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kifflom [539]
3 years ago
14

Express in simplest radical form. V40

Mathematics
1 answer:
Andrews [41]3 years ago
7 0

Answer:

\huge\boxed{2 \sqrt{10}}

Step-by-step explanation:

When taking a square root and making it a radical, we need to list out it's factors and find which one we can take the square root of.

The factors of 40 are:

1, 2, 4, 5, 8, 10, 20, 40.

Out of these, we need to look for one that we can find the square root of.

We know that the square root of 4 is 2.

Therefore, we can make \sqrt{40} into \sqrt{4 \cdot 10}.

The square root of 4 is 2. Therefore, we can put that outside the radical.

2 \sqrt{10}.

Hope this helped!

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My pigg y bank has only pennies and nicklels in it , and 2/7 of the coins are nickel If i remove 84 pennies then 1/3 of the reme
zubka84 [21]

Answer:

There are 105 pennies in the piggy bank.

There are 42 nickels in the piggy bank.

Step-by-step explanation:

there are:

p pennies in the piggy bank

n nickels in the piggy bank

Then we can define T, the total number of coins, as:

T = p + n

We know that 2/7 of the total number of coins are nickels.

This can be written as:

n = (2/7)*T = (2/7)*(n + p)

And if we remove 84 pennies, 1/3 of the remaining coins are pennies.

This can be written as:

p - 84 = (1/3)*(n + p - 84)

Then we have a system of two equations:

n = (2/7)*(n + p)

p - 84 = (1/3)*(n + p - 84)

Let's solve the system, to do it, we first need to isolate one of the variables in one of the equations.

We can isolate n in the first one, to get:

n = (2/7)*(n + p) = (2/7)*n + (2/7)*p

n - (2/7)*n = (2/7)*p

n*(5/7) = (2/7)*p

n = (7/5)*(2/7)*p = (2/5)*p

n = (2/5)*p

Now we can replace this in the other equation:

p - 84 = (1/3)*(n + p - 84)

p - 84 = (1/3)*( (2/5)*p + p - 84)

Let's solve this for p

p - 84 = (1/3)*( (7/5)*p - 84)

3*(p - 84) = (7/5)*p - 84

3p - 252 = (7/5)*p - 84

3*p - (7/5)*p = 252 - 84

(15/5)*p - (7/5)*p = 168

(8/5)*p = 168

p = (5/8)*168 = 105

There are 105 pennies in the piggy bank.

And we know that:

n = (2/5)*p = (2/5)*105 = 42

There are 42 nickels in the piggy bank.

4 0
3 years ago
How do I solve 8x-5=100
GrogVix [38]

8x+5=100

-5 -5

---------------

8x/95

answer: 11.875

Hope this helps!

7 0
3 years ago
Read 2 more answers
Find the surface area
xz_007 [3.2K]

Answer:

base -l*b - 13*6.5 - 84.5

6 0
3 years ago
Twenty-four is 30% of what number?
IgorLugansk [536]
24 / 30 x 100 = 80

answer: <span>Twenty-four is 30% of 80</span>
7 0
3 years ago
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You spin each spinner once. You get $50 if you spin a 2 and a vowel. You get $25 if you spin a 2 and a consonant. You get $5 if
Tom [10]

The expected value of the game is $8.75.

----------------------

  • The expected value is the <u>sum of each outcome multiplied by it's probability</u>.
  • A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.

  • The probability of spinning a 2 and a vowel is: \frac{1}{4} \times \frac{2}{8} = \frac{2}{32}.
  • Thus, \frac{2}{32} probability of getting $50.

  • The probability of spinning 2 and a consonant is: \frac{1}{4} \times \frac{6}{8} = \frac{6}{32}
  • Thus, \frac{6}{32} probability of getting $25.

  • The probability of spinning 1 and a vowel is: \frac{3}{4} \times \frac{2}{8} = \frac{6}{32}.
  • Thus, \frac{6}{32} probability of getting $5.

  • 32 - (6 + 6 + 2) = 18, thus, \frac{18}{32} probability of earning $0.

The expected value is:

E = \frac{2}{32}(50) + \frac{6}{32}(25) + \frac{6}{32}(5) + \frac{18}{32}(0)

E = \frac{100 + 150 + 30}{32}

E = \frac{280}{32}

E = 8.75

The expected value of this game is of $8.75.

A similar problem is given at brainly.com/question/24961584

8 0
2 years ago
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