Lane is 10 times Mels age.  If the difference in their age is 27, how old is Mel?

Answers

Answer 1
Answer: The answer is 3! 

explanation; 3x10 equals 30. the difference is 27 years and 30-3=27!
Answer 2
Answer: L = 10M
27 = L - M

27 = 10M - M

27 = 9M

M = 3

L = 10M = 10(3) = 30

Lane is 30 years old
Mel is 3 years old

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What are the square roots of 81? I​

Answers

Answer:

9

Step-by-step explanation:

Square root is to multiply same number to get high number.

Example: square root of 81.

9 x 9 = 81

You add two numbers together, and the total is 122. If you triple the smaller number and subtract 34, it will equal the larger number. What are the two numbers?

Answers

Answer: 39 and 83

Step-by-step explanation:

Let's assume the smaller number is represented by 'x' and the larger number is represented by 'y'.

According to the given information, we have two equations:

Equation 1: x + y = 122

Equation 2: 3x - 34 = y

We can solve this system of equations to find the values of 'x' and 'y'.

Substituting Equation 2 into Equation 1, we get:

x + (3x - 34) = 122

Combining like terms:

4x - 34 = 122

Adding 34 to both sides:

4x = 122 + 34

4x = 156

Dividing both sides by 4:

x = 39

Substituting the value of 'x' back into Equation 1:

39 + y = 122

Subtracting 39 from both sides:

y = 122 - 39

y = 83

Therefore, the smaller number is 39 and the larger number is 83.

Choose an equation of a line through the point (-4, 1) perpendicular to y=−12x+3.

Answers

Answer:

y = (1)/(12)x + (4)/(3)

Step-by-step explanation:

slope of perpendicular line: m = (1)/(12)

solve for b:

1 = (1)/(12)(-4) + b

solve parenthesis:

1 = -(1)/(3)+b

add (1)/(3) to both sides:

b = (4)/(3)

final equation: y = (1)/(12)x + (4)/(3)

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is (i)a card of spade or an ace (ii)a red king (iii)neither a king nor a queen (iv)either a king or queen.Thank you.

Answers

There are 52 cards in a standard deck so that would be the whole in the part/whole equation so
i... There are 13 spade cards and then 3 other aces since there are 4 suits of cards so 16/52 or about 0.30769 or 30.8% rounded

ii....There are 2 reds of each card in a standard deck along with 2 blacks so there would be 2 red kings which would be a 2/52 chance or about 0.0384 or 3.8% rounded

iii.... There are 4 kings and 4 queens in each deck so (52-8)/52 which is a 44/52 chance, 0.8461 about, or 84.6% rounded

iv..., As I said in iii, there are 8 kings and queens so an 8/52 chance, about 0.1538, or 15.4% rounded

Using special products what is (wx-y)^2

Answers

i think that supposed to be (wx - y^2)^2?

If so, multiply using FOIL:

First: wx * wx = w^2x^2

Outside: wx * -y^2 = -wxy^2

Inside: -y * wx = -wxy^2

Last: -y^2 * -y^2 = y^4

Combine w^2x^2 - 2wxy^2 + y^4

Answer:

I believe it is wx^2 - 2ywx + y^2

Step-by-step explanation:

seperated into (wx-y)(wx-y) and used FOIL

-9-11x=68
what does x=?

Answers

The answer would be about 5, though, the correct mathematical answer is 5.36363636.