Answer:
<em>90 calories in total</em>
Step-by-step explanation:
<em>We can solve this equation through the following steps:</em>
<em>Step One: Since we are told that a banana is 20 less calories than an orange, we can create the Let Statements:</em>
<em>Let x= the calories in a banana</em>
<em>Let x-20=the calories in an orange</em>
<em>Step Two: Create an equation</em>
<em>Since we are told "7 bananas have the same calories as 9 oranges" we translate"</em>
<em>7x=9(x-20) Distribute</em>
<em>7x=9x-180 Subtract 9x from both sides of the equation</em>
<em>7x-9x=-180 Simplify</em>
<em>-2x=180 Divide both sides by -2</em>
<em>x=90</em>
<em>∴There are 90 calories in a banana. </em>
Answer:
They are equidistant from origin.
Step-by-step explanation:
Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'. Which statement would best describe the relationship between points N and N'?
They are equidistant from origin.
They are midpoints of segment ON and segment O prime N prime.
They are equidistant from point O.
They are midpoints of segment LN and segment L prime N prime.
Answer: If a point with location N(x, y) is rotated 90° clockwise around the origin, the new coordinate N' is at (y, -x). The distance of the two points from the origin O(0, 0) can be calculated using:

Therefore ON = ON'. The points N and N'are equidistant from the orign
Answer:
x/y= −3 => x= −3y
x²/y²+y²/x²=y²/x²
Step-by-step explanation:
Evaluate xy, then set it equal to −3.
x=−3y
Evaluate x²/y²+y²/x².
y²/x²
Answer:
30
Step-by-step explanation:
The ring operator signifies a composition of functions. The composition is evaluated right-to-left. That means the composition ...

should be interpreted to mean ...

___
To evaluate f(g(6)), we first evaluate g(6):
g(6) = 6² -5 = 31
Then we evaluate the function f using that as its argument:
f(31) = 31 -1 = 30
f(g(x)) = 30
Answer:
The number is 623.
Step-by-step explanation:
