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4 years ago

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:

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,

$x+y=12--(1)$