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astraxan [27]
3 years ago
10

Joe's cell phone plan costs him $21 per month plus $3 for every 1 GB of data downloaded. What is the limit to the number of Gb's

he can download to stay within his monthly budget of $30?
Mathematics
1 answer:
DIA [1.3K]3 years ago
7 0

3 GB every month..... 21+3=24+3=27+3=30....so 3 GB

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What is the simplified form of 12x/900x²y4z6?
zalisa [80]

Answer:

360xy^2|xz^3|

Step-by-step explanation:

Given expression:

12x \sqrt{900x^2y^4z^6}

\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:

\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

Replace 900 with 30² :

\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:

\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}

\implies 360x|x|\sqrt{y^4}\sqrt{z^6}

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:

\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}

Simplify:

\implies 360xy^2|xz^3|

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

7 0
2 years ago
What is 7√11√ in simplest radical form? Enter your answer in the box.
yaroslaw [1]
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7 0
3 years ago
Read 2 more answers
A pet store 145 bags of beef flavored dog food and 263 bag of chesse flavored dog food how many bags of dog food where sold
Kazeer [188]

Answer:

408 bags of dog food

Step-by-step explanation:

The question asks for the total bags of dog food. Because they give you two existing values expressing how much dog food of each type there is, all you must do is add them together. 145 + 263 = 408

3 0
3 years ago
A sales team estimates that the number of new phones they will sell is a function of the price that they set. They estimate that
USPshnik [31]

Answer:

$204

Step-by-step explanation:

The question is at what price x will the company maximize revenue.

The revenue function is:

R(x) = 4,080x-10x^2

The price for which the derivate of the revenue function is zero is the price the maximizes revenue:

R(x) = 4,080x-10x^2\\\frac{dR(x)}{dx}=0=4,080-20x\\x=\frac{4,080}{20}\\ x=\$204

The company will maximize its revenue when the price is $204.

7 0
3 years ago
Find ten rational numbers between -1 by 5 and 1 by 2 ​
uysha [10]

Answer:

Step-by-step explanation:

First both the rational numbers should have same denominators. So, find least common denominator

Least common denominator is 10

\frac{-1}{5}=\frac{-1*2}{5*2}=\frac{-2}{10}\\\\\\\frac{1}{2}=\frac{1*5}{2*5}=\frac{5}{10}\\\\\\

Now multiply  the numerator  and denominators of the both the numbers by 10.

\frac{-2*10}{10*10}= \frac{-20}{100} \ and \ \frac{5*10}{10*10}=\frac{50}{100}\\\\\\Now\ 10 \ rational  \ numbers \ between\frac{-20}{10} \ and \ \frac{50}{100} \ is \\\\\\\frac{-19}{100},\frac{-18}{100},\frac{-17}{100},\frac{-16}{100}.\frac{-15}{100},\frac{-14}{100},\frac{-13}{100},\frac{-12}{100},\frac{-11}{100};\frac{-10}{100}

8 0
3 years ago
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