Answer:
37 dimes and 10 nickels
Step-by-step explanation:
let d = # dimes
let n = # nickels
we can set up a system of equations:
n + d = 47
.05n + .10d = 4.2
if we solve the first equation for 'n' we get:
n = 47-d
now we can substitute this in for 'n' in the second equation:
.05(47-d) + .10d = 4.2
2.35 - .05d + .10d = 4.2
2.35 + .05d = 4.2
subtract 2.35 from each side to get:
.05d = 1.85
d = 1.85÷.05
d = 37
if d+n = 47 and d=37 then n = 10
Check:
.05(10) + .1(37) should equal 4.2
.50 + 3.7 = 4.2 [It Checks Out]
<span>Volume of the carton=1000 cubic inches.
Dimensions of the carton are 10 inches by 10 inches by 10 inches</span><span>10*10*10 = 1000*1*1*1
Hoped this helped!
Happy Studying
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Answer:
10: 12 units^2 11: 33 units^2
Step-by-step explanation:
10:
Divide into square and 2 triangles (for simplicity)
square=9
one triangle=3/2
both triangles combined=3
9+3=12
11:
divide into 2 triangles
top triangle: height= 4, base=6
bottom triangle: height= 7, base=6
top=12
bottom=21
Add, 33.
We use the FOIL method here. First, Outer, Inner, and Last.
(5x)(x) = 5x^2
(5x)(-7) = -35x
(2)(x) = 2x
(2)(-7) = -14
5x^2 - 35x + 2x - 14
Now combine like terms.
5x^2 - 33x - 14.
This is the right answer because it is now in the form of ax^2 + bx + c
