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vladimir1956 [14]
4 years ago
5

Use the system of equations to find how many

Mathematics
1 answer:
GenaCL600 [577]4 years ago
5 0

Answer: 17

Step-by-step explanation:

To break even your revenue must be equal to your cost.

So, 12x=170+2x

12x-2x=170

10x=170

x=170/10=17

So, Joan needs to sell 17 necklaces to break even.

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In a manufactory, there are two types of spoilages. It is found that 5% of spoilages are due to transformer spoilage, 8% are due
jok3333 [9.3K]

Answer:

   

Step-by-step explanation:

Let us denote probability of   spoilage as follows

Transformer spoilage = P( T ) ; line spoilage P ( L )

Both P ( T ∩ L ) .

Given

P( T )  = .05

P ( L ) = .08

P ( T ∩ L ) = .03

a )

For independent events

P ( T ∩ L ) =  P( T ) x  P ( L )

But  .03  ≠  .05 x .08

So they are not independent of each other .

b )

i )

Probability of line spoilage given that there is transformer spoilage

P L/ T ) = P ( T ∩ L ) / P( T )

= .03 / .05

= 3 / 5 .

ii )

Probability of transformer spoilage but not line spoilage.

P( T ) - P ( T ∩ L )

.05 - .03

= .02

iii )Probability of transformer spoilage given that there is no line spoilage

[ P( T ) - P ( T ∩ L ) ] / 1 - P ( L )

=  .02 / 1 - .08

= .02  / .92

= 1 / 49.

i v )

Neither transformer spoilage nor there is no line spoilage

= 1 - P ( T ∪ L )

1 - [  P( T ) +  P ( L ) - P ( T ∩ L ]

= 1 - ( .05 + .08 - .03 )

=  0 .9

8 0
3 years ago
What value of x makes the equation 1/9x+6=8 true
Mademuasel [1]

Answer:

18

Step-by-step explanation:

Subtract 6 from both sides so the equation becomes 1/9x=2. Multiply by the reciprocal on both sides (9)1/9x=2(9).

This cancels out to x=18

6 0
3 years ago
6.-Un submarino está 32 metros bajo el nivel del mar y un avión a 18
fomenos

Answer:

14 metros

Step-by-step explanation:

es el 32-18 y eso te da el respuesta

7 0
3 years ago
A recipe calls for 3/4 cup of butter. Angie wants to triple the recipe, but she has only 1 5/8.
Lyrx [107]
Let's start out by tripling the original recipe to see how much butter Angie needs.

\frac{3}{4} * 3 = total
\frac{3* 3}{4} = total
\frac{9}{4} = total
2 \frac{1}{4} = total

So we need 2 \frac{1}{4} cups of butter, but Angie only has 1 \frac{5}{8}. Let's subtract what Angie has from the total to see how much more she needs.

2 \frac{1}{4}  -  1\frac{5}{8} = n
\frac{9}{4} - \frac{13}{8} = n
we will need the least common denominator for both fractions
\frac{2}{2} *(\frac{9}{4}) - \frac{13}{8} = n
\frac{18}{8} - \frac{13}{8} = n
\frac{5}{8} = n

So Angie need \frac{5}{8} cups more of butter for the recipe.

7 0
3 years ago
The sum of two numbers is 12. The difference of the same two numbers is 24. what is the larger of the two numbers
Vsevolod [243]

ANSWER


The larger number is 18

<u>EXPLANATION</u>

Let x be the larger number and y be the smaller  number.


Then,

x+y=12--(1)


x-y=24--(2)


Let us add equation (1) and (2).


2x=36


Divide through by 2


x=18


Put x=18 in to equation (1).

This implies that,

18=y=12



y=12-18=-6




4 0
3 years ago
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