Can someone help me with these math questions?

Mathematics

1 answer:

maw [93]2 years ago

8 0

Answer:

1. SAS POSTULATE

2. ASA POSTULATE

3. SAS POSTULATE

4. SSS POSTULATE

5. SSA POSTULATE

6. AAS POSTULATE

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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

If the simple interest on $7000 for 10 years is $6300, then what is the interest rate? I will pick branliest answer with the

Roman55 [17]

Answer:

0.09

Step-by-step explanation:

So if you use the Simple interest equation it will begin with:
Interest total = Initial Amount of money x Interest rate per year x Years money is invested for.

Then substitute the values you have been given so:

$6300 = 7000 x Interest rate per year x 10.

This is simplifies to 6300 = 70,000 x Annual Interest rate

You can rearrange this to find the annual interest rate by dividing by 70,000:
$\frac{6300}{70000} = Interest\ rate$