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Jobisdone [24]
3 years ago
15

. Express 0.48 as a fraction in its simplest form. Show all steps.

Mathematics
2 answers:
LenKa [72]3 years ago
8 0

Answer:

12/25

Step-by-step explanation:

0.48

=48/100

= 24/50

=12/25

azamat3 years ago
5 0

Answer:

12/25

Step-by-step explanation:

0.48=48/100

both 48 and 100 are dividable by 4(which is also their greatest divider) so we can simplify the fraction and get 12/25

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Multiply and simplify. 3xy4z2⋅5x2yx
Olenka [21]
I think the answer is 15x^4y^5z^2
4 0
4 years ago
Read 2 more answers
A scuba diving company currently charges $100per dive. On average, there are 30 customers per day. The company performed a study
Semenov [28]

A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write R=PC.

Per price increase is $20. So four price increase is $20*4=$80. Hence, price per dive is 100+80=$180.

Also per price increase, 2 customers are reduced from 30. For 4 price increases, 4*2=8 customers are reduced. Hence, total customers is 30-8=22.

So Total Revenue is:

R=180*22=3960


B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.

Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.

Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.

R=(100+2x)(30-2x)=-40x^{2}+400x+3000


C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y). That x value is given as x=-\frac{b}{2a}, where a is the coefficient of x^{2} and b is the coefficient of x. So we have,

x=-\frac{b}{2a}=- \frac{400}{(2)(-40)}=5

That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be 5*20=100. So the price that gives the greatest revenue is 100+100=200.

ANSWERS:

A. $3960

B. R=-40x^{2}+400x+3000

C. $200

4 0
3 years ago
What value of x satisfies this equation, 4/5 x - 6 = -2 ? Group of answer choices
andrew11 [14]

Answer:

12

Step-by-step explanation:

4/5 x -6 = -2

4 x -30 = -10

-120 = -10

12

5 0
3 years ago
A survey of 280 homeless persons showed that 63 were veterans. Construct a 90% confidence interval for the proportion of homeles
MA_775_DIABLO [31]

Answer:

[0.184, 0.266]

Step-by-step explanation:

Given:

Number of survey n =280

Number of veterans = 63

Confidence interval = 90%

Computation:

Probability of veterans = 63/280

Probability of veterans =0.225

a=0.1

Z(0.05) = 1.645 (from distribution table)

Confidence interval = 90%

So,

p ± Z*√[p(1-p)/n]

0.225 ± 1.645√(0.225(1-0.225)/280)

[0.184, 0.266]

4 0
3 years ago
There is money to send four of nine city council members to a conference in Honolulu. All want to go, so they decide to choose t
FrozenT [24]

Answer:

126

Step-by-step explanation:

There are 9 city council members.

We have to choose 4 of them.

We have to use the combination as :

$^9C_4$

where, 9 is the population size

4 is the sample size.

Therefore, the total number of possible samples without replacement is given as :

$^9C_4=\frac{9!}{4!(9-4)!}$

      $=\frac{9!}{5! \ 4!}$

     $=\frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1}$

    = 126

7 0
3 years ago
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