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Aliun [14]
3 years ago
6

PLEASE HELP WITH THIS RSM QUESTION​

Mathematics
1 answer:
Lyrx [107]3 years ago
3 0

Answer:

x=(b+ac)/(2c-ab)

Step-by-step explanation:

Cross multiply:

2xc-ac=abx+b

Move the values with x to one side:

2xc-abx=b+ac

Factor out x:

x(2c-ab)=b+ac

Divide:

x=(b+ac)/(2c-ab)

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Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the
scoray [572]

9514 1404 393

Answer:

  • 7 forks
  • 20 spoons

Step-by-step explanation:

Let x and y represent the numbers of forks and spoons made, respectively.

The cost of materials is ...

  1.70x + 1.30y = 37.90

The revenue from sales is ...

  5.60x + 5.40y = 147.20

You can solve these by any of your favorite methods. A graph is attached. It shows the solution is (x, y) = (7, 20).

They made 7 forks and 20 spoons.

_____

<em>Additional working out</em>

The equation coefficients are not "nice" multiples of each other, so elimination  and substitution will require multiplying both equations by some numbers. If we're going to that trouble, we may as well use Cramer's Rule or a variation of the "cross multiplication method". The latter is relatively straightforward and can be easy to remember. It tells you the solution to ...

  ax +by +c = 0

  dx +ey +g = 0

is ...

  1/(ae-db) = x/(bg-ey) = y/(cd-ga)

Here, that becomes ...

  1/(1.70·5.40-5.60·1.30) = x/(1.30·(-147.20)-5.40·(-37.90))

  = y/(-37.90·5.60-(-147.20·1.70))

  1/1.9 = x/13.3 = y/38

  x = 13.3/1.9 = 7 . . . number of forks

  y = 38/1.9 = 20 . . . number of spoons

__

The above solution formula may be more easily remembered in terms of the cross-multiplication pattern that gives the method its name. When the coefficients are written in two rows of four, with the last being a repeat of the first:

  • a b c a
  • d e g d

each of the three denominators (of 1, x, and y) is the difference of products in adjacent columns, formed in an X fashion: ae-db, bg-ec, cd-ga. Note that the equations are written in "general" form, which is similar to "standard" form, but with all of the non-zero terms on the left of the equal sign. (This has the effect of changing the sign of the constants: 1.7x+1.3y=37.9 ⇒ 1.7x+1.3y-37.9=0)

8 0
2 years ago
Given the following triangles, what additional information is required in order to know that the triangles are congruent because
Soloha48 [4]

Answer:

The correct answer is : DCQ ( angle) = DCE (angle)

8 0
3 years ago
Read 2 more answers
Find the slope of a line through (4, 5) and (4, -5). Determine if the line is vertical, horizontal, or neither.
oksian1 [2.3K]

Answer:

Its a straight line

Step-by-step explanation:

4 0
3 years ago
Use the prism to answer the question. S in 2 in What is the surface area of the prism? O A 136 in2 B 192 in2 C 240 in2 D272 in2​
Vanyuwa [196]
Is there supposed to be a picture?? I see nothing im sorry. But i can help u cause this is just surface area, quite easy.
I will just give you the formula for surface area of a RECTANGULAR prism:
2 ( width x length + height x length + height x width) or just : 2 (wl + hl + hw)

Have a nice day
6 0
3 years ago
Read 2 more answers
Can someone help me with this please
pochemuha

Answer: No

Step-by-step explanation:

What we have to do is to substitute the values of x and y that we are given into the inequality:

x = 8

y = 7

y > 4x - 6

7 > 4(8) - 6

7 > 32 - 6

7 > 26

This is not true so it isn't a solution

3 0
3 years ago
Read 2 more answers
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