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Damm [24]
3 years ago
9

Which expression shows a decimal equivalent to the fraction 13/32? Show work A. 0.41 B. 0.406 C. 0.40625 D. 0.4625

Mathematics
1 answer:
lina2011 [118]3 years ago
3 0

Answer:

[C] 0.40625

Explanation:

To turn a fraction into a decimal, divide the numerator by the denominator.

13 ÷ 32 = 0.40625

  • Your answer is [C] 0.40625
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Simplify (6x2 − 3 − 5x3) − (4x3 2x2 − 8). 9x3 − 4x2 − 5 −9x3 4x2 5 x3 − x2 − 13x3 −x3 x2 13x3.
Schach [20]

Like terms have the same variable and power. The simplification of the expression (6x²-3-5x³)-(4x³+2x²-8) is -9x³+4x²+5.

<h3>What are Like terms?</h3>

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

We know that to simplify an expression we need to add or subtract like terms, therefore,

(6x^2- 3 - 5x^3) -(4x^3+2x^2 - 8)\\\\= 6x^2- 3 - 5x^3 -4x^3-2x^2 + 8\\\\= - 5x^3 -4x^3+6x^2-2x^2+8-3\\\\ = -9x^3+4x^2+5

Hence, the simplification of the expression (6x²-3-5x³)-(4x³+2x²-8) is -9x³+4x²+5.

Learn more about Like Terms:

brainly.com/question/2513478

7 0
2 years ago
The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,
Stella [2.4K]

Answer:

P_4 = 7604.08

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

P_1 = P_0 + 0.04P_0

Where P_0 is the initial population and P_n is the population in year n

In year 2

P_2 = P_1 + 0.04P_1

It can also be written as:

P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)

Taking out common factor P_0

P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)

Taking out common factor (1 + 0.04)

P_2 = (1 + 0.04) (P_0 + 0.04P_0)

Taking out again common factor P_0

P_2 = (1 + 0.04) (1 + 0.04) P_0

Simplifying

P_2 = P_0 (1 + 0.04) ^ 2


So

P_n = P_0 (1 + 0.04) ^ n

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08

3 0
3 years ago
Amelia uses 6 patches of fabric per square foot to make a blanket. How many patches of fabric will she need to make a blanket th
sweet [91]
4,320 because if you take 720 and multiply it by 6 you get your answer
8 0
3 years ago
6th grade math plsss hellp me
Nuetrik [128]

Answer:

157.75 is number 2

Step-by-step explanation:

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