Wendy took a trip from one city to another, a distance of 580 mi. she traveled part of the way by bus, which arrived at the train station just in time for wendy to complete her journey by train. the bus averaged 40 mi/h, and the train averaged 80 mi/h. the entire trip took 9 1 2 h. how long did wendy spend on the train?

Answers

Answer 1

If he traveled x mi by bus, then the time taken using bus is x/40 hours
and therefore, she took (580-x) mi by train, thus the time taken with train was (580-x)/80 hours.
Hence, x/40 +(580-x)/80 = 9.5 hours
80(x/40) +80 (580-x)/80 = (9.5)80
= 2x + 580-x = 760
x= 760-580
x = 180
Thus the train covered a distance of (580-x) =580-180 = 400
Hence, Wendy took 400/80 = 5 hours on the train

Related Questions

Determine whether each triangle with sides of given lengths is a right triangle. Hint: Set a2+b2=c2a2+b2=c2 If One side is equal to the other, then it's a right triangle. It sides are not equal, then it's not a right triangle. a = 6 cm b= 8 cm c = 10 cm

answers yes or no

Answers

a = 6
b = 8
c = 10 will produce a rt angle triangle.

a^2 + b^2 = c^2
6^2 + 8^2 =? 10^2
36 + 64 = ? 100
100 = 100 so the answer is yes to this part.

an internet passcode consists of a digit followed by a letter, followed by another digit. Assuming the digits are 0-9, how many different passcode are possible?

Answers

There are 10 single-digits (0 through 9) and 26 letters (A through Z)

For the first slot there are 10 choices which represents selecting a single digit
For the second slot there are 26 choices because we choose a single letter here.
Finally there are another 10 choices for the third slot (assuming repeats are allowed)

Multiply the values out: 10*26*10 = 260*10 = 2600

Answer: 2600

Answer:

2600

Step-by-step explanation:

Suppose that G(x) = F(x - 8). Which statement best compares the graph of G(x) with the graph of F(x)? apex
A.The graph of G(x) is the graph of F(x) shifted 8 units to the right.
B.The graph of G(x) is the graph of F(x) shifted 8 units to the left.
C.The graph of G(x) is the graph of F(x) shifted 8 units up.
D.The graph of G(x) is the graph of F(x) shifted 8 units down.

Answers

Answer:

Step-by-step explanation:

The graph of G(x) = F(x - 8) is the graph of F(x) shifted 8 units to the right, option A.

When comparing the graph of G(x) = F(x - 8) with the graph of F(x), we note that there is a horizontal shift involved. Following the rules for transformations, subtracting a positive constant from the independent variable x results in shifting the graph to the right by that constant. Therefore, the statement that best compares the graph of G(x) with the graph of F(x) is: The graph of G(x) is the graph of F(x) shifted 8 units to the right, option A.

This is similar to the effect observed when comparing the functions f(x) and f(x - 2), where the latter's graph is a rightward shift of the former's graph by 2 units.

please help understand this and get it done.

Answers

You have an odd number of minus signs in your problem statement. You need an odd number of minus signs in your answer.

The 1st, 3rd, and 5th selections are appropriate.

Can someone help me...?

Answers

1. (x, y) = (7, -12)

2. x = 1, x = 2 are both solutions

What is the slope of the line 3x + 4y = -11?

answers:
3\4
-3\4
3
4

Answers

you need to make it in the form of y=mx+b, and m will be the slope
so...
3x-4y=7
subtract 3x from both sides
-4y=-3x+7
then divide both sides by -4
y=(3/4)x-7/4

so the slope is 3/4

Final answer:

To find the slope of the line given by 3x + 4y = -11, the equation is rearranged into the slope-intercept form, yielding a slope (m) of -3/4.

Explanation:

The question asks: What is the slope of the line 3x + 4y = -11?

To find the slope of the line, we first need to rearrange the equation into the slope-intercept form, which is y = mx + b, where m is the slope, and b is the y-intercept. Starting with the given equation

3x + 4y = -11

We isolate y on one side by first moving 3x to the right side of the equation, and then dividing everything by 4:

4y = -3x - 11y = (-3/4)x - 11/4

Now, in the form of y = mx + b, it's clear that the slope (m) of the line is -3/4.

Jessica needs 54 cupcakes for her party. They come in packs of 10.how many packs does Jessica need ?

Answers

6 packs. there will be 6 extra cupcakes

Follow below steps:

To determine the number of packs Jessica needs for 54 cupcakes:

Divide the total number of cupcakes by the number of cupcakes in each pack: 54 ÷ 10 = 5.4

Since Jessica cannot buy a fraction of a pack, she needs to round up to the nearest whole number. Therefore, Jessica needs 6 packs of cupcakes.

If triangle ABC has sides of lengths 6,10,and x, between which two numbers must the value of x lie

Answers

The sum of two sides of a triangle must be more than the length of the third side. 6+4 = 10 so x must be greater than 4. 6 + 10 = 16, so x must be less than 16
4<x<16
x is between 4 and 16.

Carla borrowed $1,400 for three months at 9.75% interest. How much
interest did she pay for the loan?
a. $34.13
b. $49
c. $136.50
d. $1,547

HELP ASAP (ANSWER IS NOT D)

Answers

Carla paid $34.13 as interest for the $1,400 loan at 9.75% for three months that is option A is the correct answer.

The interest Carla paid for the loan is $34.13.

Calculate the interest using the formula: Interest = Principal x Rate x Time.

Substitute the values for Principal, Rate, and Time into the formula to find the interest amount.

For Carla's loan ($1,400 at 9.75% for three months), the interest is calculated to be $34.13.

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.

Answers

We must solve the system in order to find an answer.
Let's solve the system of equations:
[tex]x + y = 24\\ 3x + 5y = 100[/tex]
Now let us multiply the first equation by -3:
[tex]x + y = 24/\cdot(-3)\\ 3x + 5y = 100\\ --------\\ -3x-3y=-72\\ 3x + 5y = 100 [/tex]
We add those two equations together( 3x-3x will cancel out):
[tex]-3x-3y=-72\\+ 3x + 5y = 100\\ --------(+)\\ 2y=28\\ y=14 [/tex]
Now we simply plug y=14 into any of the starting equations to find x:
[tex]x + y = 24\\ x+14=24\\ x=10[/tex]
The answer is B:
The test contains 10 three-point questions and 14 five-point questions.

The answer to your question is B :)

Please help!? I'll give you a medal:D

1. a tessellation is a ___________________ pattern of figures.
A. Reflecting
B. Repeating
C. Symmetrical.

2. A tessellation has no _______
A. Gaps and overlays
B. translations
c. repeated figures.

Answers

A tessellation is a repeating pattern of figures that has no gaps or overlays.

Hope this helped!

A tessellation is a Repeating pattern of figures. A tessellation has no gaps or overlays. In geometry, sometimes we are scared to commit to such a pattern of consistency. THis pattern is a beautiful one, that when done right, can give you much more than you asked for. Geometry, a wonderful thing!!!

Find the angle with a tangent ratio of 0.9325

Answers

To find the angle with a given tangent, use the inverse tangent.
Putting tan⁻¹ (0.9325) in the calculator gives us a value of 42.9995 ≈ 43°. Double check by using the calculator for tan(43). You get a value of 0.9325.

Answer:

B. 43

Step-by-step explanation:

Complete the table. Original Price Percent 112 of Discount 32% Sale Price

Answers

I'm guessing you mean the original price is $112 and there is a discount of 32%. First you want to find how much the discount is, 32% of $112. 'of' means multiplication.

32% * 112

0.32 * 112

35.84

So there is a $35.84 discount, subtract this from the original price to find the price after discount:

$112 - $35.84 = $76.16

So the price after discount is $76.16.

Answer:

$76.16

Step-by-step explanation:

$76.16

Which of the following is true about the polynomial 4x^3 - 2x? Select all that apply.

A. The polynomial has two terms.

B. The polynomial is a fourth degree polynomial with the appropriate third or fourth terminology replacement.

C. The polynomial has a leading coefficient of 3.

D. The polynomial is written in standard form.

Answers

A. The polynomial has 2 terms: "4x^3" and "-2x".

B. The polynomial is 3rd degree, the degree of the first term. We don't know what a "terminology replacement" is supposed to be. It seems to be nonsense.

C. The leading coefficient is the coefficient of the first term. It is 4.

D. Standard form has the terms in descending order of degree. This polynomial is written in standard form.

Selections A and D are appropriate.

PLEASE HELP!!!! :(
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is 17°31'. When the boat stops, the angle of depression is 46°41'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place.

Answers

The tangent of the angle gives the ratio of the height of the lighthouse to the boat's distance
.. tan(angle of depression) = (lighthouse height)/(boat distance)
Then the distance to the boat is
.. boat distance = (lighthouse height)/tan(angle of depression)

We want to find the difference between two distances, so
.. boat travel = (lighthouse height)*(1/tan(first angle) -1/(tan(second angle))
.. = (200 ft)*(1/tan(17°31') -1/tan(46°41'))
.. ≈ 445.10 ft

Final answer:

By using the tangent function and the angles of depression given, we can calculate the distances from the boat to the lighthouse when it was first spotted and when it stopped. Subtracting the second distance from the first gives us the distance the boat traveled.

Explanation:

This is a question about Trigonometry, involving the concepts of angles of depression and distances. In the situation presented, we are given the height of the lighthouse (200 feet), and two angles of depression - 17°31' when the boat was first noticed and 46°41' when the boat stopped. We can use the tangent function to calculate the distance from the lighthouse to the boat at these two points, then subtract these distances to find how far the boat traveled.

The tangent of an angle in a right triangle is equal to the opposite side divided by the adjacent side. Therefore, when the angle of depression was 17°31', we can use the equation tan(17°31') = 200/distance1 to solve for the first distance. Similarly, for the angle of depression 46°41', we use the equation tan(46°41') = 200/distance2.

Solving these two equations separately will give us the distances from the boat to the lighthouse at these two moments. Then we subtract distance2 from distance1 to get the distance the boat traveled.

Learn more about Angles of Depression here:

https://brainly.com/question/11348232

#SPJ11

Simplify by using radical. Rationalize denominators.
[tex] 2a^{-1/2} [/tex]

Answers

[tex]2a^{- \frac{1}{2} }= \cfrac{2}{a^{ \frac{1}{2} }} = \cfrac{2}{ \sqrt{a} } = \cfrac{2 \sqrt{a} }{a} [/tex]

Answer:

[tex]\frac{2\sqrt a}{a}[/tex]

Step-by-step explanation:

The given equation is [tex]2a^{-1/2}[/tex]

The exponent rule: [tex]x^{-a}=\frac{1}{x^a}[/tex]

Using this rule, we get

[tex]2a^{-1/2}\\\\=\frac{2}{a^1/2}[/tex]

We can rewrite this in radical form as

[tex]\frac{2}{\sqrt a}[/tex]

Rationalize the denominator by multiplying numerator and denominator by [tex]\sqrt a[/tex]

[tex]\frac{2}{\sqrt a}\cdot \frac{\sqrt a}{\sqrt a}[/tex]

On simplifying

[tex]\frac{2\sqrt a}{a}[/tex]

Write an inequality to represent the situation: The temperature stayed above -15 degrees. Help!

Answers

Answer:

Temperature t > -15 degrees.

Step-by-step explanation:

Let t denote the temperature.

The inequality sign for above or greater is >. The inequality sign for less than is <.

It is given temperature stayed above -15 degrees.

This can be written in inequality form as t> -15 °(degrees)

The inequality to represent the temperature is t > -15°C

Given data:

To represent the situation where the temperature stayed above -15 degrees, the inequality symbol used is ">".

In an inequality, the ">" symbol means "greater than." By using this symbol, the temperature needs to be greater than -15 degrees.

The inequality representing this situation is:

Temperature > -15°C

So, t > -15°C

If the temperature is higher than -15 degrees, the inequality is true.

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ6

What is the solution to the equation 5x = 40?

Answers

To find X, we can divide 5 into 40.
40 divided by 5 is 8.
Now we can do 5 x 8. That is 40.

X=40

OR we can do it another way.
40 divided by 5 is 8.
Cross out 5 divided by 5.

Now we have 8. Still.
X is 8

Hello,

The answer is "x=8".

Reason

5x=40=40/5

40/5=8

x=8

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

What is the sum of the first 7 terms of the series −8+16−32+64−

Answers

Lets Get started :)

The terms given are
- 8 , + 16 , - 32 , + 64

The formula for finding the sum of this geometric sequence is:

Sn = [tex] \frac{a1(r^n - 1)}{r -1} [/tex]
a₁ = first term of sequence = -8
r = common ration = -2
n = term of sum we need to find = 7

Sn = [tex] \frac{-8((-2)^7 - 1)}{-2-1} [/tex]
= -344

There is also another way, by simply adding, but you cannot perform this when they ask for a larger terms sums

Each term are multiplied by - 2, so to find the rest of the terms, we multiply by - 2

+ 64 x - 2 = - 128
- 128 x -2 = + 256
+256 x - 2 = - 512

( - 8 ) + ( 16 ) + ( - 32 ) + ( 64 ) + ( - 128 ) + ( 256 ) + ( - 512 ) (first 7 terms)
= -344

-8 + 16 + -32 + 64 + -128 + 256 + -512 (These are the first 7 terms) The total = -344

Construction is under way at an airport. This map shows where the construction is taking place. If Road A and Road B are parallel, what is the distance from P to Q on Road C?433 feet

975 feet

1,050 feet

1,477 feet

Answers

For this case we observe that we have a problem of similarity of triangles.
We can then use the following relationship to solve the problem:
[tex] \frac{650+x}{800+1200} = \frac{650}{800} [/tex]
From here, we clear the value of x.
We have then:
[tex] 650+x = \frac{650}{800}(800+1200) [/tex]
Rewriting we have:
[tex] 650+x = \frac{650}{800}(2000) [/tex]
[tex] 650+x = 1625 [/tex]
[tex] x = 1625 - 650 [/tex]
[tex] x = 975 feet [/tex]
Answer:
the distance from P to Q on Road C is:
[tex] x = 975 feet [/tex]

Answer:

if your asking for plato it will be B

Step-by-step explanation:

got it correct just now

Find the area of a circle with a circumference of 2pi Either enter an exact answer in terms of 3.14 pi or as a decimal

Answers

C = 2 π r
2 π = 2 π r
r = 1
so
A = π r^2
A = 3.14 x 1^2
A = 3.14

answer
A = 3.14

A animal shelter has 16 puppies. If the puppies are 32% of the total dogs and cats population, how many dogs and cats are in the animal shelter?

Answers

32%=16
100%=[tex] \frac{100}{32} *16=50animals[/tex]

The total number of animals in a shelter is 50 and number of cats in the shelter is 34.

Given that, a animal shelter has 16 puppies. If the puppies are 32% of the total dogs and cats population.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let x be the total number of dogs and cats are in the animal shelter.

So, 32% of x=16

⇒ 32/100 ×x=16

⇒ 0.32x=16

⇒ x=16/0.32

⇒ x=50

So, number of cats =50-16

= 34

Therefore, the total number of animals in a shelter is 50 and number of cats in the shelter is 34.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ5

Lucy watched TV for 25 of an hour on Monday. She watched 79 of an hour on Tuesday. What day did she spend more time watching TV?

Answers

Hello there,

Lucy watched more TV on Tuesday.

This is because 1 hour = 60 minutes.

so, 25% of 60 min = 15 min on Monday

and, 79% of 60 min = 47.7 min rounded gives 48 minutes on Tuesday...

Hope this answer helps. Good luck.

On a game show, a contestant randomly chooses a chip from a bag that contains numbers and strikes. The theoretical probability of choosing a strike is 15. The bag contains 8 strikes. How many chips are in the bag?

Answers

Final answer:

To find the probability of selecting 3 green marbles out of 10, use the combinations formula. The calculation involves 455 * 6435 divided by 1027227812 to determine the probability.

Explanation:

To calculate the probability of choosing exactly 3 green marbles out of 10 selected, we use the concept of combinations. The formula for combinations is nCr = n! / r!(n-r)!. In this case, the calculation would be 15C3 * 35C7 / 50C10, which simplifies to 455 * 6435 / 1027227812, resulting in the probability of choosing exactly 3 green marbles out of 10 selected.

6.The Polygon Similarity Postulate states that two polygons are similar if and only if there is a correspondence between their angles and their sides so that all corresponding angles are and all sides are proportional. _________
7.Similar figures have the same shape but are not necessarily the same size.

True
False

8.A directed line segment partitioned with a ratio of 4:3 would be divided into how many equal parts.

4

3

7

12

9.The ratio of the length of a side of an image to the length of the corresponding side of its pre-image is called the scale factor.

True
False

10.All properties of Proportions are valid, given that there is no ______________ in the denominator of the fraction representing the ratios.

Answers

6. angles are equal
7.True
8.True
9. Zero

6. Angles are equal and sides are proportional to similar figures
7. They can be the same size and they would be congruent but if they are proportional they would still fir the definition of similar polygons
8. all sides when multiplied by the scale factor change by that ratio.
9.A zero in a denominator is renders it undefined.

helpppppppppppppppppp

Answers

y = e ^ (4x)
For this case what you should see are the values that the function takes when substituting any value of y.
We have then that the function will always be greater than zero.
Therefore the rank of the function is:
y> 0
Answer:
y> 0
option 2

Answer:
y > 0

Explanation:
The range is defined as all the possible values for the y.
We know the exponential function never gives a negatives zero. It also doesn't give a zero value.
This means that whatever the value of the power of the exponent is, the answer would always be a positive value greater than zero

Hope thus helps :)

Find the value of x in the triangle shown below?

A. 44°
B. 29°
C. 107°
D. 90°

Answers

c. 107 44+29=73 180-73= 107

The sum of All the internal angles of triangle equals to 180 degree
So you can sum the one that are given and subtract 180 from them to find x which is 107

Help me please!!!!!!!

Answers

You need to split the shape up into separate pieces so you can find their areas easily. I have shown this and the working out in the picture.
To find the measurements of the sides of the triangles, I just did 7-6=1 and 14-8=6 to find the missing lengths. So, your answer is 90 units^2

Pls, answer!! I will mark the 1st person to answer correctly with work as brainliest for 20 points!

Answers

Lets get started ;)

[tex] 8\frac{1}{3} [/tex] = [tex] \frac{25}{3} [/tex]
[tex]2 \frac{1}{3} [/tex] = [tex] \frac{7}{3} [/tex]
8.1 = [tex] \frac{81}{10} [/tex]

(When you divide by a value/fraction, you can multiply by its reciprocal)

[tex] \frac{25}{3} [/tex] × [tex] \frac{1}{x} [/tex] = [tex] \frac{7}{3} [/tex] × [tex] \frac{10}{81} [/tex]

[tex] \frac{25}{3x} [/tex] = [tex] \frac{70}{243} [/tex]

We can cross multiply :)

25 × 243 = 3x × 70
6075 = 210x

We can divide by on either side to isolate x and thus find its value

[tex] \frac{6075}{210} [/tex] = [tex] \frac{210x}{210} [/tex]

210 and 210 cancels out on the right-hand side

[tex] \frac{405}{14} [/tex] = x

ABCD is a rectangle. Find the length of each diagonal.

Answers

Answer: The correct answer is 3

Step-by-step explanation:

C = 3

AC = 3/3 = 1

BD = 4 - 3 = 1

The length of each diagonal is 12/5. This demonstrates that in a rectangle, the diagonals are always equal in length.

In a rectangle, the diagonals are equal in length. Therefore, we can equate [tex]$AC$ and $BD$[/tex].

Given [tex]$AC = \frac{C}{3}$ and $BD = 4 - C$[/tex], we set them equal: [tex]$\frac{C}{3} = 4 - C$[/tex]. Solving for $C$ yields [tex]$C = \frac{12}{5}$[/tex].

Substituting this value back into either [tex]$AC$ or $BD$[/tex] gives us the length of the diagonals.

Thus, the length of each diagonal is [tex]$AC = BD = \frac{12}{5}$[/tex]. This demonstrates that in a rectangle, the diagonals are always equal in length.

Other Questions

Which of the following instruments focuses light through two lenses at once to magnify a cell? Compound microscopeORRRElectron microscope What makes plants the beginning of the food chain? A. Plants store chemical energy as glucose B. Only plants use solar energy in a chemical process to produce foodC. All organisms eat plants D. Plants make food for other organisms. Which ordered pair would form a proportional relationship with the point graphed below? mc012-1.jpg The equation p=50 +10n gives the admission price p to wind world for a group of n people. A club's budget have $500 set aside for a visit to the park. How many club members can go Look at the meanings of the word "antisocial" and two other words that contain the Latin word root "soci-" or "socio-". Based on these words and their meanings, what does "soci-" or "socio-" MOST likely mean? "Companionship; people living together in a community Sociology: The study of how groups of people are organized and interact Antisocial:Not wanting to be with others; harmful to the community"A.organized study B.living with others C.dislike or distaste D.harmful effects What was the final order that Chris placed at the pizza shack When a developmentalist observes an infant showing flexibility with respect to the proximity he seeks and maintains between himself and his caregiver, and the infant remains calm while playing, the developmentalist would likely describe this infant as ______________ attached? According to the cognitive labeling view of emotions, what occurs second? Find the nth term of the sequence-3, 0, 5, 12Work out the reciprocal of 2 x 10(9,as a power). Give your answer in standard form. !!!!!!!_MATCH_!!!!!!!1.Venturers A-a trip to Rio 2.Centrics B-a safari through Kenya 3.Dependables C-Visiting Friends and Relatives (VFR) In 1990, why did Saddam Hussein invade Kuwait?to overthrow a ruthless dictatorto launch a war against Saudi Arabiato evict American forces from the Middle Eastto take over the nations rich oil deposits In an attempt to gain control of the working class, Bismarck did which of the following?attempted to suppress the Catholic Churchoffered benefits such as health careregulated industry to increase productionattempted to suppress the Socialist party Help with math please I'm helping my daughter What is a common way to correct nearsightedness Eight more than the quotient of a number and 4 equals 5 Explain how to estimate the product of 18.3(6.37). A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales? Enter your answer in the box. Describe Americas transformation into an arsenal of democracy. What new and lasting technologies were developed? What did these technologies come to symbolize? A section of three nucleotides beside one another is referred to as a?A.CodonB. HelixC. RiboseD. Anticodon A baseball is launched horizontally from a height of 1.8 m. The baseball travels 0.5 m before hitting the ground.How fast is the baseball moving, rounded to the nearest hundredth? m/s