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navik [9.2K]
3 years ago
6

URGENT WILL MARK BRAINLIEST

Mathematics
1 answer:
ira [324]3 years ago
3 0

Answer:

1. Equation: P=90N+2,100

2. Total pay if Henry sells 27 copies: 4,530\$

Step-by-step explanation:

1. The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

According to the information given in the exercise, his base salary is $2,100. So you can identify that:

b=2,100

Since he makes an additional of $90 for every copy of he sells, you can identify that:

m=90

Therefore, the equation that represents this situation is:

P=90N+2,100

2. If he sells 27 copies, then:

N=27

Substituting this value into the equation, you get that his total pay would be:

P=90(27)+2,100\\\\P=4,530

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Find the equation of the line through (6,8) which is parallel to the line y=4x−6.
Ratling [72]

Answer:

y=4x-16

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

<u />y=4x-6<u />

4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into y=mx+b:

y=4x+b

<u>2) Determine the y-intercept (b)</u>

y=4x+b

Plug in the given point (6,8) and solve for b

8=4(6)+b\\8=24+b

Subtract 24 from both sides to isolate b

8-24=24+b-24\\-16=b

Therefore, the y-intercept of the line is -16. Plug this back into y=4x+b:

y=4x-16

I hope this helps!

3 0
3 years ago
Match each point with one of the following fractions: 5/6, 7/12, 1/8, 5/16
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A = 1/8, B = 5/16, C = 7/12, D = 5/6
--------------
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3 years ago
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What is the solution to -4|-2x+6| = -24
Arte-miy333 [17]
X = 0.  Since the absolute value of -2x+6 is 2x+6, the absolute value sign acts as () so it would be -4(2x+6) = -24.  That would come out to be           -8x -24 = -24.  Using proper algebra, the answer would come out to be 0
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3 years ago
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Answer:

56.52

Step-by-step explanation:

because the circumference is double the diameter and the circumference is 113.04 so half of that is 56.52

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krek1111 [17]

Answer:

27.72litres=27.72×1000 cm^3

(¡)Height of cylinder=27720×7/(22×21^2)=20cm

Step-by-step explanation:

(¡)First convert litres in to cm^3 take it as the volume of the cylindrical container

(¡¡)Then use V=22/7×r^2×h equation and substitute the values to V and r. Then find the value of h

#V=27.72×1000 (V= volume)

# r = 42/2=21 (r = radius)

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