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Deffense [45]
3 years ago
15

Peter wants to purchase pizza pies and breadsticks for a party. The cashier tells him that pizza pies are $8 each and breadstick

s are $5 each. Peter cannot spend more than $120. Which of the following options models the number of pizza pies and breadsticks that Peter can purchase? Let y represent the number of pizza pies purchased and let x represent the number of breadsticks purchased. 5x + 8y ≤ 120 5x + 8y ≥ 120 8x + 5y ≤ 120 8x + 5y ≥ 120
Mathematics
2 answers:
kolezko [41]3 years ago
7 0
Apromixly this would equal 5x+8y<span>≤120</span>
sladkih [1.3K]3 years ago
6 0
The answer is 5x+8y<= 120
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Jayden buys a game for $10.67 and some batteries for $5.14 he pays with a twenty dollar bill estimate how much change he should
natima [27]

Answer:

4.19

Step-by-step explanation:

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3 years ago
A pizza chef begins to spin a constant volume of dough to make a pie by spinning and tossing the dough into the air, such that t
Alexxandr [17]

Answer:

a ) dAt/dt  =  50,24 in/min

dh/dt  =  -  0,125 in/min

Step-by-step explanation:

The area of the top is At :

At = π*r²

a)  Tacking derivatives with respect to time:

dAt/dt  =  2* π*r * dr/dt

At   t  =  t₁      r  = 16 in     and  dr/dt =  0,5

Then

dAt/dt  =  2*3,14*16*0,5   in/min

a ) dAt/dt  =  50,24 in/min

b) The volume of the cylinder is:

Vc =  π*r²*h     ( where h is the heigh of the cylinder )

Tacking derivatives with respect to time

dVc/dt  =  2* π*r*h*dr/dt  +  π*r²*dh/dt

But  dVc/dt  = 0  since the volume remains constant, then:

π*r²*dh/dt  = -  2* π*r*h*dr/dt

r*dh/dt  =  -  2*h*dr/dt

dh/dt  = - 2*0,5*2/16  in/min

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4 0
3 years ago
Please help me solve this:
frez [133]
X+0.5 could be an inequality to represent the possible weight of the second fish, unless you can tell me the weight of the first fish?
6 0
3 years ago
Read 2 more answers
The amount that households pay service providers for access to the Internet varies quite a bit, but the mean monthly fee is $50
Natali5045456 [20]

Answer:

(a) See Explanation

(b) \bar x =50 and \sigma_x = 0.8944

(c) The shape is normal

(d) P(\bar x > 55) = 0

Step-by-step explanation:

Given

\mu = \$50 -- mean

\sigma = \$20 --- standard deviation

n=500 --- sample size

Solving (a): The reason we can't determine the probability that an amount to access internet by a household will exceed $55.

The question says that a lot of households pay low rates, but the percentage of the households in this category is not given. This means that it is impossible to determine the shape of the distribution.

Hence, the probability cannot be calculated.

Solving (b): Sample mean and Sample standard deviation

The sample mean estimates the population mean

So:

\bar x =\mu

\bar x =50

The sample standard deviation is calculated as thus:

\sigma_x = \frac{\sigma}{\sqrt n}

\sigma_x = \frac{20}{\sqrt{500}}

\sigma_x = \frac{20}{22.36}

\sigma_x = 0.8944

Solving (c): The shape of the distribution.

We have:

n = 500 --- The sample size

According to Central limit theorem, When the sample size is greater than 30, then the shape of the distribution is normal.

<em>Hence, the shape is normal</em>

Solving (d): P(\bar x \ge 55)

Calculate the test statistic (t)

t = \frac{\bar x - \mu}{\sigma}

t = \frac{55 - 50}{0.8945}

t = \frac{5}{0.8945}

t = 5.590

So:

P(\bar x > 55) = P(t > 5.590)

Referencing the z table, we have:

P(t > 5.590) = 0

Hence:

P(\bar x > 55) = 0

5 0
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klasskru [66]
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