Determine whether the given value is a solution of the equation(is this a YES or NO)

Mathematics

1 answer:

Ne4ueva [31]3 years ago

5 0

To determine if a given value is a solution of the equation, we will substitute the given value in for the variable it has been assigned to.

In this equation, our variable is k.

$25 = \frac{k}{5} ; k = 5$

Substitute 5 in for k:

$25 = \frac{5}{5}$

Now we will simplify the right side of the equation:

$\frac{5}{5} = 1$
25 = 1

25 does not equal 1, so we know that the given value 5 is not a solution for the equation.

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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

What does 0.2 in the highlighted cell mean?

jarptica [38.1K]

Answer:

Step-by-step explanation:

Answer:

Option B. 20% of her customers ordered appetizer but no dessert.

Step-by-step explanation:

We have to analyze a track report of the customers who ordered an appetizer and dessert.

In this track report highlighted cell is 0.2 which shows appetizer ordered with no order of dessert.

Therefore 0.2 means 20% of the customer ordered an appetizer but no dessert was ordered.