Answer:
1. Brand 1 has a better unit price of (about) $2.14.
2. Brand 1 is the better deal.
$2.14/lb is the unit price of this brand.
Step-by-step explanation:
Question 1:
B1: $12.19 / 5.7 lbs = about $2.14
B2: $2.15
$2.14 < $2.15
Answer:
PE = 83 and Science = 71
Step-by-step explanation:
let P represent PE and S represent Science with P > S, then
P + S = 154 → (1)
P - S = 12 → (2)
Adding the 2 equations term by term eliminates S
2P = 166 ( divide both sides by 2 )
P = 83
Substitute P = 83 into (1)
83 + S = 154 ( subtract 83 from both sides )
S = 71
Hence PE mark = 83 and Science mark = 71
Answer:
C) -8cos 3xsin x
Step-by-step explanation:
To express -4(sin4x - sin2x) as a product, we use the formula sinA - sinB = 2cos[(A + B)/2]sin[(A - B)/2.
Comparing sin4x - sin2x with sinA - sinB, A = 4x and B = 2x.
Substituting these into the equation, we have
sin4x - sin2x = 2cos[(4x + 2x)/2]sin[(4x - 2x)/2
sin4x - sin2 x = 2cos[6x/2]sin[2x/2]
sin4x - sin2x = 2cos3xsinx
So, -4(sin4x - sin2x) = -4(2cos3xsinx) = -8cos3xsinx
So, -4(sin4x - sin2x) = -8cos3xsinx
Thus, the answer is C
Answer:
x = 6
y = -9
x = -25
Step-by-step explanation:
<u>1st Equation</u>
Step 1: Write out equation
3(4x - 3) - 19 = 8x - 4
Step 2: Solve
12x - 9 - 19 = 8x - 4
12x - 28 = 8x - 4
4x - 28 = -4
4x = 24
x = 6
<u>2nd Equation</u>
Step 1: Write out equation
-6y + 14 = 32 - 4y
Step 2: Solve
-2y + 14 = 32
-2y = 18
y = -9
<u>3rd Equation</u>
Step 1: Write out equation
-28 + 5 - 3x = 2 - 2x
Step 2: Solve
-23 - 3x = 2 - 2x
-23 = 2 + x
-25 = x
x = -25
Answer:
3136 = 2^6 × 7^2
2744 = 2^3 x 7^3
✓3136/3✓2744 = ✓(2^6 × 7^2)/3✓(2^3 x 7^3) = (2^3 x 7)/3 x 14(✓14) = 56/42✓14 =4/3✓14
