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harkovskaia [24]
3 years ago
10

There are 19 green marbles in a box. The number of green marbles in the box is 6 more than half the number of red marbles in the

box. Write an algebraic equation to represent r, the number of red marbles in the box.
Mathematics
2 answers:
Lapatulllka [165]3 years ago
7 0

Answer Answer R= 2(G-6)

:G=19

G=.5R+6

19=.5R+6

-6=.5R-6

13.=.5R

Divide by 5

R= 26

Step-by-step explanation:

vfiekz [6]3 years ago
4 0

Answer:

r = 2(19-6)

Step-by-step explanation:

19 is the number of green. 19 also is equal to (r/2 + 6)

so 19 = r/2 + 6   rearrange for R = 2( 19-6)

subtract 6 from both sides, then multiply by 2 to cancel the denominator.

19 -6 = r/2     13 = r/2

2(13) = r

r =26

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Read 2 more answers
A California licence plate consists of a sequence of seven symbols: number, letter, letter, letter, number, number, number, wher
tino4ka555 [31]

Answer:

There is a 44.73% probability that all symbols are different.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

There are 26 total letters and 10 total digits.

The plate has the following format:

number, letter, letter, letter, number, number, number

Total outcomes

Each number can have 10 values.

Each letter can have 26 values.

There are four numbers and 3 letters.

So there are

10^{4}*26^{3} = 175760000 possible plates

Desired outcomes

We cannot have repeated values.

So, for example, the first number can be any of the 10 digits. The second can be any of them, bar the first one. So 9 possible digits

The same logic for the letters, 26, then 25, then 24.

So there are

10*26*25*24*9*8*7 = 78624000 plates in which all symbols are different.

(a) What is the probability that all symbols are different

P = \frac{78624000}{175760000} = 0.4473

There is a 44.73% probability that all symbols are different.

7 0
3 years ago
Revenue
denis23 [38]

Answer:

Step-by-step explanation:

Given that a  small business assumes that the demand function for one of its new products can be modeled by

p=ce^{kx}

Substitute  the given values for p and x to get two equations in c and k

40 = ce^{1200k} \\45 = ce^{1000k}

Dividing on by other we get

\frac{45}{40} =e^{-200k} \\-200 k = ln (45/40) = 0.117583\\k = -0.000589

Substitute value of k in any one equation

45 = ce^{-0.589} \\c=45.02651

b) Revenue of the product is demand and price

i.e. R(x) = p*x = 45.02651xe^{-0.000589x}

Use Calculus derivative test to find max Revenue

R'(x) = 45.02651 e^{-0.000589x}-45.02651*0.000589 x e^{-0.000589x}\\

EquateI derivative to 0

1-0.000589x =0

x = 1698.037

When x = 1698 and p = 16.56469

7 0
3 years ago
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