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katrin [286]
2 years ago
11

At the clothing store, 1/8 of the clothes are shirts. Of the shirts 1/4 are green. What fraction of the clothing in the store ar

e green shirts?​
Mathematics
1 answer:
givi [52]2 years ago
8 0

Answer:

1/32

Step-by-step explanation:

So we know that green shirts can be represented by 1/4 of 1/8. It's 1/4 of the 1/8 of shirts in the store. The key word here is "of," which means multiplication.

So you can replace 1/4 of 1/8 with:

\frac{1}{4} x \frac{1}{8}

To multiply fractions, it's really simple: multiply the denominator with the denominator and the numerator with the numerator.

\frac{1}{4} x \frac{1}{8} = \frac{1}{32}

So 1/32 of the entire store is green shirts.

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Find the absolute maximum and absolute minimum for f (x )equals x cubed minus 2 x squared minus 4 x plus 2 on the interval 0 les
sineoko [7]

9514 1404 393

Answer:

  • maximum: 2
  • minimum: -6

Step-by-step explanation:

The extrema will be at the ends of the interval or at a critical point within the interval.

The derivative of the function is ...

  f'(x) = 3x² -4x -4 = (x -2)(3x +2)

It is zero at x=-2/3 and at x=2. Only the latter critical point is in the interval. Since the leading coefficient of this cubic is positive, the right-most critical point is a local minimum. The coordinates of interest in this interval are ...

  f(0) = 2

  f(2) = ((2 -2)(2) -4)(2) +2 = -8 +2 = -6

  f(3) = ((3 -2)(3) -4)(3) +2 = -3 +2 = -1

The absolute maximum on the interval is f(0) = 2.

The absolute minimum on the interval is f(2) = -6.

8 0
2 years ago
At leslie's school the ratio of boys and girls is 11 to 12 at marks school the ratio of boys girls is 41 to 48 if both schools h
Softa [21]

Answer: B. There are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.

Step-by-step explanation:

Here are the options:

A There are more boys at Mark's school than at Leslie's school because the ratio 11 to 12 is greater than the ratio 41 to 48.

B. There are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.

C. There are more boys at Leslie's school than at Mark's school because the ratio 41 to 48 is greater than the ratio 11 to 12.

At leslie's school the ratio of boys and girls is 11 to 12. This implies that the fraction of boys in the school to total students will be:

= 11/(11 + 12) = 11/23 = 0.4783

At Marks school the ratio of boys to girls is 41 to 48. Thus implies that the fraction of boys in the school to total students will be:

= 41 / (41 + 48) = 41/85= 0.4824

Based on the calculation, we can deduce that there are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.

6 0
3 years ago
a book store contains 75,972 books, divided in three sections: science, business, and math. thr science section represents 1/3 o
Pachacha [2.7K]

Given that total number of books in the book store = 75972

Given that total number of books in science section =\frac{1}{3} rd of total books =\frac{1}{3}*75972 = 25324

Then remaining number of books = 75972 - 25324 = 50648


Given that 75% of the remaining books are in business section = 75% of 50648 = 0.75*50648 = 37986

Then number of books in the math section = 50648 - 37986 =  12662


Hence final answer is 12662 books in the math section.

4 0
3 years ago
Read 2 more answers
If x(x - 5) = 14, then what is x equal to
Artyom0805 [142]

Answer:

x(x-5) = 14

x^2-5x-14 = 0

x^2 -7x+2x-14=0

x(x-7)+2(x-7)=0

(x+2)(x-7)=0

x = -2, 7

Hope this helps!

4 0
3 years ago
What is the height of the trapezoid if the Area = 77 ft²? The h we don't know but the base is 14 and the line on top is 8. pleas
velikii [3]

Answer:

h = 7.333....

Step-by-step explanation:

Formula is A = 1/2h(b1+b2)

Area 77 determine the height

77=1/2h(14+8)

77 = 1/2h(22)h

77/10.5 = 10.5h/1.5

solve for h = 7.333....

5 0
3 years ago
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