On a shopping trip, Peter spent 1/3 of his money for a jacket and another $5 for a hat. If peter still had 1/2 of his money left, how much money did he have originally ??a) $18, b) $24, c) $30, d) $48, e) $60

Answers

Answer 1

Answer: (a) 18
18 / 3 = 6
6 + 5 = 11
18 - 11 = 7
18 / 2 = 9
$7 \neq 9$

(b) 24
24 / 3 = 8
8 + 5 = 13
24 - 13 = 11
24 / 2 = 12
$11 \neq 12$

(c) 30
30 / 3 = 10
10 + 5 = 15
30 - 15 = 15
30 / 2 = 15
$15 = 15$

(d) 48
48 / 3 = 16
16 + 5 = 21
48 - 21 = 27
48 / 2 = 24
$27\neq 24$

(e) 60
60 / 3 = 20
20 + 5 = 25
60 - 25 = 35
60 / 2 = 30
$35 \neq 30$

Answer: (c) $30

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What is the value of x log3 x=4

Answers

Answer:

x=81

Step-by-step explanation:

Rewrite log_3 (x)=4 in exponential form using the definition of a logarithm. If x and b are positive real numbers and b≠1, then log_b(x)=y is equivalent to b^y=x.

Rewrite the equation as x=3^4

Raise 3 to the power of 4

x=81

Which expressions are equivalent to the one below? Check all that apply. 9^xa. 9 * 9^(x 1)
b. (36/4)^x
c. 36^x/4
d. 9 * 9 ^(x-1)
e. 36^x/4^x
f. x^5

Answers

In between given 6 exponential expressions, $((36)/(4) )^(x)$ , 9 × $9^(x - 1)$ , and $(36^(x))/(4^(x))$ are equivalent to $9^(x)$

What is an exponential expression?

"An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable."

Given expression is $9^(x)$ .

a. 9 × $9^(x + 1)$ is equal to $9^(x + 2)$ .

b. $((36)/(4) )^(x)$ is equal to $9^(x)$ .

c. $(36^(x))/(4)$ is equal to $9^(x)$ × $4^(x - 1)$ .

d. 9 × $9^(x - 1)$ is equal to $9^(x)$ .

e. $(36^(x))/(4^(x))$ is equal to $9^(x)$ .

f. $x^(5)$ is equal to $x^(5)$ .

Therefore, from the given expressions, $((36)/(4) )^(x)$ , 9 × $9^(x - 1)$ , and $(36^(x))/(4^(x))$ are equivalent to $9^(x)$ .

Learn more about an exponential expression here: brainly.com/question/11471525

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$a.\ 9\cdot9^(x+1)=9^(1+x+1)=9^(x+2)\neq9^x\n\nb.\ \left((36)/(4)\right)^x=9^x\ OK\ :)\n\nc.\ (36^x)/(4)\neq9^x\n\nd.\ 9\cdot9^(x-1)=9^(1+x-1)=9^x\ \ OK\ :)\n\ne.\ (36^x)/(4^x)=\left((36)/(4)\right)^x=9^x\ \ \ OK\ :)\n\nf.\ x^5\neq9^x\n\nAnswer:\huge\boxed{b;\ d;\ e}$

$Used:\n\na^n\cdot a^m=a^(n+m)\n\n(a^n)/(b^n)=\left((a)/(b)\right)^n$

Which statements accurately describe the function f(x) = 3radical18^x? Check all that apply.The domain is all real numbers.
The range is y > 3.
The initial value is 3.
The initial value is 9.
The simplified base is .
The simplified base is 3.

Answers

The right answer for the question that is being asked and shown above is that: "The simplified base is 3; The initial value is 9; The range is y > 3." The statements that accurately describe the function f(x) = 3radical18^x is that The simplified base is 3; The initial value is 9; The range is y > 3."

Answer:

The answers are A, C, F

Step-by-step explanation:

Took the quiz and saw the answers, your welcome! ;)

What do I do when you have a question like "y-1=4/5(x+15)" I have no idea what to do next!

Answers

distribute the 4/5 to the x and 15 so you should have y-1=4/5x+12
next you must get y alone so add one to both sides of the equation
the final product is y=4/5x+13

$y - 1 = (4)/(5(x + 15))$

$y - 1 = (4)/(5(x) + 5(15))$

$y - 1 = (4)/(5x + 75)$

$y - 1 = 0.8x - 0.053$

$y - 1 + 1 = 0.8x - 0.053 + 1$

$y = 0.8x + 0.947$

Is .32903 greater than 0.59

Answers

No, .32903 is not greater than 0.59

It does not matter how long is the number after the point. As 5 is bigger than 3, 0.32903 is smaller than 0.59

Death Valley CA is 282 feet below sea level. Black Mountain, KY is 750 feet above sea level . How many more feet above sea level is Black Mountain than Death Valley?

Answers

From the Death Valley to Black Mountain, it rises 1032 feet because Death Valley is 1032 ft lower than Black Mountain in elevation.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Death Valley CA is 282 feet below sea level.

Black Mountain, KY is 750 feet above sea level.

Death Valley (282ft) + 282ft = sea level (0).

0 + 750ft = Black Mountain (750ft).

282ft + 750ft = 1032ft.

From Death Valley to Black Mountain, it rises 1032 feet. Death Valley is 1032 ft lower than Black Mountain in elevation.

Thus, from the Death Valley to Black Mountain, it rises 1032 feet because Death Valley is 1032 ft lower than Black Mountain in elevation.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

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Death Valley (282ft) + 282ft = sea level (0).

0 + 750ft = Black Mountain (750ft).

282ft + 750ft = 1032ft.

It takes 1032ft to get from Death Valley to Black Mountain. Black Mountain is 1032ft more feet above sea level than Death Valley. Hope that helps! :)

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