4-11/2 divided by 4-2/3 radicals and exponents

Sheila, janice, and katen, working together at the same rate, can complete a job in 3 1/3 days. Working at the same rate, how mu

pychu [463]

Answer:

Janice and Karen could do in 1 day:

20% of the job.

Step-by-step explanation:

To identify how much of the job could janice and caren do in 1 day, first, we must find how much of the job make just 1 person at the same rate:

If three persons make a job in 3 1/3 days, 1 person make the job in x:

3 persons ⇒ 3 1/3 days or 10/3 days
1 person ⇒ x

Then:

$x=\frac{1 person*\frac{10}{3}days }{3 persons}$ (we cancel the unit "persons")
$x=\frac{\frac{10}{3}days }{3}$
x = 10 days

Just a person would need 10 days to complete a job, now, we're gonna divide this value in 2 to obtain the time that need two persons to complete a job:

Time to complete a job between 2 persons = $\frac{10}{2}days$
Time to complete a job between 2 persons = 5 days

How two persons need 5 days to complete a job (in this case, the two persons are Janice and Karen), we can make a simple rule of three to obtain the percentage made in 1 day:

5 days ⇒ 100% of a job
1 day ⇒ x

Then:

$x=\frac{1*100}{5}$ (you can use the % if you want, the result is the same)
$x=\frac{100}{5}$
$x=20$

As you can see, Janice and Karen just in a day could do 20% of the job.

3 0

3 years ago

Looking for the answer to this

SashulF [63]

<h2>Required Answer :-</h2>

Given system of linear equations are ,

x + y = 2
-3x + y = 2

And we need to find the Solution of the linear equation . So let's Firstly number the equations .

$\large{\red{\frak{ Given}}}\begin{cases} \sf x + y = 2\qquad ..........(i) \\\\\sf -3x + y = 2 \qquad ..........(ii) \\\end{cases}$

→ Multiplying equⁿ (i) by 3 ,

=> 3 ( x + y ) = 2*3

=> 3x + 3y = 6

→ Adding the two equations ,

=> 3x + 3y -3y + y = 6 + 2

=> 4y = 8

=> y = 8/4

=> y = 2

→ Put y = 2 in (i) ,

=> x + y = 2

=> x + 2 = 2

=> x = 2- 2

=> x = 0

<h3>★ Hence the required solution is ( 0 , 2 ) .</h3>

7 0

3 years ago

A baseball is thrown into the air from a height of 5 feet. The ball reaches a maximum height of 43.5 feet and spends a total of

xeze [42]

Answer:

h(t) = -16t^2 + 49.64t + 5

Step-by-step explanation:

The above choice is the only one that makes the height function be a downward-opening parabola and gives h(0) = 5, the initial height of the baseball.

___

Any function starting with 16t^2 will not have any positive x-intercepts.

8 0

3 years ago

Find the measure of one interior angle in a regular 27-gon.

Whitepunk [10]

Answer:

13 1/3°

Step-by-step explanation:

Divide 360° (full circumscribed circle) by 27.

There will be 27 identical interior angles, each measuring 13 1/3°

8 0

3 years ago

In one year, online retail sales increased from $6 to $11 billion.

xeze [42]

83 percent.

Simply do 11-6, which is 5; then do 5/6, and multiply by 100 to get the percent. That equals out to be 83.3333 percent. Or 83 percent when rounding.

3 0

3 years ago