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Mrrafil [7]
3 years ago
10

Find the sum: (n + 7) + (n - 14)

Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0

Answer:

<em>2n - 7</em>

Step-by-step explanation:

To get the sum you would combine like terms.

So:

n + n= 2n

7 + -14 = 7 - 14 = -7

Put it together:

2n - 7

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A box is filled with 2 brown cards,8 yellow cards, and 8 green cards. A card is chosen at random from the box. What is the proba
IgorLugansk [536]

2 brown, 8 yellow, 8 green, thus our sample space is 2+8+8 = 18.

What is the probability that the card is NOT yellow?  How many non-yellow are there?  well 2 + 8 = 10, favorable outcomes.

\bf \cfrac{\stackrel{\textit{favorable outcomes}}{10}}{\underset{\textit{sample space}}{18}}\implies \cfrac{5}{9}\implies 0.\overline{555}\qquad \approx \qquad 55.6\%

8 0
3 years ago
The temperature on the moon can reach 266 degrees F, and the nightime temperature can go as low as -292 degrees F. Find the diff
mixer [17]

Answer:

558

Step-by-step explanation:

|266  +  292|

=> | 558 |

=> 558

3 0
3 years ago
In ΔNOP, the measure of ∠P=90°, NP = 12, PO = 35, and ON = 37. What ratio represents the cosine of ∠O?
Oxana [17]

Answer:

35/37

Step-by-step explanation:

In this question, we are to calculate the ratio that represents the cosine of angle O

Firstly, please check attachment for diagram of the triangle.

Mathematically, the trigonometric term Cos means the ratio of the length of the adjacent to that of the hypotenuse

The hypotenuse is the longest length which is 37 which represents the length ON

The side adjacent to angle O is the side OP which is 35

Thus, the ratio representing the cosine of angle O is 35/37

6 0
3 years ago
                                         Three friends are renting
nexus9112 [7]

It is given that:

Monthly Rent = A

Total Money Paid to Landlord = Y

The landlord requires initial payment to include:

  • 1st month's rent
  • \frac{1}{2} month's rent or 50% of monthly rent for Security Deposit
  • 40% of monthly rent for  utility bills
  • 5% of monthly rent for health club
  • 13% of monthly rent per person for other services

Also, Total Amount Paid to the Landlord = $2574

Number of People Sharing the Apartment = 3

Basis the above information,

Y = (100% * A) + (50% * A) + (40% * A) + (5% * A) + (13% * A * 3)

⇒ Y = A + (0.5 * A) + (0.4 * A) + (0.05 * A) + (0.39 * A)

⇒ Y = A + (0.5 * A) + (0.4 * A) + (0.05 * A) + (0.39 * A)

⇒ Y = 2.34 * A

Substituting the value of Y to determine A

⇒ 2,574 = 2.34 * A

⇒ A = 1,100

Hence, the monthly rent is $1,100

7 0
3 years ago
I need help, 15 points!
Ira Lisetskai [31]

Answer:

3(a + 5b + 7c) and 2x(2 + 5y + 11z)

Step-by-step explanation:

3a + 15b + 21c

3(a + 5b + 7c)

4x + 10xy + 22xz

2x(2 + 5y + 11z)

7 0
3 years ago
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