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3 years ago

What is the sum of 1/3 + 5 3/4 as a mixed number in simplest form

Mathematics

1 answer:

mart [117]3 years ago

3 0

6 1/12 would be the answer

Rewriting our equation with parts separated

1/3+5+3/4

Solving the fraction parts

1/3+3/4=?

Find the LCD of 1/3 and 3/4 and rewrite to solve with the equivalent fractions.

LCD = 12

4/12+9/12=13/12

Simplifying the fraction part, 13/12,

13/12=11/12

Combining the whole and fraction parts

5+1+1/12=6 1/12

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The population of a particular city is given by the function P(t) = 27,400(1.07)t, where t is the time in years and P(t) is the

otez555 [7]

Answer:

27,400 is the current population

7% is the rate of increase

The new size is:

38,430 is the population if t is an exponent

146,590 is t is NOT an exponent in the formula you typed

Step-by-step explanation:

To find the population in a future year, use the formula:

$P(t) = 27,400(1.07)t$

Substitute the value t=5 to find the population in 5 years.

$P(t) = 27,400(1.07)t\\P(t) = 27,400(1.07)(5)\\P(t) = 146,590$

Or if the equation is supposed to have t as an exponent then look below:

$P(t) = 27,400(1.07)^t$

Substitute the value t=5 to find the population in 5 years.

$P(t) = 27,400(1.07)^t\\P(t) = 27,400(1.07)^(5)\\P(t) = 38,430$

This formula is based off the standard formula $A=A_0(1+r)^t$ so r, the rate is 1.07=1+0.07 so r is 7%.

$A_0$ is the starting population which is 27,400 here.

4 0

3 years ago

Rue or False: Temperatures above-zero represent negative numbers. *

skelet666 [1.2K]

Answer:

False

Step-by-step explanation:

tempuratures below zero are negative.

3 0

2 years ago

Read 2 more answers

What is the simplified form of √10000x^64 ? 5000x^32 5000x^8 100x^8 100x^32

denis23 [38]

Answer:

Option (d) is correct.

$\sqrt{10000x^{64}}=100x^{32}$

Step-by-step explanation:

Given : Expression $\sqrt{10000x^{64}}$

We have to write a simplified form of the given expression $\sqrt{10000x^{64}}$

Consider the given expression $\sqrt{10000x^{64}}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0$

$=\sqrt{10000}\sqrt{x^{64}}$

Factor 10000 as $10000=100^2$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a$

$\sqrt{100^2}=100$

also, $\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0$

We have,

$\sqrt{x^{64}}=x^{\frac{64}{2}}=x^{32}$

Thus, $\sqrt{10000x^{64}}=100x^{32}$

8 0

3 years ago

Read 2 more answers

Determine the next three terms in the following sequence: 1, 8, 27, 64,____, ____, ____,...

Dovator [93]

Hello,

Answer D
$x_{n} =n^3\\
 x_{1} =1^3=1\\
 x_{2} =2^3=8\\
 x_{3} =3^3=27\\
 x_{4} =4^3=64\\
 x_{5} =5^3=125\\
 x_{6} =6^3=216\\
 x_{7} =7^3=343\\
$

4 0

3 years ago

Read 2 more answers

The list shows all of the combinations of cutlery at a dinner table. A total of four pieces consisting of forks and spoons are l

sweet-ann [11.9K]

6/16 which is .375, round that to the nearest hundredth and you get .38

6 0

3 years ago