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bogdanovich [222]
3 years ago
15

Michael is 4 years younger than twice his cousin, Damien’s age. The sum of their ages is 46. How old is Damien?

Mathematics
1 answer:
Verizon [17]3 years ago
4 0
Let x = The age of Michael
Let 2x-3 = The age of Michaels cousin
X+2x-3=46
x=16+1/3
X = 49 years

I think that’s the answer I’m not 100% sure though
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1 ln(1) + 2 ln(2) + 3 ln(3) + ⋯ + 10 ln(10)
Lapatulllka [165]

Answer:

\ln(1\cdot2^{2} \cdot3^{3}\cdot4^{4}   ...\cdot10^{10}   )

Step-by-step explanation:

By logarithm rules

\ln1+2\ln2+3\ln3+....+10\ln10\\\ln1+\ln2^2+\ln3^3+....\ln10^{10}\\\ln(1\cdot2^{2} \cdot3^{3}\cdot4^{4}   ...\cdot10^{10}   )

6 0
3 years ago
Nita gana $ 20 por semana paseando al perro de su vecino. También gana $ 2 por cada rosa que vende de su jardín de rosas. Nita q
Rudik [331]

Answer:

La situación está representada por el siguiente sistema:

y = 20+2\cdot x

y \ge 50

Donde:

x - Cantidad de rosas vendidas semanalmente.

y - Ganancia semanal, medida en dólares.

Step-by-step explanation:

De acuerdo con el enunciado, Nita gana una cantidad fija cada semana por pasear al perro de su vecino, con un monto de $ 20, mientras que gana en función de la cantidad de rosas a vender, con un valor unitario de $ 2. Si ella desea ganar al menos $ 50, por tanto, se requiere construir el siguiente sistema, conformado por una ecuación y una inecuación:

y = 20+2\cdot x (1)

y \ge 50 (2)

Donde:

x - Cantidad de rosas vendidas semanalmente.

y - Ganancia semanal, medida en dólares.

4 0
3 years ago
A computer can be classified as either cutting dash edge or ancient. Suppose that 86​% of computers are classified as ancient. ​
Leno4ka [110]

Answer:

(a) The probability that both computers are ancient is 0.7396

(b) The probability that all seven computers are ancient is 0.3479

(c) The probability that at least one of seven randomly selected computers is cutting dash edge is 0.6520.

Because the probability is about 65% is it not unusual that at least one of seven randomly selected computers is cutting dash edge, it's more likely than not.

Step-by-step explanation:

We know that 86​% of computers are classified as ancient. This means, if one computer is chosen at random, there is an 86% chance that it will be classified as ancient.

P(ancient)=0.86

(a) To find the probability that two computers are chosen at random and both are ancient​ you must,

The probability that the first computer is ancient is P(ancient)=0.86 and the probability that the second computer is ancient is P(ancient)=0.86

These events are independent; the selection of one computer does not affect the selection of another computer.

When calculating the probability that multiple independent events will all occur, the probabilities are multiplied, this is known as the rule of product.

Let A be the event "the first computer is ancient" and B the event "the second computer is ancient".

P(A\:and \:B)=P(A)\cdot P(B)=0.86\cdot 0.86=0.86^2= 0.7396

(b) To find the probability that seven computers are chosen at random and all are ancient​ you must,

Following the same logic in part (a) we have

Let A be the event "the first computer is ancient",

B the event "the second computer is ancient",

C the event "the third computer is ancient",

D the event "the fourth computer is ancient",

E the event "the fifth computer is ancient",

F the event "the sixth computer is ancient", and

G the event "the seventh computer is ancient"

P(A\:and \:B\:and \:C\:and \:D\:and \:E\:and \:F\:and \:G)=\\P(A)\cdot P(B)\cdot P(C)\cdot P(D)\cdot P(E)\cdot P(F)\cdot P(G) =(0.86)^7=0.3479

(c) To find the probability that at least one of seven randomly selected computers is cutting dash edge​ you must

Use the concept of complement. The complement of an event is the subset of outcomes in the sample space that are not in the event.

Let C the event "the computer is cutting dash edge".

Let A the event "the seven computers are ancient".

P(C)=1-P(A)=1-0.3479=0.6520

Because the probability is about 65% is it not unusual that at least one of seven randomly selected computers is cutting dash edge, it's more likely than not.

5 0
3 years ago
Please help me with this
AlladinOne [14]
(a)The amount of soil he had last week
(b) p/2+4=28
(c) 12 because 
(d) 12

8 0
3 years ago
Adriana is planning to ride the public bus to and from school this year. She wants to figure out how much it will cost her. The
lutik1710 [3]

Answer:

C is the dependent variable and r is independent

Step-by-step explanation:

Adriana can ride the bus any number of times she wants. No one is stopping her from doing that so 'r' becomes an independent quantity.

Whereas, the total cost for the bus rides depends on the number of times Adriana rides the bus and the relation is given as, C=1.25r

This is because it costs $1.25 each time she rides the bus in one direction

4 0
3 years ago
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