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AlexFokin [52]
3 years ago
9

3x/4y • -8x/9 find the product. Simplify the answer.

Mathematics
1 answer:
katovenus [111]3 years ago
6 0

Answer:

-2x²/3y

Step-by-step explanation:

3x/4y • -8x/9

= 3x/9 • -8x/4y

= -2x²/3y

Hope it helps...

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Carlo and Anita make mailboxes and toys in their wood shop. Each mailbox requires 1 hour of work from Carlo and 4 hours from Ani
Katena32 [7]

Answer:

$80

Step-by-step explanation:

Let the number of hours required to make a mailbox = x

Let the number of hours required to make a toy = y

Each mailbox requires 1 hour of work from Carlo and 4 hours from Anita.

Each toy requires 1 hour of work from Carlo and 1 hour from Anita.

The table below summarizes the information for ease of understanding.

\left|\begin{array}{c|c|c|c}&$Mailbox(x)&$Toy(y)&$Maximum Number of Hours\\--&--&--&------------\\$Carlo&1&1&12\\$Anita&4&1&24\end{array}\right|

We have the constraints:

x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0

Each mailbox sells for $10 and each toy sells for $5.

Therefore, Revenue, R(x,y)=10x+5y

The given problem is to:

Maximize, R(x,y)=10x+5y

Subject to the constraints

x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0

The graph is plotted and attached below.

From the graph, the feasible region are:

(0,0), (6,0), (4,8) and (0,12)

At (6,0), 10x+5y=10(6)+5(0)=60

At (4,8), 10(4)+5(8)=80

At (0,12), 10(0)+5(12)=60

The maximum revenue occurs when they use 4 hours on mailboxes and 8 hours on toys.

The maximum possible revenue is $80.

5 0
3 years ago
A utility company offers a lifeline rate to any household whose electricity falls below 240 kWh during a particular month. Let A
3241004551 [841]

Answer:

A. 0.6

B. 0.3

Step-by-step explanation:

For part A we use the the general probability addition rule for the union of two events that states

P(A∪B) = P(A) + P(B) − P(A∩B)

Making P(A∩B) the subject of the equation above

P(A∩B) = P(A) + P(B) − P(A∪B)

P(A∩B) = 0.8 + 0.7 - 0.9

P(A∩B) = 0.6

B.

The description in terms of A and B is:

P(A but not B) + P(B but not A) = P(A∩B') + P(B∩A')

where A' is compliment of set A and B' is compliment of set B

The above description means either it exceeds in July or in January (exactly in one of the two months)

P(A∩B') = 0.8 − 0.6

P(B∩A') = 0.7 − 0.6

P(A∩B') + P(B∩A') = 0.3

4 0
3 years ago
What are my chances...
soldi70 [24.7K]

Answer:

<h2><u><em>0.1 </em></u></h2>

Step-by-step explanation:

  • G = 1
  • Total = 10

So

1/10 = 0.1

4 0
2 years ago
what is the surface area of a conical grain storage tank that has a height of 54 meters and a diameter of 18 meters
sweet [91]
If it is a cylinder, it should be 3562.57
3 0
3 years ago
Read 2 more answers
Find an ordered pair to represent a in the equation<br> a=2b+c if b=(6,3) and c=(-4,8)
zaharov [31]

Answer:

The ordered pair to represent a in the equation a=2b+c if b=(6,3) and c=(-4,8) is: a=(8,14)

Step-by-step explanation:

b=(6,3)

c=(-4,8)

a=2b+c

Replacing b and c in the equation above:

a=2(6,3)+(-4,8)

Multiplying:

a=(2*6,2*3)+(-4,8)

a=(12,6)+(-4,8)

Adding:

a=(12+(-4),6+8)

a=(12-4,14)

a=(8,14)

8 0
3 years ago
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