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Nastasia [14]
3 years ago
14

> There are 14 books on a shelf. 6 of these books are new. The rest of them are used (a) What is the ratio of new books to us

ed books? (b) What is the ratio of used books to all books on the shelf ​

Mathematics
1 answer:
Trava [24]3 years ago
5 0

Answer:

a) 6:8

Because you have 14 books total if you substract 14 - 6= 8, so now you have

14 Books total

6 New Books

8 Used Books.

So, the ratio of new books to used books is 6:8 or if you simplified is 3:4.

b) 8:14

Because you have 8 used books compare to 14 books total. If you simplified your fraction you'll have 4:7

Step-by-step explanation:

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"Rebecca walks 100 feet in a straight line. She then turns 20 degrees to her left and walks another 100 feet, and then turns 20
iragen [17]

Answer:

1,800 ft

Step-by-step explanation:

Rebecca will walk in the pattern of a regular polygon with 'n' sides and internal angles of 160 degrees (180 at a straight line - 20 degrees from each turn).

The equation that describes the internal angle of a regular polygon is:

A = \frac{(n-2)*180}{n}

For A = 160 degrees:

160n=(n-2)*180\\(180-160)n=360\\n=18\ sides

If each side is 100 ft long, the total distance that Rebecca has walked is:

d = 18*100\\d=1,800\ ft

She walked 1,800 ft.

5 0
3 years ago
A line passes through the points (7, 10) and (7, 20). Which statement is true about the line? It has a slope of zero because x 2
yaroslaw [1]

Answer:

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Step-by-step explanation:

Points:

  • (7, 10) and (7, 20)

Slope-intercept form:

  • y= mx+b

slope is:

  • m= (y2-y1)/(x2-x1)= (20-10)/(7-7)= 10/0,

denominator of the fraction is zero, we can't divide by zero, so this line has no slope

----------

It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.

  • no, numerator is not zero

It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

  • no, it has no slope

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.

  • no, numerator is not zero

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

  • yes
3 0
3 years ago
Read 2 more answers
Mary has walked 8 km, which is 55% of the total distance she will walk. How much farther
Viefleur [7K]

To find the total distance, Divide distance already walked by percentage:

8 / 0.55 = 14.55 km

She already walked 8 so now subtract:

14.55 - 8 = 6.55 km left to walk

3 0
3 years ago
I need help on 16 please
jonny [76]
I believe it would be 65
5 0
3 years ago
20. Three cards are selected form a standard deck of cards and not
frozen [14]

We have a probability of  \frac{13}{52}=\frac{1}{4} for the first card to be a diamond. Having drawn this first card <em>without replacement,</em> there are now 12 diamonds remaining in a deck of 51 cards, so the probability that the second card is a diamond, given that the first card was a diamond, is \frac{12}{51}=\frac{4}{17}. Similarly, for the third card, there are 11 diamonds in a deck of 50, so the probability of drawing a third diamond is \frac{11}{50}. Now, since these events are dependent, we multiply these three probabilities to get our answer of \frac{11}{850}.

6 0
3 years ago
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