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2 years ago

5.815 + 6.021 as a mixed number

Mathematics

2 answers:

tia_tia [17]2 years ago

3 0

<h2><u>Answer</u></h2>

11 209/250

<h2><u>Explanation</u></h2>

5.815 + 6.021

First add the numbers the way they are.

5.815

The whole number is 11.

11.836 = 11 + 0.836

0.836 = 836/1000

Dividing byy 4 we get,

0.836 = 836/1000 = 209/250

∴ 11.836 = 11 209/250

Nonamiya [84]2 years ago

3 0

In decimal form, the answer would be 11.836. However, you need it in mixed numbers. 11 and 836/1000 or, reduced, 11 and 209/250

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Use the method of your choice to determine the probability below. Being dealt three sixes off the top of a standard deck of well

Dmitry_Shevchenko [17]

Answer:

1/5525

Step-by-step explanation:

We now that a standard deck has 52 different cards. Also we know that a standard deck has four different suits, i.e., Spades, Hearts, Diamonds and Clubs. We can find the following cards for each suit: Ace, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen and King.

Now, the probability of getting any of these cards off the top of a standard deck of well-shuffled cards is 1/52. As we have 4 different sixes, we have that the probability of getting a six is 4/52. When we get a six, in the deck only remains 3 sixes and 51 cards, so, the probability of getting another six later is 3/51. When we get the second six, in the deck only remains 2 sixes and 50 cards, so, the probability of getting the third six is 2/50. As we have independet events, we should have that the probability of getting 3 sixes off the top of a standard deck of well-shuffled cards is

(4/52)(3/51)(2/50)=

24/132600=

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1/5525

8 0

3 years ago

Evaluate the numerical expression 9-(3×2)+8

weeeeeb [17]

9-(3×2)+8
9-6+8
3+8
11
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6 0

3 years ago

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Need help with this im confused

Jet001 [13]

Answer:

$-\frac34 -\frac14 i$

Step-by-step explanation:

Let's start with distributing: $\frac1{4i}-\frac{3i}{4i}$ Simplify i with i in the second term, and rearrange. $-\frac34 +\frac1{4i}$ . Since i in the denominator looks ugly, let's multiply top and bottom by i. $-\frac34 +\frac i{4i^2} = -\frac34 +\frac i{4(-1)} =-\frac34 -\frac14 i$ . The middle passage is based on the fact that, by definition, $i^2=-1$

6 0

3 years ago

I need help please.

Ivan

1. It is given that f(x) is 16 times the square root of x.

Putting that in mathematical terms we have,

f(x) = 16 * $\sqrt{x}$

also, y = f(x)

So, we have the function

y= 16 $\sqrt{x}$

4. We need to solve the inequality equation : 4x + 2y ≤ 6

Let us take the equation,

4x+2y ≤ 6

2y ≤ 6-4x

y ≤ $\frac{6-4x}{2}$

y ≤ 3-2x

So, any point (x,y) lies on the given inequality region, where y≤ 3-2x

5. Solving system of equations using addition method

Given:

-5x-y =38 ------> a

-6x-3y =60 -------> b

Divide the equation b by no. 3

(-6x-3y)/3 = 60/3

-2x-y = 20 -------> c

Subtracting equation c from a we have,

-5x-y - (-2x-y) = 38 - 20

-5x-y+2x+y = 18

-3x = 18

x = -6

Now, substituting the value of x in equation a, we get

-5(-6) - y =38

30-y =38

y= 30-38 = -8

y=-8

∴ x = -6 and y = -8

6. Finding composition of functions

Given : f(x) =15x + 7 ; g(x) = x² - 5x

To find : (f+g)(x)

(f+g) (x) = f(g(x))

So, replace the value of x in f(x) by g(x), where g(x)= x² - 5x

(f+g)(x) = 15(x²-5x) +7 =15x²-75x+7

∴ (f + g)(x) = 15x²-75x+7

7. System of 3 equations must be solved to find the solution

-8x-8y-5z=-6

7x-8y-9z =17

9x+2y+6z =-1

Solving by substitution method.

Isolate x from first equation :

x= (-6+8y+5z)/(-8)

Substitute this value of x in 2nd and 3rd equations.

$7 (- \frac{-6+8y+5z}{8})-8y -9z = 17$

$9(- \frac{-6+8y+5z}{8}) + 2y + 6z = -1$

Now, isolating y from the 2nd equation rewritten above, we have

y= - $\frac{107 z + 94}{120}$

Now substituting this value of y in the 3rd equation rewritten above, we have

$9(- \frac{-6+8(-\frac{107 z + 94}{120})+5z}{8}) + 2(-\frac{107 z + 94}{120}) + 6z = -1$

Isolating z from above equation, we have

z = -2

Substitute z= -2 in the equation of y, we have

y= - $\frac{107 (-2) + 94}{120}$ = 1

y = 1

Substituting the value of y and z, in the equation of x, we have

x= (-6+8(1)+5(-2))/(-8) = 1

x = 1

∴ x=1 ; y = 1 ; z = -2

8. 5x ≤ 7

Solving the above equation, we have

x ≤ 7/5

Please see attachment for the graph.

9. The given function is : g(y) = $\sqrt{y}$ -6

The domain is the set of values of y for which there can be a value of g(y).

Here g(y) can be real only if y is greater than or equal to 0.

∴ The domain of the given function is [0,∞) .

10. Given : y is a function of x.

Definition of function : A function is a relation that associates each element in the domain to one element of another set, the co-domain of the function.

∴ For each element x, in the domain, there is only one value of y in the range.

4 0

3 years ago

Please help asap will give brainliest!!!

Helga [31]

There is a 1/3 chance of the spinner hitting any letter then the next time it would be another 1/3 chance. You multiply these together and get 1/9 but this is not the answer because there is 1/9 of BOTH happening so you add 1/9 plus 1/9 and get 2/9. The answer is 2/9.

7 0

3 years ago

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