Leon drove from his house in Cincinnati to his sister’s house in Cleveland, a distance of 252 miles. It took him 4.5 hours. For the first half-hour, he had heavy traffic, and the rest of the time his speed was five miles per hour less than twice his speed in heavy traffic. What was his speed in heavy traffic?

Answers

Answer 1

Answer:

Speed in heavy traffic is 32 miles per hour

Step-by-step explanation:

Total distance = 252miles

Total time = 4.5hours = 4 hours + 30minutes

Let the speed in heavy traffic = x

distance = time * speed

First half hour    

D1 = 0.5*x

The speed after the traffic = 2x - 5

D2= 4* (2x - 5)  

Total distance = D1 + D2

    [tex]\frac{x}{2}[/tex]  + 8x - 20 = 252

        [tex]\frac{17x}{2}[/tex]   = 272

      x = [tex]\frac{272}{17}*2[/tex]

      x = 32 miles per hour


Related Questions

15% off of $60, then subtracting 10% from that cost, is equal to

Answers

Answer:

8.1 i think

Step-by-step explanation:

Buddy and his team have been asked by NASA to make a space shuttle cake (a scale model shaped like the one to the left) for a fundraising event. The original space shuttle has a height of 184 ft and a wingspan of 78 ft. Buddy and his team decide to construct the cake on-site so that they do not have to worry about transporting it. Buddy decides to make a cake with a wingspan of 10 ft and asks one of his decorators, Ivette, to calculate the height of the cake. Ivette decides that the cake should be approximately 4 ft tall.

Answers

Answer:

Ivette is wrong and by a lot. The spaceship should be 23.59 feet high

Step-by-step explanation:

The relationship between the spaceship's height and width = 184 feet : 78 feet ≈ 92 : 39 ≈ 9.2 : 3.9. This means that for every 3.9 feet wide, the cake should be 9.2 feet high.

In this case, the spaceship is 10 feet wide, so it should be (10 / 3.9) x 9.2 =  23.59 feet high.

When you make scale drawings or scale cakes, you must keep the same proportions as the original model.

In a survey of 2,800 people who owned a certain type of​ car, 1,400 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

50% of people would buy the car again.

Step-by-step explanation:

2800 divided by 2 is 1400.

The percent of the people surveyed were satisfied with the​ car is 50%.

Given that,

In a survey of 2,800 people who owned a certain type of​ car, 1,400 said they would buy that type of car again.

Based on the above information, the calculation is as follows:

[tex]= 1400 \div 2800[/tex]

= 50%

Learn more: https://brainly.com/question/10309631?referrer=searchResults

1. Solve for x: 7x + 15 = 38 (5 points) (A.23/7) (B.53/7) (C.23) (D.53)​

Answers

Answer:

A. 23/7

Step-by-step explanation:

Step 1:

7x + 15 = 38          Equation

Step 2:

7x = 23         Subtract 15 on both sides

Step 3:

x = 23 ÷ 7          Divide

Answer:

x = 23/7

Hope This Helps :)

Answer:

23/7

Hope this helps..

I am not sure with the answer..

but I think it's correct

What is the slope in the equation y=3/4x

What is the y-intercept also?

Answers

Answer:

slope = 3/4

y- intercept : (0,0)

Step-by-step explanation:

Sheldon needs to buy 9 gallons of ice cream for a family reunion. The table shows the prices for different
sizes of two brands of ice cream.
View Exal
Step-by-
Cold Farms
Sweet Dreams
Price of small size
$4.50 for 1 pint
$2.25 for 1 quart
Price of large size
$8.50 for 1 quart
$5.50 for 1 gallon
Video Tut
Textbook
Which size container of Cold Farm ice cream is the better deal for Sheldon? Complete the explanation to
justify your answer.
Print
72 pints of Cold Farm ice cream cost $[ and 36 quarts of Cold Farm ice cream cost $
(select) size container is the better deal for Sheldon.
The

Answers

9514 1404 393

Answer:

$324 for 72 pints$306 for 36 quartslarger size is better deal

Step-by-step explanation:

The cost of 72 pints is 72 times the cost of 1 pint:

  72 × $4.50 = $324.00 . . . cost of 72 pints

The cost of 36 quarts is 36 times the cost of 1 quart:

  36 × $8.50 = $306.00 . . . cost of 36 quarts

__

The price for quart containers is lower, so the larger size is the better deal.

Tao wants to check that the expression 3(4x – 6) simplifies to 12x – 18. What is the value when 2 is substituted for x into both expressions? The value of each expression is 2. The value of each expression is 6. The value of one expression is 2, and the value of the other expression is 6. The value of one expression is 6, and the value of the other expression is –6.

Answers

Answer:

The value of each expression is 6.

Step-by-step explanation:

3 * 4 = 12 and 3 * 6 = 18

So 3(4x - 6) = 12x - 18

12(2) - 18 = 24 - 18 = 6

Answer:

the value of each expression is 6

Step-by-step explanation:

edge 2020

Eli's Diner sold 50 milkshakes last week. 60% of the milkshakes had whipped cream on top. How many milkshakes with whipped cream were sold?

Answers

Answer:

30 will be the number of milkshakes had whipped cream on top.

Step-by-step explanation:

Total number of milkshakes sold by Eli's Diner last week = 50

As 60% of the milkshakes had whipped cream on top.

Let x be the number of the milkshakes had whipped cream on top.

[tex]x=\frac{60}{100}\times 50[/tex]

[tex]x=\frac{60}{2}[/tex]

[tex]x=30[/tex]

Therefore, 30 will be the number of milkshakes had whipped cream on top.

question 4 pleeeeease help

Answers

It should be B because it is the only one with a negative sign. The first one is not a slope problem.

PLEASE HELP!!
You need to factor by grouping.
Please explain the steps!

Answers

Answer:

3(k-4)(7k^2+5)

Step-by-step explanation:

1) Factor out GCF

3(7k^3-28k^2+5k-20)

2)Split into two

3) Factor

3*7k^2(k-4)+5(k-4)

3(k-4)(7k^2+5)

y = -4x + 6
y = -2x - 2

Solve for x and y

Answers

Answer:

(4,-10)

Step-by-step explanation:

You set them equal to each other.

You get x=4

Sub in 4 for one of the equations

y=-10

Solve for x in y = -4x + 6.

x = −y/4 + 3/2

Solve for x in y = -2x - 2.

x = −y/2 −1

Nothing can be done with y = -4x + 6 and y = -2x - 2

Which number goes in the box?
8 + 9 = 9 +

Answers

Answer:

8

Step-by-step explanation:

I hope this helps you out!

Answer:

8

Step-by-step explanation:

...

Which of the following points would be on the graph of the equation y=−4x+6?(−4, −10)(−4, 22)(1, −10)(1, −2)

Answers

Answer:

Only the point (-4, 22)  is ON THE GRAPH of the equation. Please also check the attached graph.

Step-by-step explanation:

Given the equation

[tex]y=-4x+6[/tex]

Let us substitute all the given points to check which points satisfy the equation.

Substitute (-4, -10) in the equation

[tex]y=-4x+6[/tex]

[tex]-10=-4(-4)+6[/tex]

[tex]-10=16+6[/tex]

[tex]-10=22[/tex]

As the R.H.S ≠ L.H.S, hence (-4, -10) does not satisfy the equation.

Hence, (-4, -10) is NOT ON THE GRAPH of the equation

Substitute (-4, 22) in the equation

[tex]y=-4x+6[/tex]

[tex]22 = -4(-4)+6[/tex]

[tex]22 = 16+6[/tex]

[tex]22 = 22[/tex]

As the R.H.S = L.H.S, hence (-4, 22) satisfies the equation.

Hence, (-4, 22)  is ON THE GRAPH of the equation. Please also check the attached graph.

Substitute (1, -10) in the equation

[tex]y=-4x+6[/tex]

[tex]-10=-4(1)+6[/tex]

[tex]-10=-4+6[/tex]

[tex]-10=2[/tex]

As the R.H.S ≠ L.H.S, hence (1, -10) does not satisfy the equation.

Hence, (1, -10) is NOT ON THE GRAPH of the equation

Substitute (1, -2) in the equation

[tex]y=-4x+6[/tex]

-2 = -4(1)+6

-2 = -4 + 6

-2 = 2

As the R.H.S ≠ L.H.S, hence (1, -2) does not satisfy the equation.

Hence, (1, -2) is NOT ON THE GRAPH of the equation

Therefore, from the above analysis, we conclude that only the point (-4, 22)  is ON THE GRAPH of the equation. Please also check the attached graph.

Aanya got 5 marks in Science test. Her friend Sneha got 'x' marks more than Aanya. How many marks did they get altogether?

Pls Answer FAST

Answers

10 + x i hoped this helped

say hi and i will mark brainllyist or whatever

Answers

Answer:

hi hows your day

Step-by-step

HELP!

Which relation is a function?

Select all that apply.

Answers

Answer:

A,B,D

Step-by-step explanation:

A,B,D is the answer Hhhhh

3(6d - 24) = 6(12 + 3d)
pls solve i need

Answers

3D = 32 or D = (10 2/3)

Step-by-step explanation:

We want to make D only one side so we subtract 3D from the left

Then we slowly make the equation smaller and smaller by adding 24 to each side, multiplying the numbers, then finally getting our answers.

Answer:

No solutions

Step-by-step explanation:

Distribute the 3 to the first set of parentheses:

3(6d - 24) = 6(12 + 3d)

18d - 72 = 6(12 + 3d)

Distribute the 6 to the other set of parentheses:

18d - 72 = 72 + 18d

Subtract 18d from both sides:

-72 = 72

-72 [tex]\neq[/tex] 72

Since -72 and 72 are not equal, there are no solutions

Exercise 1: Which of the following is not an equation
(1) 2x + 3 = 10
(2) 3+2 = 5
(3) 3(2x + 1)
(4) 1+ 4 = 10

Answers

It is number 4.........

Answer:

(3) 3(2x +1 )

Step-by-step explanation:

For (1), (2), and (4), all of them give an answer while (3) does not which means that (3) is not an equation.

Haley spent 1/2 hour playing on her cell phone that use 1/9 of her battery how long does she have to play on her phone to use the entire battery?

Answers

Answer:

4 1/2 hours.

Step-by-step explanation:

If 1/2 an hour only used up 1/9 of her battery, 9, 1/2 would give us 9/2, which if you simplified it gets you 8 1/2 hours. Hope this helps! Have a great day!

Inside an auditorium, 1 out of 5 people wear hats, and 4 out of 5 people do not wear hats. Based on this information, predict how many wear hats if there are 215 people.

Answers

Answer:

43

Step-by-step explanation:

Which of the following graphs represents the equation above -3x+2y=8

Answers

Answer:

Is there a picture of the graphs...?

Step-by-step explanation:

Anyways, the answer should be y= 3/2x +4

If you show me the graphs I could possibly help you find which one is correct.

Answer:

Step-by-step explanation:

Here are the graphs, which one goes with

y = 4 + 3/2x ?

Understanding Elevation
Death Valley, Califomia, has an elevation of -282 feet What does this mean?
It is 282 feet above sea level
It is 282 feet below sea level.
It is - 282 feet above sea level
Itis - 282 feet below sea level

Answers

Answer:

Step-by-step explanation:

if it has a negative elevation of 282 feet than its below sea level by 282 feet if its 282 feet above with no negative than its 282 feet above sea level i hope this helped

Answer:

hi the answer is b)It is 282 feet below sea level.\

have a nice day!

Step-by-step explanation:

mark me brainliest?

(-3, 8) is a solution to the following system of equations: 4x + 3y = 12 5x + 2y = 1 True False

Answers

Answer: True

Step-by-step explanation:

hello, I need help with this! also could you please explain how you did it, thank you! :)

Answers

Answer:

-7

Step-by-step explanation:

-2(4 - 5 ) - 1(2 - 5)^2

-2(-1) - 1(-3)^2

2 - 1(9)

2 - 9

-7

Hope this helps. Pls give brainliest.

Answer:

-7

Step-by-step explanation:

Pt.2 Please show your work
Find the slope when given the following points
(-3, 2) and (1, 0)

Answers

Answer:

slope is = -1/2

Step-by-step explanation:

y2-y1= 2-0= 2

x2-x1= -3-1= -4

2/-4= -1/2

using the slope formula... y-y
m=___
x-x

it would be 2-0 OVER (fraction formula shown above) -3-1

so your end fraction would be 2/-4 which would be -0.5

so, your slope would be -0.5

Find k such that the roots of the quadratic are real, rational, and equal: 9x^2+kx+1=0

Answers

Answer:

Step-by-step explanation:

9x^2+kx+1=0

k= -9x-1/x

Sixth grade Y.14 Factor using th
Factor 10y + 20z.

Answers

Answer:

17zy

Step-by-step explanation:

big brain

Answer:

y+z=30

Step-by-step explanation:

y=10 z=20

y+z=30

Of the following, which is the solution to 2x2 + 3x = −5?

Answers

Answer:

Step-by-step explanation:

Nothing to choose from??/

But 2x^2+3x=-5 is

- 3± i√31 / 4

Answer:

[tex]\frac{-3+-i\sqrt{31} }{4}[/tex]

ye

A deal is a deal, so here is a good one, let's see who gets it right. I had $10.00. My mom gives me $30.00, My dad gave me $30.00. My aunt and uncle give $100.00. I had another $10.00. How much money did I have?

Answers

Answer:

$180 in total!

Step-by-step explanation:

10 + 30 + 30 + 100 + 10 = 180

the uncle and aunt gave their money together, it didn't specify that they each gave 100

Answer:

The total amount of money i have is $180.

Step-by-step explanation:

Given information:

The money i have = $10

Mom gives = $30

Dad gives = $30

Aunt and uncle gives = $100

Now i had another $10

The total amount of money (x) i have is the sum of all money i receive.

x = 10+30+30+100+10

x = 180

Hence , the total amount of money i have is $180.

For more information visit:

https://brainly.com/question/4356723?referrer=searchResults

Please help, please write a proof to prove the “prove” section

Answers

it’s the triangle 1244
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