Answer:
Each pencil costs $0.07 and each eraser costs $0.03
Step-by-step explanation:
System of linear equations
It refers to the study of systems when n variables are related in m linear equations, each one is not independent from the others. Solving such systems can be done following very diverse approaches.
Let p=the price of each pencil while e is the price each eraser
Julio bought 4 pencils and 3 erasers, spending
David bought 3 pencils and 4 erasers, spending
The system of equations is written in the form
We'll solve it by reduction. Multiplying the first equation by -3 and the second by 4:
Adding both equations:
7e=0.21
e=0.03
Multiplying the first one by -4 and the second by 3
Adding both equations:
-7p=-0.49
p=0.07
Solution: Each pencil costs $0.07 and each eraser costs $0.03
Answer:
PO = 20
Step-by-step explanation:
They are equidistant from the centre
PG = GO
x-4=1/2x+3
Multiplying both sides by 2
2(x-4)=x+6
2x-8=x+6
2x-x = 6+8
x = 14
Now
PO = 14-4+7+3
PO = 10+10
PO = 20
Answer:
686 becomes 700
Step-by-step explanation:
367+319 = 686
hundreds tens one
6 8 6
We are rounding to the hundreds places
We have to look at the tens place
8>=5 so we will round up
6 becomes 7
686 becomes 700
Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.
<u>Step-by-step explanation:</u>
Step 1:
Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.
Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.
Step 2:
Form an equation using the above information.
⇒ 9x + 5.25 (12-x) = 12 × 7.75
⇒ 9x + 63 - 5.25x = 93
⇒ 9x - 5.25x = 30
⇒ 3.75x = 30
⇒ x = 8
Number of macadamia nuts is 8 pounds.
Step 3:
Calculate number pounds of almonds
⇒ Number of pounds of almonds = 12 - x = 4 pounds.
Answer:
the awnser should be. 165
