Which of the following numbers represents the fraction 8/9 to the nearest percent?

Mathematics

1 answer:

jekas [21]2 years ago

6 0

The number that presents 8/9 to the nearest percent is .89.

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Dave can complete a sales route by himself in 4 hours. James can do the same job in 5 hours. How long will it take them to do it

Alexeev081 [22]

We can solve this problem by calculating the individual rate of working and equate it to their total rate of working.

If Dave can complete a sales route in 4 hours, then his working rate is

$\frac{1}{4}$

Also, if James can do it in 5 hours, then his working rate is

$\frac{1}{5}$

Let
$x$
be the hours that both will use to complete the sales route,

Then rate at which both completes this task is
$\frac{1}{x}$

Meaning if we add their individual rates we should get

$\frac{1}{x}$

That is;

$\frac{1}{4} + \frac{1}{5} = \frac{1}{x}$

The LCM is
$20x$

So let us multiply through with the LCM.

$20x \times \frac{1}{4} + 20x \times \frac{1}{5} =20x \times \frac{1}{x}$

$5x + 4x = 20$

We simplify to get,

$9x = 20$

Dividing through by 9 gives;

$x = \frac{20}{9}$

$x = 2\frac{1}{9}$

Therefore the two will complete sales route in
$2 \frac{1}{9}$
hours.

3 0

3 years ago

The relation R is shown in the table below.

Volgvan

Answer:

Domain: {-3, -1, 1}

Range: {-1, 2, 4, 5}

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

(01.01) Kisha and Rae are asked to solve −5x − 14 = 2x + 7. Identify where one of them made an error.