Step-by-step explanation:
6)
7)
8)
9)
<span>4 people seated on a row may have 4! = 4x3x2x1 = 24 different ways to sit.</span>
Erika $21
3k of cinnamon
1g of gummies
Irene $39
3k of cinnamon
3k of gummies
c= cost of 1 kilogram of cinnamon
g= cost of 1 kilogram of gummies
Erika's Equation
3c + 1g= $21
Irene's Equation
3c + 3g= $39
Solve for one variable in equation one and substitute it in the other equation.
3c + 1g= 21
subtract 3c from both sides
g= 21 - 3c
Substitute g=21 - 3c in equation
3c + 3g= $39
3c + 3 (21 - 3c)= 39
multiply all in parentheses
3c + 63 - 9c= 39
63 - 6c= 39
subtract 63 from both sides
-6c= -24
c= $4
Substitute c=4 in equation to find g
3c + g= 21
3(4) + g= 21
12 + g= 21
subtract 12 from both sides
g= $9
ANSWER: The price of 1 kilogram of cinnamon red hots is $4. The cost of 1 kilogram of gummies is $9.
Hope this helps! :)
<span>Because the four numbers are consecutive, we can call the first one x, and the other three are x+1, x+2, and x+3, respectively.
x * (x+1) = (x+2) * (x+3) - 38
x^2 + x = x^2 + 5x +6-38
x^2 + x = x^2 + 5x - 32
-4x = -32
x=8
The four numbers are 8, 9, 10, and 11
check solution: 8*9=10*11-38
72=110-38
72=72</span>
Because 4.7 is the "abbreviation" for 4.70 also 4.7 is the simplified version of 4.70 kind of like a fraction you 4 70/100 simplified is 4 7/10 or 4.7.
