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mash [69]
4 years ago
14

mr. Bailey is the principal of the school with 465 students and 44 teachers. The librarian told Mr Bailey that there were 16 tim

es as many books in the library as their students in the school. How many books are in the library?
Mathematics
1 answer:
Ad libitum [116K]4 years ago
5 0

(465  \div 44) + (16 \times ur  \: answer
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Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph. if they
UkoKoshka [18]

Answer:

  45 minutes

Step-by-step explanation:

At 30 mph for 1/4 hour, Peter has a 7.5 mile head start. After he leaves, Mitchell closes that gap at the rate of 40-30 = 10 miles per hour. It will take him ...

  t = d/s

  t = (7.5 mi)/(10 mi/h) = 0.75 h

to catch Peter.

Mitchell will catch Peter in 45 minutes.

__

<em>Alternate Solution</em>

Another way to look at it is that Mitchell's 10 mph advantage is 1/3 of Peter's speed, so it will take 1/(1/3) = 3 times the period of Peter's head start:

  3 × 15 minutes = 45 minutes . . . for Mitchell to catch Peter

_____

You can write equations involving time and distance and see where the distances traveled become the same. You need to be careful choosing the time reference, since you're concerned with Mitchell's travel time. I personally prefer to work "head start" problems by considering the differences in time and speed, as above. This is where you end up using the equations approach, anyway.

4 0
3 years ago
The manufacturing cost of a cell phone was $136. Sellers first marked up the cost by 25 percent. Sales were poor, so sellers dec
lilavasa [31]
136×25%=136×25/100= 3 400/100=34
so the markeup value is
136+34= 170
170×17%=170×17/100=2 890/100=28.9
170-28.9=141.1
Selling price=136+170=306
8 0
4 years ago
Read 2 more answers
Identify the interval that is not equal to the other three. explain your reasoning
Marrrta [24]
The third one, 40-45 because the difference of the rest are 4, while that one is 5.
5 0
3 years ago
Photo attached! 10 points! Thank you in advance!!
Fantom [35]

ax^2+bx+c=0\\\\x^2+7x+9=3\qquad|\text{subtract 3 from both sides}\\\\x^2+7x+9-3=3-3\\\\\boxed{x^2+7x+6=0\to A.}

a=1,\ b=7,\ c=6

6 0
3 years ago
Read 2 more answers
Terri Clifford bought a Sunday dress for $36. The sales tax was 6%. Find the total cost of the dress.
Kipish [7]
Total cost is $38.16

Multiply 36 by 0.06 (2.16)
Add 2.16 to 36 (38.16)
6 0
3 years ago
Read 2 more answers
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