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3 years ago

Write 10 3/4 as a improper fraction

2 answers:

6 0

Salutations!

To convert a mixed fraction an improper fraction, you need to know the following rules:

$10 \frac{3}{4}$

Multiply 10 and 4, and then add 3 to it.

$10*4=40$

$40+3=43$

Improper fraction = $\frac{43}{4}$

Hope I helped (:

Have a great day!

scoundrel [369]3 years ago

4 0

47/4 is your final answer

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Assume every 10-digit natural number is a possible telephone number except those that begin with 0, 1 or 2. What fraction of tel

lana [24]

Answer: 1/70

Step-by-step explanation:

This is a question that can also be interpreted as what is the probability of having the first number of a phone number to be 8 and the last number of the phone number to also be 8. This answer gives the fraction of the phone numbers that starts with 8 and end with 8.

Since three numbers (0,1,2) cannot start a phone number and we are left to pick from 7 numbers,

then the probability of figure "8" starting phone number = 1/7

Since all 10 numbers can possibly end a phone number,

then the probability of having figure "8" as the last digit of a phone number = 1/10

Hence probability of having "8" as the first and last digit of a phone number = fraction of total telephone numbers that begin with digit 8 and end with digit 8 = 1/7 × 1/10 = 1/70.

5 0

3 years ago

Write the equation of the circle in standard form: Center (7,0) R=1

Mice21 [21]

Answer:

$(x-7)^2+y^2=1$

Step-by-step explanation:

Hi there!

Equation of a circle: $(x-h)^2+(y-k)^2=r^2$ where the circle is centered at (h,k) and the radius is r

1) Plug in the given center (7,0)

$(x-7)^2+(y-0)^2=r^2\\(x-7)^2+y^2=r^2$

2) Plug in the radius (1)

$(x-7)^2+y^2=1^2\\(x-7)^2+y^2=1$

I hope this helps!

8 0

2 years ago

EasyElectrics supermarket orders light bulbs from suppliers, AA Electronics and AAA Electronics. EasyElectrics purchases 30% of

saw5 [17]

Answer: (a) 0.006

(b) 0.027

Step-by-step explanation:

Given : P(AA) = 0.3 and P(AAA) = 0.70

Let event that a bulb is defective be denoted by D and not defective be D';

Conditional probabilities given are :

P(D/AA) = 0.02 and P(D/AAA) = 0.03

Thus P(D'/AA) = 1 - 0.02 = 0.98

and P(D'/AAA) = 1 - 0.03 = 0.97

(a) P(bulb from AA and defective) = P ( AA and D)

= P(AA) x P(D/AA)

= 0.3 x 0.02 = 0.006

(b) P(Defective) = P(from AA and defective) + P( from AAA and defective)

= P(AA) x P(D/AA) + P(AAA) x P(D/AAA)

= 0.3(0.02) + 0.70(0.03)

= 0.027

3 0

3 years ago

Investors buy a studio apartment for 120000 of this amount they have down payment of 24000 their down payment is what percent of

Yakvenalex [24]

Answer:

1. 20%

2. 40%

Step-by-step explanation:

To find the percent of the total payment that the down payment is we have to you use the following equation:

$\frac{part}{whole} * 100 = percent$

Lets start plugging things into the equation.

The part is equal to the down payment and the whole is the total cost of the studio apartment.

Let's do this for the first question

$\frac{24,000}{120,000} * 100 = 20%$

So we see that 24,000 is 20% of the total purchase price!

Let's do this for the next question:

$\frac{48,000}{120,000} * 100 = 40$

48,000 is 40% of the 120,000 total cost!

Hope this helps!

- Kay

7 0

3 years ago

Write an expression for the sequence of operations described below. multiply 3 by t, triple the result, then raise what you have

Nadusha1986 [10]

Answer: 43046721(t^8)

Step-by-step explanation:

So first, multiply 3 by t to get 3t. Then, multiply it again by 3 to get 9t. Raise it to the 8th power to get (9^8)(t^8). This gives you 43046721(t^8)

4 0

3 years ago