Exponential form 4^3=8x
x =8
160 ÷ 51
= 3/7/51
i am a mathematics teacher. if anything to ask please pm me
Let <em>x</em> and <em>y</em> be the required amounts of the 35% and 60% acid solutions, respectively.
<em>x</em> liters of 35% acid solution contains 0.35<em>x</em> L of acid.
<em>y</em> liters of 80% acid solution contains 0.80<em>y</em> L of acid.
Together, a combined (<em>x</em> + <em>y</em>) L of mixed solutions contains (0.35<em>x</em> + 0.80<em>y</em>) L of acid.
You want to end up with 60 L of 65% acid solution, which means
<em>x</em> + <em>y</em> = 60
0.35<em>x</em> + 0.80<em>y</em> = 0.65 × 60 = 39
Solve for <em>x</em> and <em>y</em> :
<em>y</em> = 60 - <em>x</em>
0.35<em>x</em> + 0.80 (60 - <em>x</em>) = 39
0.35<em>x</em> + 48 - 0.80<em>x</em> = 39
0.45<em>x</em> = 9
<em>x</em> = 20
<em>y</em> = 40
No it isn’t a polynomial function
Answer:
see below (I hope this helps!)
Step-by-step explanation:
Alternate exterior angles are congruent so we know that ∠2 ≅ ∠ 7. Vertical angles are also congruent so ∠7 ≅ ∠6. Consecutive interior angles are supplementary so we know that ∠6 and ∠4 are supplementary. Now, we can use the Transitive Property (this states that if a = b and b = c then a = c) to compare ∠2 and ∠4. In this case, a = ∠2, b = ∠7 and c = ∠6 so we know that ∠2 ≅ ∠6 and since ∠6 is supplementary to ∠4, we can use the Transitive Property again to conclude that ∠2 and ∠4 are supplementary.
