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deff fn [24]
3 years ago
12

a delivery person uses a service elevator to bring boxes of books up to an office. the delivery person weighs 160 lb and each bo

x of books wwigh 50 lb. the naximum capacity of the elevator is 1000 lb. how many boxes can the delivery person bring up at home
Mathematics
2 answers:
natta225 [31]3 years ago
8 0

Answer:

A maximum of 16 boxes can be brought up at home.

Step-by-step explanation:

The delivery person weighs 160 lb and each box of books weigh 50 lb.

The maximum capacity of the elevator is 1000 lb.

Let the total boxes that can be brought be = b

We can define the equation in terms of inequality as:

160+50b\leq 1000

50b\leq 1000-160

50b\leq 840

b\leq 16.8

This means a maximum of 16 boxes can be brought up at home.

Andreyy893 years ago
6 0
1000 = 160 + 50x
1000 - 160 = 840
840 = 50x
840/50 = 16.8
he can bring up 16.8 approx., but total boxes would be 16.

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KatRina [158]

a. The expression y=5x represent the number of small marbles she has.

b. The expression z=3x+2 represents the number of large marbles she has.

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Step-by-step explanation:

a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.

Medium marbles = x

Let,

Small marbles = y

According to given statement;

She has five times as many small marbles as medium marbles.

y = 5x        Eqn 1

The expression y=5x represent the number of small marbles she has.

b. Write an algebraic expression to represent the number of large marbles she has.

Let,

Large marbles = z

The number of large marbles is two more than three times the number of medium marbles.

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The expression z=3x+2 represents the number of large marbles she has.

c. If Amy has a total of 560 marbles, how many of each size does she have?

x+y+z= 560     Eqn 3

Putting value of y and z from Eqn 1 and 2 in Eqn 3

x+(5x)+(3x+2)=560\\x+5x+3x+2=560\\9x=560-2\\9x=558

Dividing both sides by 9

\frac{9x}{9}=\frac{558}{9}\\x=62

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Putting x=62 in Eqn 2

z=3(62)+2\\z=186+2\\z=188

Amy has 310 small marbles, 62 medium marbles and  188 large marbles.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/11416224
  • brainly.com/question/11638377

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

Please find the attachment.

Let x be the length of diagonal of the square.

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