II. The train and roller coaster will arrive back at their stations at the same time. If the train had a .15 mile head start and is traveling at a speed of .65 miles per minute, and the roller coaster is travelling at an average speed of .78 miles per minute, how long before they both arrive at the station?​

Answers

Answer 1

Answer:

1 minutes 9sec

Step-by-step explanation:

given data

Train

let the distance be x

distance covered by train= (15+x)miles

speed of train=65mile per minute

time t=?

we know that speed= distance/time

distance= speed*time

15+x=65t----------------------1

Roller coaster

distance=x miles

speed= 78miles per minutes

time t=?

we know that speed= distance/time

distance= speed*time

x=78t----------------------2

put x=78t in equation 1 we have

15+78t=65t

78t-65t+15=0

13t=-15

t=15/13

t=1.15====1miin 9sec

so it will take 1minutes 9sec


Related Questions

15=5k-13 whats the letter

Answers

Answer:

k= 5.6

Step-by-step explanation:

rewrite the equation by completing the square -2x=x^2 - 6

Answers

I added a photo of the work for you

Sam spends $1200 on his education, which is of his salary. Hiis salary is
$4500.

Answers

Answer:

3200

Step-by-step explanation:

Answer:

3300

Step-by-step explanation:

Hi, I was wondering why (-1)(-1)(-1)(-2) equals 2 but (-2)(-4)(-3) equals -24. Thank you in advance.

Answers

Answer:

-1*-1= 2;2*-1=-1;-1*-2=2

Step-by-step explanation:

negative times neg equals positive

Because when you add negatives together it goes more down because you are adding negatives together. if you add 2 negatives it decreases in value but when you subtract 2 negatives from each other the number increases.

How to find the y axis on a graph

Answers

It’s the vertical axis (up and down)
the horizontal axis is the x axis (left and right)


Zane has a bowl of raspberries and blackberries. There are 2 more raspberries than
blackberries, and there are 18 berries in all. How many blackberries does Zane have?
blackberries

Answers

Answer:

8 raspberries

Step-by-step explanation:

Bailey sold 59 flags at a parade. She has 37 flags left. How many flags did she have before the parade

Answers

Answer:

98 flags

Step-by-step explanation:

59+37=98

the baker's at healthy Breakers can make 210 Bagels in 5 hours how many bagels can they make in 19 hours ​

Answers

Answer:

he can make 798

Step-by-step explanation:

your welcome

Write the absolute value and the opposite values of the numbers listed in the table. 15,-93,56,-87

Answers

Answer:

initial value         opposite value             absolute value

15                                -15                                   |15|

-93                                93                                 |93|

56                                 -56                                 |56|

-87                                87                                   |87|

Step-by-step explanation:

PLEASE HELP
i DoNT get the mathhhh

Answers

You'll have three copies of the red "-x" rectangles to represent -3x

Next, you'll need five copies of the blue squares with the label "1". This represents 5 since 1*5 = 5.

Lastly, you'll need one copy of the purple rectangle that has "y" on it.

All of this forms the expression -3x+5+y

All of these figures will be above the dashed line to be in the positive region.

marcos is making three tile pictures.​

Answers

Answer:

600 tiles

Step-by-step explanation:

310 green tiles and red 310-50=290

so 310 plus 290 =600

If -2a > 6, then _____.

a > -3
a > 3
a < 3
a < -3

Answers

Answer:

a<-3

bc -3(-2)=6

so if u go lower which the next number would be -4(-2)=8 which is greaterthan 6

Step-by-step explanation:

A cube has a side length of 20 in . find the value

Answers

The other side and all the sides should be 20 add them together

can someone help me with this and explain the steps

Answers

Answer:

x intercepts is (-81 ,0)

y intercepts is (0,9),(0,-9)

Step-by-step explanation:

explain determination ......?? ​

Answers

Determination is your will power of doing something. Someone who is determined has the firmness of purpose and the resolve to achieve a goal.

Synonyms:  

resolution, resolve, resoluteness, character.

Antonyms:

weak-mindedness, pusillanimity.

Determination Is A Will of power of something

Urgent! It's due today!

Line A is parallel to line b. If the measures of <2 is 78o, what is the measure of <5?

Answers

The answer is 102 because you subtract 180-78.

Answer:

∠7 = 102°

Step-by-step explanation:

∠2 ≅ ∠6   [Corresponding Angles]

So,

∠6 = 78°

Now,

∠6 + ∠7 = 180°

Where ∠6 = 78°

78° + ∠7 = 180°

∠7 = 180° - 78°

∠7 = 102°

Hope this helped!

~AnonymousHelper1807

HELP ME PLS One table at a bake sale has 150 mini cupcakes. Another table has 180 mini cookies. Wich table allows more square arrangments when all mini cupcakes and mini cookies are displayed? Explain.

Answers

Answer:  step by step equations

Step-by-step explanation:

You have a box that is 2 x 3 x 5 how many cubes does it hold? How do you know!

Answers

30 is this the correct answer


you would multiply all three numbers to find out the answer

How to solve trigonometric functions such as

sin 2x sin x + cos x= 0

Answers

Use the double angle identity:

sin(2x) = 2 sin(x) cos(x)

Now rewrite

sin(2x) sin(x) + cos(x) = 0

as

2 sin²(x) cos(x) + cos(x) = 0

Factor out cos(x) :

cos(x) (2 sin²(x) + 1) = 0

Consider the two cases,

cos(x) = 0   OR   2 sin²(x) + 1 = 0

Solve for cos(x) and sin²(x) :

cos(x) = 0   OR   sin²(x) = -1/2

Squaring a real number always gives a non-negative number, so the second case doesn't offer any real solutions. We're left with

cos(x) = 0

Cosine is zero for odd multiples of π/2, so we have

x = (2n + 1) π/2

where n is any integer.

The solution to 5(x-2)-6=24 is which of the following? Show the steps in your solution process.​

Answers

Answer:

x=8

Step-by-step explanation:

distributive property

5x-10-6=24

adding -10 and -6 which is -16

5x-16=24

add 16 on both sides to cancel the -16

5x=40

than divide 5 to cancel out the 5

x=8

PLLLLLLLLSSSSSS HELLLLLLPPPPPP MEEEEEE Simplify: 29/4

Answers

Answer:

71/4 (I think) is the answer

im not sure srry if its not right

Step-by-step explanation:

I hope this helps!!!

Answer:

7 1/4

Step-by-step explanation:

what is the quotient of 2 1/5 ÷ -1/10​

Answers

Answer:

-22

Step-by-step explanation:

Answer: 22

Step-by-step explanation:

ik bc i got it wrong on the test n is said the answer was 22

A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state the senator represents and compares the approval ratings before the decision to the approval ratings after the decision. Suppose that data were collected for a random sample of 8 cities, where each difference is calculated by subtracting the percent approval rating before the decision from the percent approval rating after the decision. Assume that the ratings are normally distributed. Using a test statistic oft -3.935, the significance level Q=0.05, and the corresponding p-value less than 0.01, draw a conclusion for the appropriate hypothesis test, where the null hypothesis is H. : = 0 and the alternative hypothesis is H. : < 0.
a. Reject the null hypothesis.
b. Fail to reject the null hypothesis.
c. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.
d. The conclusion of the hypothesis test is that there is insufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.

Answers

Complete Question

A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state the senator represents and compares the approval ratings before the decision to the approval ratings after the decision. Suppose that data were collected for a random sample of 8 cities, where each difference is calculated by subtracting the percent approval rating before the decision from the percent approval rating after the decision. Assume that the ratings are normally distributed. Using a test statistic oft -3.935, the significance level Q=0.05, and the corresponding p-value less than 0.01, draw a conclusion for the appropriate hypothesis test, where the null hypothesis is [tex]H_o. :  \mu_d= 0[/tex] and the alternative hypothesis is  [tex]H. : \mu_d < 0[/tex]

a. Reject the null hypothesis.

b. Fail to reject the null hypothesis.

c. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.

d. The conclusion of the hypothesis test is that there is insufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.

Answer:

The correct option is  a and  c

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  8  

    The  test statistics is t =  -3.935

    The level of significance is  [tex]\alpha =  0.05[/tex]

    The  p-value  is [tex]p-value  =  0.01[/tex]

From the data given we see that the [tex]p-value  <  \alpha[/tex] hence

The decision rule is  

  Reject null hypothesis

The conclusion

There is sufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.

   

From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds?
20 bottles
40 bottles
25 bottles
50 bottles

Answers

Answer:

50 bottles

Step-by-step explanation:

8.6×50=430 seconds so that the answer is 50 bottles

Answer:

i belive the answer is 50. correct me if im wrong.

Step-by-step explanation:

In the diagram below m DEF = 115°
Find the measure of GEF​

Answers

115 - 40 = 75
Because 115 is the total and your getting rid of the 40 other degrees in the 115

3(4x-7)=27
how do i solve this ?

Answers

Answer:

x=4

Step-by-step explanation:

3(4x-7)=27

Divide each side by 3

3/3 (4x-7)=27/3

4x-7 = 9

Add 7 to each side

4x-7+7 = 9+7

4x = 16

Divide each side by 4

4x/4 = 16/4

x = 4


Rendell cycles 42 km at an average speed of 18 km/hr. Find the time taken, giving your
answer as a fraction of an hour in its simplest form.

Answers

Answer:

u

Step-by-step explanation:

is 4(x-8)=4x-8 One solution no solution or infinite solutions explain your answer

Answers

Answer:

No solution

Step-by-step explanation:

4(x-8) = 4x-8

Distribute.

4x-32 = 4x-8

Subtract 4x first and get rid of the variable (x).

4x-32 = 4x-8

-4x        -4x

-32 = -8

-32 does not equal -8, so there is no solution!

Have an amazing day!! c:

From car models to colors

Answers

Answer:

green, beige, orange, gold, yellow, and purple were the rarest exterior paint colors.

plz mark brainliest if helpful

The sum of any number and its ______
equals 0.

Answers

Answer:

The sum of the real number (a) and its opposite real number (-a) is zero

Step-by-step explanation:

5 + (-5) = 0 and (-5) + 5 = 0

or, 5 - 5 = 0 and -5 + 5 = 0

Here 5 is real number and (-5) is it's opposite real number. Sum of 5 and (-5) is zero.

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