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DanielleElmas [232]
2 years ago
15

Which equations are equivalent to ? Check all that apply. X 4 = 64 60 = x.

Mathematics
1 answer:
hram777 [196]2 years ago
5 0

You can use the fact that equivalent equations are such that one equation can be obtained by performing some operations(which doesn't break equality) on the other equation and vice versa.

The equivalent equation to x + 4 = 64 is x = 60

<h3>What are equivalent equations?</h3>

Equivalent equations are such that one equation can be obtained by performing some operations(which doesn't break equality) on the other equation and vice versa.

<h3>How to get the equivalent equation of the given equation?</h3>

The given equation is

x + 4 = 64

Subtracting 4 from both sides, we get

x + 4 - 4 = 64 - 4\\x = 60

Thus, one equivalent equation to the given equation is x = 60

The equivalent equation to x + 4 = 64 is x = 60

Learn more cases of equivalent equations here:

brainly.com/question/14332869

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In 1859, 24 rabbits were released into the wild in Australia, where they had no natural predators. Their population grew exponen
Mashcka [7]

Answer:

a) P' = P

   P(t) = 24e^{0.693t} where t is step of 6 months

b) 7.7 years

c)1064.67 rabbits/year

Step-by-step explanation:

The differential equation describing the population growth is

\frac{dP}{dt} = P

Where t is the range of 6 months, or half of a year.

P(t) would have the form of

P(t) = P_0e^{kt}

where P_0 = 24 is the initial population

After 6 month (t = 1), the population is doubled to 48

P(1) = 24e^k = 48

e^k = 2

k = ln(2) = 0.693

Therefore P(t) = 24e^{0.693t}

where t is step of 6 months

b. We can solve for t to get how long it takes to get to a population of 1,000,000:

24e^{0.693t} = 1000000

e^{0.693t} = 1000000 / 24 = 41667

0.693t = ln(41667) = 10.64

t = 10.64 / 0.693 = 15.35

So it would take 15.35 * 0.5 = 7.7 years to reach 1000000

c. P' = P_0ke^{kt}

We need to resolve for k if t is in the range of 1 year. In half of a year (t = 0.5), the population is 48

24e^{0.5k) = 48

0.5k = ln2 = 0.693

k = 1.386

Therefore, P' = 1.386*24e^{1.386t}

At the mid of the 3rd year, where t = 2.5, we can calculate P'

P' = 1.386*24e^{1.386*2.5} = 1064.67 rabbits/year

4 0
3 years ago
Which of the following is an example of scale?
Elena-2011 [213]

Answer:

12 inches in 1 foot

Step-by-step explanation:

In this problem, we need to find an example that is a scale.

There must be a relation between two units.

There are many types of units of lengths. These can be metre, cm, mm, foot, inches.

The relation between inch and foot is given by :

1 foot = 12 inch

So, we can say there are 12 inches in 1 foot.

<u>Hence, the correct option is (c).</u>

5 0
3 years ago
A lollipop has a radius of 15m. Determine the diameter, circumference, and area of the lollipop.
Leokris [45]
The answers are:

Diameter: 30m
Circumference: 94.24777960769379
Area: 706.8583470577 m<span>2

I hope this helps you. Good luck with your work!</span>
6 0
3 years ago
Anyone Know This Answer ?
OverLord2011 [107]
I hope this helps you



M^2+R^2=W^2



M^2+16=25



M^2=9
7 0
3 years ago
Read 2 more answers
What’s the area of parallelogram A shown?
liberstina [14]

Step-by-step explanation:

The formula for a parallelogram is A=Base x Height

So you multiply the base, which is 6, and the height, which is 4.

A=6x4

Hope it helps!

5 0
3 years ago
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