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4 years ago

Х+у= 20 3х – 3 = 30 Which of x and y satisfy this system of equations?

Mathematics

1 answer:

butalik [34]4 years ago

8 0

Answer:

x = 11, y = 9

Step-by-step explanation:

Given the 2 equations

x + y = 20 → (1)

3x - 3 = 30 → (2)

In (2) add 3 to both sides

3x = 33 ( divide both sides by 3 )

x = 11

Substitute x = 11 into (1)

11 + y = 20 ( subtract 11 from both sides )

y = 9

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Simon has a certain length of fencing to enclose a rectangular area. The function A models the rectangle's area (in square meter

ss7ja [257]

Answer:

The maximum area is 1,600 square meters

Step-by-step explanation:

<u><em>The complete question is</em></u>

What is the maximum area possible?

The given function area is modeled by A(w)=-w(w-80)

we know that

The given function is a vertical parabola open downward

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The y-coordinate of the vertex represent the maximum area

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4 years ago

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3 years ago

A tool box contains 12 bolts and 10 nuts. If a handyman grabs 8 items randomly, what is the probability that he gets four bolts

belka [17]

Answer:

(c) 0.325

Step-by-step explanation:

Given,

The number of bolts = 12,

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Total items = 12 + 10 = 22

Thus, the number of ways of choosing 8 items out of 22 items = C(22,8)

Now, the number of ways of choosing 4 bolts and 4 nuts = C(12, 4) × C(10, 4)

Hence, the probability of getting four bolts and four nuts

$=\frac{\text{ways of choosing 4 nuts and 4 bolts}}{\text{Total ways of choosing 8 items}}$

$=\frac{C(12,4)\times C(10,4)}{C(22, 8)}$

$=\frac{\frac{12!}{4!8!}\times \frac{10!}{4!6!}}{\frac{22!}{8!14!}}$

$=\frac{495\times 210}{319770}$

$=0.325077399381$

$\approx 0.325$

Therefore, option (c) is correct.

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4 years ago