Answer:
D) q + d = 330
0.25q + 0.1d = 6
Step-by-step explanation:
Let q= numbers of quarters
d = number of dimes
q + d = 33 ...........(1)
q = 33 - d
xq + yd = 6 ..........(2)
We will consider the options to know the correct answer
From option A
q +d = 6
25q + 10d = 33
This is wrong
Option B
q + d = 60
0.25q + 0.1d = 33
This is also wrong
Option C
q+d = 33
25q + 10d = 6
Put q = 33 -d in equation 2
25(33 - d) + 10q = 6
825 - 25d + 10d = 6
825 - 15d = 6
-15d = 6-825
-15d = -819
d = -819/-15
d= 54.6
This is also wrong because d exceeds the combination.
Option D
q+d = 33
0.25q + 0.1d = 6
Put q = 33 -d in equation 2
0.25(33 - d) + 0.1d = 6
8.25 - 0.25d + 0.1d = 6
8.25 - 0.15d = 6
-0.15d = 6 - 8.25
-0.15d = -2.25
d = -2.25/ -0.15
d = 15
q = 33 - 15
q = 18
This is correct
Answer:
0, 3, -6, 7
Step-by-step explanation:
Y^24 isn't a cube, the closest number is 27
16)
83 + 86 + 91 + 77 + x = 5(85)
x+ 337 = 425
x = 425 -337
x = 88
answer: last test he needs to make 88
17)
x+y = 5000; x = 5000 - y
0.045x + 0.06y = 270
substitute x = 5000 - y into 0.045x + 0.06y = 270
0.045x + 0.06y = 270
0.045(5000 - y) + 0.06y = 270
225 - 0.045y + 0.06y = 270
0.015y = 45
y = 3000
x = 5000 - 3000 = 2000
answer:
he invested $2,000 in checking account and $3,000 in savings account
----------------------
double check
0.045x + 0.06y = 270
0.045(2000) + 0.06(3000) = 270
90 + 180 = 270
270 = 270