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algol13
3 years ago
14

Profit is equal to the revenue obtained from selling items minus the cost of producing those items, i.e. P(x) = R(x) – C(x) wher

e x is the number of items produced. If C(x) = 0.5x + 3 and R(x) = 2.5x, what should the production level, x, be to generate a profit of $99?
Mathematics
2 answers:
DIA [1.3K]3 years ago
7 0
P(x)=R(x)-C(x)
Given that:
R(x)=2.5x and C(x)=0.5x+3
Then,
P(x)=2.5x-(0.5x+3)
P(x)=2x-3
thus for profit of $99, the number of units will be found as follows:
99=2x-3
solving for x we get:
102=2x
x=56 units
Reptile [31]3 years ago
7 0

Answer:P(x) = 2x-3 = 99

x = 102/2 = 51

Answer B

Step-by-step explanation:

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A rectangle has a width of 46 centimeters and a perimeter of 204 centimeters. What is the rectangle’s length?
Vanyuwa [196]

Answer:

Length = 56

Step-by-step explanation:

Perimeter = Length + Length + Width + Width

Perimeter = 2L + 2W

2L + 2W = 204

2L + 2(46) = 204

2L + 92 = 204

Subtract 92 from both sides

2L = 112

Divide both sides by 2

L = 56

Length = 56

7 0
3 years ago
Find the Value of the letter in the following questions. Give your answers to 3 s.f.
Elis [28]

Answer:

i = 75.7°

h = 48.2°

Step-by-step explanation:

==>To find i, use the sine rule for finding angles: sin(A)/a = sin(B)/b

Where,

a = 7.2cm

sin(A) = i

b = 6.5cm

sin(B) = sin(61) = 0.8746

Thus:

sin(A)/7.2 = 0.8746/6.5

Multiply both sides by 7.2

sin(A) = (0.8746*7.2)/6.5

sin(A) = 0.969 (3 s.f)

A = i° = sin^-1(0.969) = 75.7 (3 s.f)

==>To find h, use the Cosine rule for angles:

Cos(C) = (a²+b²-c²)/2ab

cos(C) = h°, a = 4, b = 4.5, c = 3.5

a² = 16

b² = 20.25

c² = 12.25

cos(C) = (16+20.25-12.25)/(2*4*4.5)

cos(C) = 24/36

cos(C) = 0.667 (3 s.f)

C = h° = cos^-1(0.667) = 48.2° (3 s.f)

4 0
3 years ago
What is the constant in the equation y=2.7x​
kirill [66]

Answer:

The constant is 2.7. This number never changes.

5 0
3 years ago
Solve the following inequality algebraically. -5|1 - 2x| + 6 =< -29​
Blababa [14]

Answer:

x<3

Step-by-step explanation:

-5|1+2x|+6<-29

-5-10x+6<-29

-10x<-30

-----    ----

-10     -10

x<3

8 0
3 years ago
Alyssa took a math test with 30 questions, and she answered 24 questions correctly in order to get an a, she needs to answer at
koban [17]

Answer:

<u><em>No, she got an 80%</em></u>

Step-by-step explanation:

For every 3 questions she got right, that's 10%.

24/3= 8, which can be turned into 80%

So the answer is<u><em> no</em></u>.

6 0
3 years ago
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