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mestny [16]
2 years ago
11

Write an equation for the line parallel to the line 5/8x−7/6y =2 through the point (7,−1).

Mathematics
1 answer:
LiRa [457]2 years ago
7 0

y =  -  \frac{28}{48x - 15} -  \frac{125}{321}is the answer.

Step-by-step explanation:

For this question,

•<u> </u><u>First</u>, find the slope of the line parallel to the line 5/8x−7/6y=2 :-

m =  - \frac{28}{ - 15 + 48x}

•<u>Second</u>, find the equation of the line,

y =  -  \frac{28}{48x - 15} -  \frac{125}{321}

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Kim and Melody are selling popcorn buckets for a school fundraiser. Customers can buy small buckets or large buckets. Kim sold 3
Papessa [141]

Answer:

The cost of

A small bucket = x = $8

A Larger bucket = y = $13

Step-by-step explanation:

Let the cost of

A small bucket = x

A Larger bucket = y

Kim sold 3 small buckets and 14 large buckets of popcorn for a total of $206.

3x + 14y = 206... Equation 1

Melody sold 11 small buckets and 11 large buckets of popcorn for a total of $231.

11x + 11y = 231.... Equation 2

What is the cost for a small bucket and a large bucket of popcorn?

3x + 14y = 206... Equation 1

11x + 11y = 231 ....... Equation 2

We solve using Elimination method

Multiply Equation 1 by 11 and Equation 2 by 3 to Eliminate x

33x + 154y = 2266.... Equation 3

33x + 33y = 693....... Equation 4

We subtract Equation 4 from Equation 3

121y = 1573

y = 1573/121

y = $13

Solving for x

3x + 14y = 206... Equation 1

3x + 14 × 13 = 206

3x + 182 = 206

3x = 206 - 182

3x = 24

x = 24/3

x = $8

Hence, the cost of

A small bucket = x = $8

A Larger bucket = y = $13

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2 years ago
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Answer:

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Step-by-step explanation:

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What is the domain and range of the set?<br> {(2,2.3),(5,2.3), (7,15)}
aleksandrvk [35]

Answer:

DOMAIN: 2, 5, 7

RANGE: 2.3, 2.3, 15

Step-by-step explanation:

Domain is always the first value of the set, and range is always the second value of the set.  Hope it makes sense, and that it helped.

Have a good day! goodluck.

3 0
3 years ago
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