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Stolb23 [73]
3 years ago
14

Farmer Dave builds a create to hold vegetables. The volume of the create is 48 cubic feet. The base area of the create is 16 squ

are feet. What is the height of the create?
Mathematics
1 answer:
Veronika [31]3 years ago
5 0
16 sq ft = 2 ft x 8 ft 
                4 ft x 4 ft

but..
4 ft x 4 ft x 4 ft = 64 cubic ft

So 4 cannot be the height of this crate.

h represents the height of the crate (defined variable)
2 ft x 8 ft x h = 48 cubic ft
16h = 48
h = 3 ft

The height of the crate is 3 feet.

Check:
2 ft x 8 ft x 3 ft = 48 ft ³
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In 1983 the composition of pennies in the United States was changed due, in part, to the rising cost of copper. Pennies minted a
MA_775_DIABLO [31]

Answer:

<u>Solution for (a)</u>

Earlier Copper pennies are 22.

After 1983 pennies are 28.

Step-by-step explanation:

Pennies minted after 1983 weigh 2.50g

Earlier copper pennies weigh 3.11g

A roll of pennies contains 50 pennies.

A particular roll of pennies weighs 138.42g

Let the number of pennies minted after 1983 be x and;

Earlier copper pennies be 50 - x

2.50x + 3.11(50 - x) = 138.42

Opening the brackets gives;

2.5x + 155.5 - 3.11x = 138.42

Solving like terms together gives;

-0.61x = -17.08

Dividing through gives;

x = 28

So there are 28 after 1983 pennies and;

50 - 28 = 22 earlier pennies.


3 0
2 years ago
If the number of bacteria in a colony doubles every 480 hours and there is currently a
HACTEHA [7]

Answer:

800

Step-by-step explanation:

960 = 2 x 480, so the bacteria will double twice

200 x 2 x 2 = 800

8 0
2 years ago
Read 2 more answers
3. Factor.
sleet_krkn [62]
It seems that some the work is already here, but I'd be glad to!! So for #3 which is 9x^2+15x, we can factor out both a 3 and an x (3x) so we know that 3x * 3x =9x^2 and 3x * 5 = 15x so once we take the 3x out of the equation, we are left with 3x(3x+5) and that's as far as you can factor.
For #4, we see that the common factor is 10m because 10m * 2n = 20mn and 10m * 3 = 30m so once we take 10m out of the original, it becomes 10m(2n-3)
For #5, this one the common factor is 4xy because 4xy * 2xy=8x^2y^2 and 4xy*x= 4x^2y and 4xy*3=12xy so once we take the 4xy out of the equation, it becomes 4xy(2xy-x-3)
Hope this helps!
5 0
3 years ago
Given that f(x) = x2 + 3x + 6 and g(x) = the quantity of x plus two, over three, solve for f(g(x)) when x = 1
MaRussiya [10]
Easy
f(g(1))
evaluate g(1) then plug thatin for x in f(x)
g(1)=(x+2)/3
g(1)=(1+2)/3
g(1)=1

f(g(1))=
f(1)=(1)^2+3(1)+6
f(1)=1+3+6
f(1)=10
f(g(1))=10
3 0
3 years ago
Read 2 more answers
-5=5(d+4)<br> Please give step by step
bekas [8.4K]

Answer:

  1. first distribute the 5 to the d and 4
  2. 5(d+4) then becomes 5d+20
  3. then subtract 20 from both sides of the equation
  4. -5=5d+20 is now -25=5d
  5. lastly divide 5 from both sides
  6. -25=5d is now -5=d
  7. hope this helps!
6 0
3 years ago
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