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4 years ago

What is 19,800 divided by 4?

Mathematics

1 answer:

rusak2 [61]4 years ago

3 0

The answer to this is 4,950.

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Working together, two secretaries can stuff the envelopes for a political fund-raising letter in 3 hours. Working alone, it take

AlekseyPX

Answer:

Faster worker takes 4 hours and slower worker takes 12 hours.

Step-by-step explanation:

Let x be the time ( in hours ) taken by faster worker,

So, according to the question,

Time taken by slower worker = (x+8) hours,

Thus, the one day work of faster worker = $\frac{1}{x}$

Also, the one day work of slower worker = $\frac{1}{x+8}$

So, the total one day work when they work together = $\frac{1}{x}+\frac{1}{x+8}$

Given,

They take 3 hours in working together,

So, their combined one day work = $\frac{1}{3}$

$\implies \frac{1}{x}+\frac{1}{x+8}=\frac{1}{3}$

$\frac{x+8+x}{x^2+8x}=\frac{1}{3}$ ( Adding fractions )

$3(2x+8)=x^2+8x$ ( Cross multiplication )

$6x+24=x^2+8x$ ( Distributive property )

$x^2+2x-24=0$ ( Subtraction property of equality )

By quadratic formula,

$x=\frac{-2\pm \sqrt{100}}{2}$

$x=\frac{-2\pm 10}{2}$

$\implies x=4\text{ or }x=-6$

Since, hours can not negative,

Hence, time taken by faster worker = x hours = 4 hours,

And, the time taken by slower worker = x + 8 = 12 hours.

6 0

4 years ago

Write √ 3 x √ 6 in the form b √2 where b is an integer.

tigry1 [53]

Answer:

Step-by-step explanation:

The catch here is to break up sqrt(6) into 2 parts that use primes to define sqrt(6)

sqrt(3)* sqrt(6)

sqrt(6) can be broken up into sqrt(2*3) which equals sqrt(2)*sqrt(3)

sqrt(3)*sqrt(2)(sqrt(3)

sqrt(3)*sqrt(3)*sqrt(2)

3*sqrt(2)

5 0

3 years ago

Can somebody help me on this thanks

sukhopar [10]

Answer:

Add 3/4 to both sides (the last option)

Step-by-step explanation:

Since you want to isolate f and the expression on one side is f - 3/4, you have to add 3/4 so that the -3/4 cancels out. When you do that, you also have to add 3/4 to the other side so that the equation stays balanced.

5 0

3 years ago

For exercises 1 and 2, translate each phrase into an algebraic expression.

Tanzania [10]

Hello There!

1. The difference of a number and sixteen
B. n - 16

2. Five times k
A. 5k

3. 3(3t + s)
D. 135

4. 2s - t
B. 6

Hope This Helps You!
Good Luck :)

- Hannah ❤

8 0

4 years ago

F(40)=0.015(40)+56.53

Tems11 [23]

Answer:

F(40)=57.13

Step-by-step explanation:

0.015(40)=.6

.6+56.53=57.13

6 0

3 years ago