Answer:
Store C
Step-by-step explanation:
store a is selling 10 pencils for $2.50
$2.50 divided by 10 is 25 cents
so the price for store a is 25 cents per pencil
store b is selling 50 pencils for $6.00
$6.00 divided by 50 is 12 cents
so the price for store b is 12 cents per pencil
store c is selling 100 pencils for $8.25
$8.25 divided by 100 is 8.25 cents
obviously you can't give someone .25 cents so round it down to 8
so the price for store c is 8 cents per pencil
store d is selling 250 pencils for $21.25
$21.25 divided by 250 is 8.5 cents
which rounds up to 9 cents per pencil
Store c has the lowest price for one pencil
Answer:
Option (A).
Step-by-step explanation:
Statements Reasons
1). Draw a line ZY parallel to PQ 1).Construction
2). m∠ZRP + m∠PRQ + m∠QRY = 180° 2). Angle addition postulate
3). ∠ZRP ≅ ∠RPQ 3). Alternate interior angles theorem
4). ∠QRY ≅ ∠PQR 4). Alternate angle theorem
5). m∠RPQ + m∠PRQ + m∠PQR =m∠ZRY 5). Substitution
6). m∠ZRY = 180° 6). Definition of supplementary angles
7). m∠RPQ+m∠PRQ+m∠PQR = 180° 7). Substitution
Here reason of statement (6) is incorrect.
m∠ZRY = 180°, because angle ZRY is a straight angle not a supplementary angle.
Therefore, Option (A) will be the answer.
Answer:
Choosing from.
A. positive linear association
B. negative linear association
C. nonlinear association
D. no association
I think it is nonlinear association. :/
Step-by-step explanation:
Answer:
10%
Explanation :
To solve the problem, we should know the definition of annual simple interest. We have,
Simple Interest (I) = P×R×t100
Where, P= principal amount
R = simple interest annual rate
t = time period of the annual simple interest
Here, we have R = 10% and have to calculate t for the sum of the money (that is P) to double.
Step-by-step explanation:
again, 2 unknowns.
x = number of 2- points baskets
y = number of 3- points baskets
we know they hit the basket 37 times in a so far unknown mixture of 2-point and 3- point throws.
x + y = 37
which gives us e.g.
x = 37 - y
and we know that with this unknown mixture they scored 80 points.
so,
2x + 3y = 80
as every successful 2-points throw scores 2 points, and every successful 3-points throw scores 3 points.
so, again our 2 equations :
x = 37 - y
2x + 3y = 80
remember, we prepared the first equation so that it gives us already an identity expressing one variable by the other. and that we use in the second equation :
2×(37 - y) + 3y = 80
74 - 2y + 3y = 80
74 + y = 80
y = 6
and from
x = 37 - y
we get
x = 37 - 6 = 31
so, they had 31 2-points throws and 6 3-points throws.