Answer:
There are 9 lemon bars left from the batch.
Step-by-step explanation:
One batch = 15 lemon bars
Josh: ate 2 lemon bars

13 lemon bars remaining.
Claire: ate twice as many as Josh
Meaning: 2 × 2 = 4

9 lemon bars remaining.
There are 9 lemon bars left from the batch.
Answer:
x = 8, y = 8√2
Step-by-step explanation:
x = 8
y = 8(√2) = 8√2
Answer:
x = 5, x = 
Step-by-step explanation:
Given
+
= 3 
= 
= 
=
( cross- multiply )
10(x² - 6x + 8) = 3(2x² - 10x + 10) ← distribute both sides
10x² - 60x + 80 = 6x² - 30x + 30 ← subtract 6x² - 30x + 30 from both sides
4x² - 30x + 50 = 0 ( divide through by 2 )
2x² - 15x + 25 = 0 ← in standard form
(2x - 5)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 5 = 0 ⇒ 2x = 5 ⇒ x = 
x - 5 = 0 ⇒ x = 5