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Rudik [331]
3 years ago
10

(01.04 MC)Simplify the following expression: (−5)(−3)( 4)

Mathematics
2 answers:
Lemur [1.5K]3 years ago
8 0

Answer:

60

Step-by-step explanation:

-5(-3) = 15

15(4) =60

PilotLPTM [1.2K]3 years ago
3 0
(01.04 MC)Simplify the following expression: (−5)(−3)( 4)
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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
If the area of a circular pool is 300 square yards, what is its radius?
elixir [45]

Answer:

<h2>radius = 9.77 yards</h2>

Step-by-step explanation:

Since the pool is circular

Area of a circle = πr²

where

r is the radius

From the question

Area = 300 square yards

To find the radius substitute the value of the area into the above formula and solve for the radius

That's

300 = πr²

Divide both sides by π

We have

{r}^{2}  =  \frac{300}{\pi}

Find the square root of both sides

That's

r =  \sqrt{ \frac{300}{\pi} }

r = 9.7720502

We have the final answer as

<h3>radius = 9.77 yards</h3>

Hope this helps you

4 0
3 years ago
Find the length of the missing side. Leave your answer in simplest radical form.
lozanna [386]

Answer:

The other side is 7.48 yards.

Step-by-step explanation:

Given that,

Hypotenuse = 15 yards

One leg = 13 yards

We need to find the length of the other leg. We can use the Pythagoras theorem to find it such that,

H^2=b^2+h^2

Where

h is other leg

Put all the values,

h=\sqrt{H^2-b^2} \\\\h=\sqrt{(15)^2-(13)^2} \\\\h=7.48\ yd

So, the other side is 7.48 yards.

6 0
3 years ago
Help with this polynomial problem.​
Anastasy [175]

Answer:

i cannt see it

Step-by-step explanation:

3 0
3 years ago
In the late nineteenth century, the scientist Marie Curie performed experiments that led to the discovery of radioactive substan
gtnhenbr [62]

Answer:

Step-by-step explanation:

Half life is the time taken by a radioactive substance to reduce of half of its original size

If the half life of radium is 1600, this means that the original radioactive substance N0 have reduced to N0/2 after 1600 years

if we are given N0 = 1000grams

The amount of the substance that will remain after 1600 years will be N0/2 i.e 1000/2 = 500g

<em>Hence 500 grams of radium will be left after 600years</em>

5 0
3 years ago
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