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Alchen [17]
2 years ago
5

A worker carries jugs of liquid soap from a production line to a packing area, carrying 4 jugs per trip. If the jugs are packed

into cartons that hold 7 jugs each, how many jugs are needed to fill the last partially filled carton after the worker has made 17 trips?
A. 1
B. 2
C. 4
D. 5
E. 6
Mathematics
1 answer:
Allisa [31]2 years ago
7 0

Answer:

B. 2

Step-by-step explanation:

We have been given that a worker carries jugs of liquid soap from a production line to a packing area, carrying 4 jugs per trip.

Since worker has made 17 trips, so total number of hugs of liquid soap would be 17 times number of jugs carried per trip.

17\times 4=68.

Since each carton holds 7 jugs, so number of cartoons would be \frac{68}{7}.

\frac{68}{7}\Rightarrow \frac{63+5}{7}=9\frac{5}{7}

We can see that there are 9 completely filled cartoons and there are 5 jugs remaining, so we need 7-5=2 jugs.

Therefore, we need 2 jugs to fill the 10th cartoon and option B is the correct choice.

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Martina is currently 16 years older than her cousin Joey. In 5 years she will be 3 times as old as Joey. Use this information to
marishachu [46]
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put the system of linear equations into standard form
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m - j = 16
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x - y = 16
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so now that you have your equations formed, just solve. 

x - y = 16 , which means that x = y + 16 
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3 years ago
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A plane can fly 540 miles with the wind in one hour less than it can fly 480 miles against the wind. The average wind speed is 3
Bess [88]

Answer:

The speed of the plane in still air = 150 mph

Step-by-step explanation:

This is a relative velocity question

Let the velocity of the plane in still air be v

And let the time the plane can fly 480 miles against the wind be t

(Velocity of the plane relative to the wind) = (velocity of plane) - (velocity of wind)

Flying against the wind

(Velocity of plane relative to the wind) = (480/t)

(Velocity of the plane) = v

(Velocity of the wind) = 30 mph

(480/t) = v - 30

t = 480/(v-30) (eqn 1)

Flying with the wind

(Velocity of plane relative to the wind) = 540/(t-1)

(Velocity of the plane) = v

(Velocity of the wind) = -30 mph

540/(t - 1) = v + 30

t - 1 = 540/(v+30) (eqn 2)

Since t is equal in both cases, substitute the value of t in eqn 1 into eqn 2.

[480/(v-30)] - 1 = [540/(v+30)]

Multiply through by (v+30)(v-30)

480(v+30) - [(v+30)(v-30)] = 540(v-30)

480v + 14400 - (v² - 900) = 540v - 16200

480v + 14400 - v² + 900 = 540v - 16200

v² + 540v - 480v - 16200 - 14400 - 900 = 0

v² + 60v - 31500 = 0

Solving the quadratic equation,

v = 150 mph or v = -210 mph

We'll pick the positive answer because of the directions we have established.

Therefore, the speed of the plane in still air = 150 mph

Hope this Helps!!!

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2 years ago
What does the line 2x-3y=7 look like
fenix001 [56]
2x-3y=7
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Would be a positive line, starting low on left and rising towards right
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The average of five numbers is 790.6. If the first four numbers are 80.2, 91.6,123,and 204.7,what is the sum of the five numbers
aleksklad [387]

Answer:

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Step-by-step explanation:

80.2 + 91.6 + 123 + 204.7 + x = 790.6

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