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3 years ago

Rewrite the equation in standard form using integers. y + 1=5/6(x-2) show work.

Mathematics

1 answer:

Arisa [49]3 years ago

3 0

Answer:

The standard for of the equation would be 5x + 6y = -16

Step-by-step explanation:

To start, we simply need to solve for the constant.

y + 1 = 5/6(x - 2)

y + 1 = 5/6x - 5/3

5/6x + y + 1 = -5/3

5/6x + y = -8/3

Now we need to multiply all the numbers by the largest denominator. This will make all the numbers integers. In this case, that number would be 6.

5x + 6y = -16

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Denelle is decorating a ballroom ceiling with garland. If the rectangular ceiling is 63 feet by 60 feet, how much garland will D

AURORKA [14]

Answer:

The answer to your question is: 3780 m²

Step-by-step explanation:

Data

Rectangular ceiling

base = 63 ft

height = 60 ft

Formula

Area = base x height

Process

Area = 63 x 60

= 3780 m²

7 0

3 years ago

tina saved 25 more dimes than nickels. she saved 6 times as many dimes as nickels. how much money did she save in all

nikklg [1K]

25 ÷ (6 - 1) = 25 ÷ 5 = 5, she saved 5 nickels,

5 nickels = 5 × 5 = 25 cents = $0.25

5 + 25 = 30, she saved 30 dimes, 30 dimes = 300 cents = 3 dollars.

3 + 0.25 = $3.25, she saved $3.25 in all.

4 0

4 years ago

Read 2 more answers

Learning Task 3:

padilas [110]

Answer:

$Area = x^2- 25$

$Area =9x^2 +24x + 16$

$Length = (3x -2)$

$Speed = \left(y^2-3y+1\right)$

$Product = 3m^3 + 6m^2 - 6m$

Step-by-step explanation:

Solving (1):

$Length = (x + 5)$

$Width = (x - 5)$

Required

Calculate Area

$Area = Length * Width$

$Area = (x + 5) * (x - 5)$

$Area = x^2 + 5x - 5x - 25$

$Area = x^2- 25$

Solving (2):

Given

$Length = (3x + 4)$

Required: Calculate Area

$Area =Length * Length$

$Area =(3x + 4) * (3x + 4)$

$Area =9x^2 + 12x + 12x + 16$

$Area =9x^2 +24x + 16$

Solving (3):

$Area = 3x^2 + 7x - 6$

$Width = x + 3$

Required: Calculate Length

$Area = Length * Width$

$Length = \frac{Area}{Width}$

$Length = \frac{3x^2 + 7x - 6}{x + 3}$

Factorize the numerator

$Length = \frac{3x^2 + 9x -2x - 6}{x + 3}$

$Length = \frac{3x(x + 3) -2(x + 3)}{x + 3}$

$Length = \frac{(3x -2) (x + 3)}{x + 3}$

Divide by x + 3

$Length = (3x -2)$

Solving (4):

$Distance = (2y^3 - 7y^2 + 5y -1)$

$Time = 2y - 1$

Required: Determine the average speed

This is calculated as:

$Speed = \frac{Distance}{Time}$

$Speed = \frac{2y^3 - 7y^2 + 5y -1}{2y - 1}$

Factorize the numerator

$Speed = \frac{\left(2y-1\right)\left(y^2-3y+1\right)}{2y - 1}$

$Speed = \left(y^2-3y+1\right)$

Solving (5):

Multiply $(m^2 + 2m - 2)$ by sum of $(m + 3)$ and $(2m - 3)$

First, calculate the sum:

$Sum = m + 3 + 2m - 3$

$Sum = m + 2m+3 - 3$

$Sum = 3m$

Then, the product

$Product = (m^2 + 2m - 2)(3m)$

$Product = 3m^3 + 6m^2 - 6m$

6 0

3 years ago

Read 2 more answers

jake borrowed $25 from his mother and spent $21 he earned $22 and spent $15 how much money does he have now and does jake have e

blsea [12.9K]

Answer:

no, jake needs $14 more to repay his mother

Step-by-step explanation:

+25 + (-21) + 22 + (-15) = 4 + 7 or 11

or you could add the positive values together and negative together and then add

25 + 22 = 47

-21 + (-15) = -36

47 + (-36) = 11

7 0

3 years ago

What is 12.7, 12 3/5 and 12 3/4 form greatest to least

Brrunno [24]

12.7 , 12 3/4, 12 3/5

Hope this helps!

3 0

4 years ago

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