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vaieri [72.5K]
3 years ago
15

Mr. Trager has $500.00 to spend at a bicycle store. All prices listed below include tax.

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
8 0

Answer:

He can buy 2 outfits

Step-by-step explanation:

​How to arrive at the answer is: Since it says that Mr. Trager bought a new bike for $273.98. Subtract $ 273.98 from $ 500.00. The answer is $ 226.02. Then it says he bought 3 bike reflectors for $ 7.23.To find how much the bike reflectors cost, multiply 7.23 by 3. The answer is $21.69. Then subtract $ 21.69 from $ 226.02. The answer is $ 204.33. Then it says he bought a helmet for $ 42.36. Subtract $ 42.36 from  $ 204.33. The answer is $ 161.97. Then it says he plans to buy cycling outfits for $ 78.12 each. To find out how many he can buy, subtract $ 78.12 until you can't anymore. You can subtract $ 78.12 once and the answer is $ 83.85. It looks like we can subtract one more time. Then we subtract $ 78.12 again, and he has $ 5.73 left. We subtracted twice, so he can buy 2 outfits.

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15 pts!! Please help??
amid [387]
The answer is:  [D]:  0.211 .
____________________________________________________________
Explanation:
________________________
Given:  2(7)^(3x+1) = 48<span>; Solve for "x" (using "ln");
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First, divide EACH side of the equation by: "2" ;
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 </span>→ [<span>2(7)^(3x+1)] / 2 = 48 / 2 ;
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to get: </span> → 7^(3x+1) = 24 ;
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→ Now, take the "ln" of EACH side of the equation:
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→  ln [7^(3x+1)] = ln 24 ; 

→ (3x+1) ln 7 = ln 24 ; 

→  Divide EACH side of the equation by "ln 7" ; 

→  [(3x+1) (ln 7)] / ln 7 = (ln 24 / ln 7) ;

→ 3x + 1 = (ln 24 /ln 7)
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               (Using calculator, "(ln 24 / ln 7)" equals: "1.63319659538");
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→ 3x + 1 = 1.63319659538 ; 

→ Subtract "1" from EACH side of the equation; 

→ 3x + 1 − 1 = 1.63319659538 − 1 ; 

→ 3x = 0.63319659538 ; 

→ Now, divide EACH side of the equation by "3"; to isolate "x" on one side of the equation; and to solve for "x" ; 
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→ 3x / 3 = 0.63319659538 / 3 ;  (using calculator); 
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to get: 
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→ x = 0.2110655317933333  ; which is: 
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1) Which expression is equivalent to 1 + 3x + 3x? 7x 6x + 1 4x + 3 6x + 4​
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See below.

Step-by-step explanation:

1+3x+3x

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3 0
2 years ago
Find the volume of the cone in cubic feet. Use 3.14 for it and round your answer to the nearest tenth.
kenny6666 [7]
<h3><u>Ⲁⲛ⳽ⲱⲉⲅ</u><u>:</u></h3>

\quad\hookrightarrow\quad \sf {5,790,806.5\:ft^3 }

<h3><u>Ⲋⲟⳑⳙⲧⳕⲟⲛ:</u></h3>

Here, we area provided a cone with:

  • Radius = 48m
  • Height = 68 m

We have to find the volume of the cone in feet³, and we are given that 1m = 3.2808ft

<h3><u>Ⳙ⳽ⲓⲛⳋ ⳨ⲟⲅⲙⳙ</u><u>ⳑɑ</u><u>:</u></h3>

The volume of a cone is equal to one third of the volume of a cylinder having the same base radius and height ,i.e:

\quad\longrightarrow\quad \sf { V =\dfrac{1}{3}\pi r^2 h }

<u>Therefore</u><u>,</u><u> </u><u>Volume:</u>

\implies\quad \tt {V = \dfrac{1}{3}\pi r^2 h }

\implies\quad \tt { V =\dfrac{1}{3}\times 3.14 \times 48^2 \times 68 }

\implies\quad \tt { V =\dfrac{1}{\cancel{3}}\times 3.14\times \cancel{2304} \times 68}

\implies\quad \tt {V =3.14\times 768\times 68 }

\implies\quad \tt {V = 163,983.36}

\implies\quad \tt { V = 163,983.36 \times (3.2808)^3 \qquad\quad\bigg[ As, \: 1m = 3.2808ft\bigg]}

\implies\quad \tt {V = 163,983.36\times 35.30 }

\implies\quad\underline{\pmb{ \tt { V = 5,790,806.5 ft^3}}}

‎ㅤ‎ㅤ‎ㅤ~<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u>,</u><u> </u><u>the </u><u>volume </u><u>of </u><u>given </u><u>cone </u><u>is </u><u>5,790,806.5</u><u> </u><u>f</u><u>t</u><u>³</u><u>.</u>

3 0
2 years ago
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