Answer:
Cost of Blanket = 32
Step-by-step explanation:
Let the cost of a blanket be = b , cost of a scarf be = s. Blanket price x Blanket Quantity & Scarf Price x Scarf Quantity sum up to be total sales.
So, Day 1 : 2b + 5s = 104 (i) , Day 2 : 3b + 4s = 128 (ii)
Solving equations : Multiplying (i) by 3 , & (ii) by 2 , we get
6b + 15s = 312 ,
(-)6b + (-)8s = (-)256
By elimination method, 15s - 8s = 312 - 256 → 7s = 56 → s = 56 / 7 = 8 .
Putting s value in any equation i], 2b + 5 (8) = 104 → 2b + 40 = 104 → 2b = 104 - 40 = 64 → b = 64 / 2 = 32
Answer:
<em>p = ± q / 5r + 8; Option D</em>
Step-by-step explanation:
We are given the following equation; q^2 / p^2 - 16p + 64 = 25r^2;
q^2 / p^2 - 16p + 64 = 25r^2 ⇒ Let us factor p^2 - 16p + 64, as such,
p^2 - 16p + 64,
( p )^2 - 2 * ( p ) * ( 8 ) + ( 8 )^2,
( p - 8 )^2 ⇒ Now let us substitute this into the equation q^2 / p^2 - 16p + 64 = 25r^2 in replacement of p^2 - 16p + 64,
q^2 / ( p - 8 )^2 = 25r^2 ⇒ multiply either side by ( p - 8 )^2,
q^2 = 25r^2 * ( ( p - 8 )^2 ) ⇒ divide either side by 25r^2,
q^2 / 25r^2 = ( p - 8 )^2 ⇒ Now apply square root on either side,
| p - 8 | = √( q^2 / 25r^2 ) ⇒ Simplify,
| p - 8 | = q / 5r,
| p | = q / 5r + 8,
<em>Answer; p = ± q / 5r + 8; Option D</em>
Answer:
12+ (-6) + (-2)
Step-by-step explanation:
Take the amount of money she started with and subtract the purchases
12 - 6 -2
If we want to use addition, add the opposite
12+ (-6) + (-2)
Answer:
a) Negative Correlation
b) Diagram C
c) Correlation c because it is a positive correlation
Hope this helps :)
Step-by-step explanation: