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SVEN [57.7K]
3 years ago
6

Sadie sold 45 cupcakes, which were packed in 9 boxes. How many cupcakes were in each box? 4 5 8 9

Mathematics
2 answers:
almond37 [142]3 years ago
8 0
9x = 45
9x/9 = 45/9
x= 5
Korvikt [17]3 years ago
3 0
45 divided by 9 = 5
5 cupcakes per box
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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
Help!!! Write and equation in point-slope form and slope-intercept for each line. Passes through (2,2) , slope =3
professor190 [17]

Okay here it is

Y- 2 = 3 (X- 2)


And do you have the Y intercept? Because so far your slope intercept equation is

Y = 3x + ____


6 0
3 years ago
Please help me i will give Brainly
Degger [83]

Answer:

Step-by-step explanation:

\frac{3x + 5}{2x + 7} = 5

do cross multiplication

3x + 5 = 5(2x + 7)

3x + 5 = 10x + 35

5 - 35 = 10x - 3x

-30 = 7x

-30/7 = x

20 A

since there are 7 angles given it means that the polygon is heptagon as heptagon has 7 sides.

sum of interior angle of heptagon = (n-2)*180

(7-2)*180

5*180

900

Now ,

110 + 90 + 150 + 102 + 110 + 170 + x = 900

732 + x = 900

x = 900 - 732

x = 168 degree

20 B

since 5 angles are given it means that the polygon is pentagon as pentagon has 5 sides.

sum of interior angles of a pentagon = (n-2)*180

(5-2)*180

3*180

540 degree

Now ,

110 + 95 + 120 + 114 + x = 540

465 + x = 540

x = 540 - 465

x = 75 degree

21

let one rational number be x

according to the question,

1/7 * x = 2

x/7 = 2

do cross multiplication

x = 14

6 0
3 years ago
2x + 9 = 83<br> HELP gOOD ANSWERS ONLY
mina [271]

Answer:

x = 37

Step-by-step explanation:

2x + 9 = 83

-9          -9

2x = 74

---    ----

2     2

x = 37

5 0
3 years ago
Read 2 more answers
Now round 3.152 to the nearest one.
Alika [10]
3


Mark brainliest please


Hope this helps you
8 0
2 years ago
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