 4 units, just subtract 4 from 3 to get -1: you will get y = 7x - 1.

17. sorry I hope someone else gives u an explanation I'm kind of bored with these

How 17 | 12. The Mad hatter is stocking up on tea for his
unbirthday parties. The market sells 5 boxes of tea
for $66 At this rate, how many boxes of tea can he
buy with $30?

Answers

Answer:

About 2.3 boxes of tea

Step-by-step explanation:

If we divide the price by the number of boxes, in this case, 66 / 5 we would get 13.2. So the means that each box would cost $13.20. So if we divide 30 by the cost of each box we would get approximately 2.3 boxes of tea.  Hope this helps :)

WILL GIVE BRAINLIEST Pump it Up gym's daily revenue each can be modeled by R(x) = 5x where x represents the number of customers that visit the gym each day. The gym's daily costs can be modeled by the function C(x) = 2x + 150. Find the profit function P(x) if: P(x) = R(x) - C(x) P(x) = 7x +150 P(x) = 7x - 150 P(x) = 3x - 150 P(x) = 3x +150

Answers

Answer:

P(x) = 3x - 150

Step-by-step explanation:

Step-by-step explanation:

P(x) = R(x) - C(x)

Given:

R(x) = 5x

C(x) = 2x + 150

P(x) = 5x -(2x+150)

P(x) = 5x - 2x -150

P(x) = 3x - 150 <- Answer

Answer:

The profit function is P(x) = 3x-150

Step-by-step explanation:

Reason is R(x) = 5x

C(x)= 2x + 150

Plugin to P(x) = R(x) - C(x)

P(x) = 5x - (2x+150)

P(x) = 5x - 2x-150

P(x) = 3x-150

Hope this helps!

(pls mark brainliest)


In a class the ratio of boys to girls is 2: 1. There are 8 girls.
Work out the number of boys

Answers

there are 16 boys in the class
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