Mathematics High School

Sebastian was driving down a road and after 4 hours he had traveled 98 miles. At this
speed, how many hours would it take Sebastian to thrive 245 miles?
Fill out the table of equivalent ratios until you have found the value of x.

Sebastian Was Driving Down A Road And After 4 Hours He Had Traveled 98 Miles. At Thisspeed, How Many

Answers

Answer 1

Answer:

Let x = speed for the first 96 miles

x - 9 = speed for the last 100 miles

Distance = (rate)(time), so time = (distance)/(rate)

(time for first part of trip) + (time for last part of trip) = 4 hours

So, (96)/(x) + (100)/(x - 9) = 4

Multiply both sides by the LCD (x)(x - 9) to get

96(x - 9) + 100x = 4x(x - 9)

96x - 864 +100x = 4x2 - 36x

4x2 - 232x + 864 = 0

Divide both sides by 4 to obtain x2 - 58x +216 = 0

(x - 4)(x - 54) = 0

x = 4 or x = 54

Note that x can't equal 4 because, in that case, x - 9 would be negative, so x = 54 miles per hour.

Step-by-step explanation:

ok

Related Questions

what is the square root of 9 and 4

Answers

Answer:

3/2

Step-by-step explanation :

Square root of 9 and 4 is 3/2 because it just is

a company had to extend a project from 276 days to 483 days. what was the precentage increase in time to complete the project?

Answers

Answer: 75% increase

Step-by-step explanation:

First, you subtract the two numbers to find out how much increased.

483-276= 207

Divide by original number

207/276= [tex]\frac{3}4}[/tex]

Multiply by 100

[tex]\frac{3}{4}*100=[/tex] 75% increase

round 429 to the nearest hundred

Answers

Answer:

400

Step-by-step explanation:

429 is closest to 400 on the number line so it would be 400

400 because 429 is closer to 400 instead of 500

write the question of a line that passes through the point (8,3) and is parallel to the line that passes through the paoints (-5,-1) and (1,-4)

Answers

Answer:

y = - 1/2x + 7

Step-by-step explanation:

Slope = (-4 - - 1)/(1 - - 5) = -3/6 = -1/2

Point: (8,3)

b = 3 - (-1/2)(8)

= 3 + 4 = 7

x = 12
2x^2(x-5)/10x

Answers

Answer:

84/5

Step-by-step explanation:

x = 12

2x^2(x-5)/10x

2*12^2(12-5)/10*12

2*12*7/10

84/5

A cashier has a total of 98 bills, made up of fives and fifties. The total value of the money is $2605. How much of each kind does he have?
He has ___ fives and ___ fifties.

Answers

Answer:

Step-by-step explanation:

x= number of fives

y= number of fifties

x+y=98

5x+50y=2605

Solving through elimination...

5x+5y=490

(5x+50y)-(5x+5y)=2605-490

45y=2115

y= 47

x+47=98

x=51

Which means he has 51 fives and 47 fifties

Help me pleasee . It takes lesha 20 minutes to walk to school. It takes krista 80% as long to walk to school. how long does it take for krista to walk to school

Answers

Answer:

16 minutes

Step-by-step explanation:

80% of 20 =

10% ×8= 2×8=16

16 mins

A garden is in the shape of a trapezium whose parallel sides are 40m and 22m and the perpendicular distance between them is 12m. Find the area of the garden

Answers

Answer:

A = 372 m²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₁ the parallel bases

Here h = 12, b₁ = 40 and b₂ = 22 , then

A = [tex]\frac{1}{2}[/tex] × 12 × (40 + 22) = 6 × 62 = 372 m²

A REALITY OF RATIONAL ALGEBRAIC EXPRESSIONS​

Answers

Rational equations can be used to solve a variety of problems that involve rates, times and work. Using rational expressions and equations can help you answer questions about how to combine workers or machines to complete a job on schedule.

suppose river has new treats that are 10 calories each. how many of the new treats can she have and remain in her calorie range?

Answers

She can have at least 3 and at most 6 dog treats in a day

River can have - n = 10/y number of treats to remain in her calorie range, where the calorie range is [y] calories.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following problem -

River has new treats that are 10 calories each. how many of the new treats can she have and remain in her calorie range.

Assume the calorie range to be [y] calories and assume she can have [n] number of treats. We can write the linear function as -

10n = y

OR

y = 10n

This this the equation of the straight line. She can have -

n = 10/y

number of treats to remain in her calorie range.

Therefore, River can have - n = 10/y number of treats to remain in her calorie range.

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ2

Y = 11x - 7, what is y when x = 4? 1 Write the equation Y = x - 7 X 7​

Answers

Answer:

44-7=37

y=4-7x7....y=4-49....y=-45

Which of the following is a rational number?

square root of 2, square root of 3, square root of 4, and square root of 5

square root of 2
square root of 3
square root of 4
square root of 5

Answers

Answer:

The answer is C (square root of 4)

Step-by-step explanation:

Answer:

The answer is C (square root of 4)

Step-by-step explanation:

Because you

Sam works for 6 hours at $10.25 per hour. how much does she earn?

Answers

Answer:

$61.50

Step-by-step explanation:

1h=$10.25

6h=$10.25×6

=$61.50

Answer:

$61.5

Step-by-step explanation:

6t*10.25

= 61.5


What is the remainder when x^2+ 3 is divided by x - 1?

Answers

Step-by-step explanation:

x² + 3 / x - 1 = x + 1

- x² - x

------------

0 x + 3

- x - 1

-------------

0 4

the remainder is 4

Plshelp

find a10 in sequence 3, 1, 1/3, 1/9

Answers

Answer:

1/2187 is the 10th answer in the sequence

Step-by-step explanation:

just keep dividing the number by 3

1/9, 1/27, 1/81, 1/243, 1/729, 1/2187

Find the circumference and area of a circle with diameter 22 ft.

Answers

Answer:

C ≅ 69.08

a= 380.1 square inches

Step-by-step explanation:

If you can purchase 4 books for $254, how much did each book cost?​

Answers

Answer:

$63.50

Step-by-step explanation:

63.5 that's the answer am good at maths

Please help me with this question.

Answers

Answer is d, you can see the graph touches the x line in the point 5 so the answer is (5,0)

someone please help me

Answers

Answer:

that's an angle bisector my man

Corresponding Angle is the answer

Pls Help!! (ILL GIVE BRAINLIEST)

Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(4, 0), Q(0, â’4), and R(â’8, â’4). Triangle P′Q′R′ has vertices P′(1, 0), Q′(0, â’1), and R′(â’2, â’1).


Plot triangles PQR and P′Q′R′ on your own coordinate grid.


Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer.


Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis.


Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer.

Answers

Answer:

your mom lol sooooooooooooo

PLEASE HURRY

In a particular year, a total of 49,652 students studied in two of the most popular host countries when traveling abroad. If 6786 more students studied in the most popular host country than in the second most popular host country,find how many students studied abroad in each country

How many students studied abroad in the most popular host country

Answers

x = most popular

y = second most popular

x+y=49652

x=y+6786

Substitute into the first equation

(y+6786)+y=49652

2y=49652-6786

2y=42866

y=21433

x=21433+6786=28219(answer)

whats the opposite of -3 pls :)

Answers

Answer:

positive 3

Step-by-step explanation:

answer- positive 3

Answer:

Th opposite is positive 3

Step-by-step explanation:

Since it is -3 the opposite of a positive, it would be positive 3 (3)

Hope this helps!

Last week, Alan's Diner sold 10 milkshakes with whipped cream on top and 15 milkshakes without whipped cream. What percentage of the milkshakes had whipped cream?

Answers

Answer:

4

Step-by-step explanation:

Answer:

4 milkshakes with whipped cream

which is greater 3.65x10-8 or 3.65x10-7

Answers

Answer:

the second one is your answer

Step-by-step explanation:

hope this helped mark me brainlest pls and thank you

Could someone explain to me how to do this? I'd like to know before my test, please!

Find the value of x for which a || b

Answers

Answer:

Since a and b are parallel

Step-by-step explanation:

2x+27=3x - 27

collect the like terms

3x-2x=27+27

x=54

PLS MARK BRAINLIEST

Answer:

x = 54

Step-by-step explanation:

If the lines are treated as parallel , then

(3x - 27) and (2x + 27) are alternate exterior angles and congruent, so

3x - 27 = 2x + 27 ( subtract 2x from both sides )

x - 27 = 27 ( add 27 to both sides )

x = 54

For a and b to be parallel then x = 54

Describe how to round set to the best
HELP PLEASE QUICKLY

Answers

Round the number to the nearest ten or hundredth or thousands ex: 177 you would round it to 200


Answer these please tell me
1. What the error was
2. How can U check ur answer

Answers

Answer:

The first one: the error was that the 3 shouldn’t have been moved but the 5 should have. The correct answer is k=-8

The second one: the error was that they added the 6 and 4, you would only get -10 if the 4 was - the correct answer is -2

You can check your answer by plugging in your answer to the variable and making sure both side equal each other

Step-by-step explanation:

The first one: the 5 should be - from both side so you get k=-8

The second one: the 4 should be + to both sides. And the -6 and +4 should be added together to get n=-2

Remember you always want to get the variables by themselves.

Sorry that was a lot. Hope it helps!

explain how you know these figures are similar​

Answers

Answer:

because of them is bigger than the other one so that means its differ but it has the same length

Step-by-step explanation:

the figures are the same size

how to write a fraction percent as a decimal such as ⅜%:

write each percent as a decimal.

[tex] \frac{3}{8} \% \: as \: a \: decimal[/tex]


​

Answers

Answer:

as a decimal,, you just devide 3/8 then multiply by 100 it results to

37.5

or
Adam is going on vacation and taking his dog Pickles along. Pickles eats 3 cups of Hungry Hound dog food each day. Adam wants to know how many days he can feed Pickles from a 15-cup bag of Hungry Hound.
Which equation can Adam use to find the number of days d he can feed Pickles from the bag?
Solve this equation for d to find the number of days Adam can feed Pickles.

Answers

Anwser: 5 days
Explanation: 15 divided by 3 equals 5 so he can feed pickles for 5 days from the bag.
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