<u>Answer:</u>
None
<u>Explanation:</u>
-3(2+7) = -3×9 = -27
-6+21 = 15
-21+6 = -15
Hence there is no equivalence
1/2 × 40 = 2x + 8
⇔ 20 = 2x + 8
⇔ 12 = 2x
⇔ x = 6
Did you ever get the answer? I have pretty much the same exact one but mine said 150 skaters and I don't know how to answer it.
Answer:
We consider a triangle ABC as attached in the answer.
We draw a line parallel to AB that passes through point C.
Angles C and C' are vertical angles, therefore ∠C = ∠C'.
Angles B and B' are corresponding angles, therefore ∠B = ∠B'.
Angles A and A' are corresponding angles, therefore ∠A = ∠A'.
it can be seen that angle sum ∠A + ∠B + ∠C is equal to the angle sum ∠A' + ∠B' + ∠C'.
The three angles A', B', and C' form together a straight angle so, their angle sum is 180°. But then the angle sum ∠A + ∠B + ∠C must also be 180°.
This proofs that sum of angles of a triangle is equal to 180.
10 pounds of candy costing $1.20 per pounds must be mixed with 40 pounds of candy costing $ 0.95 per pound to obtain a 50 pounds of candy costing $ 1 per pound
<em><u>Solution:</u></em>
Let "x" be the pounds of candy at $ 1.20 per pound
Then (50 - x) is the pounds of candy at $ 0.95 per pound ( since 95 cents is equal to 0.95 pound)
Therefore, x pounds of candy costing $1.20 per pounds must be mixed with (50 - x) pounds of candy costing $ 0.95 per pound to obtain a 50 pounds of candy costing $ 1 per pound
Then the equation becomes,
1.20x + (50 - x)0.95 = 50 x 1
On expanding we get,
1.20x + 47.5 - 0.95x = 50
0.25x = 50 - 47.5
0.25x = 2.5
x = 10
Then (50 - x) = 50 - 10 = 40
So we need 10 pounds of candy worth $ 1.20 per pound and 40 pounds of candy worth $ 0.95 to obtain 50 pounds of candy worth a dollar a pound
