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VARVARA [1.3K]
2 years ago
11

ABC Game store sells new games, n, for $19 and used games, u, for $9. The store earned $7500 in revenue last month. The store so

ld 4 times as many used games as new games. Write a system of equations that represents this scenario.
Mathematics
1 answer:
Step2247 [10]2 years ago
7 0

Answer:

19n+9u=7500 and 4u-n

Step-by-step explanation:

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A cell phone company manufactured 2,710,450 cell phones last month. If the month has 30 days, about how many cell phones were ma
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Joanie wrote a letter that was 1 1/4 pages long. Katie wrote a letter that was 3/4 page shorter than Joanie's letter. How long w
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3 years ago
The graph relates the distance traveled by Train A, in miles, and the time taken, in hours. The table shows the distance travele
melomori [17]

Answer:A)

Yes, the relationship is proportional.

B)

66,000 miles.

Step-by-step explanation:

A)

Yes, the graph represents a proportional relationship.

Since, A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:  

y=kx

for some constant k , called the constant of proportionality .

As y=12000x hence the relationship is proportional.

B)

We calculate the equation of the graph with the help of two points on the graph namely (2,24000) and (4,48000) with the help of slope-intercept form of the line.

y=mx+c where m denotes the slope of the line and c denotes the y-intercept of the line.

Here when x=2 y=24000 and when x=4 y=48000

Hence, 24000=2x+c

and 48000=4x+c

on subtracting the above two equations we have:

m=12000 and c=0

Hence, the equation of line is y=12000x

Now the value at x=5.5 is:

y=12000×5.5=66,000

Hence, the number of miles the probe travels in 5.5. hours is 66,000 miles.

Step-by-step explanation:

4 0
2 years ago
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule t
MissTica

Answer:

A) 99.7% of people have an IQ between 64 and 136.

B) 5% of people have an IQ score less than 76 or greater than 124.

C) 16% of people have an IQ score greater than 112.

Step-by-step explanation:

The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.

A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.

B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.

C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.

8 0
3 years ago
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