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3 years ago

Camila has a points card for a movie theater.

Mathematics

1 answer:

Alex777 [14]3 years ago

4 0

<h3>Answer: 8 visits</h3>

========================================================

Explanation:

x = number of visits (some positive whole number)

2.5x = number of points earned for those x visits, ignoring bonus

2.5x+85 = number of points when adding on the 85 sign up bonus

We want that expression to be at least 105, which means we want it 105 or larger.

$2.5x+85 \ge 105\\\\2.5x \ge 105-85\\\\2.5x \ge 20\\\\x \ge 20\div 2.5\\\\x \ge 8\\\\$

So if x = 8 or larger, then she'll have 105 or more points.

Let's see if we get 105 when plugging in x = 8

2.5x+85 = 2.5*8+85 = 20+85 = 105

so that works out

Let's try something like x = 10

2.5x+85 = 2.5*10+85 = 25+85 = 110

I'll let you try other values of x.

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In short, she earns her first free movie ticket on the 8th visit.

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The Japanese Yen corresponds to the American Dollar. If the exchange rate is 150 Yen for 1 Dollar, then a Japanese car sold in A

Papessa [141]

Answer:

125,000

Step-by-step explanation:

Take the Japanese yen and divide by 12

1,500,000 divided by 12 = 125,000

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3 years ago

The difference of two trinomials is x2 − 10x + 2. If one of the trinomials is 3x2 − 11x − 4, then which expression could be the

12345 [234]

Answer:

$4x^2-21x-2$

Step-by-step explanation:

Given that:

Difference of two trinomials is $x^2 - 10x + 2$

One of the two trinomials is $3x^2 - 11x - 4$

To find:

The other trinomial = ?

Four options are:

$2x2 - x - 2 \\2x2 + x + 6 \\4x2 + 21x + 6\\ 4x2 - 21x - 2$

Solution:

Let the two trinomials be A and B.

Given A - B = $x^2 - 10x + 2$

B = $3x^2 - 11x - 4$

We have to find the other trinomial A.

A - B = $x^2 - 10x + 2$

A - ( $3x^2 - 11x - 4$ ) = $x^2 - 10x + 2$

$\Rightarrow$ A = $x^2 - 10x + 2$ + ( $3x^2 - 11x - 4$ )

$\Rightarrow$ A = $4x^2-21x-2$

So, the correct answer is $4x^2-21x-2$ .

3 0

3 years ago

27. The average hourly wage of workers at a fast food restaurant is $7.25/hr

morpeh [17]

Answer:

0.0668 = 6.68% probability that the worker earns more than $8.00

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

The average hourly wage of workers at a fast food restaurant is $7.25/hr with a standard deviation of $0.50.

This means that $\mu = 7.25, \sigma = 0.5$