Answer:
- cookie: $1.25
- cupcake: $2.75
Step-by-step explanation:
Let x and y represent the cost of a cookie and a cupcake, respectively.
4x +3y = 13.25
5x +2y = 11.75 . . . . . . the system of equations
___
By Cramer's rule:
x = (3(11.75) -2(13.25))/(3(5) -2(4)) = 8.75/7 = 1.25
y = (13.25(5) -11.75(4))/7 = 19.25/7 = 2.75
The cost of one cookie is $1.25; the cost of one cupcake is $2.75.
_____
Cramer's rule gives the solution to the system of equations ...
ax +by =c
dx +ey = f
as ...
∆ = bd -ea
x = (bf -ec)/∆
y = (cd -fa)/∆
In order to solve this equation, let's write it out in number form:
-3 - x = -10
In order to isolate 'x' we need to ensure that there is only 'x' on one side. We can get rid of the -3 by adding 3 to both sides:
-3 + 3 - x = -10 +3
-x = -7
Because there are negatives on both sides, you can simply cancel them out:
x = 7
Answer:
1) f(x)<x+4
f(x)>-x-3
f(x)<5
2)2.5>0+2
2.5<0+3
2.5<0+5
<u>----------------------------</u>
HOPE IT HELPS
HAVE A GREAT DAY!!
Answer:
0.6
Step-by-step explanation:
A permutation is an arrangement of outcomes whereas a combination is a grouping of outcomes.
Order matters in case of permutations but does not matter in combinations.
Given:
Number of red marbles = 3
Number of white marbles = 2
Number of green marbles = 1
To find: probability of picking 4 marbles and getting one of each color
Solution:
Total number of outcomes = 
= 
Number of favourable outcomes = 2 red, 1 white and 1 green marble + 1 red, 2 white and 1 green marble = 
= 
So, probability of picking 4 marbles and getting one of each color = Number of favourable outcomes/Total number of outcomes =
Answer:
10°
Step-by-step explanation:
180-20 = 160
<BCA = 160°
AC=CB because its Radius
so the angle for <CBA and <BAD also the same
(180 - 160) ÷ 2 = <BAD
<BAD = 10°
