Answer:
$280
Step-by-step explanation:
Step one
Given data
A mechanic makes $350 /week
20% of his income is deducted for taxes
Required
the mechanic's take-home pay for the week
Step two:
let us find 20% of $350
=20/100*350
= 0.2*350
=$70
Therefore the take-home pay is
= 350-70
= $280
Answer:
solution set is (x,y) = (7,6)
Step-by-step explanation:
solving by substitution method
2x +y=20--------------1
6x-5y=12---------------2
from equation 1, solve for y
2x+y=20
y= 20-2x------equation 3
adding value of y in equation 2
6x-5y=12
6x-5(20-2x)=12
6x-100+10x=12
16x= 12+100
16x= 112
x= 112/16
x=7
adding value of x in equation 3
y= 20-2x
y= 20- 2(7)
y=20-14
y=6
so solution set (x,y) = (7,6)
Answer:
A 500 mg bag of prepackage seeds costing $3.95
Step-by-step explanation:
First, you need to know the amoun of grams in 1/2 kg to find the cost of the sunflower seeds:
1 kg→1000 grams
1/2 kg→ x
x=(1000*(1/2))/1
x= 1000/2
x= 500 grams
Second, you have to find the cost of 500 grams of sunflower seeds:
100 grams → $0.70
500 grams→ x
x=(500 *0.70)/100
x= 3.5
According to this, 1/2 kg of of bulk sunflower seeds cost $3.5 which is cheaper than the 500 mg bag of prepackage seeds that cost $3.95 and this means that the better value is 1/2 kg of bulk sunflower seeds as the amount is also higher as 500 mg is equal to 0.5 grams.
The left sides of the equations are the same and the right sides of the equations are different, therefore the system of equations is inconsistent.
Answer: B. inconsistent.
