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ahrayia [7]
2 years ago
14

Explain why 82.5 + 8(0.25x) = 338.5 is equivalent to 82.5 + 2x = 338.5

Mathematics
2 answers:
VARVARA [1.3K]2 years ago
7 0

Answer:

Multiply 0.25x by 8

Step-by-step explanation:

82.5 + 8(0.25x) = 338.5

Multiply 0.25x by 8 we get,

8 × 0.25x = 2x

Thus, 82.5 + 2x = 338.5

<u>-TheUnknownScientist 72</u>

gtnhenbr [62]2 years ago
7 0

Commutative property states out that in multiplication, changing the order of the numbers still have the same product (the product remains the same)

So, we can rewrite 8(0.25x) as (8 x 0.25)x = 2x

So, 82.5 + 8(0.25x) = 82.5 + 2x

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Hey humanoids what is x? 81^5 = 3^x<br> x=?
Greeley [361]

Answer: x=20

Step-by-step explanation: 81 = 3^4, (3^4)^5= 3^(4*5)=3^20. x=20

6 0
2 years ago
Using front end estimation find a reasonable estimate of: 719 · 26
iragen [17]
This is the answer if you mean 719-26
700-30= 670
5 0
3 years ago
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Where in the bible is there an indication of the value of pi what was the approximate value?
Morgarella [4.7K]
The Bible, a book that is considered the perfect word of a perfect god tells us what the value of Pi is. Let's see verse 1 Kings 7:23
 He also melted a sea of ​​ten cubits from one side to the other, perfectly round; Its height was five cubits, and a cord of thirty cubits encircled it.

 These are a list of specifications for the great temple of King Solomon, built about 950 BCE, and his interest here is that it gives a value of π = 3. If we divide 30 cubits between 10 cubits (which are the measures mentioned in written radical) gives us exactly 3.

 We know that the length of the circumference is calculated l = 2 · π · r; Since 2 · r is the diameter, it can also be said that

 circumference = diameter × π

 If we go back to what the Bible says, the diameter is 5 meters and the circumference of 15:

 circumference = diameter × π -> 15 = 5 × π

 with which the value of π is 3.

 This calculation of Pi is a bad approximation to the real value. The figure of 3 in the Bible compared with the real one which is 3.1416 ... indicates an error of about 6%.
7 0
3 years ago
How much total wrapping paper does it take to wrap two gifts: one with the dimensions of 6 cm by 10 cm by 9.5 cm and the other w
zhuklara [117]

Answer:

gift 1:

424 cm^2

570 cm^3

gift 2:

1420.5 cm^2

3622.5 cm^3

Step-by-step explanation:

We have to calculate the surface area of these gifts in order to know the amount of wrapping paper.

The formula for the surface area is:

A = 2*ab + 2*ac + 2*bc

Gift 1:

A = 2*6*10 + 2*6*9.5 + 2*10*9.5

A = 424 cm^2

That means that gift 1 needs 424 cm^2 of wrapping paper

Gift 2:

A = 2*14*17.25 + 2*14*15 + 2*17.25*15

A = 1420.5 cm^2

That means that gift 2 needs 1420.5 cm^2 of wrapping paper

Now, to calculate the cubic centimeters of packaging peanuts, we calculate the volume, the volume has as formula:

V = a*b*c  

Gift 1:

V = 6*10*9.5  

V = 570 cm^3

This means that gift 1 needs 570 cm^3 of packaging peanuts

Gift 2:

V = 14*17.25*15  

V = 3622.5 cm^3

That means that gift 2 needs 3622.5 cm^3 of packaging peanuts

5 0
2 years ago
A town has a population of 2000 and grows at 4.5% every year. What will be the
goldfiish [28.3K]

Answer:

3544

Step-by-step explanation:

This is a problem of compound growth. The formula is

F=P(1+r)^t

Where F is the value in the future (in this case, the population after 13 years)

P is the intial amount (here, the initial population of 2000, so P = 2000)

r is the rate of growth (here, it is 4.5%, in decimal, 0.045)

t is the time frame (here, it is 13 years, so t = 13)

<em>we can plug the numbers into the formula and solve for F:</em>

<em>F=P(1+r)^t\\F=2000(1+0.045)^{13}\\F=2000(1.045)^{13}\\F=3544.4</em>

<em>rounded to the nearest whole number, the </em><em>population after 13 years would be 3544</em>

3 0
3 years ago
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