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bearhunter [10]

3 years ago

11

Solve the system of equations using the Substitution Method (show work)

1 answer:

FromTheMoon [43]3 years ago

3 0

Since both equations have 3y, we will substitute 3y.
2x-3y = 20 eq 1
rearrange
2x - 20 = 3y
sub the value of 3y into eq2
11x + (2x-20) = -1
11x + 2x - 20 = -1
13x = 19
x =19/13

sub value of x into any equation
2(19/13) - 3y =20
38/13 - 20 = 3y
-222/13 = 3y
y = -74/13

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in a standard casino dice game the roller wins on the first roll if he rolls a sum of 7 or 11. what is the probability of winnin

Alborosie

<u>Answer-</u>

<em>The probability of winning on the first roll is </em><em>0.22</em>

<u>Solution-</u>

As in the game of casino, two dice are rolled simultaneously.

So the sample space would be,

$|S|=6^2=36$

Let E be the event such that the sum of two numbers are 7, so

E = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}

$|E|=56$

$\therefore P(E)=\dfrac{|E|}{|S|}=\dfrac{6}{36}$

Let F be the event such that the sum of two numbers are 11, so

F = {(6,5), (5,6)}

$|F|=2$

$\therefore P(F)=\dfrac{|F|}{|S|}=\dfrac{2}{36}$

Now,

$P(\text{sum is 7 or 11)}=P(E\ \cup\ F)=P(E)+P(F)=\dfrac{6}{36}+\dfrac{2}{36}=\dfrac{8}{36}=\dfrac{2}{9}=0.22$

8 0

4 years ago

HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT

lukranit [14]

Answer:

i belive it is 10

Step-by-step explanation:

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4 0

3 years ago

16 feet equal how many yards?

elixir [45]

We know that there are 3 feet in one yard. So, to find out how many yards is equivalent to 16 feet, we must divide this number by 3.

16/3 or 5 1/3

Therefore, 16 feet is equal to 16/3 or 5 1/3 yards.

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8 0

3 years ago

Read 2 more answers

In the rectangle below, SU= 4x-2, RT = 5x-10, and m ZSVT= 84º.

stepladder [879]

Answer:

RV = 15, ∠ VUR = 48°

Step-by-step explanation:

The diagonals of a rectangle are congruent , so

RT = SU , that is

5x - 10 = 4x - 2 ( subtract 4x from both sides )

x - 10 = - 2 ( add 10 to both sides )

x = 8

Then

RT = 5x - 10 = 5(8) - 10 = 40 - 10 = 30

The diagonals bisect each other , then

RV = 0.5 × 30 = 15

---------------------------------------------------------------

∠ RVU = ∠ svt = 84° ( vertical angles )

RV = UV ( diagonals are congruent and bisect each other )

Then Δ RVU is isosceles with base angles congruent , then

∠ VUR = $\frac{180-84}{2}$ = $\frac{96}{2}$ = 48°

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3 years ago

If sin theta = 3/5 and cos theta=4/5 what is tan theta

kolbaska11 [484]

Tan is sin over cos do tan they = (3/5)/(4/5) = 3/4

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