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mr Goodwill [35]
3 years ago
6

Belle and Mabel are both 8-week-old puppies of different breeds. Belle has a mass of 12

Mathematics
1 answer:
balandron [24]3 years ago
6 0

Answer:

3:1

Step-by-step explanation:

Take the fraction and simplify it:

12/4 = 3/1

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8k + 2m = 3m + k<br><br> Solve for k
mina [271]
Minus both sides by 2m
8k = 3 m - 2m + k \\ 8k = m + k
Minus both sides by k
7k = m
Divided both sides by 7
k =  \frac{m}{7}
6 0
3 years ago
Write an equivalent algebraic equation for the sentence below.
tatuchka [14]

Answer:

x-7=13

Step-by-step explanation:

x-7= 13

hope that helps

5 0
3 years ago
A casino features a game in which a weighted coin is tossed several times. The table shows the probability of each payout amount
kkurt [141]

Answer:

The expected payout of the game is $230.46.

Step-by-step explanation:

The given table is

Payout Amount :    $160       $4400      $145000      

Probability         :    0.146       0.024          0.0007

We need to find the expected payout of the game.

The formula for expected payout is

\text{Expected payout}=\sum n_iP(x_i)

where, n is amount and P(x) is probability of that event. The value of n is negative for loss.

Using the above formula we get

\text{Expected payout}=160\times 0.146+4400\times 0.024+145000\times 0.0007

\text{Expected payout}=23.36+105.6+101.5

\text{Expected payout}=230.46

Therefore the expected payout of the game is $230.46.

6 0
3 years ago
In the parabola y = (x + 12 + 2, what is the vertex?
VladimirAG [237]

Answer:

The vertex is the point (-6,-34)

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

In this problem we have

y=x^{2}+12x+2

Convert in vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

y-2=x^{2}+12x

Complete the square . Remember to balance the equation by adding the same constants to each side.

y-2+36=x^{2}+12x+36

y+34=x^{2}+12x+36

Rewrite as perfect squares

y+34=(x+6)^{2}

y=(x+6)^{2}-34

The vertex is the point (-6,-34)

4 0
3 years ago
What is the radius and diameter of the following circle
son4ous [18]
Radius is 11cm
diameter is 22cm
7 0
3 years ago
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