A) 4(25-3y)+5y=9
100-7y=9
91=7y
y=13
(-14,13)
b) 14-x=x-10
2x=24
x=12
(12,14)
c) 4x=12
(3,7)
d) 18.5x+10.4y=200
x+y=130
Answer:
infinite
Step-by-step explanation:
If you multiply all factors in the secon eqation by 4, you will get the first eqation.
Therefore for any value of x you can find y, thus having an infinite number of x,y pairs
Answer:
her bank statement will show that she has $144 less than her checkbook balance
Step-by-step explanation:
let the amount of money in the bank before writing the check be x
after writing the check for $72, because she accidentally recorded this as a credit, here checkbook will reflect a balance of :$(x + 72)
However, the bank correctly records the debit of the $72, resulting a balance of: $(x-72)
Hence compared to her checkbook, the bank records will show an amount difference of :
(x-72) - (x + 72)
= x - 72 -x -72
= -144
i.e her bank statement will show that she has $144 less than her checkbook balance
So,
The secret to solving problems with ratios is to find the value of one unit.
5:7 = 12 units total
To find one unit, divide the total number of students by the total number of units.
600/12 = a
Simplify
50/1 = a
50 = a
The value of each unit is 50.
Now, multiply the units by the numbers in the ratio.
50(5) = b
250 = boys
50(7) = x
350 = x
There are 350 girls.
