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alex41 [277]
3 years ago
8

When you see multiplying rational number you first

Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0

Answer:

use pemdas

Step-by-step explanation:

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Solve for the value of x<br> A) 12<br> B) 42<br> C) -12<br> D) -42
pentagon [3]
The angles of a triangle will always add up to be 180 degrees total.

x + 82 + x + 82 + 40 = 180
2x + 164 + 40 = 180
2x + 204 = 180
Subtract 204 from both sides.
Think of it as “180 + (-204)”
2x = -24
Divide each side by 2.
x = -12

Answer: x = -12
3 0
2 years ago
What is the mean of the measures of the three exterior angles of a triangle if two of the interior angles have measures of 63 an
Genrish500 [490]

Answer:

  1. Mean score=120

Step-by-step explanation:

  1. Areas of a triangle add upto 180degrees (63+78+x=180) 141+x= (x=180-141) x=39
  2. Areas on a straight line add upto 180degrees

180-78=102

180-63=117

180-39=141

  1. 102+117+141=360
  2. Mean=360/3 =120

4 0
3 years ago
a gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sel
adell [148]

Answer:

The price per wind chime that will maximize revenue = $ 315

Step-by-step explanation:

Given - A gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sell 5 fewer wind chimes per month.

To find - Find the price per wind chime that will maximize revenue.

Proof -

Given that,

Total Wind chimes selling = 160

Price of each Wind chime = $150

Now,

Given that, for each $15 increase in price, they will sell 5 fewer wind chimes per month.

So,

Let the price = 150 + 15x

So,

Number of wind Chimes sold per month = 160 - 5x

So,

Total Revenue, R = (150 + 15x)(160 - 5x)

                             = 24000 - 750x + 2400x - 75x²

                             = 24000 + 1650x - 75x²

⇒R(x) = 24000 + 1650x - 75x²

Differentiate R with respect to x , we get

R'(x) = 1650 - 150x

Now,

For Maximize Revenue, Put R'(x) = 0

⇒1650 - 150x = 0

⇒150x = 1650

⇒x = 1650/150

⇒x = 11

∴ we get

Price per Wind chime = $ 150 + 15(11)

                                    = $ 150 + 165

                                    = $ 315

So,

The price per wind chime that will maximize revenue = $ 315

3 0
3 years ago
How do you solve this help​
vfiekz [6]

Answer:

arc PST = 254°

Step-by-step explanation:

arc QPT = 180° because it is a diameter

arc PQ = 74°

arc PT = 180° - 74° = 106°

arc PST = 360° - 106° = 254°

5 0
3 years ago
Please help thank you.
Arada [10]

Answer:

3+(k+1)1.5= 3

Step-by-step explanation: you do 1.5 * k and 1 and get 1.5k + 1.5

then you go 3 +1.5k+1.5=?

1.5k+4.5=?

-1.5k      -1.5k

4.5=-1.5

_ .     _

-1.5 .  -1.5

k=3

5 0
3 years ago
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