Two trains leave a train station at the same time. One travels north at 12 miles per hour. The other train travels south at 9 miles per hour. In
how many hours will the two trains be 88.2 miles apart?
O 4.7 hours
O 4.2 hours
O 2.1 hours
O 8.4 hours

Answers

Answer 1

Answer:

4.2 hours

Step-by-step explanation:


Related Questions

A grocery store recently sold 6 cartons of vanilla yogurt and 12 other cartons of yogurt . Based on past data, how many of the next 48 cartons of yogurt sold should you expect to be vanilla?

Answers

The store sold 18 cartons of yogurt…6 (1/3) were vanilla, 12 (2/3) were other flavors. If the store sells 48 more cartons of yogurt, you would expect 1/3 of them to be vanilla…1/3 x 48 = 16 cartons vanilla.

Select the correct answer.
The variable g varies directly as the cube root of h. If g=128 when h=8, which equation can be used to find other combinations of g and h?
[tex]g \sqrt[3]{h} = 256[/tex]
[tex]g = 64 \sqrt[3]{h} [/tex]
[tex]gh = 1024[/tex]
[tex]g = 16h[/tex]

Answers

the second equation is correct

Step-by-step explanation:

I got it right on the test

Help help help help

Answers

answer: 116⁰

z⁰ for y⁰ because it's

equal

Which expression is equivalent to:1/m6

Answers

Answer:

A

Step-by-step explanation:

6 is a power. So both C and D are wrong because 6 is being treated as an ordinary integer.

So the answer must be either A or B.

B is not correct because to move an expression from the denominator to the numerator changes the sign in the base (which is m in this  question).

A is correct. the power is changed from 6 in the denominator to -6 in the numerator. m is shifted to the numerator as well.

1. What are two possible first steps you could use when solving an equation like `6(x+4)=30?`

Answers

Answer:

Step-by-step explanation:

take 30 devide it by 6 then minose 4 off that and get x=1

Answer:

x = 1

Step-by-step explanation:

6(x + 4) = 30

Simplify.

6x + 24 = 30

Subtract 24 from each side.

6x + 24 - 24 = 30 - 24

Simplify.

6x = 6

Divide each side by 6.

6x ÷ 6 = 6 ÷ 6

Simplify.

x = 1

please help me this is due today!! it’s number 6


what is the length of AB

Answers

There are two ways to solve this problem
(I think the first one is easier to understand; but obviously it’s the way to prove solution 2)

7000 litres of water is pumped out if a tank in 42 minutes.how many litres could be pumped out in one hour

Answers

Answer:

10000 litres

Step-by-step explanation:

using proportion

if 7000 litres equals 42 minutes

then, x litres equals 60 minutes

x = (60×7000)÷ 42

x = 10000 litres

What are the coordinates of the point that is 1/5
of the way from A(-7,-4) to
B(3,6)?
A. (-5,0)
B. (-5,-2)
C. (0,3)
O D. (1,4)

Answers

9514 1404 393

Answer:

  B.  (-5, -2)

Step-by-step explanation:

That point is ...

  A + 1/5(B - A)

  = (-7, -4) + 1/5(3 -(-7), 6 -(-4)) = (-7, -4) +1/5(10, 10)

  = (-7, -4) +(2, 2) = (-5, -2)

The point (-5, -2) is 1/5 of the way from A to B.

what is the value of x to the nearest tenth

Answers

Answer:

tan90°=p/b

or,1/0=10/x

therefore x=0

On a particular game show, there are 8 covered buckets and 2 of them contain a ball.
To win the game, a contestant must select both buckets that contain a ball. Find the
probability that a contestant wins the game if he/she gets to select 4 of the buckets.

Answers

Answer:

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

Step-by-step explanation:

The buckets are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

8 covered buckets, so N = 8.

4 buckets are selected, so n = 4.

2 contain a ball, which means that k = 2.

Find the probability that a contestant wins the game if he/she gets to select 4 of the buckets.

This is P(X = 2). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,8,4,2) = \frac{C_{2,2}*C_{6,2}}{C_{8,2}} = 0.2143[/tex]

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

There are 6 different cookies on a plate. James will choose 2 of these cookies to pack in his lunch. How many different pairs of 2 cookies can he choose from the 6?

Answers

3, 6 divided by 2 is 3

Answer:

15

Step-by-step explanation:

He could choose 1 & 2, 1 & 3, 1 & 4, 1 & 5, 1 & 6, 2 & 3, 2 & 4, 2 & 5, 2 & 6, 3 & 4, 3 & 5, 3 & 6, 4 & 5, 4 & 6, 5 & 6

Why is android sound louder then iPhone???
Answer ASAP
Cause my volume isn’t as loud as android and my speakers work fine and so does the volume?

Answers

Answer:

There are many outcomes or data that needs to be collected... like does the iPhone and android share the same speaker? or are your speaker grills blocked out by something? or is your iPhone old, because they do change the speaker each gen.

-22+14/2(-10)


LAST ONE:)))

Answers

[tex]\huge\textsf {Hey there!}[/tex]

[tex]\mathsf{-22 + \dfrac{14}{2}(-10)}[/tex]

[tex]\mathsf{\dfrac{14}{2}= \boxed{\bf 7}}[/tex]

[tex]\mathsf{= -22 + 7(-10)}[/tex]

[tex]\mathsf{7(-10) =\boxed{\bf -70}}[/tex]

[tex]\mathsf{= -22 + (-70)}[/tex]

[tex]\mathsf{= -22 - 70}[/tex]

[tex]\mathsf{= \boxed{\bf -92}}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf -92}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

-92 is the answer.

Step-by-step explanation :

Let's go step by step.

-22 + 14/2(-10)

14/2 is 7, and 7 multiplied by -10 is -70, so we end up with this :

-22 + -70 = -22 - 70

-22 - 70 is -92.

-92 is the answer.

Hope this helps, please mark brainliest!

Please helpppp me i

Answers

Answer:

y=-15/2 + 3x/4

Step-by-step explanation:

If the scale of a map is such that 10 centimeters (cm) represents 25 kilometers (km), then two buildings that are actually 54 km from each other should be how many centimeters apart?​

Answers

Step-by-step explanation:

first find the value of 1km

1km= 10/25

1km= 0.4cm

now,

54km= 0.4× 54

= 21.6 cm

Question 6 of 10
How many solutions are there to the equation below?
12x + 32=124-7
A 1
B. iniintey many
co
SU

Answers

Answer:

1

Step-by-step explanation:

12x+32=117

12x=85

x=85/12

Find the midpoint of the segment below and enter its coordinates as an ordered pair. If necessary, express the coordinates as fractions, using the slash mark (/) for the fraction bar.
(1,-1) (4,-6)

Answers

The correct answer is (5/2, -7/2)

what are the domain and range of this function

Answers

Answer: domain: ARN

Range: y less than or equal to 0

Step-by-step explanation:

The arrows indicate that the lines continue forever, so the domain is all real numbers.

The lines only travel under the x-axis, so the range is y less than or equal to zero.

Taylor is playing a video game. She eams 15 points when she completes Level 1. Each time she completes a level, she earns three
times as many points as the previous level.
How many points will Taylor earn when she completes Level 6?

Answers

i believe the answer is 4374 just keep multiplying your previous number starting from 15 by 3 until you get to level 6. hope this helped!

3645 points will Taylor earn when she completes Level 6.

What is a permutation?

Permutation is the arrangement of items in which order matters. In this situation order matters repetition allowed.

According to the question,

Taylor is playing a video game. She earns 15 points when she completes Level 1.

Each time she completes a level, she earns three times as many points as the previous level.

= 15 × [tex]3^{6-1}[/tex]

= 15 × [tex]3^{5}[/tex]

= 15 × 243

= 3645

Hence, 3645 points will Taylor earn when she completes Level 6.

Learn more about permutation here

https://brainly.com/question/11710155

#SPJ2

The Pitts Barbecue Company makes three kinds of barbecue sauce: Extra Hot, Hot, and Mild. Pitts’ vice president of marketing estimates that the company can sell 8,000 cases of its Extra Hot sauce plus 10 extra cases for every dollar it spends promoting this sauce; 10,000 cases of Hot sauce plus 8 extra cases for every dollar spent promoting this sauce; and 12,000 cases of its Mild sauce plus 5 extra cases for every dollar spent promoting this sauce. Although each barbecue sauce sells for $10 per case, the cost of producing the different types of sauce varies. It costs the company $6 to produce a case of Extra Hot sauce, $5.50 to produce a case of Hot sauce, and $5.25 to produce a case of Mild sauce. The president of the company wants to make sure the company manufactures at least the minimum amounts of each sauce that the marketing vice president thinks the company can sell. A budget of $25,000 total has been approved for promoting these items of which at least $5,000 must be spent advertising each item. How many cases of each type of sauce should be made, and how do you suggest that the company allocate the promotional budget to maximize profits?

a. Formulate an LP model for this problem.
b. Create a spreadsheet model for this problem, and solve it using Solver.
c. What is the optimal solution?

Answers

Answer:

Case of Extra hot sauce     8000 cases

Case of Hot Sauce            10000 cases

Case of Mild Sauce           12000  + 2000 =  14000

z´(max) =  143500 $

Step-by-step explanation:

Profit of each product:

                                                     sale price $     cost  $       Profit $

Case of Extra hot sauce                       10                6                  4

Case of Hot Sauce                                10                5.5               4.5

Case of Mild Sauce                               10                5.25             4.75

The President of the company already orders the minimum of each case of sauce  as follows:

Case of Extra hot sauce  8000

Case of Hot Sauce          10000

Case of Mild Sauce        12000

Let´s call

x₁ quantity of cases of Case of Extra hot sauce  over 8000 cases

x₂ quantity of cases of Case of hot sauce  over 10000 cases

x₃ quantity of cases of Case of mild sauce  over 12000 cases

Then Objective function will be:

z  =  4*x₁  +  4.5*x₂  + 4.75*x₃    to maximize

Promoting budget constraint:

each dollar investing in promoting x₁   will become  10*x₁  ( cases)

each dollar investing in promoting x₂   will become   8*x₂(cases )

each  dollar investing in promoting x₃   will become  5*x₃ ( cases)

Total investment in promotion is 10000 $ again here we need by sure to invest 5000 $ in promotion for each type of sauce, leaving only extra 10000 $, then:

Constraint due to promotional budge:

10*x₁  +  8*x₂  +  5*x₃  ≤  10000

General constraints:

x₁  ≥  0     x₂  ≥0     x₃   ≥  0   all integers

Then the model  is:

z  =  4*x₁  +  4.5*x₂  + 4.75*x₃    to maximize

Subject to:

10*x₁  +  8*x₂  +  5*x₃  ≤  10000

x₁  ≥  0     x₂  ≥0     x₃   ≥  0   all integers

After 6 iterations using an on-line solver we got optimal solution:

x₁  =  x₂  =  0     x₃ = 2000

z(max) =  9500 $

Then as previous comments, the production will be:

Case of Extra hot sauce     8000 +  0   =  8000

Case of Hot Sauce            10000  +  0  =  10000

Case of Mild Sauce           12000  + 2000 =  14000

The whole profits :

z´  =  4*8000  + 4.5*10000 +  4.75 ( 12000 + 2000)

z´(max) = 32000 + 45000 +  66500

z´(max) = 143500 $

Aditional comments:

If we have n products at the same price it looks obvious that we manufacture the one wich the lowest cost. In this problem, the sales price is the same for the three sauces, and the production cost is the lowest for the Mild sauce, therefore as a consequence, it will be more profitable to manufacture Mild sauce.

Zeus Computer Chips, Inc., used to have major contracts to produce the Centrino-type chips. The market has been declining during the past three years because of the quad-core chips, which it cannot produce, so Zeus has the unpleasant task of forecasting next year. The task is unpleasant because the firm has not been able to find replacement chips for its product lines. Here is demand over the past 12 quarters:
Two Years
Ago Last Year This Year
I 4800 I 3500 I 3,200
II 3500 II 2700 II 2100
III 4300 III 3500 III 2700
IV 3,000 IV 2,400 IV 1700
Use the decomposition technique to forecast demand for the next four quarters.

Answers

Answer:

1st quarter := 2488.23

2nd quarter = 1646.50

3rd quarter = 1893.98

4th quarter = 1152.93

Step-by-step explanation:

Forecast demand in the next four quarters

intercept ( a ) = 3116.67 - (- 168.25 * 6.5 ) = 4210.29

Slope ( b ) = ( 219041.15 ) - ( 12 * 6.5 * 3,116.67 ) / 650 - ( 12 * ( 6.5)^2 )

                 = -24059.11 / 143 = -168.25

Forecast demand = a + bt = 4210.29 + 168.25t  

1st quarter := 2488.23

2nd quarter = 1646.50

3rd quarter = 1893.98

4th quarter = 1152.93

Values calculated using data from table attached below ( table 2 )

i need help with this one plz! (marking BRAINLIST) :) ​

Answers

Answer:

I gotchu man watch this

Step-by-step explanation:

in order to find x u gotta use tan or toh

opposite over hyp

anyway 17*tan(21)

6.525688596

or 6.53

Answer:

Step-by-step explanation:

tan θ = opposite / adjacent

tan 21 = x / 17

17 tan 21 = x

x = 6.52

ASAP
How many different arrangements can made using the letters of the word ATHABASCA if...
(a) Each arrangement begins with three A's.

(b) Each arrangement must begin with only two ffs . (The third letter can't be an A)

Answers

Answer:

Poooooop it is poop no cap legit

Step-by-step explanation:pooooooop

Pls believe me the dam answer is poop

What transformation of the parent function f(x) is made to get -2f(x)?

A. A reflection of the X axis and a vertical stretch by 2
B. Vertical vertical stretch by 2
C. A reflection on the y axis
D. A reflection in the x axis

Answers

Answer:

A.

Step-by-step explanation:

The negative gives a reflection in the x-axis.

The 2 is a vertical stretch factor 2.

There are nine counters in a bag numbered from one to nine. If a counter is drawn at random from the bag what is the probability that the number on the counter is not a multiple of three?

Answers

Step-by-step explanation:

jajajsjhshhsejjddjidndjdjdjxndjdkhsjdjddjdkd

The probability is 1/3 that the number on the counter is not a multiple of three.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

We have to determine the probability that the number on the counter is not a multiple of three.

There are nine counters in a bag numbered from one to nine.

If a counter is drawn at random from the bag.

One to nine, there are three numbers are multiple of three that is (3, 6, 9)

Here favorable outcomes = 3

So the probability that the number on the counter is not a multiple of three as

⇒ 3/9

⇒ 1/3

Therefore, the probability is 1/3 that the number on the counter is not a multiple of three.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

A farmer wants to make a rectangular field with a total area of 3200^2. It is surrounded by a fence. It is divided into 3 equal areas by fences. What is the shortest total length of fence with which this can be done?

Answers

Answer:

18133.333... units

Step-by-step explanation:

the shortest circumference for a given area based on rectangles is a square (all sides of equal length).

we cannot split a square completely into 3 equal area squares (only 4).

the best approach is then to split this main square into 3 equal area rectangles (not equal rectangles).

area of square 3200² = 10240000

a third of that area is 3413333.333...

now, splitting the main square into 3 equal "strips" of land creates 3 narrow and long rectangles, which is bad for minimizing the circumference. the best solution is to get as closely as possible to a square shape.

that we get by splitting one side in half and go in as far as the land area allows, which would be

half a side = 1600

3413333.33.../1600 = 2133.33...

so, we get 2 areas of 1600 × 2133.33...

and one area of (3200-2133.33...)×3200 = 1066.66...×3200

the length of fence needed is then

around the main square = 4×3200 = 12800

plus one length of fence between the first 2 parts : 2133.33...

plus one intensive long side between the first 2 parts and the remaining third part : 3200

in total : 18133.33...

to check : the three slices would require the 12800 plus 2 long lines inside between the 3 slices : 2×3200

in total : 19200

and an attempt to simply build one long strip of 3 equal area squares next to each other :

the side length of one such square is

sqrt(341333.33...) = 1847.520861...

as fence we would need 6 times that side length for the top and the bottom of the long strip, 2 times that side length for the sides left and right if the strip, and 2 times inside as additional delimiters between the 3 squares.

in total : (6+2+2) × 1847.520861... = 10×1847.520861...

= 18475.20861...

this is all larger than the original solution.


Use the Pythagorean Theorem to find the missing side
of right triangle RST in simplest radical form.


Answers

Answer:

9

Step-by-step explanation:

hip^2 = cat^2+cat^2

41^2= 40^2 + x^2

1681 = 1600 + x^2

1681-1600 = x^2

81 = x^2 /√

√81 = √x^2

9 = x

HELPPP!

Carl had two pieces of pizza. One piece had an angle measure of 60. The other one had an angle of 45. He put the two pieces together to make one large angle. What angle do the two pieces of pizza form?

Answers

Answer:

105°, obtuse angle

Step-by-step explanation:

60 + 45 = 105

60 + 45 = 105
Hope this helps :D

Help me please if you can't don't touch it

Answers

Answer:

C

Step-by-step explanation:

volume of cone= ⅓πr²h

Given: r= 3 in, h= 10 in

Volume of the cone

[tex] = \frac{1}{3} (\pi)(3^{2} )(10)[/tex]

= 30π

= 94.248 in³ (5 s.f.)

94 in³

In this picture, m∠XOZ = 70° and m∠YOZ = 37°. If m∠XOY = (5x + 16)°, what is the value of x?

Answers

Answer:

x = 3.4

Step-by-step explanation:

You have the value of xoz = 70, yoz = 37 and xoy = 5x+16

Set your formula up as

xoz = yoz + xoy

70 = 37 + 5x + 16

70 - 37 - 16 = 5x

17 = 5x

17 / 5 = x

3.4 = x

[tex]\huge\bold{Given :}[/tex]

mXOZ = 70°

mYOZ = 37°

mXOY = ( 5x + 16

[tex]\huge\bold{To\:find :}[/tex]

The value of .

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]{\boxed{\mathcal{\red{The\:value\:of\: x° \:is\:3.4° .\:}}}}[/tex]✅

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\pink{m∠XOZ\:=\:m∠YOZ\:+\:m∠XOY}[/tex]

➪ 70° = 37° + 5x° + 16°

➪ 5x° + 53° = 70°

➪ 5x° = 70° - 53°

➪ 5x° = 17°

➪ x° = [tex] \frac{17° }{5} [/tex]

x° = 3.4°

[tex]\sf\red{Therefore, \:the\: value \:of \:x°\: is \:3.4°.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

✒ 70° = 37° + 5 x 3.4° + 16°

✒ 70° = 37° + 17° + 16°

70° = 70°

L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

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