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

WILL NAME brainliest

Answers

Answer:

[tex]x=13[/tex]

Step-by-step explanation:

By the definition of an angle bisector, we have that [tex]8x-23=5x+16[/tex].

We can add [tex]23[/tex] to both sides to get [tex]8x=5x+39[/tex].

We can then subtract [tex]5x[/tex] from both sides to get [tex]3x=39[/tex].

We can finally divide both sides by [tex]3[/tex] to get [tex]\boxed{x=13}[/tex]

the sum of the reciprocals of two consecutive integers is -11/30

Answers

So if the first one is for example 5. If X is 5. Then X plus 1 would give us 6. And so 5 & 6 would be the

a circle’s radius is increased by 8%. Find the increase in the circle’s area.

Answers

Answer: The percentage increase in the area of the circle is 16.64 % when radius is increased by 8 %.

Use the graph of the quadratic function, g(x), to answer each question.

Answers

Answer:

it is -3 8 and 2

Step-by-step explanation:

Answer:

i think its  -3 8 and 2 (maybe)

Step-by-step explanation:

i asked my friend

evaluate the expression for the given value of x

1. 2+x+(-7);x=8


2. x+7+(-7);x=4 ​

Answers

Answer:

1. 3               2. 4

Step-by-step explanation:

1. 2+8+(-7)

2+8-7

3

2. 4+7+(-7)

4+7-7

4

Answer:

x =-1

Step-by-step explanation:

WORTH 50 POINTS HELP ASAP WILL GIVE BRAINLIEST!
The price of a new pair of shoes is $52.00. If you order them directly from the company on the internet, you can save money and the price is only $42.64. What is the percent change?
18% decrease
22% decrease
18% increase
22% increase

Answers

18% decrease

Hope this helped you-have a good day bro cya)

Answer:

The percent change is an 18% decrease.

Step-by-step explanation:

It is predicted that a softball team will win 35 out of their 50 games after 20 games they have won 16 what will be percent error

Answers

Answer:

Step-by-step explanation:

Can somebody help me please

Answers

Answer:

sdfgsdhvdert

fghjkkl

fghj

fghjk

gfgjuii

solve the equation: -2(n+3)=13

Answers

Answer:

n is -9.5 ....hyuibgtyujhff

Answer for number 1?

Answers

Answer:

you  need to draw a triangle on the grid

Step-by-step explanation:

find point -3 then 7

then find points -2 and 1

then -5 and 2

then join the points together

hope that helps

pls mark brainliest

how many miles of the road does the crew have left to pave after 11 days?

Answers

A construction crew needs to pave a road that is 205 miles long. The crew paves 8 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function.

L(d) = 205 - 8d

PLEASE HELP THIS IS FOR A TEST I AM TAKING RN AND MY TEACHER DOESN'T TEACH US AT ALL!!!

You are a graphic artist. You are given an image that is 1.2 inches tall and 2.1 inches wide. Your customer wants the image enlarged to create a banner 7 feet wide. Calculate how tall your banner should be to create a proportional image. Remember to include correct units in your answer! ​

Answers

Height / Width = 1.2in / 2.1in

Height / Width x / 84in (7feet)

Solve for X using cross multiplation

2.1x = 1.2 * 84

2.1x = 100.8

x (height) = 48 inches or 4 feet.

cho khối chóp có diện tích đáy B=3 và chiều cao h=4. Thể tích của khối chóp đã cho bằng
A.6
B.12
C.36
D.4

Answers

Answer:

D. 4

Step-by-step explanation:

 [tex]V =\frac{1}{3}Bh=\frac{1}{3}.3.4=4[/tex]

Helppppp plzzzzzzzzzzz

Answers

So how you can solve this is by using some cool tricks.

Look at the end number of computers, which is 40 right?
So with the total number of 40, you will simply subtract 10 and 5, to get the missing number.
Which is 40-10-5= 25

Then for printers you would do, 8-2= 6
Then by filling in the first blank you can move into the second blank by adding up all the three numbers you now have,
8+2+6= 16

5. How does the number line below represent the product of a
positive number and a negative number? Explain.
Please Help The attachment is attached Below ⬇

Answers

Answer:

Sorry I can't give you a straight answer right now because I'm in a hurry but here is some help;

Step-by-step explanation:

Remember:

When adding positive numbers, count to the right. When adding negative numbers, count to the left.  Add when two of the same signs appear next to each other

Equations that are functions can be written in a form called what?​

Answers

Answer:

function notation.

Step-by-step explanation:

I was there with you i just happen to remember this one thing from my middle school

-3x lessthan or equal to 3x +3 less than 2x+ 10

Answers

Answer:

x ≥ 0Hope this helped :)

Find the value of x.

Answers

Add all three angles and set them equal to 180.

180 = x + (x - 28) + (x + 28)

180 = 3x

x = 60

Plz help due tonight

Answers

Answer:

[tex]4x + 8 = 2x + 3 + 51 \\ 4x - 2x = 54 - 8 = 46 \\ 2x = 46 \\ x = 46 \div 2 = 23 \\ 2x + 3 = 2 \times 23 + 3 = 49 \\ 51 \\ 80[/tex]

enjoy it

11 divided by 6/6


PLEASE HURRY THIS TEST

Answers

Answer: 1.666666667 or 1.6

Step-by-step explanation:

Examine the following table of points, which are all on a certain line.

x y
−2 4
0 2
1 1
3 −1

Answers

Answer: I don't see a question, but the equation of the line that these points form is y = -x + 2

Step-by-step explanation:

y=-x+2

The points have a negative 1 as their slope. The y-intercept (the value of y when x=0) is 2

y = -x+2

Tom is deciding whether or not he should become a member gym to use their basketball courts. The membership cost is $135. Members pay $2 to rent out the basketball courts. Non-members can rent the court also, but they have to pay $11 each time. how many times would Tom need to rent the court in order for it be cheaper to be a member than a non member?​

Answers

Answer:

16 times

Step-by-step explanation:

Membership cost:

C = 135 + 2x

Non-members:

C = 11x

____

135 + 2x = 11x

135 = 9x

x = 15

The cost would be the same after renting 15 times, so after 16 times the cost would be cheaper for a member.

A park district is building an outdoor tennis court based on a scale drawing that measures 30 cm long by 13.75 cm and uses the scale 1 cm:0.8 m. What is the area of the actual tennis court in square meters?

Answers

The actual area of the tennis court is 264 m²

First use the scale to find the actual dimensions of the court:

1 cm : 0.8m

30 cm in the drawing would be:

= 0.8 x 30

= 24 m outside

13.75cm in the drawing would be:

= 0.8 x 13.75

= 11 m outside

Area of a rectangle (which is what the dimensions resemble):

= Length x width

= 24 x 11

= 264 m²

In conclusion, the area of the tennis court is 264 m²

only 23 please. And you can get 50 points

Answers

Answer: [tex]\large \boldsymbol {} \displaystyle y=-5x-7 \ \ or \ \ f(x)=-5x-7[/tex]

Step-by-step explanation:

Having built a graph, we can immediately understand that this is a linear functiony=kx+bHaving built a graph, we can immediately understand that this is a linear functiony=kx+bIn order to determine which rule the function follows, it is only enough for us to know the coordinates of only two points, let them be points (-3  ; 8 ) and (-2 ; 3 ) Substitute the values of x and y into an unknown function y=kx+b [tex]\displaystyle \large \boldsymbol {} \left \{ {{-3k+b=8} \atop {-2k+b=3 }} \right.=> -k=5=>k=-5 \ \ ; \ \ b=3+2k=-7[/tex]

Then we get the function :

[tex]\large \boldsymbol {} \displaystyle y=-5x-7[/tex] The graph in attached file

[tex]\large \boldsymbol{}[/tex]

Barty is going to flip a coin three times. What is the probability that he will see at least
two tails? Can you use a Probability Area Model for this situation?

Answers

Answer:

1/2

Step-by-step explanation:

For three coin tosses, the posible outcomes are:

[(HHH), (HHT), ( THH), (HTH), ( THT), (TTH), (HTT), (TTT)

The outcomes where there are at least 2 tails are:

(TTT), (TTH), (THT), (HTT)

So, the probability that the coin will land tails at least 2 times is 4/8 or 1/2

J=b-q/g solve for b.

Answers

Answer:

[tex]j = b - \frac{q}{g} \\ j + \frac{q}{g } = b \\ b = \frac{gj + q}{g} \\ thank \: you[/tex]

A class contributed $19.00 in quarters and dimes to a local homeless shelter. In
all there were 100 coins. How many were there of each kind.

Answers

Answer: 60 quarters and 40 dimes

Step-by-step explanation:

Step 1: Setup Coin Value and Coin Total Equation:

Coin Value Equation → 0.1d + 0.25q = $19.00 where d = dimes and q = quarters

Coin Total Equation → d + q = 100

Step 2: Rearrange Coin Total Equation in terms of dimes (d)

d = 100 - q  ← Revised Coin Total Equation

Step 3: Plug in our Revised Coin Total Equation for d into our Coin Value Equation:

0.1(100 - q) + 0.25q = $19.00

0.1(100) - 0.1(q) + 0.25q = $19.00

10 - 0.1q + 0.25q = $19.00

10 + (0.25 - 0.1)q = $19.00

10 + 0.15q = $19.00

Step 4: Subtract 10 from each side of the equation to isolate q

10 - 10 + 0.15q = $19.00 - 10

0.15q = 9

Step 5: Divide each side of the equation by 0.15 to isolate q

0.15q/0.15  =    9/0.15

q = 60

Step 6: Using our value for q, Solve for d using our Coin Total Equation:

d + 60 = 100

Subtracting 60 from both sides, we get d + 60 - 60 = 100 - 60

d = 40

Summarizing our word problem, we see that 60 quarters and 40 dimes add up to $19.00

help please and thank youu

Answers

Answer:

5

Step-by-step explanation:

f(x) just means y

find the spot on the line that hits y at 7.

then look directly down to the x line to see that the intersection is (5,7)

simplify -1 1/2 divided by 1 2/3

Answers

Answer:

-5/2

Step-by-step explanation:

Or -2.5

If you divide a negative by a positive it becomes a negative.

Hope this helps any!

You want to buy a phone that costs $500. You already saved $100, and you plan to save $40 every week. How many weeks would it take to meet your goal of $500?​

Answers

10 weeks to get 500 dollars
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