Four people wanted to cross the river. There is only one boat available, and it can carry a maximum of
200 pounds. The weights of the four people are 190, 170, 110, and 90 pounds. How can they all
manage to get across the river, and what is the minimum number of crossings required for the boat?

Answers

Answer 1

Answer:

3 Trips/crossings

Step-by-step explanation:

190 Pounder Person goes by themselves, 170 goes by themselves, and 110 and 90 pounds go together.


Related Questions

Gina answered 42 out of 50 items correctly on a math test. What percent of the
items were correct? (Hint: Set up a ratio: 42/50=?/100=__%. Cross-multiply and divide the product by 50.)

Answers

Answer:

84%

Step-by-step explanation:

you cross multiply 42/50 by 2 and then u get 84/100

Find f (2b^2) for (x)=x^2-4x


Answer choice is
A. 4b^4 -8b^2
B. 2b^4-8b^2
C. -4b^2
D. 4b^2 - 8b^8

Answers

Answer:

A

Step-by-step explanation:

We are given the function:

[tex]f(x) = x^2 - 4x[/tex]

And we want to find:

[tex]\displaystyle f(2b^2)[/tex]

Substitute:

[tex]\displaystyle f(2b^2) =(2b^2)^2 -4(2b^2)[/tex]

And evaluate:

[tex]\displaystyle \begin{aligned} f(2b^2) &=(2b^2)^2 -4(2b^2) \\ &=(4b^4) +(-8b^2) \\ &= 4b^4 - 8b^2 \end{aligned}[/tex]

In conclusion, our answer is A.

5x + 1/3(3x + 6) >14

Answers

Answer:

[tex]5x + \frac{1}{3} (3x + 6) > 14 \\ lcm = 3 \\ \\ (3 \times 5x) + 3 \times \frac{1}{3} (3x + 6) > 14 \times 3 \\ \\ 15x + 3x + 6 > 42 \\ 18x + 6 > 42 \\ 18x > 42 - 6 \\ 18x > 36 \\ x > 2[/tex]

Answer is below

x > 2

How I did it

What I first did was divide 3x + 6 by 3 because when you multiply by 1/3 it's basically just dividing by 3.

5x+x+2>14

Simplify

6x+2>14

Subtract 2 on both sides

6x>12

Since you want to get x by itself you divide both sides by 6, singling out x

x>2

Hope this helps!

The sum of 6 and -10, decreased by 4.
Numerical expression

Answers

Answer:

6+10×4=40+6=46 number

cosA_1+sin1 + 1+sinA_cosA=2secA​

Answers

Step-by-step explanation:

all steps are done in the picture

Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.​

Answers

Answer:

TR = 23

Step-by-step explanation:

first we have to find TS, so we subtract 16 from 4 to get 12. then we can add 12 and 11 to get TR

Beverly just filled up her gas tank, which has enough gas to last her, at her usual driving rate, about 45 days. However, Beverly becomes extra busy and begins driving 66.6% more than she usually does. How many days does the tank of gas last Beverly at her new rate?

Answers

Answer:

27 Days

Step-by-step explanation

The rate of her gas consumption is inverse to the time she is driving. This means that if her time spent driving is increased by 66.66% (5/3 of the original rate), then it would inverse to create her decreased gas consumption by 3/5.

3/5 of 45 = 27

27 days

hope this helps :)

Select the correct answer. Consider this absolute value function. f(x)= |x-5| How can function f be written as a piecewise function?

(multiple choice)

Answers

Answer:

Option A.

Step-by-step explanation:

An absolute value function can be written in two ways, as the absolute value sign does not allow negative values.

[tex]|x-5|=x-5[/tex]

or

[tex]|x-5|=-(x-5)=-x+5[/tex]

The only options with these equations are A. and D.

D. can be eliminated as the inequalities given for the piecewise function do not match f(x)

To see it visually, you can try graphing it on a calculator or internet graphing service.

Which interval notation represents the set of all numbers from -3 to 0, inclusive?

Answers

Answer:

{ - 3, 0 ]

Step-by-step explanation:

parenthesis ( ) is used when the interval does not include the end values

brackets [ ] are used when the interval includes the end values

The end values here are - 3 and 0 so brackets are used, that is

[ - 3, 0 ]

PLEASE HELP 25points!

Answers

Answer:

2×10 is the same as 200,000 and 3×10 is the same as 30000 so this simply means you have to multiply the 2 figures and give the answer in standard form

200,000×30000

6000000000

which will be written as

6×10

I hope this helps

7. Using the diagram below, find the length of segment 5G
3x+1
6%
X+6
t
S
А G
w

Answers

Answer:

[tex]\huge\boxed{\sf SG = 31}[/tex]

Step-by-step explanation:

Given:

SW = 3x + 1

WA = 6x

AG = x + 6

SW = AG

Required:

Length of SG = ?

Solution:

Given that:

SW = AG

3x + 1 = x + 6

Combining like terms

3x - x = 6 - 1

2x = 5

x = 5/2

x = 2.5

Now,

SG = SW + WA + AG

SG = 3x + 1 + 6x + x + 6

SG = 3x + 6x + x + 1 + 6

SG = 10x + 6

Put x = 2.5

SG = 10(2.5) + 6

SG = 25 + 6

SG = 31

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

find the coordinates for the center of a circle with a diameter having endpoints at (0,2) and (-9,-2)

Answers

Answer:

(x−2)2+(y+1)2=100

Explanation:

the standard form of the equation of a circle is  

2 2 ( x − a ) 2 + ( y − b ) 2 = r 2 2 2  where  ( a , b )  are the coordinates of the center and r is  the radius  to find the center we require the  midpoint of the  2 given points  center  = [ 1 2 ( − 4+ 8 ) , 1 2 ( 7 − 9 ) ]  center = ( 2 , − 1 )  the radius is the distance from the center to either of  the 2 given points  calculate the radius using the  distance formula ∙  d = √ ( x2 − x 1 ) 2 + ( y 2 − y 1 ) 2  let  ( x 1 , y 1) = ( 2 , -1 )  and  ( x 2 , y 2 ) = ( − 4 , 7 ) r = √ = √ ( − 4 − 2 ) 2 + ( 7 + 1 ) 2 = √ 36 + 64 = 10 ⇒ ( x − 2 ) 2 + ( y − ( − 1 ) ) 2 = 10 2 ⇒ ( x − 2 )2 + ( y + 1 ) 2 = 100 ←  equation of circle

please do help - this is my TENTH TRY DOING THIS

Answers

Answer: Box A is the first 2

Box C is the 3 option

Step-by-step explanation:

What fraction does point A represent on the number line?
0 A

Answers

Since the number line is divided up into 10 sections and point A is on the first section (or line), 1/10.

PLEASE HELP
Simplify the following expression into a fraction with no exponents. Write your answer in the form a/b. 6^-2

Answers

Answer:

1/36

Step-by-step explanation:

6^-2

~Use negative exponent rule [ a^-b = 1/a^b ]

1/6^2

1/36

Best of Luck!

Answer:

[tex]\huge\boxed{\sf \frac{1}{36}}[/tex]

Step-by-step explanation:

[tex]\displaystyle = 6^{-2}\\\\We \ know \ that\ a^{-b} = \frac{1}{a^b} \\\\= \frac{1}{6^2} \\\\= \frac{1}{36} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

sin F = bc a/b c/a a/c

Answers

[tex]\\ \rm\Rrightarrow sin\Theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow sinF=\dfrac{GE}{FG}[/tex]

[tex]\\ \rm\Rrightarrow sinF=\dfrac{a}{c}[/tex]

Step-by-step explanation:

[tex]thank \: you[/tex]

Which of these are rational or irrational?

Answers

Answer:

Step-by-step explanation:

6.4 rationalwe don't know. It might repeat at some point.-2 rationalsqrt(16) = +/-4 which is rational.sqrt(12) is irrational. There's no pattern12/5 is rational 2.4we don't know. If it repeats then it is rational. The way it looks now, there's no pattern, so call it irrational.

1. Write each of these products as a quadratic
expression of the form x2+bx+c. That is, write
each product in standard form.
a. (x+3)(x + 5)
b. (x – 4)(x + 7)
C. (x-6)(x - 2)

Answers

Step-by-step explanation:

maybe I am wrong sorry for that but try to understand it

have a great day

I think a is 15x
I think b is -28x
Do you want to try C or do you want me to tell you?
It’s been a while since I’ve done math, so anyone can correct me if I’m wrong

If zt ⋅ z5 = z15 , what is the value of t ?

Answers

Answer:

t = 10

Step-by-step explanation:

z^t ⋅ z^5 = z^15

We know that a^b*a^c = a^(b+c)

z^(t+5) = z^15

Since the bases are the same, the exponents are the same

t+5 = 15

t = 15-5

t = 10

Help plz? Confusion :( mark brainiest if right

Answers

Answer:

The answer is C

Step-by-step explanation:

since the left side reads k times a, the only way to get a by itself is by dividing both sides by k

Graph each set of integers on a number line

(-5, -1, 10, -9

Answers

Answer:

65÷5(18-5)

=65÷5×13

=13×13

=169

What is the point-slope form of the linear equation y= 4/3x +2?

Answers

If you chose x=3, then 3(4/3)+2 = 6 so the y value = 6. The point slope would be y-6=4/3(x-3). Hope this could help

A Cheetah running at 61 miles per hour is chasing an American Antelope that is running
at a rate of 1583 meters per minute.
Which animal is running at a faster rate?

Answers

Answer:

Cheetah

Step-by-step explanation:

American Antelope's speed = 94980 meters per hour

                                            = 59 miles per hour

The Cheetah is faster than the American Antelope

Pls help me guys!

Which of the four pairs shown below are INVERSELY proportional? Select ALL of the correct answers.

1 : The number of lights switched on and the amount of energy used

2 : The number of people painting a fence and the time taken

3 : The number of animals on a farm and the age of the farmer

4 : The amount of rainfall and the number of storms​

Answers

Answer:

2

Step-by-step explanation:

The example of speed and time is a basic and appropriate example of inversely proportional. As the speed increases, the time to complete your trip will decrease

d = 6 and e = 2
4e + d + 12 - 2e

Answers

Answer:22

Step-by-step explanation:

4*(2) + (6) +12 - 2*(2)=

8 +6 +12 -4=

14 +8= 22

Answer: 22

Step-by-step explanation:

cb-b; use b = - 3, c = - 1​

Answers

Answer:

6

Step-by-step explanation:

Let b= - 3, c= - 1cb - b = ?(-1)(-3) - (-3) = ?3 - (-3) = 6

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

What is the y-intercept of the function f(x) = 2 • 3x?
A.
(0, 2)
B.
(0, 3)
C.
(0, 6)
D.
(2, 0)

Answers

Answer:

(0,2)

Step-by-step explanation:

Hi there!

[tex]f(x) = 2*3^x[/tex]

The y-intercept of any function occurs when x=0.

To find the y-intercept, solve for f(0):

[tex]f(0) = 2*3^0\\f(0) = 2*1\\f(0) = 2[/tex]

Therefore, the y-intercept is 2 and occurs at (0,2).

I hope this helps!

Which is the circumference of the circle? (Use = 3.14)
A. 376.8 cm
B. 188.4 cm
c. 113.04 cm
D. 37.68 cm
E 18.84 cm

Answers

Answer:

D 37.64

Step-by-step explanation:

C=2πr

so 2✘3.14 ✘6

17) There are 250 people at the mall and 148
have brown hair, approximately what percent
of the people have brown hair?
a) 20%
b) 60%
c) 70%
d) 100%

Answers

Answer: 60%

Explanation:

250 • x = 148
x = 148/250
x = 0.592
or x = 59.2%

Approximate x we get:

x is closer to 60%.

HELP ME PLS
Write the ratio
3/8 with a numerator of 9.

Answers

Answer:

24

Step-by-step explanation:

3    9

8    

9 times 8

divided by 3 = denominator

9x8÷3=24

Answer:

[tex]\frac{9}{24}[/tex]

Step-by-step explanation:

Skills needed: Identify numerator, Multiplying to change fraction

1) First, we need to know what the numerator is. The numerator is the upper number of the fraction, which is separated by the fraction bar FROM the denominator (the bottom part of the fraction).

In this fraction, 3 would be the numerator as it is the top number.

2) What we need to do here is rewrite the fraction [tex]\frac{3}{8}[/tex] so that the numerator is 9. Let's look at it in another way:

[tex]\frac{3}{8} * \frac{x}{x} = \frac{9}{z}[/tex] (The reason it is [tex]\frac{x}{x}[/tex] is because we want to multiply the original fraction/ratio by 1 so that we do not change it).

3) Now we know that [tex]3 * x=9[/tex], and if we divide both sides by 3, we get:

[tex]x=3[/tex].

This means it would be:

[tex]\frac{3}{8} * \frac{3}{3} = \frac{9}{z}[/tex]

Now we need to find [tex]z[/tex]. [tex]z=8*3 = 24[/tex]. [tex]z=24[/tex].

The numerator of our fraction would be 9, and the denominator is 24, making our answer: [tex]\frac{9}{24}[/tex].

Hope you understood and have a nice day!! :D (If you have any questions, please comment, and I can try to help!)

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