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kari74 [83]
3 years ago
12

I need help with solving the equations by using substitution

Mathematics
1 answer:
Fittoniya [83]3 years ago
3 0
Given:
y = -2x + 4
2y = -6x + 12

2y = -6x + 12
2(-2x + 4) = -6x + 12
-4x + 8 = -6x + 12
-4x + 6x = 12 - 8
2x = 4
x = 4/2
x = 2

y = -2x + 4
y = -2(2) + 4
y = -4 + 4
y = 0

2y = -6x + 12 ; x = 2 ; y = 0
2(0) = -6(2) + 12
0 = -12 + 12
0 = 0

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Calculate the trade discount for 3030 boxes of computer paper if the unit price is ​$14.9314.93 and a single trade discount rate
zhannawk [14.2K]

Answer:

Total trade discount on 30 boxes = $201.555

Step-by-step explanation:

1 box = $14.93

And a trade discount of 45% is allowed on a single box,

Therefore, the discount on one $14.93 box will be

45% × $14.93 = $6.7185

So, if there are now 30 boxes, the trade discount on all 30 boxes will be

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Hope this helps!

5 0
2 years ago
Is 0 an integer ?<br> It wont let me post without making it longer
lina2011 [118]

Yes, it is. You may prove it using something like this: 1 is an integer. 1-1 is a difference between integers. A difference between integers returns an integer, so 0 is an integer.

7 0
2 years ago
What is the equation for <br><br> 6/7 - 1/8=
miv72 [106K]
Another way to put 6/7 - 1/8 is 48/56- 7/56 since the LCM of 7 and 8 is 56 (if you don’t know what that is I can explain it) sorta like subtraction you subtract both numerators (48 and 7 or 48-7) which gives you 41 then you put the denominator (56) below that. So in other words it equals 41/56
3 0
2 years ago
Renee spent 1/8 of the day landscaping around the house. She spent half of the time pulling weeds. What fraction of the day did
Inga [223]

Answer:

The fraction of the day Rehee spent pulling weeds = 1/16

Step-by-step explanation:

Let us take the fraction representing a whole day to be a whole number - 1

Renee spent 1/8 of the day landscaping around the house.

This means she spent 1/8 X 1 landscaping around the house = 1/8

She spent half of the time pulling weeds.

This means she spent 1/2 of 1/8 of  1 landscaping around the house = 1/16

1/2 X 1/8 X 1 = 1/16

The fraction of the day Rehee spent pulling weeds = 1/16

8 0
3 years ago
In New York City at the spring equinox there are 12 hours 8 minutes of daylight. The
slamgirl [31]

Answer:

  independent: day number; dependent: hours of daylight

  d(t) = 12.133 +2.883sin(2π(t-80)/365.25)

  1.79 fewer hours on Feb 10

Step-by-step explanation:

a) The independent variable is the day number of the year (t), and the dependent variable is daylight hours (d).

__

b) The average value of the sinusoidal function for daylight hours is given as 12 hours, 8 minutes, about 12.133 hours. The amplitude of the function is given as 2 hours 53 minutes, about 2.883 hours. Without too much error, we can assume the year length is 365.25 days, so that is the period of the function,

March 21 is day 80 of the year, so that will be the horizontal offset of the function. Putting these values into the form ...

  d(t) = (average value) +(amplitude)sin(2π/(period)·(t -offset days))

  d(t) = 12.133 +2.883sin(2π(t-80)/365.25)

__

c) d(41) = 10.34, so February 10 will have ...

  12.13 -10.34 = 1.79

hours less daylight.

5 0
2 years ago
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