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lbvjy [14]
2 years ago
12

1: Triple the quantity of a number “n” plus 4 equals 27. what would the expression look like?

Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
6 0

1: Triple the quantity of a number “n” plus 4 equals 27. what would the expression look like?

[ Triple the quantity of a number “n” ] 3n

[ plus 4 ] + 4

[ equals 27 ] = 27

[ all together ] <u>3n + 4 = 27</u>

<u />

<u>Solving:</u>

[ given ] 3n + 4 = 27

[ subtract 4 from both sides ] 3n = 23

[ divide both sides by 3 ] n = 7 \frac{2}{3}

 

2:Seventeen equals seven less than three times a number “n” what would the expression look like?

[ Seventeen equals ] 17 =

[ seven less than ] - 7

[ three times a number “n” ] 3n

[ all together ] <u>17 = 3n - 7</u>

<u />

<u>Solving:</u>

[ given ] 17 = 3n - 7

[ add 7 to both sides ] 24 = 3n

[ divide both sides by 3 ] 8 = n

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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Angle pwm is equal to angle pkm
Len [333]
<h3>Answer: 24 (choice C)</h3>

Assuming M is a midpoint of KW, this means that WM and KM are congruent

WM = KM

x+3 = 2(x-3) ... substitution

x+3 = 2x-6

2x-6 = x+3

2x-6-x = x+3-x .... subtract x from both sides

x-6 = 3

x-6+6 = 3+6 ... add 6 to both sides

x = 9

Use x = 9 to find the length of WM

WM = x+3 = 9+3 = 12

Which can be used to find the length of KM as well

KM = 2(x-3) = 2(9-3) = 2(6) = 12

both lengths are the same (12) as expected

This makes WK to be

WK = WM + KM

WK = 12 + 12

WK = 24

3 0
2 years ago
Read 2 more answers
businessText message users receive or send an average of 62.7 text messages per day. How many text messages does a text message
KiRa [710]

Answer:

(a) The probability that a text message user receives or sends three messages per hour is 0.2180.

(b) The probability that a text message user receives or sends more than three messages per hour is 0.2667.

Step-by-step explanation:

Let <em>X</em> = number of text messages receive or send in an hour.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em>.

It is provided that users receive or send 62.7 text messages in 24 hours.

Then the average number of text messages received or sent in an hour is: \lambda=\frac{62.7}{24}= 2.6125.

The probability of a random variable can be computed using the formula:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!} ;\ x=0, 1, 2, 3, ...

(a)

Compute the probability that a text message user receives or sends three messages per hour as follows:

P(X=3)=\frac{e^{-2.6125}(2.6125)^{3}}{3!} =0.21798\approx0.2180

Thus, the probability that a text message user receives or sends three messages per hour is 0.2180.

(b)

Compute the probability that a text message user receives or sends more than three messages per hour as follows:

P (X > 3) = 1 - P (X ≤ 3)

              = 1 - P (X = 0) - P (X = 1) - P (X = 2) - P (X = 3)

             =1-\frac{e^{-2.6125}(2.6125)^{0}}{0!}-\frac{e^{-2.6125}(2.6125)^{1}}{1!}-\frac{e^{-2.6125}(2.6125)^{2}}{2!}-\frac{e^{-2.6125}(2.6125)^{3}}{3!}\\=1-0.0734-0.1916-0.2503-0.2180\\=0.2667

Thus, the probability that a text message user receives or sends more than three messages per hour is 0.2667.

6 0
2 years ago
A student has some $1 and 5$ bills. He has a total of 15 bills that are worth $47. How many of each bill does he have?
Trava [24]

Answer:

Seven one dollar bills and eight five dollar bills.

Step-by-step explanation:

8 + 7 = 15 bills

8 x 5 = $40

7 x 1 = $7

40 + 7 = $47

47 dollars and 15 bills.

7 0
3 years ago
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Tpy6a [65]

Answer:

#UseSimplifiedExpression

Step-by-step explanation:

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2 years ago
What is <br> (x - 3)(x +9)
wel

Answer:

x^2 +6x-27

Step-by-step explanation:

7 0
2 years ago
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