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ira [324]
3 years ago
14

On a recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to th

e nearest gallon. The actual number of miles per gallon that Cindy's car got on this trip must have been between
A. 290/12.5 and 290/11.5
B. 295/12 and 285/11.5
C. 285/12 and 295/12
D. 285/12.5 and 295/11.5
E. 295/12.5 and 285/11.5
Mathematics
1 answer:
Pani-rosa [81]3 years ago
5 0

Answer:

D.  \frac{285}{12.5} and \frac{295}{11.5}.

Step-by-step explanation:

We have been given that one a recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to the nearest gallon.

The range of miles driven would be between 285 because number of miles in rounded to nearest 10 miles.

The range of gallons of gasoline would be 11.5 because number of gallons of gasoline in rounded to nearest gallon.

To find mileage, we will divide number of miles by number of gallons.

The possible number of gallons of gasoline will be 12.5 gallons for 285 miles to get the minimum number of miles.

Similarly, the possible number of gallons of gasoline will be 11.5 gallons for 295 miles to get the maximum miles.

Therefore, our required range would be \frac{285}{12.5} and \frac{295}{11.5}.  

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Graph the inequality in the coordinate plane:<br><br> x&lt;-3
tensa zangetsu [6.8K]

Answer:

Graph of the inequality x< -3 as shown below in the figure.

Step-by-step explanation:

Given the inequality: x < -3

Graph of this inequality as shown below in the figure.

All the points that are lie in the shaded area satisfy the equation x < -3 or

In other words, we can say that x can take any value less than -3 .

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Since there is a strict inequality i.e x < -3 , the points that lie on the line x = -3 does not satisfy the equation.

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8 0
3 years ago
80 students took a math test. If 44 students passed the test. What percent passed?
leva [86]

Answer: 55% of the students passed the math test

Step-by-step explanation: The fraction \frac{44}{80} represents the number of students who passed the math test out of all the students that took the test.

To find out what percent of the students that took the math test passed, we can turn the fraction \frac{44}{80} into a percent.

To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. So to write \frac{44}{80} as a percent, we need to find a fraction that is equivalent to \frac{44}{80} with a 100 in the denominator. We can do this by setting up a proportion.

\frac{44}{80} = \frac{n}{100}

Now, we can use cross products to find the missing value.

4,400 = 80n

÷80      ÷80

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Therefore, 55% of the students that took the math test passed it. This should make sense because 40/80 would be half and 44 students is only a little over 50%.

4 0
3 years ago
1. 9x + 16 = 4x - 19
Genrish500 [490]

Answer:

x=-7

Step-by-step explanation:

9x + 16 = 4x - 19

Subtract 4x from each side

9x-4x + 16 = 4x-4x - 19

5x+16 = -19

Subtract 16 from each side

5x+16 -16 = -19-16

5x = -35

Divide each side by 5

5x/5 = -35/5

x = -7

5 0
3 years ago
Read 2 more answers
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