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OLEGan [10]
3 years ago
12

Whats the best answer for this ???

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
3 0
Just simplify the given equation
y = 7.2 + 4(x-2)
y = 7.2 + 4x - 8
y = 4x - 0.8

Now they want to know the answer if X = 2
y = 4(2) - 0.8
y = 8 - 0.8
y = 7.2
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It takes machine A x hours to manufacture a deck of cards that machine B can manufacture in y hours. If machine A operates alone
nlexa [21]

Answer:

The expression that shows how long the two machines will operate simultaneously is:

\frac{y(100x-z)}{x+y}

Step-by-step explanation:

We know that:

x: hours to manufacture a deck of cards for machine A

y: hours to manufacture a deck of cards for machine B

z: hours that machine A operates alone

The number of decks manufactured only by machine A is:

\frac{z}{x}

So, the remaining decks are given by:

100-\frac{z}{x}=\frac{100x-z}{x}

Then, the combined rate of machines A and B would be:

\frac{1}{x} +\frac{1}{y} =\frac{x+y}{xy}

The work-rate formula is:

Amount= Rate \times Time

Hence, the time that the two machines work simultaneously is:

Time=\frac{Amount}{Rate}

Time=\frac{Amount}{Rate} =\frac{\frac{100x-z}{x} }{\frac{x+y}{xy} } ={\frac{100x-z}{x} \times \frac{xy}{x+y}=\frac{y(100x-z)}{x+y}

3 0
3 years ago
Which are the solutions of x2 = –11x + 4? StartFraction negative 11 minus StartRoot 137 EndRoot Over 2 EndFraction comma StartFr
Marysya12 [62]

Answer:

x_1=-\frac{11}{2}-\frac{\sqrt{137} }{2}\\\\x_2=-\frac{11}{2}+\frac{\sqrt{137} }{2}

Step-by-step explanation:

Given the following quadratic equation:

x^2 = -11x + 4

The steps to solve it are:

1. Move the terms to one side of the equation:

x^2+11x- 4=0

2. Apply the Quadratic formula x=\frac{-b\±\sqrt{b^2-4ac} }{2a}.

In this case we can identify that:

a=1\\b=11\\c=-4

Then, substituting these values into the Quadratic formula we get the following solutions:

x=\frac{-11\±\sqrt{11^2-4(1)(-4)} }{2(1)}

x_1=-\frac{11}{2}-\frac{\sqrt{137} }{2}\\\\x_2=-\frac{11}{2}+\frac{\sqrt{137} }{2}

3 0
3 years ago
Read 2 more answers
Write the expression nine divided by the quantity of x plus y
seropon [69]

9514 1404 393

Answer:

  \text{A)}\quad\dfrac{9}{x+y}

Step-by-step explanation:

In the English expression, you need to understand that "A divided by B" means that A is the numerator and B is the denominator of the fraction representing the division. Here, "B" is "the quantity of ...", which means that the stuff after "of ..." is to be treated as a single item, the denominator in this case. That item is "x plus y." So, the expression in math terms is ...

  \dfrac{9}{x+y}

When this is written in plain text, the "quantity" is put in parentheses, because the fraction bar no longer serves as a grouping symbol:

  9/(x+y)

These expressions match the first choice, A.

7 0
2 years ago
Find the slope of the line. Write your answer in simplest form
pychu [463]
The slope is 5/4. Hope this helps!
8 0
2 years ago
Read 2 more answers
The ____ theory proposes that the moon was a passing astriod pulled into orbit by earths gravity
aleksandr82 [10.1K]

Answer:

C. Capture theory

Step-by-step explanation:

- The capture theory states that the moon originated in some other part of the solar system and later it was captured by the gravitational pull of our planet.

- The co-formation theory states that the moon formed simultaneously with the earth from the same nebula that formed the solar system.

- The impact theory states the moon formed of a chunk of earth separated form it after a large meteorite impact.

-  The synchronous theory is not a theory about the formation of the moon.

We can conclude that the correct answer is C. Capture theory.

6 0
2 years ago
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