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posledela
4 years ago
14

Help help help help help help help

Mathematics
2 answers:
vova2212 [387]4 years ago
4 0
All together there are 48 + 30 books, which comes out to 78 books.  All discount packages contain the same number of books.

Think of the products of integers equal to 48:  3*16, 4*12, 6*8.  Are there more?

Think of the products of integers equal to 30:  3*10, 5*6, 2*15.  Are there more?

Think what these sets of factors have in common:  there could be 8 packages of 6 science books (48 books total); there could be 5 packages of 6 mysteries (30 total).   Doing this, we ensure that every package has the same number of books (6).  We can make (8+5), or 13, packages.

Check:  Does (6 books/package)(13 packages) = 78 books?  YES.
attashe74 [19]4 years ago
3 0

Answer:

6

Step-by-step explanation:

78/6=13

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Find the area using the given image.
ArbitrLikvidat [17]

Answer:

4.

Step-by-step explanation:

Area = 1/2 * base + height

= 1/2 * 2 * 4

= 4 unit^2.

3 0
2 years ago
What is the angle measure of an arc bounding sector with an area of 5pie square miles?
Snowcat [4.5K]

if the diameter is 20, the its radius must be half that or 10.

\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=5\pi \\ r=10 \end{cases}\implies \begin{array}{llll} 5\pi =\cfrac{\theta \pi (10)^2}{360}\implies 5\pi =\cfrac{5\pi \theta }{18} \\\\\\ \cfrac{5\pi }{5\pi }=\cfrac{\theta }{18}\implies 1=\cfrac{\theta }{18}\implies 18=\theta \end{array}

8 0
2 years ago
Which parent function is represented by the table?
galben [10]
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3 0
3 years ago
What is the ratio 18 to 27 written as a fraction and lowest terms
romanna [79]

Step-by-step explanation:

18:27

=18/27

=2/3 or 2:3

3 0
3 years ago
Find the diameter(s) of circle O.
schepotkina [342]

Answer:

The diameter of the circle O is <em>12 units</em>

Step-by-step explanation:

There is no data in the image provided. To better help you, I'm assuming we have an arbitrary value of  

BC=6\sqrt{2}

and the triangle B0C is right

<u>Relations in the Circle</u>

The diameter (D) is twice the radius (r) and the radius is the distance measured from the center of the circle to any point of the circumference.  

Since the triangle B0C has a right angle, BD is the hypotenuse and 0B=0C=r

Applying Pythagoras's theorem:

BC^2=r^2+r^2=2r^2

Thus we have

2r^2=(6\sqrt{2})^2

2r^2=72

r^2=36

r=6

The diameter of the circle O is D=2(6) = 12 units

5 0
3 years ago
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