Is the square root of 85 a rational number

1 answer:

5 0

Since 85 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 85?" will have an infinite number of decimals.

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The booster club raised $102 in there car wash. They want to buy $18 soccer balls for the soccer team. Write and solve an inequa

sergey [27]

Answer:

X=5

Step-by-step explanation:

$102=18x$ , then divide both sides by 18 which gives you 5.666667 but you cant buy half a ball they can only afford 5 balls with $12 left over.

3 0

3 years ago

Justin recently drove to visit his parents who live 96 miles away. On his way there his average speed was 20 miles per hour fast

never [62]

Answer:

Justin's average speed to his parents' house: x= 40mph

Justin's average speed from his parents' house: x+20=60 mph

Step-by-step explanation:

Let the average speed be x +20

Then average speed from his parents' x

And the distance is S=96

Then we know :

$\displaystyle \frac{S}{x+20} +\frac{S}{x} =4 \\\\\\ \frac{96}{x+20} +\frac{96}{x}=4 \ |\div 4 \\\\\\ 24\bigg(\frac{1}{x+20} +\frac{1}{x} \bigg) =1 \\\\\\ 24\cdot \frac{x+x+20}{(x+20)x} =1 \ |\cdot (x+20)x \ \ \\\\\\48x+480=x^2+20x \\\\ x^2-28x-480=0 \\\\ \rm D=28^2+4\cdot 480=2704 =52^2 \\\\ \boxed{x_1=\frac{28+52}{2} =40} \\\\x_2=\frac{28-52}{2} =-12 \ \ \varnothing$

Justin's average speed to his parents' house: x= 40mph

Justin's average speed from his parents' house: x+20=60 mph

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3 years ago

Which natural phenomenon is the best example of periodic behavior?

anygoal [31]

"The number of hours of daylight each day" is the one natural phenomenon among the choices given in the question that <span>is the best example of periodic behavior. The correct option among all the options that are given in the question is the fourth option or option "D". I hope that the answer has come to your help.</span>

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3 years ago

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Find the value of x. <br> m27 = 2x + 18 and 2B

Reil [10]

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3 years ago

How many 7-digit phone numbers are possible, assuming that the first digit can’t be a 0 or a 1? (b) re-solve (a), except now ass

sladkih [1.3K]

A. We are going to form 7 digit numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

where the first digit cannot be 0 or 1.

so we have 8 choices for the 1. digit, and 10 choices for all the other 6 digits.

this means there are $8*10*10*10*10*10*10=8* 10^{6}$ possible numbers.

b.

consider the numbers which start with 911. There are $10*10*10*10=10 ^{4}$ such numbers, since for the 4th, 5th, 6th and 7th digits we have 10 choices.

then we remove this number, from the one we found in a:

There are in total $8* 10^{6}-10^{4}=7,990,000$ numbers which don't start with 911.

Answer:

a. $8*10^{6}$
b.7,990,000

3 0

3 years ago