One number is 5 times another. The sum of their reciprocals is 2/5. Determine the smaller number.
Answers
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
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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
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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)
Answers
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.
Answers
Answer: ( 5x+3) (4x2 (squared) + 1)
Step-by-step explanation:
Answers
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
Answers
The resulting expression is 1.5 times the quantity (a - 3).
What is algebraic Expression?
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:
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1.5a - 4.5 = 1.5 × a - 1.5 × 3 = 1,5(a - 3)
Answers
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
$18,400
- 1,104
$17,296 - this is the new price after the discount
Answers
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