All categories

2 years ago

8^(c+1)=16^(2c+3) solve the inequality please show work

Mathematics

1 answer:

tresset_1 [31]2 years ago

4 0

Answer:

Step-by-step explanation:

$8^{c+1}=16^{2c+3}\\(2^{3} )^{c+1} =(2^{4}) ^{2c+3} \\2^{3(c+1)} =2^{4(2c+3)} \\3(c+1)=4(2c+3)\\3c+3=8c+12\\8c-3c=3-12\\5c=-9\\c=-\frac{9}{5}$

You might be interested in

Calculate the value of x

OleMash [197]

Answer:

12x=180 -30

x= 150/12

x= 12.5°

8 0

2 years ago

Read 2 more answers

2 people share 4/3 feet of rope. What length of rope should each friend get?

melisa1 [442]

2 x $\frac{4}{3}$ = $\frac{6}{3} * \frac{2}{3} = \frac{12}{9} = \frac{4}{3}$

5 0

3 years ago

It took Sheldon 17 5/6 minutes to walk to Raj's house. The bus ride home took Sheldon 4 5/8 minutes. How many more minutes did i

MA_775_DIABLO [31]

Answer:

it will take her $13\frac{5}{24}$ minutes more to walk down to Raj's House

Step-by-step explanation:

It took Sheldon $17 \frac{5}{6}$ minutes to walk to Raj's house

It also took Sheldon $4\frac{5}{8}$ minutes to use the bus.

To get the time difference between the two transport mechanisms, we subtract their different time durations.

This will be

$17\frac{5}{6} - 4\frac{5}{8}=317/24$

We can convert this to Mixed fractions as shown $13\frac{5}{24}$ minutes.

Therefore, it will take her $13\frac{5}{24}$ minutes more to walk down to Raj's House

4 0

2 years ago

Which is closer to 7/12??

suter [353]

7/12 is closer to 0.583333

5 0

3 years ago

Which of the following is a which of the following is a rational number?

Nastasia [14]

Answer:

A. √25

General Formulas and Concepts:

Math

Rational Numbers - numbers that can be written as integers, terminating decimals, or fractions
Irrational Numbers - numbers that have non-terminating decimals i.e infinite decimals and cannot be written into a fraction

Step-by-step explanation:

Step 1: Define

A. √25

B. √123

C. √20

D. π

Step 2: Identify

A. √25 = 5; Rational

B. √123 ≈ 11.0905...; Irrational

C. √20 = 2√5 ≈ 4.47214...; Irrational

D. π ≈ 3.1415926535897932384626433832795...; Irrational

Therefore, our answer choice is A.

5 0

2 years ago