A farmer will divide a 1/4 acre plot of land into three equal-sized sections what will be the size of each section?
Five friends will share equally 1/2 yard if felt for an art project. How much felt will each friend get?
Answer:
x =-2 and z =-4
Step-by-step explanation:
We need to solve the following systems of equation
-3x-2y+4z = -16 eq(1)
10x+10y-5z = 30 eq(2)
5x+7y+8z = -21 eq(3)
Multiply eq(1) with 10 and eq(2) with 3
-30x-20y+40z = -160
30x+30y-15z = 90
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10y+25z = -70
Divide by 10
2y+5z = -14 eq(4)
Multiply eq(1) with 10 and eq(3) with 6
-30x-20y+40z = -160
30x+42y+48z = -126
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22y+88z = -286
Divide by 11
2y+8z = -26 eq(5)
Subtract eq(4) and eq(5)
2y+5z = -14
2y+8z = -26
- - +
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-3z = 12
z = 12/-3
z = -4
Putting value of z in eq(4)
2y+5z = -14
2y +5(-4) = -14
2y = -14 +20
2y = 6
y = 3
Putting value of z and y in eq(1)
-3x-2y+4z = -16
-3x-2(3)+4(-4) = -16
-3x -6 -16 = -16
-3x = -16+16+6
-3x = 6
x = 6/-3
x = -2
Answer:
Adrian's weekly payments is $60
Step-by-step explanation:
* Let us explain how to solve the problem
- Adrian placed an X-Box on layaway as a Christmas gift
- The price of the X-Box was $400
- The store charges a 5% layaway fee
- A 15% down payment
- Equal installments must be paid each week for six weeks
- We need to find Adrian's weekly payments
* At first let us find the down payment
∵ The down payment is 15%
∵ The price of the X-Box was $400
∴ The down payment = = 60
∴ The down payment is $60
∵ The store charges a 5% layaway fee
∴ The layaway fee = = 20
∴ The layaway fee is $20
- The quantity which distributed in installments is the price of the
X-box plus the layaway fee minus the down payment
∴ The installments quantity = 400 + 20 - 60 = 360
- It distributed into 6 equal installments must be paid each week
∴ Each installment = 360 ÷ 6 = $60
* Adrian's weekly payments is $60
B: 28 days
C: 32 days
D: 48 days