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BartSMP [9]
2 years ago
14

The manufacturer of widgets spends $5 to make each widget and sells them for $8. The manufacturer also has fixed costs

Mathematics
2 answers:
Bezzdna [24]2 years ago
5 0

Answer:c(x)=5x+1200

Step-by-step explanation:

S_A_V [24]2 years ago
4 0

Answer:

C(x) = 5x + 1200

Step-by-step explanation:

The cost function is given by:

C(x)=Fixed cost + cost of x widgets.

The fixed cost is $1200

The cost of producing x widgets is 5x.

Therefore the total cost when x widgets are manufactured is

C(x) = 5x + 1200

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How many times can 38 go into 192 using long division
pshichka [43]

Answer: 5.0526

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 38 on the left side and the dividend 192 on the right side like this:

           

 3 8 ⟌ 1 9 2

Step 2:

The divisor (38) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 3 8 ⟌ 1 9 2

Step 3:

Multiply the divisor by the result in the previous step (38 x 0 = 0) and write that answer below the dividend.

       0    

 3 8 ⟌ 1 9 2

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 3 8 ⟌ 1 9 2

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (9) like this:

       0    

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

Step 6:

The divisor (38) goes into the bottom number (19), 0 time(s). Therefore, put 0 on top:

       0 0  

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

Step 7:

Multiply the divisor by the result in the previous step (38 x 0 = 0) and write that answer at the bottom:

       0 0  

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

         0  

Step 8:

Subtract the result in the previous step from the number written above it. (19 - 0 = 19) and write the answer at the bottom.

       0 0  

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

     -   0  

       1 9  

Step 9:

Move down the last digit of the dividend (2) like this:

       0 0  

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

     -   0  

       1 9 2

Step 10:

The divisor (38) goes into the bottom number (192), 5 time(s). Therefore put 5 on top:

       0 0 5

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

     -   0  

       1 9 2

Step 11:

Multiply the divisor by the result in the previous step (38 x 5 = 190) and write the answer at the bottom:

       0 0 5

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

     -   0  

       1 9 2

       1 9 0

Step 12:

Subtract the result in the previous step from the number written above it. (192 - 190 = 2) and write the answer at the bottom.

       0 0 5

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

     -   0  

       1 9 2

     - 1 9 0

           2

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 192 divided by 38 calculated using Long Division is: 5.0526

6 0
3 years ago
Put y + 4 = -3/4x in slope intercept form
sweet-ann [11.9K]
Y + 4 = -3/4x  --------------------> y = -3/4x - 4                                                                                                                                                                                                                    
8 0
3 years ago
20 points 2^-3 * 2^x * 2^x+2
Ivanshal [37]

Apply a law of  exponents. When multiplying you add the exponents:-

2^-3 * 2^x * 2^(x+2)

= 2 ^(-3 + x + x + 2)

=  2^(2x - 1) Answer

8 0
3 years ago
Evaluate the expression for a = 3, b=12 , and c = 4. <br> 8ab over 2bc
aleksley [76]

Answer:

1

Step-by-step explanation:

8*12=96

96*3=288

4*12=48

48*2=96

96/96=1

3 0
3 years ago
Read 2 more answers
What is the length of the diagonal in the rectangle below
Crank

Answer:

19.21 ft.

Step-by-step explanation:

If you split the rectangle, you are left with two triangles. One side is 15, and the other is 12. If you plug this into the pathagorean thereom, it wold look like 15(squared) + 12(squared) = x (squared)

15 squared is 225. 12 squared is 144. 225 plus 144 = 369. This means that the hypotenuse is the square root of 369.

The square root of 369 is 19.2094..... or when rounded, 19.21.

4 0
3 years ago
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