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nikklg [1K]
3 years ago
15

You know that 12x=60, and that x=5. Which property of equality would you use to conclude that 12•5=60?

Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0

ANSWER

The substitution property of equality.

EXPLANATION

We know that:

12x = 60

and that

x = 5

Since x=5 or 5=x , we can substitute x for 5 wherever we see x in the given equation.

When we do that, we obtain;

12 \bullet \: 5 = 60

This is what we refer to as the substitution property of equality.

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What is the length of the diagonal of a square with 8 foot sides?
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Using the Pythagorean Theorem, 

a² + b² = c²

c² = 8² + 8²

c² = 64 + 64

c² = 128

c = √128

c =8√2 (radical form) or  11.31 feet (nearest hundredth)

Answer: 11.31 feet 
3 0
3 years ago
How can I do this. 0.025 as a percentage of 12.4. Rounded to two decimal places?
kogti [31]

Answer:

\frac{2.5}{100}  \times 12.4 \\ 0.025 \times 12.4 = 0.31

8 0
2 years ago
Taye recruits two people to be election campaign volunteers. The next week he ask each of those volunteers to recruit two more c
jeka94

Using a geometric sequence, it is found that:

a) For the first 5 weeks, the numbers are: 2, 4, 8, 16, 32

b) Hence some of the volunteers can stop recruiting new volunteers during the 7th week.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

a_n = a_1q^{n-1}

In which a_1 is the first term.

For this problem, on the first week there are 2 people, and since each new people involve two more, the common ratio is of 2, hence the parameters for the geometric sequence are:

a_1 = 2, q = 2

Hence the number of people after n weeks is:

a_n = 2 \times 2^{n - 1}

For the first 5 weeks, the numbers are:

  • a_1 = 2 \times 2^{1 - 1} = 2
  • a_2 = 2 \times 2^{2 - 1} = 4
  • a_3 = 2 \times 2^{3 - 1} = 8
  • a_4 = 2 \times 2^{4 - 1} = 16
  • a_5 = 2 \times 2^{5 - 1} = 32

There will be 150 volunteers when a_n = 150, hence:

2 \times 2^{n - 1} = 150

2^{n-1} = 75

\frac{2^n}{2} = 75

2^n = 150

n = 7...

The above is because 2^7 = 128 and 2^8 = 256, and 128 < 150 < 256.

Hence some of the volunteers can stop recruiting new volunteers during the 7th week.

More can be learned about geometric sequences at brainly.com/question/11847927

#SPJ1

3 0
1 year ago
What are the coordinates of M' after triangle MNO is reflected over the y-axis, and rotated 90 degrees clockwise with
exis [7]
(0,-6) because it is reflected and rotated
3 0
3 years ago
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tim brought a car 25000 and it depreciation $350 per year. What is the value of the car after 6 years?
blondinia [14]

Answer:

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Step-by-step explanation:

multiply 350 by 6 and get 2100

subtract 2100 from 25k and get 22900

6 0
3 years ago
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