Answer:
so x=5y

reciprocal of x=1/x then

sum of reciprocals means 1/x+1/y=2/5

subsitute x=5y for x in 1/x+1/y=2/5 and get

1/5y+1/y=2/5

multiply 1/y by 5/5 to make it 5/5y so you can add since the denomenators (bottom number) are the same

1/5y+5/5y=2/5

6/5y=2/5

multiply both sides by 5y

6=2y

divide both sides by 2

3=y

put this into x=5y so

x=5(3)

x=15

y=3

reciprocal of x=1/x then

sum of reciprocals means 1/x+1/y=2/5

subsitute x=5y for x in 1/x+1/y=2/5 and get

1/5y+1/y=2/5

multiply 1/y by 5/5 to make it 5/5y so you can add since the denomenators (bottom number) are the same

1/5y+5/5y=2/5

6/5y=2/5

multiply both sides by 5y

6=2y

divide both sides by 2

3=y

put this into x=5y so

x=5(3)

x=15

y=3

The area of a triangle can be found using the formula: Area =1/2• base · heightFind the area of the triangle pictured below, where the measurements are given in meters (m)8 m13 m

Given the geometric sequence where a1 = 5 and the common ratio is −3, what is the domain for n?All integers where n ≥ 0 All integers where n ≥ 1 All integers where n ≥ 5 All integers where ≤ 5

Can someone help me out 10 points

Andrea drove 500 miles in 10 hours. find the average number of miles per hour that andrea drove

Which inequality's graph will have a dashed boundary line?A.)x + 7y > 3 B.)7x + y ≤ 3 C.)6x − 5y ≥ 4 D.)y − x ≤ 3

Given the geometric sequence where a1 = 5 and the common ratio is −3, what is the domain for n?All integers where n ≥ 0 All integers where n ≥ 1 All integers where n ≥ 5 All integers where ≤ 5

Can someone help me out 10 points

Andrea drove 500 miles in 10 hours. find the average number of miles per hour that andrea drove

Which inequality's graph will have a dashed boundary line?A.)x + 7y > 3 B.)7x + y ≤ 3 C.)6x − 5y ≥ 4 D.)y − x ≤ 3

2(x+3)

2x-3

2x+3

2(x-3)

**Answer:**

The fourth answer choice is the correct one: 2(x - 3)

**Step-by-step explanation:**

2x²-18x+36/x-6 should be factored, as follows:

2(x²-9x+18) / (x-6) = 2(x - 3) (x - 6) / (x - 6)

Substituting x = 6 would result in division by zero and is thus not allowed.

Remembering this, we can reduce 2(x - 3) (x - 6) / (x - 6) to **2(x - 3) for x≠6**.

i hope this helps you

**Answer: ( 5x+3) (4x2 (squared) + 1)**

**Step-by-step explanation:**

An average for the four tests:

Avg = ( 84 + 65 + 76 + x ) / 4

80 = ( 84 + 65 + 76 + x ) / 4 /* 4 ( multiple both sides of the equation by 4 )

320 = 225 + x

x = 320 - 225

x = 95

Answer:

**B ) 95**

Avg = ( 84 + 65 + 76 + x ) / 4

80 = ( 84 + 65 + 76 + x ) / 4 /* 4 ( multiple both sides of the equation by 4 )

320 = 225 + x

x = 320 - 225

x = 95

Answer:

The resulting **expression **is 1.5 times the **quantity **(a - 3).

Any mathematical **statement **that includes numbers, variables, and an arithmetic operation between them is known as an **expression **or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

To factor the coefficient from 1.5a - 4.5, we can first factor out the **greatest common factor **(GCF) of the two terms.

The GCF of 1.5a and 4.5 is 1.5:

1.5a - 4.5 = 1.5(a - 3)

So, we have **factored out **the coefficient of 1.5 from the original expression.

The resulting expression is 1.5 times the quantity (a - 3).

Learn more about **algebraic Expression **here:

#SPJ3

**Answer: Discount Price = $1104**

**New Price = $17296**

**Step-by-step explanation:**

**Given : **A used automobile dealership recently reduced the price of a used compact car by 6%, which can be written as 0.06.

The price of the car before discount was 18,400.

**Formula for Discount = **Discount percentage× Original price

Then , **Discount** =

**New Price after Discount =** Original Price - Discount price

**Hence, Discount Price = $1104**

**New Price = $17296**

6% of $18,400 = .06 x $18,400 or $1104 - that's the discount

$18,400

__- 1,104__

$17,296 - this is the new price after the discount

$18,400

so $9 for adults and $6 for seniors

so number of adults is represented by x

number of seinors is represented by y

9x+6y=675 since every adult pays 9 and seinors pay 6

x+y=80 since adults+seinors=80

multiply x+y=80 by -6

-6x-6y=-480

add this to 9x+6y=675

9x-6x+6y-6y=675-480

3x+0=195

divide both sides by 3

x=65

there were 65 adults

subsitute 65 for x in x+y=80

65+y=80

subtract 65 from both sides

y=15

there were 15 seinors at the event

so number of adults is represented by x

number of seinors is represented by y

9x+6y=675 since every adult pays 9 and seinors pay 6

x+y=80 since adults+seinors=80

multiply x+y=80 by -6

-6x-6y=-480

add this to 9x+6y=675

9x-6x+6y-6y=675-480

3x+0=195

divide both sides by 3

x=65

there were 65 adults

subsitute 65 for x in x+y=80

65+y=80

subtract 65 from both sides

y=15

there were 15 seinors at the event