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Trava [24]
3 years ago
5

7x-12y=-32 what is the equation of a line parallel to the line shown

Mathematics
1 answer:
Katena32 [7]3 years ago
6 0
7x - 12y = -32
-12y = -7x - 32
y = 7/12x + 8/3...slope here is 7/12. A parallel line will have the same slope.

so ur parallel line will be : y = 7/12x + b....and b can be anything but 8/3...it cannot be 8/3 because then there would be infinite solutions and parallel line do not have infinite solutions, they have no solutions because they do not intersect.
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What is the solution to the equation below? Round your answer to two
noname [10]

Answer:

D. x=5

The answer is x=4.50 then it is rounded off to 5. So, the answer is 5.

Step-by-step explanation:

Find the domain of the inequality:2x-1\geq 0

Rearrange terms to the left side of the equation:2x\geq 1

Divide both sides of the inequality by the coefficient of the variable:

=> x\geq \frac{1}{2}

The domain of the inequality is:x\geq \frac{1}{2}

Convert logarithm to exponential form:2^{3}=2x-1

Calculate the power:8=2x-1

Rearrange terms to the left side of the equation:-2x= -8-1

Calculate:-2x=-9

Divide both sides of the equation by the coefficient of the variable:x=\frac{-9}{-2}

=> x=\frac{9}{2}

=>x=4.5\\

Round the number: x=4.50

Answer: x=4.50

=> x=5

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5 0
2 years ago
A nursing student works at a doctor's office for $15 per hour and tutors other students for $25 per hour.
k0ka [10]

The system of inequalities represents the given constraints will be x + y < 20 and 15x + 25y > 375.

<h3>What is inequality?</h3>

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

A nursing student works at a doctor's office for $15 per hour and tutors other students for $25 per hour.

Let x be the number of hours for the doctor's office and y be the number of hours for the tutor.

The student cannot work more than 20 hours each week.

      x + y < 20 ...1

15x + 25y > 375 ...2

The system of inequalities represents the given constraints will be x + y < 20 and 15x + 25y > 375.

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8 0
2 years ago
Please help me with this problem please
11111nata11111 [884]

9514 1404 393

Answer:

  • shortest: 11 1/8 in
  • longest: 11 3/8 in

Step-by-step explanation:

It should be no surprise that the shortest allowable length is the nominal length less the full allowed tolerance:

  11 1/4 - 1/8 = 11 1/8 . . . inches

__

Likewise, the longest allowable length is the nominal length plus the maximum tolerance:

  11 1/4 + 1/8 = 11 3/8 . . . inches

_____

Of course, you know that 1/4 = 2/8, so adding or subtracting 1/8 gives the fractions shown above.

5 0
3 years ago
You go to the mall to make some purchases. You buy 3 dresses which cost $59.99 each and a pair of shoes that cost $75. What is t
mina [271]
Combine costs
59.99(3) + 75 = 179.97 + 75
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Now add tax: 8% = 0.08
254.99 * 0.08 = 20.3992
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Solution: bill would be around $275
6 0
3 years ago
At East Middle School, there are 58 left-handed students and 609 right-handed students. The numbers of left- and right-handed st
EastWind [94]

<u>Answer:</u>

C. Left-handed: 48, Right-handed: 504

D. Left-handed: 30, Right-handed: 315

<u>Step-by-step explanation:</u>

We are given that there are 58 left-handed students and 609 right-handed students at East Middle School and these numbers of students are proportional to the number of left and right handed students at East Middle School.

Given the above information, we are are to determine which two options could be the the numbers of left-handed and right-handed students at West Junior High.

Ratio of right handed to left handed students at East Middle School = \frac{609}{58} = 10.5

Checking for ratios of the given options:

A. \frac{483}{42} =11.5

B. \frac{378}{28} =13.5

C. \frac{504}{48} =10.5

D. \frac{560}{56} =10

E. \frac{315}{30} =10.5

Therefore, the possible numbers of left-handed and right-handed students at West Junior High could be C. Left-handed: 48, Right-handed: 504 and D. Left-handed: 30, Right-handed: 315.

7 0
3 years ago
Read 2 more answers
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