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maria [59]
3 years ago
12

Simplify (2^-⁶)(5)(2³•5)².​

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0

Answer:

125

Step-by-step explanation:

(2^-6)(5)(2^3×2.5^2)

=(2^-6)(5)(2^6.5^2)

=(2^-6+6)5^1+2 [ in multiplication if base are same then power are added.

=2^0(5^3)

=1×(125)

=125

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9)
adoni [48]

Answer:

9 quarters

Step-by-step explanation:

Total cost of money in the coin bank = $3.55

Let the number of dimes be = d

Let the number of quarters be = q

Let the number of nickels be = n

Where:

1 quarter = $0.25

1 dime = $0.1

1 nickel = $0.05

Hence,

0.1(d) + 0.25(q) +0.05(n) = $3.55

In the question, we are told that:

The number of dimes is four less than the number of quarters, mathematically

d = q - 4

The number of nickels is seven more than the number of quarters, mathematically,

n = q + 7

From the question, we are ask to find q

0.1(d) + 0.25(q) +0.05(n) = $3.55

since d = q - 4

n = q + 7

We substitute

0.1(q - 4) +0.25( q )+ 0.05(q + 7) = $3.55

0.1(q - 4) +0.25( q )+ 0.05(q + 7) =$3.55

0.1q - 0.4 +0.25q + 0.05q + 0.35 = $3.55

Collect like terms

0.1q + 0.25q + 0.05q = 3.55 + 0.4 - 0.35

0.4q = 3.6

q = 3.6/0.4

q = 9

Therefore the number of quarters is 9.

6 0
3 years ago
Is 540171 divisible by 9?
Iteru [2.4K]

Image is attached below.

If the sum of the digits its divisible by 9,

then the original number is divisible by 9.

Since 18 (the sum of the digits) is divisible by 9,

the number 540,171 is also divisible by 9.

4 0
3 years ago
Read 2 more answers
How do you simplify this expression <br> 1. 9a/2<br><br> 2. 12b/4
Alisiya [41]

Answer:

The answer for the first one is  \frac{9}{2}a

The answer to the second one is 3b

8 0
4 years ago
A bin of 50 manufactured parts contains 3 defective parts and 47 non-defective parts. A sample of size 6 parts is selected from
lyudmila [28]

Answer:

535,095 different samples of size six that contain exactly 2 defective parts.

0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

As the order of the parts is not important, the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

How many different samples are there of size six that contain exactly 2 defective parts?

2 defective from a set of 3, and 4 non-defective from a set of 47. So

D = C_{3,2}*C_{47,4} = \frac{3!}{2!1!}*\frac{47!}{4!43!} = 535095

535,095 different samples of size six that contain exactly 2 defective parts.

What is the probability that a sample contains exactly 2 defective parts?

The total number of samples is:

T = C_{50,6} = \frac{50!}{6!44!} = 15890700

Then...

p = \frac{D}{T} = \frac{535095}{15890700} = 0.0337

0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.

8 0
3 years ago
What is the product of 4 1/3 times 3 1/3?
Kobotan [32]

Answer:

Hello! Your answer would be D) 14 4/9

Step-by-step explanation:

Hope I helped! Brainiest plz!♥

Have a nice morning! -Abby

3 0
3 years ago
Read 2 more answers
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