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babymother [125]
2 years ago
7

A ten-foot-long board is cut into three pieces. The second piece is half as long as the first. The third piece is 4 feet longer

than the second. How long is the first piece?
Mathematics
1 answer:
VladimirAG [237]2 years ago
7 0
Let's say the second piece is x ft long
The first piece is 2x ft long
The third piece is x+4 ft long
All of the pieces should add up to 10ft
x+2x+x+4=10
4x= 6
x=1.5ft
The first piece is 2x ft long=3 ft long
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Which of the following is an arithmetic sequence?
zimovet [89]

-8~~,~~\stackrel{-8+2}{-6}~~,~~\stackrel{-6+2}{-4}~~,~~\stackrel{-4+2}{-2}\qquad \begin{cases} a_1=-8\\ d = +2 \end{cases}

6 0
2 years ago
An integer from 300 through 780, inclusive is to be chosen at random, find the probability that the number is chosen will have 1
exis [7]

Answer:

  • 93/481

Step-by-step explanation:

<u>Total number of integers from 300 through 780, inclusive:</u>

  • 780 - 299 = 481

<u>Number of integers with at least one of digit 1:</u>

  • Hundreds - 0,
  • Tens - 5*10 = 50 (31th, 41th, 51th, 61th, 71th)
  • Units - 4*9 + 7 = 43 (300 till 699 and 700 till 780)
  • So in total 50 + 43 = 93

<u>The probability is:</u>

  • P = favorable outcomes/total outcomes = 93/481
6 0
2 years ago
What is the quotient of 1,078 and 14
pantera1 [17]

Answer:

<u>77</u> is the quotient of 1,078 and 14.

Step-by-step explanation:

quotient is the answer to a division problem.

numerator/denominator = quotient

1,078/14 = quotient

1,078/14 = <u>77</u>

Have a nice day!

3 0
3 years ago
The planning committee at school has 10 members. Exactly four of these members are teachers. A four-person subcommittee with at
Kipish [7]

Answer:

865

Step-by-step explanation: The set of possibilities are:

Subcommittee  is of 4 people according to:

4  teachers    0 other member       total possibilities    1

3  teachers     1     teachers  C₄,₃  = 4   and  other member  6    6*4   =  24

2 teachers     2      C₄,₂  =  4!/2!  = 12    2 (om)    and  C₆,₂   =  6!/4!  = 30

30*12  = 360

1  teacher        3     (om)               4         and  C₆,₃ = 6!/3!   =  120

120*4  = 480

Total ways of committee    1  + 24  + 360 +  480  = 865

4 0
2 years ago
The price of a cup of coffee was $2.65 yesterday. today, the price fell to $2.50 . find the percentage decrease. round your answ
sergejj [24]
We must find the difference between prices. $2.65 - $2.50 = $0.15. Now we need to calculate what percent $0.15 is of $2.65. It is 5.7%! The price decreased, so it is a 5.7% decrease!
8 0
3 years ago
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