HELP WILL MARK BRAINLIEST HEEEELPPP!!!!!!!!! Four people need to cross a dark river at night.They have only one torch and the river is too risky to cross without the tourch. if all people cross simultanoesly then torch light wont be sufficient.Speed of each person of crossing the river is different.cross time for each person is 1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the river ?

Answers

Answer 1

Answer:

13 minutes

Step-by-step explanation:

Person 1: 1 min

Person 2: 2 min

Person 3: 7 min

Person 4: 10 min

Person 1, 3, and 4 cross first, which will take 10 minutes.

Then, Person 1 comes back, taking 1 minute.

Person 1 and Person 2 cross the river, taking 2 minutes.

10 + 1 + 2 = 13 minutes.


Related Questions

Can someone help me find the answer to these 3 problems if so thank you .

Answers

Answer:

1. r+s²=49

2. pq²=24

3. -4xy-6x²+2x²y-6y= -54

Step-by-step explanation:

1. r+s²=0+7²=49

2. pq²=(6)(2)²=6(4)=24

3. -4xy-6x²+2x²y-6y= -4(3)(2)-6(3)²+2(3)²(2)-6(2)

                                = -24-6(9)+2(9)(2)-12

                                = -24-54+36-12

                                = -78+36-12

                                = -42-12

                                = -54

Mya buys 4 pounds of turkey and 2 pounds of ham.she pays a total of $30,and the turkey cost $1.50 less than the ham.what would be the combined cost of 1 pound of ham and 1 pound of turkey?

Answers

Answer:$10.50

Step-by-step explanation:

Let t = cost per pound of turkey

Let h = cost per pound of ham

4t + 2h = 30

t = h - 1.5

substitute h-1.5 in place of t in 1st equation

4(h-1.5) + 2h = 30

4h - 6 + 2h = 30

6h - 6 = 30

6h = 36

h = 6

t = h-1.5 = 4.5

1 pound of turkey costs $4.50

1 pound of ham costs    $6.00

                                ----------

cost of 1 pound each  $10.50

factorize:3x^{2} +4x-15

Answers

Answer:

(3x - 5) (x + 3)

Step-by-step explanation:

Multiply the coefficient of the first term by the constant:

3 x -15 = -45

Find two factors of -45 that equals 4:

-5 + 9 = 4

Rewrite the polynomial splitting 4 using -5 and 9:

3x2 - 5x + 9x - 15

Add up the first 2 terms, pulling out like factors:

x • (3x-5)

Add up the last 2 terms, pulling out common factors:

3 • (3x-5)

Add everything up:

Answer

(x+3) (3x-5)

−10x + 6(x − 5) = 12x − 62

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

So we have:

[tex]-10x+6(x-5)=12x-62[/tex]

Distribute:

[tex]-10x+6x-30=12x-62[/tex]

Combine like terms:

[tex]-4x-30=12x-62[/tex]

Subtract 12x from both sides:

[tex]-16x-30=-62[/tex]

Add 30 to both sides:

[tex]-16x=-32[/tex]

Divide both sides by -16:

[tex]x=2[/tex]

And that's our answer :)

Answer: x=2

Step-by-step explanation:

first you distribute -10x+6x-30=12x-62

then combine all like terms -16x=-32

then divide -16x/-16=-32/-16

answer x=2

The three medals earned in the Olympics are the gold, silver, and bronze medals. In the 2014 Winter Olympics, the United States had 28 total medal winners. There were two more gold medals than sivler medals, and the number of bronze medals was four less than the sum of the number of gold and silver medals. How many winners were there of each type of medal? Gold: Silver: Bronze:

Answers

Answer:

Let x be the number of silver medals.

As there were two more gold medals than silver ones, gold medals are x+2

We also know that the number of bronze medals was 4 less than the sum of gold and silver, so if there are x + 2 of gold and x of silver, there are x+x+2-4 of bronze.

Now, we can do an equation, as we know there were a total of 28 medals:

x + x + 2 + x + x + 2 - 4 = 28

And we isolate x:

4x = 28

x = 28/4 = 7

There were 7 silver medals, so there were 9 gold ones (7-2) and 12 of bronze (9+7-4).

The number of Gold, Silver and Bronze medals are 9, 7 and 12 respectively.

Let the number of silver medals = s

Let the number of good medals = s + 2

Let the number of bronze medals = 2s - 2

Total medals = 28

Therefore, the value for each medal will be:

s + s+2 + 2s-2 = 28

Collect like terms

4s = 28 - 2 + 2

4s = 28

s = 28/4 = 7

Silver medals = 7

Gold medals = s + 2 = 7 + 2 = 9

Bronze medals = 2s - 2 = 2(7) -2 = 14 - 2 = 12

Read related link on:

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What is 1/6 times 1/8

Answers

Answer:

1/48 or 0.02083 in decimal form

Step-by-step explanation:

Answer:

1/48

Step-by-step explanation:

1*1=1

6*8=48

a submarine is 50 meter below sea levl. it goes up 15 meters, then goes down 40 meters. what is the submarine' new position relative to sea level ? 1. ( -105 meters) 2. ( -75meters) 3.( -35 meters) 4. ( 25 meters)

Answers

Answer:

-75 meters

Step-by-step explanation:

First, subtract 15 from 50, since it is going up:

50 - 15

= 35

Then, add 40, since it is going back down:

35 + 40

= 75

So, the new position is -75 meters relative to sea level

First condition of submarine=50 m below the sea=-50 m

It goes up 15 m, that means we must add up 15 m.

-50 m+15 m=

15 m-50 m=-35 m (35 m below the sea)

And, then goes down 40 m, so we subtract it with 40 m.

-35 m-40 m=-75 m (75 m below the sea)

So, the right answer is 2. (-75 meters)

Thank you.

If y represents a number, write an expression that represents the sum of y and a number one greater than y

Answers

Answer:

2y+1=0

Step-by-step explanation:

a number one greater than y is y+1

so sum of y and y+1= 2y+1

Answer:

2y+1=0

Step-by-step explanation:

a number one greater than y is y+1

so sum of y and y+1=2y+1

hope its helpful

Mrs. Jensen bought jeans on sale online. The total cost, c, in dollars of j pairs of jeans can be found by using the function below. c=15j+4.50 If Mrs. Jensen spent a total of $49.50 on the jeans, how many pairs did she buy? a j=747 b j=755 c j=2 d j=3

Answers

The answer is D. j = 3

c = 15(3) + 4.50

c = 45 + 4.50

c = $49.50

A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4,500. Write and solve an absolute value inequality to determine the range of salaries at this company.

Answers

|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

A coach wants to buy a soccer jersey for $25.99 and socks for &6.49 the prices include tax if he gives the cashier two $20 bills how much change should the coach expect?

Answers

Answer:

I think it might be $7.52

If an object is projected upward with an initial velocity of 123 ft per​ sec, its height h after t seconds is h=−16t2+123t. Find the height of the object after 5 seconds.

Answers

Answer:

Height after 5 seconds is 215 ft

Step-by-step explanation:

Given that:

The initial velocity of object which is projected upwards is 123 ft/sec.

Height of the object, h after time t in seconds,  is given as:

[tex]h=-16t^2+123t[/tex]

Here, t will always be positive, so [tex]123t[/tex] and [tex]16t^2[/tex] will also be positive.

But coefficient of [tex]16t^2[/tex] is negative, that means something is subtracted from the positive term [tex]123t[/tex].

To find:

Height of object after 5 seconds.

Solution:

Given that [tex]t=5[/tex] seconds.

Let us put the value in the given relation of [tex]h[/tex] and [tex]t[/tex]:

[tex]h=-16\times 5^2+123 \times 5\\\Rightarrow h=-400+615\\\Rightarrow \bold{h = 215\ ft}[/tex]

So, height after 5 seconds is 215 ft.

please help:
The Atlantic Ocean covers about 3.2 x 10' square miles. The
Pacific Ocean covers about 6.4 X 10' square miles.
About how much area does the Atlantic Ocean and Pacific
Ocean cover?
OA) 3.2 x 10' square miles
OB) 9.6 X 10' square miles
OC) 3.2 x 1024 square miles
OD) 9.6 x 100 square miles

Answers

Answer: the answer is B

Step-by-step explanation:

3.2•10= 32

6.4•10=64

32+64= 96

9.6•10=96

Hope this helps

Is the range correct for this problem? ​

Answers

Answer:

See below.

Step-by-step explanation:

So, looking at the graph (and you graphed correctly, so nice job :D ) we can see that the range (the span of y-values) covered by the graph is everything less than or equal to 0. Therefore, our range should be all values less than or equal to 0. And this includes 0.

Therefore, in interval notation, our answer is:

[tex](-\infty,0][/tex]

Your answer of:

[tex](0,-\infty)[/tex]

is incorrect for 2 reasons.

First, we need to use brackets for the 0 since we include it in our solution set. (5,0) is a valid point in the equation (it's also the vertex). Thus, we need to use brackets.

Second, traditionally, the smaller unit comes first. 0 is technically greater than negative infinity. Yes, the graph does go from 0 to negative infinity, but conventionally, we would still write negative infinity first.

And everything else is correct (maybe you forgot to add "flipped over x-axis for the first question," however?) so nice work!


A line has a slope of 9 and passes through the point (1,5). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y= 9x -4

Step-by-step explanation:

Please see attached picture for full solution.

The integers here are 9 and -4.

There isnt a need to use fractions in this case and hence I did not write the integers into a fraction (e.g. -4 into [tex] \frac{ - 4}{1} [/tex]) since the question requires them to be in the simplest form.

Find an angle between 0° and 360° that is coterminal with –150°.​

Answers

Answer:

210 degrees

Step-by-step explanation:

-150 + 360 = 210

The angle between 0° and 360° is 210°

What is angle?

In plane geometry a figure is formed by "two ray or lines and that shares same point is called an angle".

What is co terminal angle?

Co terminal are angles in "standard position (angles with initial side along the positive x-axis) they have common terminal side".

According to the question,

The co terminal angle is 150°. The plane is formed by angle between 0° and 360°. In order to find angle is 150° + 360° = 210°.

Hence, the angle between 0° and 360° is 210°.

Learn more about angle here

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Stella rewrites −212+3.7 as 3.7−212. Which property did she use? A. Additive Identity Property B. Additive Inverse Property C. Commutative Property D. Distributive Property

Answers

Answer:

Option C.

Step-by-step explanation:

It is given that Stella rewrites −212+3.7 as 3.7−212.

We need to find which property did she use.

According to commutative property of addition,

[tex]A+B=B+A[/tex]

Where, A and B are any real values.

In the given expression −212+3.7, A=-212 and B=3.7.

Using commutative property of addition, we get

[tex](-212)+3.7=3.7+(-212)[/tex]

[tex](-212)+3.7=3.7-212[/tex]

So, she used commutative property.

Therefore, the correct option is C.

I just need b please


please also explain, this is one of the last problems i need to do for this!​

Answers

Answer:

[tex](\frac{3}{2} , -\frac{5}{4})[/tex]

Answer: They intersect at [tex](\frac{3}{2},-\frac{5}{4} )[/tex]

Step-by-step explanation:

x-2y = 4  

7x  + 2y = 8  

We will solve the equations using the substitution method so we will solve for y in one of the equations and  and substitute it into the other equation to solve for x.

x - 2y = 4  

-x         -x

-2y = 4 - 1x      Divide both sides by -2

y = 1/2 x - 2      Now use substitution

7x + 2( 1/2x -2) = 8  

7x + 1x - 4 = 8  

  8x -4 = 8

       +4   +4

8x = 12

x =  12/8   and simplifies to   3/2  

the value of x is 3/2  so plot it into one  of the equations and solve for y.  

7(3/2) + 2y = 8  

21/2  + 2y = 8

-21/2            -21/2

2y = -5/2  

y = -5/4

A bird flies from the bottom of a canyon that is 51 3/10 feet below sea level to a nest that is 737 1/10 feet above sea level.

Answers

Answer:

The bird would have to fly up 685.8 feet up.

Step-by-step explanation

If we are talking about how much the bird wants to fly up to the nest, then it would be 685.8 ft up.

first,

you take the fractions which are (-51 3/10) and (737 1/10)

Then we make them decimals to be easier (on my pov) Then we have

-51.3 and +737.1

Next we add 737.1+(-51.3)

which equals 685.8 feet.

the volume of a eraser is 9.6cm³. if its height is 0.8cm find the area of its base​

Answers

Answer:

the area of its base​=12 cm²

Step-by-step explanation:

volume=base*height

9.6=b*0.8

base=9.6/0.8=12 cm²

A manufacturer of widgets finds that the production cost, What is the selling price per widget as a function of the
C, in dollars per unit is a function of the number of number of widgets produced, and what should the
widgets produced. The selling price, S, of each widget in selling price be if 15 widgets are produced?
dollars is a function of the production cost per unit
C(x) = -0.1x2 + 100
O C(S(x)) = -0.196x2 + 100, $108.64
S(C) = 1.40
O C(S(x) = -0.196x2 + 100; $55.90
O S(C(x)) = -0.14x2 + 140; $144.41
O S(C(x)) = -0.14x2 + 140, $108.50

Answers

Answer:

S(C(x)) = –0.14x2 + 140; $108.50

Step-by-step explanation:

did the assignment

Answer:

D

S(C(x)) = -0.14x2 + 140, $108.50

An $80.00 coat is marked down 20%. It does not sell, so the shop owner marks it down an additional 15%. What is the new price of the coat in dollars?

Answers

Answer:

$54.40

Step-by-step explanation:

First, find the new price after the 20% markdown:

80(0.8)

= 64

Then, find the price with the 15% markdown:

64(0.85)

= 54.4

So, the new price of the coat is $54.40

FUNCION AFÍN O LINEAL. Una empresa de gas cobra el servicio del siguiente modo: un cargo fijo de $140, mas un importe por el consumo mensual a razon de $25 el m3. A) ¿cuanto debera abonar la familia a la que se le registro un consumo de 140 m3 en el mes de mayo? (Los meses no es de importar :3) B) ¿cual es la formula que define esta funcion para un numero "x" de m3 consumidos? C) representar graficamente la situacion planteada D) ¿que representa en este caso la ordenada al origen? Si alguien me ayuda, de verdad se lo agradezco

Answers

Answer:

El costo es:

Primero tenemos un cargo fijo de $140.

Luego tenemos un $25 por cada m^3 consumido.

Entonces, si tenemos x m^3 consumidos en un mes, el cargo de ese mes va a ser:

C(x) = $140 + $25*x.

Esto es una relación linear.

A) En este caso tendríamos x = 140

C(140) = $140 + $25*140 = $3640

B) La formula es, como ya escribimos arriba, C(x) = $140 + $25*x.

C) El grafico estará al final.  En el podemos ver que la linea corta el eje vertical en y = $140, que seria lo minimo que se puede pagar al mes, en el caso de que el consumo sea x = 0.

D) La ordenada al origen es $140, representa el cargo fijo que no depende de la variable x.

1. F(x) = (x-1)2 + 5
What is Transformation for this function

Answers

Answer: f(x)= 2x+3

Step-by-step explanation: f(x)=(x-1)2+5

2x-2+5

F(x)=2x+3

Kalila Winston worked for a software company for 26 years. She became permanently disabled and could no longer keep her job. She was 52 years old and had planned to work until she was 62. Her final salary was $43,000. Her rate of benefits was 2%. What is Kalila's monthly disability benefit?

Answers

Answer:

The monthly disability benefit is $2580

Step-by-step explanation:

Given

[tex]Final\ Salary\ (P) = \$43000[/tex]

[tex]Age = 52[/tex]

[tex]Benefit\ Rate (R) = 2\%[/tex]

Worked = 26 years

Expected = 62 years

Required

Determine the monthly disability benefit

First, we need to determine the years (T) left for her to work;

[tex]T = Expected - Worked[/tex]

[tex]T = 62 - 26[/tex]

[tex]T = 36[/tex]

Next, is to calculate the yearly disability benefit as follows;

[tex]Benefit = PRT[/tex]

Substitute 36 for T, 2% for R and 43,000 for P

[tex]Benefit = 43000 * 2\% * 36[/tex]

Convert percentage to decimal

[tex]Benefit = 43000 * 0.02 * 36[/tex]

[tex]Benefit = 30960[/tex]

There are 12 months in a year;

So; Monthly Benefit is as follows;

[tex]Monthly = \frac{30960}{12}[/tex]

[tex]Monthly = \$2580[/tex]

Hence, the monthly disability benefit is $2580

the lowest temperature ever recorded on Earth is -94.7 this was recorded in August 2010 in Antarctica. Before this date, the previous record was at -89.2 What is the difference between these two extreme temperatures?

Answers

Answer:

5.5

Step-by-step explanation:

The lowest temperature ever recorded on Earth is =-94.7

Before this date, the previous record was at= -89.2

the difference between these two extreme temperatures=-89.2-(-94.7)

                                                                                              =-89.2+94.7

                                                                                              =5.5

The difference between these two extreme temperatures is 5.5

Which number line best shows how to solve −10 − (−8)?

Answers

Answer:

A number line

Step-by-step explanation:

Which best explains why the two ratios below are in a proportional relationship?
2 to 3
8:12
A
because 2 times 4 is 8 and 3 times 4 is 12
B
because 8 minus 2 is 6 and 6 times 2 is 12
С
because 2 times 2 is 4 and 8 plus 4 is 12
D
because 8 minus 2 is 6 and 12 minus 3 is 9

Answers

I believe it’s A because that one makes sense the most

Answer quick please and thank you

Answers

Answer: 32 square cm

===================================================

Work Shown:

L = length = 2 cm

W = width = 2 cm

H = height = 3 cm

SA = surface area of rectangular prism (aka rectangular block)

SA = 2*(LW + LH + WH)

SA = 2*(2*2 + 2*3 + 2*3)

SA = 2*(4+6+6)

SA = 2*(16)

SA = 32 square cm

According to Teo's bread recipe, he should bake the bread at 190°C for 30 minutes. His oven measures temperature in °F. To what temperature in °F should he set his oven?​

Answers

Answer:

374 °F

Step-by-step explanation:

Data obtained from the question include the following:

Temperature (°C) = 190 °C

Temperature (°F) =?

Recall:

The conversion scale of temperature from °F to °C is given by the following equation:

C = 5/9(F – 32)

Next, we shall make F the subject of the formula. This can be obtained as follow:

C = 5/9(F – 32)

Cross multiply

5(F – 32) = 9C

Divide both side by 5

F – 32 = 9C/5

Rearrange

F = 9C/5 + 32

With the above formula, we can convert 190 °C to °F as follow:

Temperature (°C) = 190 °C

Temperature (°F) =?

F = 9C/5 + 32

F = 9 × 190/5 + 32

F = 1710/5 + 32

F = 342 + 32

F = 374 °F

Therefore, Teo will set the oven to 374 °F

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