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hodyreva [135]
2 years ago
8

Q: you want to spend $85 on books and video games.you order exactly 10 items in order to get free shipping.each book costs $10 a

nd each video game costs $25. How many video games will you buy
A.1
B.11
C.there is no solution to this system of equations
D.the solution to this system of equations
Mathematics
2 answers:
Marina86 [1]2 years ago
8 0
C there is no solution to this system of equations. 

Even if you did buy 10 books, that would up to 100$. 

If you need any more help, just ask. 
ella [17]2 years ago
8 0
C....You could buy 3 video games and 1 book...Or 6 books and 1 game...
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Modern Vehicles Company came up with two different plans for the next financial year. Plan Y: Increase vehicle production by 5%
ladessa [460]

Answer: plan Y will produce more vehicles after 4 years.

Step-by-step explanation:

1) Plan Y: Increase vehicle production by 5% every year. It means that the rate of production is in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term(years) in the sequence.

a represents the first term(number of vehicles in the present year) in the sequence.

r represents the common ratio.

From the information given,

a = 10000

r = 1 + 5/100 = 1.05

n = 4 years

Therefore, the sum of the vehicles produced in the first 4 years, S4 is

S4 = (10000 × 1.05^(4) - 1)/1.05 - 1

S4 = (10000 × 0.21550625)/0.05

S4 = 2155.0625/0.05

S4 = 43101 vehicles

2) Plan Z: Increase production by 300 vehicles every year. It means that the rate of production is in geometric progression. The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 4 years

a = 10000

d = 300

Therefore, the sum of the first 4 terms, S4 would be

S4 = 4/2[10000 × 2 + (4 - 1)300]

S4 = 2[20000 + (3)300]

S4 = 2 × 20900

S4 = 41800 vehicles

6 0
2 years ago
When Hiroto is writing, there is 0.92 probability that there will be no spelling mistakes on a page. One day, Hiroto writes an e
prohojiy [21]

Answer:

0.60

Step-by-step explanation:

Use binomial probability.

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

The probability of a mistake on at least one page is 1 minus the probability of making no mistakes.

P(at least 1) = 1 − P(none)

P = 1 − ₁₁C₀ (0.08)⁰ (0.92)¹¹⁻⁰

P = 1 − (0.92)¹¹

P = 0.60

8 0
2 years ago
The velocity v of blood that flows in a blood vessel with radius r and length ℓ at a distance r from the central axis is v(r) =
pogonyaev
v(r)=4P\eta\ell(R^2-r^2)

(assuming R is the radius of the vessel, and that 0\le r\le R)

The average velocity of the blood is given by

\displaystyle\frac1{R-0}\int_{r=0}^{r=R}v(r)\,\mathrm dr
=\displaystyle\frac{4P\eta\ell}R\int_{r=0}^{r=R}(R^2-r^2)\,\mathrm dr
=\dfrac{4P\eta\ell}R\left(\dfrac23R^3\right)
=\dfrac{8P\eta\ell}3R^2
7 0
2 years ago
General Hospital has noted that they admit an average of 9 patients per hour.
serious [3.7K]

Answer:

(a) The probability that during the next hour less than 3 patients will be admitted is 0.00623.

(b) The probability that during the next two hours exactly 8 patients will be admitted is 0.00416.

Step-by-step explanation:

<u>The complete question is:</u> General Hospital has noted that they admit an average of 8 patients per hour.

(a) What is the probability that during the next hour less than 3 patients will be admitted?

(b) What is the probability that during the next two hours exactly 8 patients will be admitted?

The above situation can be represented through Poisson distribution as it includes the arrival rate of the pattern. So, the probability distribution of the Poisson distribution is given by;

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

Here X = Number of patients admitted in the hospital

         \lambda = arrival rate of patients per hour = 9 patients

So, X ~ Poisson(\lambda = 9)

(a) The probability that during the next hour less than 3 patients will be admitted is given by = P(X < 3)

    P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

                  = \frac{e^{-9} \times 9^{0} }{0!} + \frac{e^{-9} \times 9^{1} }{1!} + \frac{e^{-9} \times 9^{2} }{2!}

                  = e^{-9}  +(e^{-9} \times 9)+ \frac{e^{-9} \times 81}{2}

                  = <u>0.00623</u>

(b) Here, \lambda = 9 \times 2 = 18 because we have to find the probability for the next two hours and we are given in the question of per hour.

So, X ~ Poisson(\lambda = 18)

Now, the probability that during the next two hours exactly 8 patients will be admitted is given by = P(X = 8)

    P(X = 8) =  \frac{e^{-18} \times 18^{8} }{8!}

                  = <u>0.00416</u>

3 0
2 years ago
You have $50 to spend on cold cuts for a party. Ham costs $5.99/lbs, and turkey costs $4.99/lbs. Write an equation in standard f
Bumek [7]

Answer:

The answer here is 5.99x + 4.99y <= 50

Step-by-step explanation:

x represents the number of pounds of ham you buy, and y represents the number of pounds of turkey you buy. Since you only have 50 dollars, the amount of money you spend has to be less than or equal to 50.

8 0
2 years ago
Read 2 more answers
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