How many rectangular prisms 8 inches long, 5 inches wide, and 2 inches high can fit into another rectangular prism that measures
1 answer:
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Answer: 91/288
Step-by-step explanation: To divide mixed numbers, first write the mixed numbers as improper fractions.
We can do this by multiplying the denominator by the whole number and then adding the numerator. Then, we put our new numerator over our old denominator.
So here, we can write 1 and 5/8 as the improper fraction 13/8 and we can write 5 and 1/7 as the improper fraction 36/7.
So here, we have 13/8 ÷ 36/7.
Dividing by a fraction is the same as multiplying by the reciprocal of that fraction.
So here, 13/8 ÷ 36/7 is the same as 13/8 × 7/36.
So now we are simply multiplying fractions and we do this by multiplying across the numerators and multiply across the denominators.
So now we have 91/288 which is in lowest terms.
This means that 1 and 5/8 divided by 5 and 1/7 is 91/288.
The graph of the two given system of inequalities y > 2x - 5
y < -3x is; Attached below
<h3>How to graph Inequalities?</h3>We are given two inequalities;
y > 2x - 5
y < -3x
The graph that represents the 2 inequalities has been attached and from the graph, we see that;
- The slope of the dotted line is negative
- The x- intercept of the dotted line is the point (0,0)
- The y- intercept of the dotted line is the point (0,0)
The solution of the system of inequalities is the shaded pink area between the two dotted lines.
Read more about Inequality Graphs at; brainly.com/question/13635292
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