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3 years ago

11

Lester bought 6.73 pounds of bologna at the deli. Renee bought 1.41 pounds of bologna. How much more bologna did Lester buy than

Renee? Do not include units in answer

1 answer:

atroni [7]3 years ago

5 0

Answer:

5.32

Step-by-step explanation:

You would have to subtract 6.73-1.41.

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? = 4/3 π(1 1/4)
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A box is contructed out of two different types of metal. the metal for the top and bottom, which are both square, costs $3 per s

zysi [14]

Let x ft be the length of the base square and y ft be the height of the box.

The volume of the box is

$V=x\cdot x\cdot y\ ft^3.$

Since the box has a volume of 15 cubic feet, then

$x^2y=15,\\ \\y=\dfrac{15}{x^2}.$

You need to construct two squares from the metal that cost $3 per square foot.

The area of each square is $x^2\ ft^2$ and the total cost for these two squares is $2\cdot x^2\cdot 3=6x^2.$

The area of each side face is $x\cdot y=x\cdot \dfrac{15}{x^2}=\dfrac{15}{x}.$ Then the total cost for sides is $4\cdot \dfrac{15}{x}\cdot 10=\dfrac{600}{x}.$

Let S(x) be the function that represents total cost of the box, then

$S(x)=6x^2+\dfrac{600}{x}.$

Find the derivative:

$S'(x)=12x-\dfrac{600}{x^2}.$

When $S'(x)=0,$ then $12x-\dfrac{600}{x^2}=0,\\ \\12x^3=600,\\ \\x^3=50,\\ \\x=\sqrt[3]{50}\ ft.$

The dimensions of the box are:

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height - $\dfrac{15}{\sqrt[3]{2500}}\ ft.$

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3 years ago

It takes Emmanuel 20 minutes to walk to school. It takes Liah 80% as long to walk to school. How long does it take Liaqh to walk

77julia77 [94]

Answer:

16 minutes

Step-by-step explanation:

80% of 20 is

80/100 * 20 = 16

6 0

3 years ago

Write an absolute value inequality for the recommended air pressure range for each type of ball. Use the variable x for the ball

kirill115 [55]

Answer:

For Soccer ball:

x = | 12. 05 + 3.55 |

For basketball:

x = | 8.00 + 0.5 |

For volleyball:

x = | 4.44 + 0.18 |

Step-by-step explanation:

Given the following :

Let x = ball's actual air pressure

_________avg Recommended psi ___tolerance

Soccer ball____ 12. 05 ____________+3.55

Basketball _____8. 00_____________+0.5

Volleyball _____ 4.44 _____________ + 0.18

Actual air pressure = | average recommended psi + tolerance |

Hence ;

For Soccer ball:

x = | 12. 05 + 3.55 |

For basketball:

x = | 8.00 + 0.5 |

For volleyball:

x = | 4.44 + 0.18 |

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3 years ago