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Nataliya [291]
3 years ago
11

The mathematical model C=500x+70000 represents the cost in dollars a company has in manufacturing x items during a month. How ma

ny items were produced if costs reached 320000?
Mathematics
1 answer:
Mashutka [201]3 years ago
5 0

Answer:

500 items

Step-by-step explanation:

plug the $320000 into C

320000=500x+70000

1. substract 70000 from both sides (always get rid of adding/substracting first)

320000=500x+70000

<u>-70000 -70000</u>

250000=500x

2. divide both sides by 500 (you divide both sides by whatever number is in front of x so you can isolate it)

<u>250000/500=500x/500</u>

500=x

there you go :D good luck and have a good day

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recall the equation for a circle with center (h,k) and radius r At what point in the first quadrant does the line with equation
Angelina_Jolie [31]

9514 1404 393

Answer:

  ≈ (3.578, 5.789)

Step-by-step explanation:

We can substitute for y and solve for x.

  (x -h)^2 +(y -k)^2 = r^2 . . . equation of a circle with center (h, k), radius r

  x^2 +(y -4)^2 = 4^2 . . . . . . the equation of the given circle

  x^2 +((0.5x +4) -4)^2 = 16

  (5/4)x^2 = 16

  x = 8/5√5 . . . . multiply by 4/5 and take the square root

  y = 0.5x +4

  y = 4/5√5 +4

The point of intersection is (8/5√5, 4+4/5√5), approximately (3.578, 5.789).

6 0
3 years ago
May I please receive help
mafiozo [28]

Hello mate ☺️,

We know that m < 2 = 96°, as,

m < 5 = 96°(Alternate angles are equal)

Now we know that m < 5 = 96°, so,

→ m < 5 + m < 8 = 180°(Linear Pair angles are supplementary)

→ 96° + m < 8 = 180°

→ m < 8 = (180 - 96)°

→ m < 8 = 84°

Therefore, <u>m<5 = 96°</u> & <u>m<8=84°</u>

✍️ <em>By </em><em>Benjemin</em> ☺️

3 0
2 years ago
How to find the least common denominator of 3 fractions?
Lina20 [59]

Answer:

  Find the LCD of the first two, then the LCD of that and the third one.

Step-by-step explanation:

You can do it by finding the LCD of two of the denominators, then the LCD of that and the third denominator.

Or, you can factor each of the denominators and find their LCM by multiplying the unique factors to their highest powers.

___

<u>Example:</u>

  1/21 + 1/35 + 1/45

The LCD of 1/21 and 1/35 is (21·35)/5 = 105. The LCD of 1/105 and 1/45 is ...

  (105·45)/15 = 315

__

Using factoring ...

  • 21 = 3·7
  • 35 = 5·7
  • 45 = 3²·5

LCD = 3²·5·7 = 315

3 0
3 years ago
I really need help please<br> Will give you a thanks and make you the brainliest!
kolbaska11 [484]

Answer:

a= 2s +3t

b= -m+4

c= a+2b+c

d= 2x-1

e= x squared + 3x +6

f= 4t-2st-s

3 0
3 years ago
HELPPP 15 POINTS!!
yanalaym [24]

Answer:

Option C, 30

Step-by-step explanation:

<u>Step 1:  Identify how many people spent $200</u>

There was only 30 people that spent $200

Answer: Option C, 30

8 0
3 years ago
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