Multiply x5 by x2: A. x7 B. x4 C. x10 D. x3 E. x2.5

A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ

Ronch [10]

Answer:

The system of equations representing the situation are

$600a+1200p = 15,000$

$a+p = 16$

with solutions

$p =9$

$a = 7$

Step-by-step explanation:

Let us call $a$ the number of associates and $p$ the number of partners. If each associate costs $600 and each partner costs $1200, and it cost the law firm a total of $15,000, then we have

$600a+1200p = 15,000$ .

Since the law firm assigned at total of 16 lawyers, we have

$a+p = 16$ .

Thus, the system of equations representing the situation are

$600a+1200p = 15,000$

$a+p = 16$

And the solution to this system is found by solving for $a$ in the second equation and substituting its value in the first equation:

$a = 16-p$

$600(16-p)+1200p = 15,000$

$9600-600p+1200p=15,000$

$9600+600p=15,000$

$600p=5400$

$\boxed{ p=9}$

We put this value into $a+p = 16$ and solve for $a:$

$a+9=16$

$\boxed{a = 7}$

4 0

3 years ago

Explain why you can use a test point to determine which region or regions of the graph of an inequality should be shaded.

LenKa [72]

A curve divides a plane into two areas, one satisfying the inequality (shaded) and one that does not (unshaded). So we can pick a point on either side (not on the curve itself) and substitute its x- and y-coordinates into the inequality. If the substituted values make the inequality true, then that point is in the shaded area. Otherwise, that point is in the unshaded area.

5 0

3 years ago

Read 2 more answers

The image shows the energy that can be generated from the Earth's water and the pull of the Moon's gravity.

tester [92]

Answer:

It is tidal energy, which is a renewable resource

Step-by-step explanation:

Tidal energy is is the energy produced when interaction of earth water masses and Moon's gravitational pull takes place. when moon's gravitational pull occurs on ocean water, currents and motion is produced in ocean water which leads to rise in water. when earth rotates this rise in water meets the shallow region of water near the shore and hence tide is created. This motion of rise and fall of water stores energy which is called tidal energy.

Renewal source is one which does not gets depleted and is replenished by nature. It's quantity will not get reduced with consumption.

example is sunlight : sunlight is renewable energy as everyday day this energy is produced . no matter how much it is consumed on earth for a day. Next day it will be again produced by earth.

Since, tides are regularly occurring phenomenon hence they are source of renewable tidal energy produced by them

7 0

3 years ago

A store had 50 bottles of olive oil. Each week, 40% of the olive oil bottles were sold and 20 new bottles arrived in shipments.

Wittaler [7]

Answer:

f(n) = f(n − 1) ⋅ 0.6 + 20, n > 0

Step-by-step explanation:

Each week 40% of the olive oil bottles were sold. This means, each week 60% of the bottles were left. In addition to these, 20 new bottles arrived in shipments.

So, every week the number of shipments was:

60% of the shipments of previous week + 20

In equation form this can written as:

Shipments in a week = 60% of shipments of previous week + 20

For, nth week we can re-write this equation as:

f(n) = 60% of f(n - 1) + 20

or

f(n) = f(n - 1) ⋅ 0.60 + 20

For example for first week, replace n by 1 to find the number of shipments in week 1 and same goes for next weeks.

8 0

3 years ago

Read 2 more answers

Nearest hundred thousand 700,00 what is the exact number

coldgirl [10]

It`s either 100,000 because there is only four 0`s making it 70,000 or it`s 700,000 and you made a mistake of not typing that last zero in which case the question would be pointless to ask because the answer is in the question.

6 0

4 years ago