Answer:
<h2>1 < x < 6 ⇒ x ∈ (1, 6)</h2>
Step-by-step explanation:
3x - 8 > -5 <em>add 8 to both sides</em>
3x > 3 <em>divide both sides by 3</em>
x > 1
2x - 7 < 5 <em>add 7 to both sides</em>
2x < 12 <em>divide both sides by 2</em>
x < 6
From x > 1 and x < 6 we have the solution 1 < x < 6 ⇒ x ∈ (1, 6)
Answer is -9
Multiplying by 1/4 is the same as dividing by 4
-36(1/4) = -36/4 = -9
Tan^-1 (27/48)
x ≈ 29.36°
hope this helps!
Step-by-step explanation:
Equations:
Quantity:: d = n + 3
Value::: 10n + 5d = 615 cents
-------------------------------------------
Modify::
d - n = 3
d + 2n = 123
--------------------------------------------
Subtract and solve for "n"::
3n = 120
n = 40 (# of nickels)
d = n+3 = 43 (# of dimes)
