Height is 6 inches
Step-by-step explanation:
The volume of a box can be calculated as : l * w * h
Volume of the box is given as =672 in²
Applying the formula
v=l*w*h
672= 14*8*h
672/(14*8) = h
6=h
Height is 6 inches
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Volume of a rectangular box:brainly.com/question/10777272
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Answer:
5 + 4 = 9
Step-by-step explanation:
Here is my answer. Let just give assumptions. For example,the relationship is linear.Therefore the slope, "m," is the same throughout.
Let us make patrons the independent variable, the two points are: (1314, 11333) and (1544, 13518).
m = (13518-11333)/(1544-1314)
m = 9.5
profit = 9.5 patrons (you pick the variable names)
For 1 more patron substitute 1:
profit = 9.5 (1)
profit = 9.5
Isolate "patrons" and you get the function based on profit:
patrons = profit/9.5
The break even point is for 0 < profit.
0 < profit = 9.5 patrons
0 < 9.5 patrons
0 < patron
Answer:
4 cups
Step-by-step explanation:
because if you have 2 cups for a half a quart then add another half which means add 2 more cups 2+2=4 cups
P=pete's age now
c=claire's age now
2 year ago pete was 3times as old as his cousin clarie
p-2=3 times (c-2)
also the ratio is 1:3
2 years before that, pete was 4 times as old as claire
p-4=4 times (c-4)
so solve
p-2=3(c-2)
p-4=4(c-4)
distribute
p-2=3c-6
p-4=4c-16
p-2=3c-6
add 2 to both sides
p=3c-4
p-4=4c-16
add 4 to both sides
p=4c-12
so nowe we have
p=3c-4 and p=4c-12
therefor they are equal
3c-4=p=4c-12
3c-4=4c-12
add 12 to both sides
3c+8=4c
subtract 3c from both sides
8=c
subsitute
p-2=3(c-2)
p-2=3(8-2)
p-2=3(6)
p-2=18
addd 2
p=20
so right now, pete is 20 and claire is 8
so we solve by doing
20+what to 8+what=22 to 11
make fraction
and replace what with x
sipmlify 22/11 into 2/1
multiply both sides by 8+x
20+x=
20+x=2(8+x)
distribute
20+x=16+2x
subtract 16 from both sides
4+x=2x
subtract x from both sides
4=x
the answer is in 4 years
test
20+4=24
8+4=12
24/12=22/11?
2/1=2/1
true
the answer is in 4 years