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2 years ago

8th grade math simple help

Mathematics

1 answer:

Kazeer [188]2 years ago

3 0

Answer:

1) x = 30

2) x = 11.6

Step-by-step explanation:

1) 2x = 4x - 60 (vertical angles are equal)

subtract 4x from each side of the equation:

-2x = - 60

divide both sides by -2:

x = 30

2) 7x + 16 + 3x + 48 = 180° (supplementary angles add up to 180°)

combine like terms:

10x + 64 = 180

subtract 64 from both sides of the equation:

10x = 116

divide both sides by 10:

x = 11.6

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A population of 50 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain up to 500 deer.

rewona [7]

Answer:

p1 = 70 deer

p2 = 98 deer

Step-by-step explanation:

We use the population growth expression:

$N(t)=N_0\,(1+r)^t$

which in our case renders:

$N(t)=N_0\,(1+r)^t\\N(t)=50\,(1+0.4) ^t\\N(t)=50\,(1.4) ^t$

Therefore, after 1 year the population would be:

$N(1)=50\,(1.4) ^1=70$

giving a total of 70 deer

and after two years, it would be:

$N(2)=50\,(1.4) ^2=98$

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3 years ago

What is the mean of the data?

dmitriy555 [2]

Answer:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

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2 years ago

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Anton [14]

Answer:

4 1/3 hours

Step-by-step explanation:

Since he will have completed 7 hours AFTER 2 2/3 more hours, he has completed 7- 2 2/3 = 4 1/3 hours so far

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3 years ago

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