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3 years ago

5( x-3 ) + 2x =41 What is x?

Mathematics

2 answers:

Valentin [98]3 years ago

8 0

Answer:

Step-by-step explanation:

5 ( x - 3 ) + 2x = 41

5x - 15 + 2x = 41

5x + 2x - 15 = 41

7x - 15 = 41

7x = 41 + 15

7x = 56

x = 56 / 7

x = 8

Elena-2011 [213]3 years ago

3 0

Answer:

X=8

Step-by-step explanation:

Combine like terms: 5x + 2x = 7x

-15 + 7x = 41

Solving

-15 + 7x = 41

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 7x = 41 + 15

Combine like terms: -15 + 15 = 0

0 + 7x = 41 + 15

7x = 41 + 15

Combine like terms: 41 + 15 = 56

7x = 56

Divide each side by '7'.

x = 8

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The graph shows the location of point P and point R. Point R is on the y-axis and has the same y-coordinate as point P. Point Q

Mumz [18]

Answer:

n = 5

Step-by-step explanation:

Coordinate of P = (n,3)

R is on y-axis & the y-coordinate of P & R are equal. So coordinate of R = (3,0)

Coordinate of Q = (n,-2)

Using distance formula,

Distance between P & Q =

$\sqrt{ {( n - n}) ^{2} + {( 3- ( - 2) })^{2} }$

$= > \sqrt{ {(3 + 2)}^{2} } = \sqrt{ {5}^{2} } = 5$

Distance between P & R =

$\sqrt{ {(n - 0)}^{2} + {(3 - 3)}^{2} }$

$= > \sqrt{ {n}^{2} } = n$

But in question it is given that distance between P & Q is equal to the distance between P & R. So,

$n = 5$

8 0

2 years ago

What is the sign of sum and product

Tasya [4]

Answer:

Look below

Step-by-step explanation:

Sigma (summation) and Pi (product) notation are used in mathematics to indicate repeated addition or multiplication

$\pi$

Hope this helps

3 0

2 years ago

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 X = number of text messages receive or send in an hour.

The random variable X follows a Poisson distribution with parameter λ.

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

3 years ago

Amal Worked a total of 30 hours last week. On Saturday And Sunday He Worked 5 times as many hours than he worked the rest of the

Lilit [14]

Let x represent the number of hours he worked during the weekdays (not Saturday or Sunday).
If x is how much he worked on the weekdays and he worked 5 times as much on Sat and Sun, then hopefully you agree that on Sat and Sun he worked 5x hours.
So we have 5x hours on the weekends and x hours on the weekdays, so in total for the whole week we have 5x + x = 6x hours in total.
The question tells us that he worked 30 hours total, so 6x = 30
Divide both sides by 6 to isolate x and we have x = 5.
He worked 5 hours the rest of the week.

Hope this helps. If it does, please be sure to make this the brainliest answer! :)

8 0

2 years ago

What is y=-x-14 y=-8x

Marina86 [1]

Substitute y in the first equation.

-8x = -x - 14
+x +x

-7x = -14
-7x/-7 = -14/-7
x = 2

Now solve for y.

y = -18(2)
y = -36

Answer: (2, -36) or y = -36 and x = 2

6 0

2 years ago