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lisabon 2012 [21]
3 years ago
12

A picture framer has a thin board 10 1/2 feet long. The framer notices that 2 3/8 feet of the board is scratched and cannot be u

sed. The rest of the board will be used to make small picture frames. Each picture frame needs 1 2/3 feet of the board. At most, how many complete picture frames can be made?
Mathematics
1 answer:
Anestetic [448]3 years ago
6 0

1. Find how many of the board can be used for picture frames:

10\dfrac{1}{2}-2\dfrac{3}{8}=\dfrac{21}{2}-\dfrac{19}{8}=\dfrac{21\cdot 4-19}{8}=\dfrac{65}{8}\ ft.

2. Each picture frame needs 1\dfrac{2}{3}=\dfrac{5}{3} feet of the board, then the farmer can complete

\dfrac{65}{8}:\dfrac{5}{3}=\dfrac{65}{8}\cdot \dfrac{3}{5}=\dfrac{39}{8}=4\dfrac{7}{8}

picture frames.

Answer: at most he can complete 4 picture frames.

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Answer:

Make sure you pass go!!!!!!!

Step-by-step explanation:

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There is no solution since they are both adding $10 to their accounts every week.
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3 years ago
In a random sample of 8 ​people, the mean commute time to work was 35.5 minutes and the standard deviation was 7.4 minutes. A 90
konstantin123 [22]

Answer:

Margin of Error = 5.4088 ;

Confidence interval = (30.1 ; 40.9)

Interval estimate are almost the same

Step-by-step explanation:

Given that :

Population standard deviation, σ = 9.3

Sample size, n = 8

Xbar = 35.5

Confidence level = 90%

The confidence interval:

Xbar ± Margin of error

Margin of Error = Zcritical * σ/sqrt(n)

Zcritical at 90% = 1.645

Margin of Error = 1.645 * 9.3/sqrt(8) = 5.4088

Confidence interval :

Xbar ± Margin of error

35.5 ± 5.4088

Lower boundary = (35.5 - 5.4088) = 30.0912 = 30.1

Upper boundary = (35.5 + 5.4088) = 40.9088 = 40.9

(30.1 ; 40.9)

T distribution =. (30.5 ; 40.5)

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4 0
3 years ago
1 poir
poizon [28]

9514 1404 393

Answer:

  $1790.99

Step-by-step explanation:

<u>Given</u>:

  $1625 is invested at an annual rate of 1.95% compounded quarterly for 5 years

<u>Find</u>:

  the ending balance

<u>Solution</u>:

The compound interest formula applies.

  FV = P(1 +r/n)^(nt) . . . Principal P at rate r for t years, compounded n per year

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The account ending balance would be $1790.99.

8 0
3 years ago
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Natasha_Volkova [10]

Answer:

Step-by-step explanation:

Let X= each ticket for adults and Y= each ticket for kids

x+y=548

6.50x+3.50y=2881

subtract x from each side leaving you with y= -x+548

Plug in for Y

6.50x+3.50(-x+548)=2881

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3x=963 .....divide by 3

X= 321 tickets for adults

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Y=227 childrens tickets

6 0
3 years ago
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