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zloy xaker [14]
3 years ago
8

5(x −1) < 3x + 10 − 8x

Mathematics
2 answers:
vodka [1.7K]3 years ago
7 0

Answer:

Step-by-step explanation:

5x - 5 < -5x + 10

10x - 5 < 10

10x < 15

x < 15/10

x< 3/2

yawa3891 [41]3 years ago
5 0

Answer:

x < \frac{3}{2}

Step-by-step explanation:

I hope this help

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($23 dollars per person)The cost of the hall for the dance is $4000 dollars How many people must attend the dance to cover the r
garik1379 [7]

Answer:

174

Step-by-step explanation:

Rental Fee ÷ Cost of Ticket = # of people needed

$4000÷$23=173.9....

Can't have .9 of a ticket, so round up to 174.

# of people needed is 174

8 0
3 years ago
The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with l=0.0003
Dvinal [7]

Answer: 0.0497870 ; 0.87754

Step-by-step explanation:

Given that :

λ = 0.0003

Defining a continuous distribution function :

F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0

a. What proportion of the fans will last at least 10,000 hours?

P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870

b. What proportion of the fans will last at most 7000 hours?

P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)

1 - 0.12245642825 = 0.87754

3 0
3 years ago
g Given the system of equations: 15 c1 – 5 c2 – c3 = 2400 - 5 c1 + 18 c2 – 6 c3 = 3500 - 4 c1 - c2 + 12 c3 = 4000 (a) Calculate
denpristay [2]

Answer

(a)

A^{-1} = \frac{1}{3493}  \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}

(b)

A^{-1} b = \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}

Step-by-step explanation:

Remember that when you want to solve a problem like this, you express the equation as following

Ax = b

So, if you know the inverse of   A   then

x = A^{-1} b

For this case

A = \begin{pmatrix} 15 &&  5 && -1 \\ -5 && 18 && -6 \\ -4 && -1 && 12  \end{pmatrix}

Now for this case the inverse of A would be

A^{-1} = \frac{1}{3493}  \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}

Then when you multiply with the vector solution

A^{-1} b =  \frac{1}{3493}  \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix} * \begin{pmatrix} 2400 \\ 3500 \\ 4000 \end{pmatrix} = \frac{1}{3493}  \begin{pmatrix} 249500 \\ 1197600 \\ 1347300 \end{pmatrix}\\\\\\= \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}

So from that information you can conclude that  the solution to the system of equations is  x = 500/7   y = 2400/7  and z = 2700/7

7 0
3 years ago
Aiden arrived at the rocket display at 3:35 p.M and left at 3:49 p.M ava arrived at the rocket display at 3:30 p.M and left at 3
Ilya [14]
Ava spent 12 more minutes at the rocket display than aiden. aiden spent 14 minutes while ava spent 26 minutes. 26-14=12
3 0
3 years ago
Calculate the volume of the following figure​
Ivan

Answer:

24 units³

Step-by-step explanation:

Formula:

Volume (V) = length (l) × width (w) × height (h)

V=3×4×2=24 units³

3 0
2 years ago
Read 2 more answers
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