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fiasKO [112]
3 years ago
12

Simplify the following expression : 2 (2x-3)+5 (6x+1)

Mathematics
1 answer:
vivado [14]3 years ago
7 0
To simplify begin by distributing the multiplication outside the parenthesis: 
2(2x-3)+5(6x+1) =4x-6+30x+6 \\ 4x+30x=34x
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Tees and Cops
WINSTONCH [101]

If altogether they spent a total of $71,  and a cap cost $5, then the price of a t-shirt is $8. Option A is correct

From the question, we are told that all caps cost $5 each

Let the cost of each shirt be x:

If Andy bought a t-shirt and a cap for each of his six friends, there will be 6 shirts and 6 caps

If <u>Bob returned two caps and two t-shirts</u>, there will be 4 caps and 4 shirts left

If <u>Carl bought three t-shirts and returned a cap,</u> the number of caps remaining will be 3 caps and the number of shirts remaining will be 7 shirts

If they spent a total of $71, this means;

3(5) + 7x = 71

15 + 7x = 71

7x = 71 - 15

7x = 56

x = 56/7

x = 8

This shows that the price of a t-shirt is $8

Learn more here: brainly.com/question/16510024

3 0
2 years ago
The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)
Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}

Now, we have to find the quotient of the above expression.

So, here we go:

Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)

Now, we will divide the above simplest form with g(x):

\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2

Hence, the quotient is (x-2).


6 0
3 years ago
Read 2 more answers
Find the probability that the mean annual preciptiation will be between 32 and 34 inches. variable is normally distributed
liq [111]
Supposing, for the sake of illustration, that the mean is 31.2 and the std. dev. is 1.9.

This probability can be calculated by finding z-scores and their corresponding areas under the std. normal curve.  
                                                                     34 in - 31.2 in
The area under this curve to the left of z = -------------------- = 1.47 (for 34 in)
                                                                           1.9
                                                                      32 in - 31.2 in
and that to the left of 32 in   is               z = ---------------------- = 0.421
                                                                             1.9

Know how to use a table of z-scores to find these two areas?  If not, let me know and I'll go over that with you.


My TI-83 calculator provided the following result:

normalcdf(32, 34, 31.2, 1.9) = 0.267  (answer to this sample problem)

5 0
2 years ago
josh is on his way home in his car. He has driven 18 miles so far,which is two- thirds of the way home, what is the total length
marta [7]
In order to do this problem:
Divide
18/(2/3)=
27
The answer is 27 miles
6 0
3 years ago
Help me plz :))))) <br>​
Vika [28.1K]

Answer:

2 3 1 3

Step-by-step explanation:

7 0
3 years ago
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