Jenny traveled to Louisville at 68 miles per hour. On the way back she took the scenic route and drove 56 miles per hour. The way back was 17 miles longer and took one hour longer to drive than the way to Louisville.
a) How many hours did it take to drive to Louisville
b) How long is the scenic route from Louisville.

Answers

Answer 1

The hours did it take to drive to Louisville-3.25 hours

The long is the scenic route from Louisville. 237miles

Jenny traveled to Louisville at 68 miles per hour

Let d is the distance travelled to Louisville and t is the time taken.

68= d/t

On the way back she took the scenic route and drove 56 miles per hour.

distance of way back= d+ 17

time taken=t+1

56=(d+17)/(t+1)

on solving both the equations

t=3.25 hours

d=221miles

scenic route from Louisville is at d+17= 237miles

In everyday use and in kinematics, the velocity (generally called v) of an object is the significance of the trade of its role through the years or the significance of the alternate of its position in step with unit of time; it's miles as a result a scalar quantity.

[1] The average velocity of an item in an interval of time is the gap travelled by using the object divided by using the duration of the interval

[2] the on the spot pace is the restrict of the average velocity as the period of the time c programming language procedures zero. speed isn't similar to pace.

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Related Questions

7/9 + 4/5 simplest form

Answers

Answer:

71/45

Step-by-step explanation:

Fraction: 71/45

                 OR

Decimal: 1.57

                OR

Mixed Fraction: 1 26/45

389x89 i really Need help . Show work pls

Answers

Answer: the answer would be 34621

Step-by-step explanation:

Answer:

34,621

Step-by-step explanation:

Well as it may look hard it is simpler than you think

389*89 looks like a big number right? lets break it down into small pieces!

lets split up 389 into hundreds, tens, and ones.

So that will make it 300, 80, and 9!

Since we have to make 89 more of those numbers, lets try out a simple number in there!

Lets look at 9*89

9*9= 81

9*80=720

This means the answer is 801!

we will use this number later!

Now lets move on to 80*89!

80*9=720

80*80=6400

We will get 7120 if we add them!

we will also use that number later!

Now finally, 300*89!

300*80=24000

300*9=2700

We will get 26700!

Now finally, we add up all the three answers we got!

801 + 7120 + 26700 = 34621

This means the final answer is 34,621! I hope this helps!

Write the fraction below as a
percent. Round your percent to the
nearest tenth if necessary.
6
50

Answers

Answer - 12%

6/50 = 12/100

Solve by factoring:
x3+3x2+9x+27=0

Answers

Answer:

x = −3,3i, −3i

Step-by-step explanation:

Question 3(Multiple Choice Worth 2 points) (Order of Operations with Radicals LC) Simplify the expression. 20(6) − 7 113 20 −20 −113

Answers

The simplified value of the expression will be -824.

What is algebraic expression ?

An algebraic expression in mathematics is made up of variables, constants and operations such as addition, subtraction, etc.

Given that the expression is 20 × (6) − (7 × 113 × - 20) − 20 − 113.

Now , we will simplify the above expression using PEMDAS rule , which follows the order that is parentheses, exponents, multiplication, division, addition, subtraction.

So , if we solve the expression we will get ,

= (20 × 6) − (7 × 113) - 20 − 20 − 113

Firstly , solve terms which are in parentheses.

= 120 - 791 - 20 - 20 - 113

Now , we will add all the negative terms.

= 120 - 944

Now , subtracting both numbers.

= -824

Thus , the simplified value is equal to -824.

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En una región productora de citricos se Produce una
Fuente helada que daña la cosecha Y, como resultado, sube
el precio de la naranja ¿el precio de equilibrio del zumo
de la naranja subirá,bajará o se mantiene constante?
¿Y como se comportara to cantidad de equilibrio?
elabora un diagrama con los curvas de oferta y
demanda que explique tu respuesta.

Answers

Step-by-step explanation:

En una región productora de citricos se Produce una

Fuente helada que daña la cosecha Y, como resultado, sube

el precio de la naranja ¿el precio de equilibrio del zumo

de la naranja subirá,bajará o se mantiene constante?

¿Y como se comportara to cantidad de equilibrio?

elabora un diagrama con los curvas de oferta y

demanda que explique tu respuesta.

True or false every rational number is a real number

Answers

Answer: TRUE

Step-by-step explanation:

Yes, every rational number is a real number. All numbers go into the real number system, including rational numbers. So the answer is true.

Hallar las
coordenadas
del punto B (x,x
- 2) y A (2,-4),
el valor de la
pendiente es
4/3.

Answers

Coordinates of point B is (-2,-6) which gives the slope of 4/3.

What is slope ?

The slope formula is m=(y2-y1)/(x2-x1)

4/3 = (xy-2y-xy)/ (-4-2)

4/3 = -2y/ -6

2y = 12

y = 6

by comparing numerators x = -2

The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line. The origin for this usage is unknown, however it may be found in O'Brien's (1844) and Todhunter's (1888) formulations of the equation for a straight line.

The ratio of the "vertical change" to the "horizontal change" between (any) two unique points on a line is used to compute slope. The ratio may occasionally be written as a quotient ("rise over run").

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Chen says the product of 4x0 is the same as the sum of 4+0. Is Chen correct? Explain.

Answers

Answer:

No

Step-by-step explanation:

The product of zero and any number is zero. Basically, if you multiply any number with zero, you get zero. Hence, 4*0=0. However, anything added with zero is itself since you're basically not adding anything to that number. For example, nothing is being added to 4 in '4+0', so 4+0=4.

4*0=0

4+0=4

0[tex]\neq[/tex]4

what is 9/8 times 3/8

Answers

9 times 3 / 8 times 8 = 27/64


Can somebody help me if you know what this is

Answers

Answer:

-2.5, -7/3, |-2|

Step-by-step explanation:

-2.5 = -2.5
-7/3 = -2.333333333...
|-2| = 2

middle then first then last is least to greatest

What is the measure of an exterior angle of a regular ten-sided polygon?

Answers

Answer:

36 each and 360 for all exteriors

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

36 x 10 ( how many sides a decagon has) = 360 degrees

At the beginning of a chemistry experiment, the volume of liquid in a container was 3.2 milliliters. During the experiment, the volume dropped to milliliters. Find the percent of decrease.

Answers

The percentage decrease is 43.75%

How to calculate the percentage?

Initial volume = 3.2 millimeters

After experiment volume = 1.8 millimeters

Reduction = 3.2 - 1.8 = 1.4 millimeters

Therefore the percentage decrease will be:

= Reduction/Initial value × 100

= 1.4/3.2 × 100

= 43.75%

Therefore, the percentage decrease is 43.75%

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At the beginning of a chemistry experiment, the volume of liquid in a container was 3.2 milliliters. During the experiment, the volume dropped to 1.8 milliliters. Find the percent of decrease.

Don't know where to start.... please help!

Answers

Start by finding the volume of the rectangular prizm. That would be 17•13•8=1768. Next find the volume of the trapezoidal prizm. The trapezoid would be 1/2(6+17)•14=161cm squared but you need to find the volume. So do 161•13=2093

2093+1768=3861

Answer = 3861cm cubed

a bottle of wine costs $20. if the wine is $5 more than the bottle, how much is the bottle?​

Answers

Answer: the bottles cost is 15$

Step-by-step explanation:

Answer:

Step-by-step explanation:

if the wine bottle is $20 and the bottle is $5 less, then 20-5=15.

The bottle costs $15

The sum of 6 times a number is x and 10 is36 write and solve an equation to find the number x

Answers

Answer:

13

Step-by-step explanation:

Please help!
Let z=3. Evaluate the expression.

4z - 15


12

-3

28

3

Answers

Answer:

-3 is the answer because the variable Z represents 3. we have to multiply 4 by 3 which represents Z.

Step-by-step explanation:

= 4*3 - 15

= 12 - 15

= -3

The ratio of working-age population to the elderly in the United States (including projections after 2000) is given by the function below, with t = 0 corresponding to the beginning of 1995.†
$$ f(t) = \left\{
\begin{array}{rcl}
4.1 & \mbox{if} & 0 \le t < 5\\
-0.03t+4.25 & \mbox{if} & 5 \le t < 15\\
-0.075t+4.925 & \mbox{if} & 15 \le t \le 35\\
\end{array}
\right. $$
(a) Sketch the graph of the function f. When sketching the function, make sure you pay attention to whether each section of the graph starts and ends with open or closed circle.

Answers

The graph of the function f. When sketching the function, make sure you pay attention to whether each section of the graph starts and ends with open or closed circle.

[tex]F(t)= \begin{cases}4.1 & 0 \leqslant t < 5 \\ -0.03 t+4.25 & 5 \leqslant t < 15 \\ -0.075 t+4.925 & 15 \leqslant t \leqslant 35\end{cases}[/tex]

Ratio[tex]$=f(9)=-0.03(9)+4.25=3.98$[/tex]

Year 2020 corresponds to t=25

Ratio [tex]$=f(25)=-0.075(25)+4.925=3.05$[/tex]

c. Ratio is constant when t lies in [0,5] ic., in the years [1995,2000]

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.

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Select the correct answer. What is this expression in simplified form? ( 6√2 ) ⁢ ( − 3√5 )
A.-90
B.-18√10
C.-18√7
D.3√7

Answers

It’s B :) hope this helps

Answer:

the answer is B because the 6 is multiplied by the -3 and the rot 5 is multiplied by root 2

Graph y = 5.
Answer??

Answers

Answer is in the image below . -

12. Which of the following is a false statement?
A. Natural numbers are closed under division.
B. Integers are closed under subtraction.
C. Even numbers are closed under multiplication.
D. Real numbers are closed under addition.

Answers

Answer:

A

Step-by-step explanation:

A company has earnings before interest and taxes of $1,500,000, its tax rate is 40 %, interest is 30% of its total debt of $600,000, and lease payments are
$50,000. What is the company's times interest earned ratio?
3.8 times
8.3 times
O 5 times
4 times

Answers

The company's times interest earned ratio is 8.3 times

How to calculate the company's times interest earned ratio ?

Company interest time ratio can be described as the measurement of how well an organisation is pay off their debts based on the amount of income generated by the company.

Company times interest ratio= earnings before interest/total debt × tax rate

= 1,500,000/600,000 × 0.30

= 1,500,000/180,000

= 8.3

Hence the company's times interest earned ratio is 8.3

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Can somebody please help me

Answers

Answer:

Step-by-step explanation:

Check out the attached photo

Write an equation in slope intercept form that’s Perpendicular to y=1/4x+2, and passes through (0,0)

Answers

The equation which is perpendicular to the given equation as in the task content is; y = -4x + 0.

Perpendicular lines

It follows from the task content that the line given is; y=1/4x+2.

It follows that the slope is; 1/4 by comparison with the slope-intercept equation; y = mx +c.

Since the required equation is perpendicular; it follows that the products of the slopes must be equal to; -1.

Hence, m × (1/4) = -1

m = -4.

Since, the point, (0,0) is the y-intercept, it follows that the required equation is; y = -4x + 0.

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mx=n+p ,for x

step by step aswell please

Answers

The solution for x from the linear equation is x=(n+p)/m .

Linear equation is a equation where the greatest degree of the variable is 1 in the equation.

A basic linear equation in the variable x is of the form ax+b =0 where b is a constant and a is the co-efficient of x.

To solve a linear equation for x we use the simple mathematical operations to make x the subject of the formula.

Given equation is:

mx=n+p

We have to find the value of x.

So we can see that the variable x has a constant co-efficient m

to make x the subject we divide both sides of the equation by m.

Therefore:

mx÷m=(n+p)÷m

or, x=(n+p)/m

So on solving the linear equation we get the value of x as (n+p)/m

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Which is an expression of degree 4 quadratic term with coefficient of 10.

Answers

Answer: think that it is four

Step-by-step explanation: but i don't know because  i looked it up

Write the following expression using the fewest possible terms. (−4x − 15) + (17 + 7x)

Answers

Answer:

3x +2

Step-by-step explanation:

Write the following expression using the fewest possible terms.

(−4x − 15) + (17 + 7x) =

-4x -15 + 17 + 7x=

3x +2

If 2log3 Y + log3 x² = 4. find y​

Answers

Answer:

Step-by-step explanation:

9/x

HELP . Gilligan sees a ship coming close to the shore he's standing on. He wants to

determine the distance (segment SD) from the ship to the shore. He walks 130 ft along the shore from point D to point C and marks that spot. Then he walks 23 ft further and marks point B. He turns 90° and walks until his location (point A), point C, and point S are collinear. Answer the following questions making sure to show all your work.

(a) Can Gilligan conclude that triangle ABC and triangle SDC are similar? Why or why not?

(b) Suppose AB = 50 ft. What is the distance from the ship to the shore? Show all your work and round your final answer to the nearest tenth of a foot.​

Answers

The distance (segment SD) from the ship to the shore and  Gilligan sees a ship coming close to the shore he's standing on.

The triangles ABC and SDC are similar.

Gilligan may deduce that triangles ABC and SDC are comparable.

Gilligan may deduce that the ship's distance from the cost is 509 feet.

The triangles ABC and SDC are similar.

Gilligan may deduce that triangles ABC and SDC are comparable.

Gilligan may deduce that the ship's distance from the cost is 509 feet.

We may deduce from the question that points S, C, and A are collinear, whereas lines AB and SD are vertical and parallel lines on either side of point C.

As a result, Gilligan may deduce that triangles ABC and SDC are comparable.

How to Determine SD Distance

To do this, we employ the corresponding ratio shown below.

90 should be substituted for AB.

Calculate as a fraction

Make SD the topic.

As a result, Gilligan may deduce that the ship's distance from the land is 509 feet.

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What are two different ways to describe the relationship between the values of each digit 8 in 3.884

Answers

Answer: 8 is 10x bigger than 8 8 is 10x less than 8

Step-by-step explanation:

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