Plz help

The sum of three consecutive numbers is 27. The smallest of the numbers is

xeze [42]

Answer:

8

Step-by-step explanation:

let the numbers be x,x+1,x+2

x+x+1+x+2=27

3x+3=27

3x=27-3=24

x=24/3=8

8 0

2 years ago

Read 2 more answers

. Ravi plays a game in which he has to draw one ball from a box containing 3 Red, 4 white and 3 green balls. On drawing a white

Slav-nsk [51]

P(Ravi is rewarded Rs. 10) = 0.4

P(Ravi does not lose) = 0.7

P(Ravi pays a penalty) = 0.3

Step-by-step explanation:

Step 1 :

Probability of any event happening = Total number of favorable outcomes / Total number of outcomes

Step 2 :

(i) P (Ravi is rewarded Rs. 10) = P(Ravi selecting a white ball)

Total number of favorable outcomes = Total number of white balls = 4

Total number number of outcomes = 10

Probability of selecting a white ball = Total number of white balls/Total number of outcomes =4/10 = 0.4

Hence P (Ravi is rewarded Rs. 10) = 0.4

Step 3 :

(ii) P (Ravi does not lose)

Probability of Ravi not losing is probability of Ravi not selecting a Red ball [ because Ravi has to pay penalty only when he chooses red ball

P(Ravi selecting Red ball) = Total number of red balls/Total number of outcomes =3/10 = 0.3

Hence P (Ravi does not lose) = 1-0.3 = 0.7

Step 3 :

(iii)P (Ravi pays a penalty of Rs. 5)

P (Ravi pays a penalty of Rs. 5)= Ravi selecting a Red ball

P(Ravi selecting Red ball) = Total number of red balls/Total number of outcomes =3/10 = 0.3

Hence P (Ravi pays a penalty of Rs. 5) = 0.3

5 0

3 years ago

I could really use your help

nydimaria [60]

Answer:

x = $\frac{c-a}{5y}$

Step-by-step explanation:

Given

5xy + a = c ( isolate 5xy by subtracting a from both sides )

5xy = c - a ( isolate x by dividing both sides by 5y )

x = $\frac{c-a}{5y}$

8 0

3 years ago

NEED ANSWER

grandymaker [24]

Answer:

$\frac{x^{2}}{144}+\frac{y^{2}}{79.995}=1$

Step-by-step explanation:

An ellipse centered a point (h,k) has the following formula:

$\frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{b^{2}}=1$

The distance between foci is:

$2\cdot c = \sqrt{[8-(-8)]^{2}+(0-0)^{2}}$

$2\cdot c = 16$

$c = 8$

The center of the ellipse is:

$C(x,y) = (-8 + 8, 0 + 0)$

$C(x,y) = (0,0)$

The known vertex is on the horizontal axis of the ellipse. Then, the length of the semi-major axis is:

$a = \sqrt{(12-0)^{2}+(0-0)^{2}}$

$a= 12$

The length of the semi-minor axis is given by the following expression:

$c =\sqrt{a^{2}-b^{2}}$

$b = \sqrt{a^{2}-c^{2}}$

$b = \sqrt{12^{2}-8^{2}}$

$b \approx 8.944$

The equation of the ellipse is:

$\frac{x^{2}}{144}+\frac{y^{2}}{79.995}=1$

5 0

3 years ago

Solve the system of equations by adding. check your answer

sertanlavr [38]

Answer:

(-9,3)

Step-by-step explanation:

6x and -6x cancel, leaving us 12y=36 which means y=3. Then we can plug it back into our equations leaving us with x=-9.

5 0

3 years ago