Answer:
a. -16/3 or -5 1/3
b. 16/3 or 5 1/3
c. -6
d. -6
e. 6
Step-by-step explanation:
Answer:
The solutions are x=4, y=3. Cashews are $4 per pound and Peanuts are $3 per pound.
Step-by-step explanation:
let x = cashews
let y = peanuts
x + 2y = 10 - rosa's purchase
2x + y = 11 - sabrina's purchase
subtract 2x to isolate 'y'
y = 11 - 2x
x + 2(11 - 2x) = 10
x + 22 - 4x = 10 (Use the distributive property.)
-3x = -12
x = 4.00
Plug this into the original equations to find "y"
2(4) + y = 11
8 + y = 11
y = 3
4 + 2y = 10
2y = 6
y = 3
the solutions are: x = 4. y = 3.
Answer:
2.3333333 miles in 3.5 minutes = 2.3333333 / 3.5 =
2/3 miles per minute or
.66666666 miles per minute
In 34 minutes, it can travel 34 * (2/3) = (68/3) =
22 (2/3) miles
a b
--- = ----
b c
The fact that the ratios are equivalent in no way implies that a = c. FALSE
Answer:
6 ft and 8 ft
Step-by-step explanation:
let x be the length of one leg then (x + 2) is the other leg.
Using Pythagoras' identity in the right triangle, that is
x² + (x + 2)² = 10² ← expand left side and simplify
x² + x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide all terms by 2 )
x² + 2x - 48 = 0 ← in standard form
(x + 8)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
But x > 0 ⇒ x = 6
Thus the 2 sides are 6 ft and x + 2 = 6 + 2 = 8 ft
