Answer:
x = -7
Step-by-step explanation:
41 + 76 + x + 70 = 180
x + 187 = 180
x = 180 - 187
x = -7
Answer:
$1880.48 to the nearest cent.
Step-by-step explanation:
Total after n years = P(1 + r)^n where P = initial deposit, r = the rate as a fraction.
4 5/8 % = 0.04625.
Here the total after 5 years = 1500(1 + 0.04625)^5
= $1880.48 to the nearest cent.
Size is not preserved under dilation.
Can of baked beans = x
packet of brown sugar = y
packet of biscuit = z
5x + 4y + 2z = 150 - 26 ⇒ 5x + 4y + 2z = 124 is the total cost of all items.
can of baked beans = x = 1/2 of z
packet of sugar = y = z - 3
5(z/2) + 4(z-3) + 2z = 124
5z/2 + 4z - 12 + 2z = 124
5z/2 + 6z = 124 + 12
2(5z/2 + 6z) = 2(136)
5z + 12z = 272
17z = 272
z = 16 cost of a packet of biscuit.
x = 1/2 of z = 16/2 = 8 cost of a can of baked beans
y = z - 3 = 16 - 3 = 13 cost of a packet of sugar
5x + 4y + 2z = 124
5(8) + 4(13) + 2(16) = 124
40 + 52 + 32 = 124
124 = 124
8(8) + 1(13) + 6(16) = 64 + 13 + 96 = 173 total cost on question 3.
