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TiliK225 [7]
3 years ago
9

HELP please.

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
4 0

Answer:

C

Step-by-step explanation:

Here, originally, we are told that the point Q has coordinates (-2,1)

Now, its dilated point has the coordinates (-8,4)

what we can observe here is the the shape original polygon was dilated by a factor of 4 to give the image

Now the point R’ is (0,8)

To get the point R , we simply divide each coordinate by 4

Thus, we have (0/4 , 8/4)

This is same as option C

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On a typical long distance call you talk for 30 minutes. On a typical local call you talk for 10 minutes. Your phone company off
klio [65]

The number of long distance calls to be made can be obtained by linear programming

  • To minimize the phone bill, the number of long distance call to be made is none

Reason:

Maximum number of number of long distance calls = 15

Maximum number of local calls = 30

Number of minutes of calls to make each month = 240 minutes

Duration of each long distance call = 30 minutes

Duration of each local call = 10 minutes

Cost of long distance call = $0.08

Cost of local call = $0.03

Solution:

Let <em>X</em>, represent the number of long distance calls, and let <em>Y</em> represent the number local calls

The objective function is given as follows;

  • P = 0.08·(30)·X + 0.03·(10)·Y

P = 2.4·X + 0.3·Y

The constraints are;

X ≥ 0

Y ≥ 0

X ≤ 15

Y ≤ 30

30·X + 10·Y ≥ 240

Solving we have;

  • Y ≥ 24 - 3·X

The above inequality can be plotted with MS Excel

From the objective function, P = 2.4·X + 0.3·Y, the coefficient of the long

distance calls, <em>X</em> is larger than the coefficient of the local calls <em>Y</em>, therefore,

making the minimum possible number of long distance calls of 0, and 24

local calls will give a cost;

  • P = 2.4 × 0 + 0.3 × 24 = 7.2

Therefore, to minimize the phone bill, the number of long distance calls to

be made is <u>zero long distance calls</u>

Learn more about linear optimization here:

brainly.com/question/21491539

5 0
3 years ago
One angle of an isosceles triangle measures 50°. Which other angles could be in that isosceles triangle?
AVprozaik [17]
In an isosceles triangle two angles will be equal
So, if 50 is one of the equal angles then the angles will be (50,50,80)
Otherwise if 50 is the non-equal angle then the angles will be (50,65,65)
8 0
3 years ago
Ralph Chase plans to sell a piece of property for ​$160,000. He wants the money to be paid off in two ways monica ​short-term no
DerKrebs [107]

Answer:

  • short-term: $90,000
  • long-term: $70,000

Step-by-step explanation:

Let x represent the amount borrowed on the short term. Then 160000-x is the amount of the long-term note. The total interest is ...

  0.11x +0.08(160000-x) = 15500

  0.03x + 12800 = 15500 . . . . simplify

  0.03x = 2700 . . . . . . . . . subtract 12800

  x = 2700/.03 = 90,000 . . . . short-term note

  160,000 -90,000 = 70,000 . . . . long-term note

The short-term note was for $90,000; the long-term note was for $70,000.

3 0
3 years ago
Carrie works as a library assistant in Orpington
lukranit [14]

Answer:    343.6875 US$

Step-by-step explanation:

(US$ 9.75) x (35 1/4) =

4 0
3 years ago
Please help ASAP this is 6th grade math plz
lianna [129]

Answer:

3 ft times<em> x </em>ft

Step-by-step explanation:

You don't know what the x is so you can keep it as a x.You are going to multiply it so it is 3 ft times<em> x </em>ft

6 0
3 years ago
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