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umka21 [38]
2 years ago
12

9. A box of cereal is packaged and sold at a local

Mathematics
1 answer:
emmasim [6.3K]2 years ago
8 0

Answer:

288 Cubic Inches

Step-by-step explanation:

Assuming the cereal takes up 80% of the total volume of the box, you would take 80% of the total volume.

First, do Base x Width x Height for the volume of the box.

10 inches x 3 inches x 1 foot      (1 foot is 12 inches)

10 x 3 x 12 = 360

Now, take 80% of 360 cubic inches.

80% is 0.8 times a number

0.8 x 360 = 288

288 Cubic Inches

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sladkih [1.3K]

Answer:

Step-by-step explanation:

3 0
2 years ago
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2. Solve x - 19 <81. Then graph the solution.
mr_godi [17]

Answer:

x<100

Step-by-step explanation:

The given equation is :

x-19<81

Adding 19 to both sides of the equation.

x-19+19<81+19

x<100

It means the solution of the given equation is less than 100. Hence, the attached figure shows the graph for the given equation.

4 0
2 years ago
5 cups to 8 cups MATH HELP!
Nonamiya [84]

Answer:

If it's an addition problem then just add 3 cups

Step-by-step explanation:

There isn't too much context here buddy :p

6 0
3 years ago
A professor gives her 100 students an exam; scores are normally distributed. The section has an average exam score of 80 with a
frozen [14]

Answer:

6.18% of the class has an exam score of A- or higher.

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.

In this question, we have that:

\mu = 80, \sigma = 6.5

What percentage of the class has an exam score of A- or higher (defined as at least 90)?

This is 1 subtracted by the pvalue of Z when X = 90. So

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

Z = \frac{90 - 80}{6.5}

Z = 1.54

Z = 1.54 has a pvalue of 0.9382

1 - 0.9382 = 0.0618

6.18% of the class has an exam score of A- or higher.

4 0
2 years ago
Rocco has a weekly reading schedule, reading for 4.5 hours per day on some days and 3.5 hours per day on the other days. He read
AleksAgata [21]

Answer:

x = days he reads for 4.5 hours = 1 day

y = days he reads for 3.5 hours = 6 days

Step-by-step explanation:

Let

x = days he reads for 4.5 hours

y = days he reads for 3.5 hours

x + y = 7 (1)

4.5x + 3.5y = 25.5 (2)

From (1)

x = 7 - y

Substitute x = 7 - y into (2)

4.5x + 3.5y = 25.5 (2)

4.5(7 - y) + 3.5y = 25.5

31.5 - 4.5y + 3.5y = 25.5

- 4.5y + 3.5y = 25.5 - 31.5

-y = -6

y = 6

Substitute y = 6 into (1)

x + y = 7 (1)

x + 6 = 7

x = 7 - 6

x = 1

x = days he reads for 4.5 hours = 1 day

y = days he reads for 3.5 hours = 6 days

4 0
3 years ago
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