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ladessa [460]
3 years ago
15

Find the value of the combination.

Mathematics
1 answer:
borishaifa [10]3 years ago
4 0
It's past my bed-time and there's a whopping 5 points at stake, so
I'm going to violate my own #1 Prime Cardinal Rule here, and just
give a stripped down answer without going through a full explanation.

The number of combinations of 3 cows out of 7 is (7·6·5) / 3!  = 35 .

The number of combinations of 2 pigs out of 4 is  (4·3)/2  =  6

The number of combinations of 10 sheep out of 10 is  1 .

The number of ways he can select his animals is (35 · 6 · 1)  =  210 .
You might be interested in
Jeremiah currently has an account balance of $1624.35. His initial deposit on the account was $975 and it earned 3.7% simple int
Naya [18.7K]

Current Account Balance = $1,624.35

Initial Deposit = $975

Interest Rate (Simple) = 3.7% simple interest

Interest Earned = Current Account Balance - Initial Deposit

⇒ Interest Earned = $1,624.35 - $975

⇒ Interest Earned = $649.35

Now the Formula for Simple Interest is:

Simple Interest = ×\frac{\text{P x R x T}}{100}, where P is the initial deposit, R is the rate of interest and T is the time period

⇒ 649.35 = \frac{\text{975 x 3.7 x T}}{100}

⇒ T = \frac{\text{649.35 x 100}}{\text{975 x 3.7}}

⇒ T = 18

Hence, Jeremiah has had the account for 18 years.

6 0
3 years ago
If 2 tacos and 3 drinks cost $14, and 3 tacos and 2 drinks cost $16, how much does a taco cost?
jasenka [17]

Answer:

1 taco is $4

Step-by-step explanation:

2t + 3d = 14              4t + 6d = 28

3t + 2d = 16              -9t -6d = -48

-5t = -20

t = 4

7 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%283x%20%2B%204%29%20%20-%207%20log_%7B4%7D%7Bx%7D%5E%7B2%7D%20%20%2B%20%20log_%
olga2289 [7]

First of all, we need all logarithms to have the same base. So, we use the formula

\log_a(b)=\dfrac{\log_c(b)}{\log_c(a)}

To change the second term as follows:

\log_4(x^2)=\dfrac{\log_2(x^2)}{\log_2(4)}=\dfrac{\log_2(x^2)}{2}

Finally, using the property

\log(a^b)=b\log(a)

we have

\dfrac{\log_2(x^2)}{2}=\log_2(x)

So, the equation becomes

\log_2(3x+4)-7\log_2(x)+\log_2(x)=2 \iff \log_2(3x+4)-6\log_2(x)=2

We can now use the formula

\log(a)-\log(b)=\log\left(\dfrac{a}{b}\right)

to write the equation as

\log_2(3x+4)-6\log_2(x)=2 \iff \log_2(3x+4)-\log_2(x^6)=2 \iff \log_2\left(\dfrac{3x+4}{x^6}\right)=2

Now consider both sides as exponents of 2:

\dfrac{3x+4}{x^6}=4 \iff 4x^6-3x-4=0

This equation has no "nice" solution, so I guess the problem is as simplifies as it can be

5 0
4 years ago
The sum of two integers is 23 and the positive difference of the same two integers is 13. What is the product of these two integ
Lady_Fox [76]

Answer:

A) 90

Step-by-step explanation:

"The sum of two integers is 23" becomes

a + b = 23

"the positive difference of the same two integers is 13" becomes

a - b = 13        (difference means subtract)

Now solve the system..

a + b = 23

a - b = 13            *use addition or elimination method, since b has opposite coefficients...

2a = 36             ( we add the two equations together)

   a = 18             (divide by 2 on both sides)

Since a = 18,   18 + b = 23, gives us b = 5.     (18 + 5 = 23)

ab = (18)(5) = 90

7 0
4 years ago
How do I solve this using long division?
dolphi86 [110]

Answer:

{2x}^{2}  + 3x + 5

Step-by-step explanation:

<h2>hope this helps</h2>

.........

3 0
3 years ago
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