9514 1404 393
Answer:
A, C
Step-by-step explanation:
First of all, recognize that any basic arithmetic operation between a rational number and an irrational number will have an irrational result. That means, you can eliminate any answer choices that involve an irrational number.
Fractions and mixed numbers involving integers are <em>always rational</em>, so you only need to look at the radicals. You know 9 is 3×3, so is a perfect square, and √9 = 3 is rational. You know 5 is not a perfect square, so <em>√5 is irrational</em>.
Considering the above, any expression involving √5 will have an irrational result. That means you can eliminate choices B and D.
choices A and C will result in a rational number
_____
<em>Additional comment</em>
A = 6.8 +0.75 = 7.55 (rational)
C = 6.8 × 0.75 = 5.100 (rational)
Answer:
the answer should be Annie
Number of sweaters bought by Jocelyn = 2
Price of the 2 sweaters including tax and discount coupon = 23.56
Amount of ales tax taken = 1.36
Amount of discount coupon = 5.00
Then
Price of 2 sweaters before tax = 23.56 - 1.36
= 22.20
Then
Price of the sweater before discount coupon was applied = 22.20 + 5.00
= 27.20
So
Price of 1 sweater before tax and coupon discount = 27.2/2
= 13.6
So the price of 1 sweater before tax and coupon discount is 13.6.
In this question, you're solving for a.
Solve for a:
-8(1 - a) =-7 -(1 - 3a)
<em>use the distributive property</em>
-8 + 8a = -7 -(1 - 3a)
-8 + 8a = -7 - 1 + 3a
<em>combine like terms</em>
-8 + 8a = -8 + 3a
<em>subtract 3a from both sides</em>
-8 + 5a = -8
<em>add 8 to both sides</em>
5a = 0
<em>divide both sides by 5</em>
a = 0