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3 years ago

The table below summarises the number of books in some students' schoolbags.

Mathematics

1 answer:

aliya0001 [1]3 years ago

4 0

Answer:

Total number of students = 50 students.

Step-by-step explanation:

Total number of books = number of books * frequency

1 * 3 = 3

2 * 5 = 10

3 * 12 = 36

4 * 25 = 100

5 * 4 = 20

6 * 1 = 6

Total number of books = 3 + 10 + 36 + 100 + 20 + 6

Total number of books = 175 books.

Now, to find the total number of students;

Total number of students = summation of frequency

Total number of students = 3 + 5 + 12 + 25 + 4 + 1

Total number of students = 50 students.

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stepan [7]

Answer:

Max's paper airplane flew $\frac{77}{12}$ feet or $6\frac{5}{12}$ feet.

Step-by-step explanation:

As Nora's paper airplane flew 9 1/6 feet

i.e.

$9\frac{1}{6}=\frac{55}{6}$

Nora's paper was farther than Max's plane flew by = 2 3/4 feet

i.e.

$2\frac{3}{4}=\frac{11}{4}$

Thus the equation to show how far Max's paper airplane flew is:

$\:\:9\frac{1}{6}-2\frac{3}{4}$

$=\frac{55}{6}-\frac{11}{4}$

$\mathrm{Least\:Common\:Multiplier\:of\:}6,\:4:\quad 12$

$\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}$

$=\frac{110}{12}-\frac{33}{12}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$=\frac{110-33}{12}$

$\mathrm{Subtract\:the\:numbers:}\:110-33=77$

$=\frac{77}{12}$

$=6\frac{5}{12}$

Therefore, Max's paper airplane flew $\frac{77}{12}$ feet or $6\frac{5}{12}$ feet.

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If y varies directly as x^2 and y=12 when x=2, find y when x=5

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Step-by-step explanation:

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