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miss Akunina [59]
3 years ago
14

Mr cruz cut three pieces of wood for a project .The first piece of lumber is the longest.The second is 7/8 times as long as the

first piece . the third piece is 12 5/16 inches shorter than the second piece the their piece is 24 7/16 inches long
A)How long is the first piece of wood?
B)How much wood did Mr cruz use to make all 3 pieces?
c)Mr cruz has 32 ft of lumber left he wants to cut 4 more of each of the pieces described above does he have enough lumber?justify your answer
Mathematics
1 answer:
madreJ [45]3 years ago
3 0

1st piece is the longest

 2nd piece is 24 7/16 + 12 5/ 16 = 36 3/4 inches long

3rd piece is 24 7/16 inches

 2nd piece is 7/8 as long as first piece so divide the length of the 2nd piece by 7/8

3 3/4 / 7/8 = 42 inches

A) 1st piece is 42" long

 B) now add them all: 42 + 36 3/4 + 24 7/16 = 103 3/16 inches total

C) 103 3/16 inches / 12 = 8.6 feet

8.6 x 4 = 34.4 feet, he has 32 feet so he does not have enough to cut 4 more of each size.

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Answer:

B - 181/500

Step-by-step explanation:

To convert percentages to fractions you divide by 100. That would make this 36.2/100. But we dont like fractions with decimal points in so you would multiply the whole thing by 5 to get rid of the .2 this makes the answer 181/500

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Explanation:
To answer this question, we will simply multiply each term from the first bracket by each term from the second and then combine like terms to get the final expression.

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Choose the best score on a quiz. 24 points out of 42 24 points out of 42 75 points out of 135 75 points out of 135 150 points ou
stellarik [79]

Answer:

150/250

Step-by-step explanation:

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6 0
3 years ago
45% of the population of a city are men
leonid [27]

Answer:

\boxed{\textsf{ The number of children is \textbf{24150}.}}

Step-by-step explanation:

Given that the 45% of the population of a city are men and 15% are children . The number of women is 64,400 . And we need to find the number of children . Here ,

\sf\implies Percentage_{(men)}= 45/% .\\\\\sf\implies Percentage_{(children)}= 15\% .

So the percentage of women will be equal to [ 100 - ( 45 -15) ]% = [ 100 - 60 ]% = 40% .

So let us take the total number of people be x . So ,

\purple{\bigstar}\underline{\underline{\boldsymbol{ According\ to \ Question :- }}}

\sf\implies 40\% \ of \ x \ = \ 64,400 \\\\\sf\implies \dfrac{40x}{100}= 64,400 \\\\\sf\implies x =\dfrac{64,400\times 100}{40}\\\\\sf\implies \boxed{\pink{\sf x = 161,000 }}

\rule{200}2

<u>The </u><u>percentage</u><u> of</u><u> </u><u>children </u><u>=</u><u> </u><u>1</u><u>5</u><u>%</u><u> </u><u>:</u><u>-</u>

\sf\implies Number_{(children)}= 15\% \ of 161,000\\\\\sf\implies Number_{(children)}= \dfrac{15}{100}\times 161,000 \\\\\sf\implies \boxed{\pink{\frak {Number_{(children)}= 24150 }}}

5 0
3 years ago
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