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stepan [7]
3 years ago
11

Sam has $140 to shop with… He wants to buy a pair of jeans that cost $45 and then some rings. The Rings cost $16 each. If Sam pu

rchases the Jeans first, what is the maximum number of rings that Sam can purchase?
Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0

Answer:

5 rings

Step-by-step explanation:

sam can only buy 5 rings because each ring cost $16 and after he bought the jeans which cost $45 it left him with only $95. so if you times 16 and 5 it gives you 80 and if you times 16 and 6 it gives you 96 but sam only had $95 left so he could only buy 5 which cost him $80. that left him with an extra $15.

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Four triangles are shown. One side of each triangle lies on a ray, and the triangles are not drawn to scale. Based on these tria
Firdavs [7]

Answer:

x=120 so the third one

Step-by-step explanation:

x=98+22

x=120

3 0
3 years ago
Read 2 more answers
A scuba diving company currently charges $100per dive. On average, there are 30 customers per day. The company performed a study
Semenov [28]

A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write R=PC.

Per price increase is $20. So four price increase is $20*4=$80. Hence, price per dive is 100+80=$180.

Also per price increase, 2 customers are reduced from 30. For 4 price increases, 4*2=8 customers are reduced. Hence, total customers is 30-8=22.

So Total Revenue is:

R=180*22=3960


B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.

Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.

Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.

R=(100+2x)(30-2x)=-40x^{2}+400x+3000


C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y). That x value is given as x=-\frac{b}{2a}, where a is the coefficient of x^{2} and b is the coefficient of x. So we have,

x=-\frac{b}{2a}=- \frac{400}{(2)(-40)}=5

That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be 5*20=100. So the price that gives the greatest revenue is 100+100=200.

ANSWERS:

A. $3960

B. R=-40x^{2}+400x+3000

C. $200

4 0
3 years ago
A bowling leagues mean score is 197 with a standard deviation of 12. The scores are normally distributed. What is the probabilit
Bond [772]

Answer:

0.281 = 28.1% probability a given player averaged less than 190.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A bowling leagues mean score is 197 with a standard deviation of 12.

This means that \mu = 197, \sigma = 12

What is the probability a given player averaged less than 190?

This is the p-value of Z when X = 190.

Z = \frac{X - \mu}{\sigma}

Z = \frac{190 - 197}{12}

Z = -0.58

Z = -0.58 has a p-value of 0.281.

0.281 = 28.1% probability a given player averaged less than 190.

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If 9x = 63, then x = ___. (Only input whole number) Numerical Answers Expected! Answer for Blank 1:
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