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

What is (5/4)³ ? Just asking-

Answers

I believe the answer to your question would be 1.953125 (from my calculator)

Answer: 1.953... or 125/64

Step-by-step explanation:

A company is considering purchasing mineral rights to two different mountains. The probability that it will purchase the mineral rights to the mountain is 0.55. The probability that will purchase the mineral second mountains 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, the probability that it will purchase the mineral rights to exactly one of the two mountains?

Answers

Answer:

.51

Step-by-step explanation:

P(F)=.55, P(S)= .4

P(F ∩ not S)= .55×.6=.33

P(S ∩ not F)= .4×.45=.18

.33+.18=.51

Answer:

The probability of purchasing mineral rights to exactly one of the two mountains is 0.51.

Step-by-step explanation:

Given information:

A company is considering purchasing materials:

The probability of purchasing mineral rights

Form the first mountain [tex]p_1=0.55\\[/tex]

From the second mountain [tex]p_2=0.4[/tex]

As the decision is made independently

So, P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]=0.55 \times 0.6\\[/tex]

P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]= 0.33\\[/tex]

Similarly, the value of

P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.4 \times 0.45[/tex]

P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.15[/tex]

Hence , [tex]P=0.33+0.18[/tex]

[tex]P=0.51[/tex]

Hence , the probability of purchasing mineral rights to exactly one of the two mountains is 0.51.

For more information visit:

https://brainly.com/question/8284622?referrer=searchResults

Can y’all help give me the answer

Answers

The answer is Y^2+4
You times y by it’s self to get y squared
Times -2 *-2 to get 4 then put it together

Solve:
r/5- 6
= -1
My Answer:

Answers

Answer:

r = 25

Step-by-step explanation:

r/5 = 5

5 x r/5 = 5 x 5

r = 25

Answer:

r=25

Step-by-step explanation:

r/5-6+6= -1+6

r/5=5

r/5×5=5×5

r=25

A spaghetti dinner cost $12 and a slice of cake cost $3. Write an expression, using distributive property to find the total cost for a family of 5. Then solve your expression, showing your work, to find the total cost.

Answers

Answer:

5 (12+3)

75

Step-by-step explanation:

so you multiply 5 with the inside of paranthesis. So 5 x 12 and 5 x 3

So its 60 + 15 which is 75. Hope this helps!

Helpppp me plz thanks

Answers

Answer:

It’s 55

Step-by-step explanation:

180- 125=55

Answer:

This is a same side interior angle. I just learned this in class so don't blame me if your wrong, ur taking advice from a 4th grader dude.

Answer is: x

read the explanation lol

Step-by-step explanation:

So we know angle 3 and 4 is=180

7 and 8 =180

but 4 and 7 ALSO add up to 180, I think you can do this now. It's mental math.

Hint: 125+x=180

A) {(0,1),(1,2),(2,3),(3,4),(1,5)}
B) {(0,0),(1,1),(2,4),(3,9),(4,16)}
C) {(-2,4),(-1,1),(0,0),(2,4),(3,9)}

Which one is a function?
And which is is not Non-function?


PLZ ANSWER PLZ 15 POINTS JUST PLZ

Answers

Letter B is a function because all the x values are different. Letter C is a function also because even though the number 4 repeats, it is in the y value and not the x so as long as the x value’s are different, it is a function. Letter A is not a function because there are 2 of the same x values.

Norma's retirement party will cost $24 if she invites 12 guests. If there are 13 guests, how much will Norma's retirement party cost? Solve using unit rates.

Answers

Answer:

If there are 13 guests, it would cost Norma $26

Step-by-step explanation:

Since 12 guest equals 24 dollars all you have to do is divide 24/12 which would give you 2dollars. this means that she has to pay 2 dollars per guest. Multiply 13 becuase you want to know how much money it would cost with 13 guests and you get 26 dollars. Hope this helps.

Answer:

It'll cost $26 !

Step-by-step explanation:

if you set it up like this;

[tex]\frac{13}{x}= \frac{12}{24}[/tex]

you can see a few ways of solving this !

one way is cross multiplication .

13 x 24 = 312

312 / 12 = 26

what are the solutions to the quadratic equation 6x^2 + 24X = 0?

Answers

Answer: {0, -4}

Step-by-step explanation: Notice that the two terms on the left side

of the equation have a greatest common factor of 6x.

So start by factoring out a 6x to get 6x(x + 4) = 0.

So either 6x = 0 or x + 4 = 0.

Eventually we find that x = 0 or x = -4.

So our solution set is {0, -4}.

Brody earns $11 for each hour of babysitting. How many hours in all will it take Brody to
earn a total of $33?

Answers

Answer:

3 hours

Step-by-step explanation:

11 / 33 =3

11 x 3 = $33

Answer:

3

Step-by-step explanation:

If brody earns $11 for each hour, and ends up with a total of $33 dollars, use the 11x=33. x= the amount of hours he worked. Move the 11 over to the other side by dividing each side by 11. Then 33 divided by 11 is 3 so x=3.

i will mark brainliest please help

Answers

Answer:

The answer would be two and four

Step-by-step explanation:

Answer:

II and IV

Step-by-step explanation:

H and S only would appear the same after 180° rotation.

what is the equation of the graph below?

Answers

Answer:

y = 3x  + b

3x is the slope

y = 3x + 1 because 1 is the y intercept

Step-by-step explanation:

Answer:

y = 3x + 1

Step-by-step explanation:

You know the  y intercept by looking where the line hits the y axis, which is at (0,1), so you know the "b" of the equation is 1. Then, you do rise over run. If you rise 3 and run 1, you get to another point, so I know the slope is 3/1 or 3.

A side of the triangle below has been extended to form an exterior angle of 112°. Find
the value of x.

Answers

180 - 112 = 68
68 + 90 = 158
180 - 158 = 22
x = 22

What value of x makes this equation true?

-6x + 3 = 45

Answers

Subtract 3
-6x = 42
Divide by -6
x = -7

Answer:

Subtract 3

-6x = 42

Divide by -6

x = -7

A car can travel 252 miles on 9 gallons of gasoline. How many gallons of gas
will it need to go 140 miles?
1

Answers

Answer:

5

Step-by-step explanation:

252/140=9/X

252x=1260

x=5

Domain is the set of all input values, while range is the set of all: a. independent variables c. relations b. output values d. functions Please select the best answer from the choices provided A B C D

Answers

Answer:

b

Step-by-step explanation:

What is the m for this slope?

Answers

Answer:

-3/4x

Step-by-step explanation:

Down 3, right 4. We know it's negative because it's declining, and going down till you reach the x-coordinate of the point gives us -3, and going right 4 units to the location of the point.

The graph below shows a quadratic function f(x) and an absolute value function g(x) Which of the following x-values are approximate solutions to the equations f(x) = g(x)? select all that apply

Answers

Answer:

a, b ,e

Step-by-step explanation:

The solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2

The correct answers are option (A) and option (E)

What is equation?

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

What is solution to equations?

"It is a value or a set of values, when substituted for the unknowns, the equation becomes true."

For given question,

We have been given the graph of a quadratic function f(x) and an absolute value function g(x).

We need to find the x-values that are approximate solutions to the equation f(x) = g(x).

To solve the equation f(x) = g(x), we look for the points where the graphs of f(x) and g(x) intersect.

The intersection point of f(x) = g(x) appears to be at point which lie in the second quadrant and the x-value lie between -2 and -4.

Also,  the second intersection point lie in the fourth quadrant where x value is in between 4 and 6.

So, the solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2

The correct answers are option (A) and option (E)

Learn more about the solution to the equation here:

https://brainly.com/question/14603452

#SPJ2

31 = - (1 +6p ) +4(p + 6 )

Answers

Answer:

p = -4

                                                                                                                 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

p = -4

Step-by-step explanation:

I'm not going to explain each step, just try to follow along.

31 = -(1+6p)+4(p+6)

31 = -1-6p+4p+24

7 = -1-2p

8 = -2p

p = -4

I hope this helps!

Ingrid types 3 pages in the same amount of time that Tanya types 4.5 pages. Write a proportion that could be used to find the number of pages Tanya will have typed when Ingrid has typed 11 pages, if they start typing at the same time. Use x to represent the number of pages Tanya has typed.

Answers

Answer:

16.5 pages

Step-by-step explanation:

Number of pages Ingrid types = 3

Number of pages Tanya types = 4.5

The proportion to find how many pages Tanya would have typed (x), if Ingrid typed 11 pages would be as follows:

3 : 4.5 = 11 : x

Thus:

[tex] \frac{3}{4.5} = \frac{11}{x} [/tex]

Cross multiply

[tex] 3*x = 11*4.5 [/tex]

[tex] 3x = 49.5 [/tex]

Divide both sides by 3

x = 16.5 pages

Question 19
The smallest number by which 45 should be multiplied so as to get a perfect square is
(1 Point)
3
05
O 7
O2​

Answers

Answer:

45 * x = 49

x = 49 / 45  = 1.0888888888888...

Step-by-step explanation:

HELP Evaluate the function for x = 2 and x = 7.
h(x)=−4x+61

Answers

Answer:

Step-by-step explanation: not sure why there is two x values can you explain more

The breadth and length of a rectangle are in the ratio 4:5 and its area is
32 sqm. What are the length and breadth?

Answers

Answer:

[tex]length=(\sqrt{40} )m,breadth=\frac{4\sqrt{40} }{5} m[/tex]

Step-by-step explanation:

So the ratio 4:5 relates the length and breadthNow the length is always longer that the breadth so 5 represents the length and 4 the breadthA ratio can be written as a fraction so [tex]4:5=\frac{4}{5}[/tex] Let [tex]l[/tex] mean length and [tex]b[/tex] breadth, so the ratio [tex]b:l=4:5,so,b:l=\frac{b}{l}=\frac{4}{5}[/tex] So if  [tex]\frac{b}{l}=\frac{4}{5}[/tex] then multiply both sides by [tex]l[/tex] and you get [tex]b=\frac{4}{5} l[/tex] Now the equation for area is [tex]area=length*breadth[/tex] or [tex]A=l*b[/tex]Since our breadth [tex]b[/tex] equals [tex]\frac{4}{5} l[/tex] then we substitute for the breadthSo [tex]A=l*(\frac{4}{5}*l)=\frac{4}{5}*l*l=\frac{4}{5} l^2[/tex] so [tex]A=\frac{4l^{2}}{5}[/tex] We know the Area is [tex]32m^2[/tex] so [tex]32m^2=\frac{4l^{2}}{5}[/tex]  so we simplify [tex]5*(32m^2)=5*(\frac{4*l^{2}}{5})\\ 160m^2=4*l^2\\ \frac{160m^{2}}{4}=\frac{4*l^{2}}{4} \\ 40m^2=l^2\\ l^2=40m^2\\ \sqrt{l^{2}} =\sqrt{40m^{2}} \\ l=(\sqrt{40})m[/tex] Now we find the breadth, since [tex]b=\frac{4}{5}*l \\ b=\frac{4}{5}*(\sqrt{40} )m\\ b=\frac{4\sqrt{40} }{5} m[/tex]

What is the slope of the line that contains these points?
x 9 13 17 21
y -24 -21 -18 -15

Answers

Answer: m=3/4

Step-by-step explanation:

Looking at the table given, we can assume two of the points are (9,-24) and (13,-21). To find the slope with given points, we use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. We can plug the two points in and solve.

[tex]m=\frac{-21-(-24)}{13-9} =\frac{3}{4}[/tex]

Now, we know that the slope is 3/4.

Answer:

slope = 3/4

Step-by-step explanation:

PLEASE HELP PLEASE HELP

Answers

Answer:

Step-by-step explanation:

2x^3+x^2-8x-4

(2x+1)(x+2)(x-2)

Stan made changes to
his driving habits and
went from 18 mpg to
22 mpg. What was
Stan's percent
increase in his gas
mileage?

Answers

Answer:

22%

Step-by-step explanation:

Mealworms are a healthy food for wild songbirds. Adam buys a 3.5 oz container of mealworms for 8.75. Marco buys a 3.75 oz container of mealworms for 9.75. Which container is the better deal (Connect Ratios, Rates, and Unit Rates)

Answers

Answer:

Adam's container

Step-by-step explanation:

Adam's: 8.75/ 3.5 = 2.5

Marco's: 9.75/ 3.75 = 2.6

= 2.5

Please help I have no idea what the answer is

Answers

Answer:

x = 25

Step-by-step explanation:

Answer:

x= 25

Step-by-step explanation:

Add 2 given sides then subtract 180

Which of the following is the value of expression 3y+5(x-8) when x=11 and y=2

Answers

Answer:

y=2

Step-by-step explanation:

that is it!!! I hope I'm correct..

Answer:

21

Step-by-step explanation:

Given

3y + 5(x - 8) ← substitute x = 11, y = 2 into the expression

= 3(2) + 5(11 - 8) ← evaluate parenthesis

= 6 + 5 × 3

= 6 + 15

= 21

What is the answer???

Answers

Answer:

3, 11, and 14

Step-by-step explanation:

One side length of a triangle that is selected at random must be smaller than the sum of the other two side lengths and bigger than their difference

one side of this triangle is 4 and the other is 7 so if we call the third side length x

7-3 < x < 7+3 ➡ 4 < x < 11

Other Questions
It takes 111 pounds of seed to completely plant a 12-acre field.How many acres can be planted per pound of seed? !PLEASE HELP ASAP!Ammonium chloride reacts with calcium oxide to produce ammonia, calcium chloride, and water. If 7.4 grams of ammonia are produced, how many grams of calcium chloride are alsoproduced? Suppose that Rosie and Ross are both carriers for PKU (a rare autosomal recessive disease.) If they have eight children, what is the probability that all of eight children will have the same phenotype? pick one of the picture and tell me would you do to take safety,write a paragraph long like 7 or more lines cos(x+y) + cos(x-y) = 2cosx cosy As an estimation we are told 5 miles is 8 km. Convert 7.5 miles to km Write the equation of the line in point-slope form that has slope 3 and passes through (2, -5) PLS HELP. URGENTSerena and Derek have 270 stickers in all. Serena has 25% more stickers than Derek. How many stickers does Derek have? (Type out your work and answer) < 6 7 8 9 10 11 12 13 1415 16Escoge la forma correcta del verbo.Carlosla investigacin en cuanto el campo de arquitecturahareharasharaharanNEXT QUESTIONASK FOR HELPType here to searchBI Read these sentences from paragraph 4. She pouted unhappily the whole day and evening and didn't want to say one word to me. When she woke up the next morning, she still had not forgotten. In these sentences, the author depicts the daughter as - A deceptive B envious Cresentful D reflective he Talley Corporation had a taxable income of $345,000 from operations after all operating costs but before (1) interest charges of $69,000, (2) dividends received of $17,250, (3) dividends paid of $20,700, and (4) income taxes.What are the firm's income tax liability and its after-tax income Arthur Fairchild is accused of breaking into a top secret military installation and tampering with the records. Fairchild claims that at the time of the break-in he was with some friends smoking marijuana. Because that is against the law, his friends do not want to testify on his behalf. Will they have to? Complete with the best present tense form ar verbs yo=o tu=as el,ella,usted =A nosotros, nosotras= amos vosotros, vosotras= ais ellos,ellas,ustedes = an reflexive pronouns me=nos te=os se=se Millions of years ago the Indian plant begin pushing gradually towads the eursian plate the land above started rising in various patterns. Which physical feature most likey resulted from such a motion Factor the polynomial expression 27x^6-8 best answer gets brainliest If We get Mt dna from our Mothers what do we get from our fathers? Which statement summarizes a belief of the Republican Party?A: There should be higher taxes and more public services.B: State and federal elections should be held more frequently.C: There should be lower taxes and less reliance on public services.D:The U.S. House of Representatives is more important than the Senate. - 1/2 - 2/3v = 4/5 please help Benjamin wants to buy a video game that costs $24, but he only wants to spend 40% of his savings. How much must Benjamin save in order to buy the game?