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3 years ago

Mrs. Jones bought 6 kilograms of rice. After filling 10 containers with the same

Mathematics

1 answer:

9966 [12]3 years ago

8 0

There are 514 gram rice in each container.

Step-by-step explanation:

Given,

Amount of rice = 6 kg

1 kg = 1000 g

6 kg = 6*1000 = 6000 g

Number of containers = 10

Rice left = 860 g

Let,

x be the amount in each container.

Total amount of rice - Number of containers*Amount in each container = Amount of rice left

$6000-10x=860\\6000-860=10x\\5140=10x\\10x=5140$

Dividing both sides by 10

$\frac{10x}{10}=\frac{5140}{10}\\x=514$

There are 514 gram rice in each container.

Keywords: linear equation, division

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Answer:

15) a) 8

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3 years ago

AB = 3 + x

ICE Princess25 [194]

The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.

Step-by-step explanation:

ABCD is a quadrilateral with their opposite sides are congruent (equal).

The both pairs of opposite sides are given as AB = 3 + x , DC = 4x , AD = y + 1 , BC = 2y.

AB and DC are opposite sides and have same measure of length.
AD and BC are opposite sides and have same measure of length.

To find the length of AB and DC :

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Keep x terms on one side and constant on other side.

3 = 4x - x

3 = 3x

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Substiute x=1 in AB and DC,

AB = 3+1 = 4

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To find the length of AD and BC :

AD = BC

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Keep y terms on one side and constant on other side.

2y-y = 1

y = 1

Substiute y=1 in AD and BC,

AD = 1+1 = 2

BC = 2(1) = 2

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3 years ago

Complete the compass rose below with the correct bearings, please help ASAP

poizon [28]

N= 00
NNE= 022.5
NE= 045
ENE= 067.5
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ESE=112.5
SE= 135
SSE= 157.5
S=180
SSW= 202.5
SW= 225
WSW= 247.5
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WNW= 292.5
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Then the probability of 1) and 2) to happen is given by

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