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Andrew [12]
3 years ago
13

Please help.

Mathematics
1 answer:
Charra [1.4K]3 years ago
4 0

Answer:

<em>The sister's age is 8 and the brother's age is 4</em>

Step-by-step explanation:

Let's make:

x = age of the brother

y = age of the sister

x - 2 = age of the brother two years ago

y - 2 = age of the sister two years ago

Two years ago, the age of the sister was three times greater than the age of the brother:

y - 2 = 3(x - 2)

Now, the relation doubles:

y = 2x

Substituting in the first equation:

2x - 2 = 3(x - 2)

Operating:

2x - 2 = 3x - 6

Subtracting 3x -2:

2x - 3x = 2 - 6 = -4

Solving:

x = 4

y =2x = 8

The sister's age is 8 and the brother's age is 4

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Step-by-step explanation:

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Read 2 more answers
Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 o
dimulka [17.4K]

Answer:

The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.

Step-by-step explanation:

The amount of water in the tank after 15 days is given by the series

910+(−710)+810+(−610)+⋯+310+(−110)+210

From the series, we can observe that, if water is added for a particular day then water will be drained the following day.

Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.

Hence, we can complete the series thus:

910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210

To evaluate this, we  get

910-710+810-610+710-510+610-410+510-310+410-210+310-110+210

= 1610.0 gallons

Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.

8 0
3 years ago
Which angle corresponds to &lt; 8?​
Yuri [45]

Answer:

b

Step-by-step explanation:

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