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3 years ago

500 1/3 in simplest radical form

Mathematics

1 answer:

ycow [4]3 years ago

4 0

Answer:

500.3333333333333−−−−−−−−−−−−−−−√ cannot be reduced

500.3333333333333−−−−−−−−−−−−−−−√≈22.368132093076824

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A 60 by 80-foot rectangular walk in a park surrounds a flower bed. If the walk is of uniform width and its area is equal to the

alekssr [168]

Answer: 17.14 ft

Step-by-step explanation:

The area of the flower bed is 60 ft x 80 ft = 4800 ft²

The perimeter of the sidewalk that surrounds the flower bed is:

2(60 ft) + 2(80 ft)
= 120 ft + 160 ft
= 280 ft

The area of the sidewalk is:

perimeter x width
= 280w

area of sidewalk = area of flower bed

280w = 4800

$\text{w}=\dfrac{4800}{280}$

$=\dfrac{120}{7}$

≈ 17.14

8 0

3 years ago

The farmer looks out in the barnyard and Cesar pigs and the chickens. He says to his daughter, “ I count 40 heads in 100 feet. H

notsponge [240]

Answer:

There are 10 pigs and 30 chickens

Step-by-step explanation:

Let the number of pigs be x

let the number of chickens be y

Then there are 40 heads . So the total number of pigs and chickens is 40

x + y = 40-----------------------(1)

We know that pigs have 4 legs and chickens have 2 legs

4x + 2y = 100----------------------(2)

Solving (1) and (2)

multiply (1) by 2

2x + 2y = 80-------------------------(3)

subtract (3) from (2)

4x + 2y = 100

2x + 2y = 80

----------------------------

2x = 20

----------------------------

$x = \frac{20}{2}$

x = 10

Now Substituting x in (1), we get

10 + y = 40

y = 40 - 10

y = 30

7 0

3 years ago

Você é um comandante de uma espaçonave. Sua missão é chegar até Alfa Centauro em cinco anos. A distância do Sol até Alfa Centaur

Deffense [45]

Answer:

The spaceship will get to Alpha Centaur in time

Step-by-step explanation:

The complete question in English is

You're the commander of a spaceship. Your mission is to reach Alpha Centaur in five years. The distance from the sun to Alpha Centaur is 2.5 x 10^13 miles. The distance from Earth to Sun is approximately 9.3 x 10^7

miles. Your spaceship can travel at the speed of light. You know that light can travel a distance of 5.88 x 10^12 miles in a year. Can you get to Alpha Centaur in time?

step 1

Find the time it takes for the spaceship to travel from Earth to the Sun

The distance from the Earth to Sun is equal to

$9.3*10^7\ miles$

The spaceship can travel at the speed of light

The light can travel a distance of $5.88*10^{12}\ miles$ in a year

using a proportion

$\frac{5.88*10^{12}\ miles}{1\ year}=\frac{9.3*10^7\ miles}{x}\\\\x=(9.3*10^7)/5.88*10^{12}\\\\x=1.58*10^{-5} \ years$

This time is very small in years

Convert to minutes

$1.58*10^{-5} \ years=1.58*10^{-5} (365)(24)(60)=8.3\ min$

step 2

Find the time it takes for the spaceship to travel from the Sun to Alpha Centaur

The distance from the the Sun to Alpha Centaur is equal to

$2.5*10^{13}\ miles$

The spaceship can travel at the speed of light

The light can travel a distance of $5.88*10^{12}\ miles$ in a year

using a proportion

$\frac{5.88*10^{12}\ miles}{1\ year}=\frac{2.5*10^{13}\ miles}{x}\\\\x=(2.5*10^{13})/5.88*10^{12}\\\\x=4.25\ years$

$4.25\ years< 5\ years$

therefore

The spaceship will get to Alpha Centaur in time

3 0

2 years ago

Please help I asked this question earlier and nobody answered! :(

tatiyna

Answer:

Step-by-step explanation:

One way to tell is to put both equations into slope-intercept form. That form is usually written $y=mx+b$ where m is the slope and b is the y-intercept.

Solve the first equation for y.

$6x+2y=5 \\ 2y=-6x+5 \\ y=-3x+5/2$

The slope of this line is -3, and its y-intercept is 5/2.

Solve the second equation for y.

$y+3x=2\\y=-3x+2$

The slope of this line is -3 and its y-intercept is 2.

The lines are parallel because they have the same slope and different y-intercepts. There is no solution to the system.

8 0

3 years ago

The Better Nutter Butter Co packed 400 lb. of peanut butter into jars holding 2.5 lbs. each. How many jars were used?

Rus_ich [418]

Answer:

160 jars

Step-by-step explanation:

To find how many jars were used, we just need to divide the amount of stuff by the amount of stuff a jar can hold.

400 (the amount of peanut number in pounds) / 2.5 (the amount of peanut butter each jar can hold) = 160.

So, 160 jars were used to package the 400 pounds of peanut butter.

8 0

3 years ago