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Alecsey [184]
4 years ago
12

How to set the answer up

Mathematics
1 answer:
Korolek [52]4 years ago
3 0

Let s and g represents the numbers of suits and gowns produced.

The number of zippers used is 2s+g.

The number of buttons used is 5s+8g.

In order to use all of the available zippers and buttons, we must have ...

  • 2s + g = 171
  • 5s + 8g = 576

Cramer's rule tells you the solution to the system

  • ax +by = c
  • dx +ey = f

Is given by

  • x = (bf-ey)/(bd-ea)
  • y = (cd-fa)/(bd-ea)

Using this rule on the equations for zippers and buttons, we have

... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72

... g = (171·5 -2·576)/-11 = -297/-11 = 27

72 suits and 27 gowns can be made from available zippers and buttons.

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Find the solution of this system of equations 10x-7y=-1 and -2x-7y=-25
Sergio039 [100]

Answer:

<h2>x = 2, y = 3 → (2, 3)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}10x-7y=-1\\-2x-7y=-25&\text{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}10x-7y=-1\\2x+7y=25\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad12x=24\qquad\text{divide both sides by 12}\\.\qquad x=2\\\\\text{Put it to the second equation}\\2(2)+7y=25\\4+7y=25\qquad\text{subtract 4 from both sides}\\7y=21\qquad\text{divide both sides by 7}\\y=3

8 0
4 years ago
Helps pls I will give the branliest
zhuklara [117]

Answer:

$0.45

Step-by-step explanation:

1 pint = 2 cups

so 2 pints = 4 cups, $1.80

so 1 cup is 1.80/4 = $0.45

3 0
3 years ago
A puppy weighs 9 newtons on Earth and about 2 newtons on the planet Namar. A girl weighs 400 newtons on Earth. About how many ne
serious [3.7K]

Hi there!

In order to answer your question, you'll need to use the cross product method (let's say that Newtons = N):

9N on Earth = 2N on Namar

400N on Earth = xN on Namar

(2 × 400) ÷ 9 = xN on Namar

800 ÷ 9 = xN on Namar

88.888.. = xN on Namar


Since your answer must be to the nearest Newton, I'm guessing that you need to round your answer to the nearest whole number. This means that since the number in the tenths column is more than 5 (could also be equal to 5), you need to round the number up.


88.888... rounded to the nearest whole number = 89


Your answer is: The girl weigh 89 newtons on Namar.


There you go! I really hope this helped, if there's anything just let me know! :)

4 0
4 years ago
karen's hobby is chemistry. for one experiment she used 3 liters of water and 3 empty beakers she poured 0.7 L into the frist be
Burka [1]

By subtracting the water poured into the first two beakers from the available water we conclude that the water left for the third beaker is 0.9 liters.

<h3>How to find the water left for the third beaker</h3>

In this question we know that Karen has 3 liters of water and poured 0.7 liters into the <em>first</em> beaker, 1.4 liters into the <em>second</em> beaker and we can determine the water left for the <em>third</em> beaker by subtracted the water poured into the <em>first two</em> beakers from the available water. The available volume is:

V = 3 L - 0.7 L - 1.4 L

V = 0.9 L

By subtracting the water poured into the first two beakers from the available water we conclude that the water left for the third beaker is 0.9 liters.

To learn more on subtractions: brainly.com/question/4319655

#SPJ1

5 0
2 years ago
For an integer x,x squared minus x will always produce an even value
yuradex [85]

Answer:

Step-by-step explanation:

Not exactly sure what your question is - I am assuming that it is something like:

Show/prove that for any integer x, x^2 - x is even.

Suppose that x is an even integer.  The product of an even integer and any other integer is always even (x = 2n, so x * y = 2 n * y which is even.  Therefore x^2 is even.  An even minus an even is even.  (The definition of an even number is that it is divisible by 2 or has a factor of 2.  So the difference of even numbers could be written as 2*( the difference of the two numbers divided by 2); therefore the difference is even)

Suppose that x is an odd integer.  The product of 2 odd numbers is odd - each odd number can be written as the sum of an even number and 1; multiplying the even parts with each other and 1 will produce even; multiplying the 1's will produce 1, so the product can be written as the sum of an even number and 1 - which is an odd number.  The difference between two odd numbers is even - the difference between the even parts is even (argument above), the difference between 1 and 1 is zero, so the result of the difference is even.

x^2 is therefore even if x is even and odd if x is odd; The difference x^2 - x is even by the arguments above.

5 0
3 years ago
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