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?

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).

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!)

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

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.

Answer:

D 37.64

Step-by-step explanation:

C=2πr

so 2✘3.14 ✘6

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!

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:

Answer:

2×10⁵ is the same as 200,000 and 3×10⁴ 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

6×10⁹

I hope this helps

[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]

Answer: Box A is the first 2

Box C is the 3 option

Step-by-step explanation:

Step-by-step explanation:

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

have a great day

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 :)

Answer:

Step-by-step explanation:

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!

Step-by-step explanation:

all steps are done in the picture

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

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

Answer:

Step-by-step explanation:

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

Answer:

65÷5(18-5)

=65÷5×13

=13×13

=169

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!

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

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.

Answer:

84%

Step-by-step explanation:

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

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!

Answer:

6+10×4=40+6=46 number

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 ]

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

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