Answer: The expression representing the amount of money spent is 
by Emily.
Step-by-step explanation:
Since we have given that
Let the cost price of per pair of sandals be 's'
Let the cost price of per pair of boots be 's+30'.
Number of pairs of boots = 2
Number of pairs of sandals = 3
Total cost would be
Hence, the expression representing the amount of money spent is by Emily.
Answer:
Option B
Step-by-step explanation:
Given quadratic equation is,
12a² + 9a + 7 = 0
By comparing this equation with standard quadratic equation,
hx² + kx + c = 0
h = 12, k = 9 and c = 7
By using quadratic formula,
a = 
= 
= 
= 
= 
a = 
Therefore, Option B will be the correct option.
First we need to write the equations for the given scenario. Using the equations, we can form a system of matrix for the situation.
Let the customer buys, x pounds of almonds, y pounds of cashews and z pounds of walnuts. Since he buys 12 pounds of mixed nuts, we can write:
Total cost of these mixed nuts was $118. So we can write:
Customer buys 2 more pounds of walnut than cashews. So, we can write:
Using these equations, we can set up the system of matrix as shown below in the image.
Step-by-step explanation:
5. 6x-8=9x+4
6x - 9x = 4+8
-3x = 12
x = -4
check, 6(-4) - 8=9(-4) + 4
-24-8 = -36+4
-32 = -32
6. 5a - 10 = 9a - 6
5a-9a = -6+10
-4a = 4
a = -1
check, 5(-1) -10 = 9(-1) -6
-5-10 = -9-6
-15 = -15
7. 8m-24 = 9-3m
8m + 3m = 9+24
11m = 33
m = 3
check, 8(3)-24 = 9- 3(3)
24-24 = 9-9
0 = 0
8. 10- 3z = z + 30
10-30 = z +3z
-20=4z
-5 = z
check, 10 - 3(-5) = (-5)+30
10+15 = 25
25=25
9. 3k - 14 = 10 +5k
3k - 5k = 10+14
-2k = 24
k = -12
check, 3(-12)-14 = 10+5(-12)
-36-14 = 10-60
-50 = -50
10. 6c + 8 = 2c -16
6c - 2c = -16-8
4c = -24
c = -6
check, 6(-6)+8 = 2(-6) - 16
-36 + 8 = -12 - 16
-28 = -28
