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Alchen [17]
3 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]3 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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Answer:

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Step-by-step explanation:

Two co-interor= 180°

5+7= 12

ratio12= 180°

<em>{</em><em>f</em><em>i</em><em>n</em><em>d</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>o</em><em>t</em><em>h</em><em>e</em><em>r</em><em> </em><em>r</em><em>a</em><em>t</em><em>i</em><em>o</em><em>s</em><em>,</em><em> </em><em>5</em><em> </em><em>a</em><em>n</em><em>d</em><em> </em><em>7</em><em>)</em>

12=180°

5×180÷12 = 75°

To find 7, just subtract 180-75= 105°

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I need help asap pls
sp2606 [1]

9514 1404 393

Answer:

  a) ∠DAE = 33°; ∠ABD = 57°

  b) ∠CEB = 90°

  c) ∠ABE = 22°

  d) ∠ADE = 15°

Step-by-step explanation:

The diagonals of a rhombus meet at right angles. Each bisects the corner angles at its ends. Adjacent angles are supplementary, opposite angles are congruent, and each diagonal creates two isosceles triangles.

a) ∠DAE = 90° - ∠ADE = 90° -57°

  ∠DAE = 33°

  ∠ADE = ∠ABD = 57°

__

b) ∠CEB = 90° . . . . . the diagonals meet at right angles

__

c) ∠ABE = 44°/2

  ∠ABE = 22°

__

d) ∠ADE = 90° -(1/2)∠DAB = 90° -150°/2

  ∠ADE = 15°

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