X=cost per hamburgurs
y=cost per hot dog
200x+150y=1450
200x+250y=1750
we can multiply first equation by -1 and add to 2nd
-200x-150y=-1450
<u>200x+250y=1750 +</u>
0x+100y=300
100y=300
divide both sides by 100
y=3
sub back
200x+150y=1450
200x+150(3)=1450
200x+450=1450
minus 450 both sides
200x=1000
divide both sides by 200
x=5
the cost of a hamburgur is $5
the cost of a hot dog is $3
Answer:
-5.6
Step-by-step explanation:
56/-10 = -5.6
F(180) = x/30
= 180/30 = 6 gallons of gas is needed
Answer:
For
we will have positive values only.
![\left | -2.7 |\right =2.7](https://tex.z-dn.net/?f=%5Cleft%20%7C%20-2.7%20%7C%5Cright%20%3D2.7)
![\left | -9 |\right =9](https://tex.z-dn.net/?f=%5Cleft%20%7C%20-9%20%7C%5Cright%20%3D9)
Rest are positive so will give positive values out of the modulus function.
Step-by-step explanation:
The absolute value of any number is its positive value only.
As for example
and
both are having equal distance from
in a number line, one on the left other on the right side of the number line but are equidistant from
.
So absolute value of a number is its distance on number line from reference point
.
One by one we will work with all of our question.
![\left | 10 |\right =10](https://tex.z-dn.net/?f=%5Cleft%20%7C%2010%20%7C%5Cright%20%3D10)
![\left | 0.3 |\right =0.3](https://tex.z-dn.net/?f=%5Cleft%20%7C%200.3%20%7C%5Cright%20%3D0.3)
![\left | 0 |\right =0](https://tex.z-dn.net/?f=%5Cleft%20%7C%200%20%7C%5Cright%20%3D0)
![\left | -2.7 |\right =2.7](https://tex.z-dn.net/?f=%5Cleft%20%7C%20-2.7%20%7C%5Cright%20%3D2.7)
![\left | -9 |\right =9](https://tex.z-dn.net/?f=%5Cleft%20%7C%20-9%20%7C%5Cright%20%3D9)
So we have to take the positive number out of the modulus function that is also called absolute value.