They give us 2 pieces to the puzzle. Both are positive numbers...x and y.
1.) 1 number is 1 less than twice another number. (x = 2y -1)...and
2.) the sum of their squares is 106. (x^2 + y^2 = 106).
substitute the value for x into the second equation.
(2y-1)^2 + y^2 = 106
(2y-1) (2y-1) + y^2 = 106 (use distributive property)
4y^2 - 2y - 2y + 1 + y^2 = 106 (subtract 106 from both sides)
4y^2 - 2y - 2y + 1 + y^2 - 106 = 106 - 106 (combine like terms)
5y^2 - 4y - 105 = 0 (factor)
(y-5) (5y-21) = 0 (set to 0)
y - 5 = 0
y = 5
substitute the 5 into the equation for y (x = 2(5) - 1)
x = 9 if we square 9, we get 81.
subtracted from 106 we have 25...the square root of 25 is 5.
our answers are 5 and 9.
I cant see one of the numbers
Answer:
The tax Jenna and Richie pay on the gifts is <u>$3.85</u>.
Step-by-step explanation:
Given:
Cost of scarf = $12.45.
Cost of necklace = $35.65.
State tax charges sale tax = 8%.
Now, to find the sales tax paid on the gifts.
So, adding the price of the gifts:
Thus, the total amount of the gifts = $48.10.
Now, getting the sales tax the state charges:
<em><u>The tax nearest to cent = $3.85</u></em>
Therefore, the tax Jenna and Richie pay on the gifts is $3.85.
1.25 represents the cost of each of the toppings in the pizza and the price of the pizza without the toppings is the (12) and f(x) is the total cost of the pizza
A is the correct answer for this question
<span>Yes, so our unit rate is 1:6</span>
