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BARSIC [14]
3 years ago
13

What is the solution to the system of equations? you must show all work to recieve full credit!

Mathematics
1 answer:
earnstyle [38]3 years ago
5 0
Use the substitution method:
2x - 6y = -12
x - 2y = -8
Then x = 2y - 8
Substitute in the first equation:
2(2y - 8) - 6y = -12
4y - 16 - 6y = -12
-2y = 4
y = -2
Now substitute y in one of the two equations given you prefer:
For example x-2*(-2) = -8
x + 4 = -8
x = -12
The solutions are x = -12 and y = -2
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Two assembly lines I and II have the same rate of defectives in their production of voltage regulators. Six regulators are sampl
Kamila [148]

Answer:

0.4546

Step-by-step explanation:

nCr = n!/(n-r)!r!

Number of ways of selecting the four defective voltage regulators from 12 =  12C4 = 12!/(12-4)!4! = 12!/8!4! = (12 *11*10*9)/(4*3*2*1)

12C4 =  495 ways

Number of ways of selecting 2 defectives from line 1 = 6C2 * 6C2

6C2 = 6!/(6-2)!2! = 6!/4!2! = (6*5)/(2*1) = 15

6C2 * 6C2 = 15*15 = 225 ways

Probability = Number of possible outcomes/ Number of total outcomes

Probability that exactly 2 of the defective regulators came from line 1 = 225/40.95 = 0.4546

4 0
4 years ago
Trig please help.
iris [78.8K]

Answer:

24, 40

Step-by-step explanation:

The area of a triangle is given by the formula

A=\frac{1}{2}bh

where

b is the length of the base

h is the length of the height

For the 1st triangle here, we have:

b = 6 is the base

h = 8 is the height

So, the area of the triangle is

A_1=\frac{1}{2}(6)(8)=24

For the 2nd triangle here, we have:

b = 8 is the base

h = 10 is the height

So, the area of the triangle is

A_2=\frac{1}{2}(8)(10)=40

4 0
3 years ago
The weight of water is 62 1/2 lb per cubic foot water that weighs 300 lb will fill how many cubic feet
Grace [21]
4.8 cubic feet.    300/62.5=4.8
8 0
4 years ago
sal is making bracalets for a fundraser he uses 6 inches of yarn per bracalet how many bracalets can sal make with 5 ft of yarn
Iteru [2.4K]

Answer:

10 bracelets

Step-by-step explanation:

we need to convert 5 ft to inches

1 ft = 12 inches

multiply by 5

5 ft = 60 inches

60 inches of yarn, 6 inches per bracelet

60/6 = 10

10 bracelets

6 0
4 years ago
27.) A customer went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The total bill was $53.50. Write and
Talja [164]

Answer:

c) The equation to find the price of each shrub is    $53.50 = 4 p + $17.50

The cost of 1 shrub = p =  $ 9.00

Step-by-step explanation:

The total number of shrubs purchased = 4

The price paid for potting soil = $17.50

The total bill of purchase = $53.50

Let us assume the cost of 1 shrub   = $p

The total amount spent of 4 shrubs = 4 x ( The price of each shrub)  =  4 p

TOTAL BILL = The amount paid for 4 shrubs +  AMOUNT paid for SOIL

⇒ $53.50 = 4 p + $17.50

Now. solving for p, we get:

53.50 - 17.50  = 4  p

or, 3 6  = 4 p

or, p = 36/4 = 9

or, p = 9

Hence, the cost of each shrub = $9

3 0
3 years ago
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