Using pythagorean's theorem
a^2+b^2=c^2
a being 3
b being 4
we'll get
9+16=25
where 5 is the hypotenuse and also c.
c^2 = 5^2
|x-6| < 1 + 10 (move 10 to the right side)
|x-6| < 11
1)x-6 < 11 (here x >= 6)
2)-x+6 < 11 (here x < 6)
1)x<17
2)x>-5
so we get -5 < x < 17
the answer: (-5; 17)
Answer:
The price of a package of chocolate chip is $13.25
The price of a package of gingerbread is $17.18
Step-by-step explanation:
11x + 12y = 352
10x +8y = 270
Let "x" be the price of a package of chocolate chip.
Let "y" be the price of a package of gingerbread.
11x + 12y = 352(Multiply the 1st row by 10)
10x +8y = 270 (Multiply the 2nd row by 11)
-------------------
110x + 120y = 3520
110x +88y = 2970
--------------------------
3y = 550
y =550/3
y = 17.1875
The price of a package of gingerbread "y" is $17.18
Let's pick the first equation "110x + 120y = 3520"
110x + 120y = 3520
110x+ 120(17.1875)= 3520
110x+2062.5=3520
110x=3520−2062.5
110x=1457.5
x= 1457.5/110
x=13.25
The price of a package of chocolate chip is $13.25
Answer:
the answer is 5/8
Step-by-step explanation:
The first number will be 500
the second number will be 600
and the last number will be 990
