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Stels [109]
3 years ago
15

Write 12 3/20 as a decimal number

Mathematics
2 answers:
never [62]3 years ago
5 0

Answer:

12.15

Step-by-step explanation:

3/20 = 15/100 = 0.15

Explanation:

Decimals are way of writing fractions which have denominators that are powers of 10

0.3 = 3/10

  0.38 = 38/100

  0.384 = 384/1000

etc

Find an equivalent fraction for 3/20

3/20× 5/5 = 15/ 100

This can now be written as

0.15

and the remaining whole twelve you are to add

so it would be 12.15

shepuryov [24]3 years ago
3 0

Answer:

12.15

Step-by-step explanation:

It is 12.15 because you  have 12, right? 3 divided by 20, gives you 15.

Another way you can use to find the answer is taking 3/20 from 12 3/20, and then 3/20 equals 15/100. As a decimal it will be 12.15

Hope this helps!

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Which equation in slope intercept represents the line that goes through the points (-1, 6) and (1, -2)
Afina-wow [57]

Answer:

D) y=-4x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-6)/(1-(-1))

m=-8/(1+1)

m=-8/2

m=-4

y-y1=m(x-x1)

y-6=-4(x-(-1))

y-6=-4(x+1)

y=-4x-4+6

y=-4x+2

3 0
3 years ago
Help me I'm stumped
abruzzese [7]

Answer:

What do ya need help with?

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Does 10,15,20 form a right triangle
sveta [45]
A right triangle can only be formed when you use the 3/4/5 rule.
The 3/4/5 rule is a^2 + b^2 = c^2.

We will use 10 for a, 15 for b, and 20 for c.

a^2 + b^2 = c^2

Plug in 10 for a, 15 for b, and 20 for c.

10^2 + 15^2 = 20^2

10^2 = 100

15^2 = 225

20^2 = 400

100 + 225 = 400
This is not applicable, as 100 + 225 = 325.

Your answer is:

No, 10,15,20 does not form a right triangle.

I hope this helps!
5 0
3 years ago
PetSmart.com sold the following varieties of dog food in June 2003.
aivan3 [116]

Let x  be the number of bags of Nature's Recipe Venison Meal & Rice Canine 20 percent protein, y be the number of bags of Nutro Max Natural Dog Food 27 percent protein and z be the number of bags of PetSmart Premier Oven Baked Lamb 25 percent protein a dog breeder buys. He  wants to make 300 pounds of a mix. Then

20x+17.5y+30z=300.

Now

  • in 20x pounds of Nature's Recipe Venison Meal & Rice Canine 20 percent protein is 0.2·20x=4x pounds of protein;
  • in 17.5y pounds of Nutro Max Natural Dog Food 27 percent protein is 0.27·17.5y=4.725y pounds of protein;
  • in 30z pounds of PetSmart Premier Oven Baked Lamb 25 percent protein is 0.25·30z=7.5z pounds of protein;
  • in 300 pounds of mix containing 22 percent protein is 0.22·300=66 pounds of protein.

Then 4x+4.725y+7.5z=66.

You get a system

\left\{\begin{array}{l}20x+17.5y+30z=300\\4x+4.725y+7.5z=66.\end{array}\right.

From the first equation z=10-\dfrac{2}{3}x-\dfrac{7}{12}y. Substitute it into the second equation:

4x+4.725y+7.5(10-\dfrac{2}{3}x-\dfrac{7}{12}y)=66.

Simplify it:

-x+\dfrac{7}{20}y=-9,\\ \\ 20x-7y=180.

y must be divided by 20, then

  • y=0, x=9, z=10-6=4;
  • y=20, x=16, z is not a whole number;
  • y=40, x=23,  z is not a whole number;
  • y=60, x=30, z=10-20-35<0;
  • thus, all other possible z will be <0.

Answer: 9 bags with 1st mix, 0 bags with 2nd mix and 4 bags with 3rd mix.

5 0
3 years ago
Let X be a random variable with probability mass function
Naya [18.7K]

Answer:

a. g(x) = ln(x).

b. g(x) = x*e^{xt}

Step-by-step explanation:

By the definition, the expected value of a random variable X with probability mass function p is given by \sum P(X=x)\cdot x where the sum runs over all the posible values of X. Given a function g, the random variable Y=g(X) is defined. Note that the function g induces a probability mass function P' given by P'(Y=k) = P(X=g^{-1}(k)) when the function g is bijective.

a. Note that for 1/3ln(2)+1/6ln(5) by choosing the function g(x) = ln(x) the expression coincides with E(g(x)), because if Y = g(x)  then E(Y) = P'(Y=1)*ln(1)+P'(Y=2)*ln(2)+P'(Y=5)*ln(5) = P(X=1)*ln(1)+P(X=2)*ln(2)+P(X=5)*ln(5).

b. On the same fashion, the function g(x) = xe^{xt} fullfills the expression of E[g(X)]

6 0
3 years ago
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