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xeze [42]
3 years ago
8

Roberto wants to display his 18 sports cards in an album . Some pages hold 2 cards and others hold 3 cards .

Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0

Answer:

Step-by-step explanation:

Assuming Roberto wants to completely fill each page that he puts cards in, this function describes the number of 2-card pages, a, and 3-card pages, b.

2a + 3b =18

Ricardo can fill up 9 2-card pages, and 6 3-card pages.

a=9, b=0

We must add 2 3-card pages at a time,so that we have an even number for the 2-card pages:

a=6, b=2

Add 2 to b once more:

a=3, b=4

One more time:

a=0, b=6:

Thus, Ricardo can display his figures in the following page combinations:

a=9, b=0

a=6, b=2

a=3, b=4

a=0, b=6

Remember that a= number of 2-card pages and b=number of 3-card pages

There are 4 different ways that Ricardo can arrange his figures in terms of what kind of pages he uses. 

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3 years ago
1) Which diagram shows the correct construction of a line parallel to line l and passing through point P?
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Option B is the correct construction of a line parallel to line l and passing through point P.

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Option B is the right answer.

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B4%7D%7B3%7D%20%3D5" id="TexFormula1" title="\frac{x+4}{3} =5" alt="\frac{x+4}{3}
Paul [167]
Multiple both sides by 3
X+4=15

X=15-4

X=11

5 0
2 years ago
Can someone explain how you got the answer!!
gavmur [86]

9514 1404 393

Answer:

  20 square units

Step-by-step explanation:

The area is given by the formula ...

  A = bh

where b is the base of the parallelogram, and h is the perpendicular distance between the parallel bases. Using the numbers from the figure, we have ...

  A = 5·4 = 20 . . . . square units

_____

<em>Additional comment</em>

You will notice this is the same formula as is used for a rectangle. You can consider the parallelogram to have the same area as a rectangle of these dimensions if you look at what happens when you cut the right triangle from the right end and add it to the left end. The result is a rectangle 5 units wide and 4 units high.

The same formula applies even if the skew is so great that the bases do not overlap. (That much skew would not result in a triangle of the kind shown in this diagram.)

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2 years ago
Rewrite as a simplified fraction:
bija089 [108]

Answer:

the answer is 1 & 32/99 (131/99)

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2 years ago
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