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laiz [17]
3 years ago
10

Allen is building birdhouses that require 1/2-foot-long boards. How many pieces that are exactly 1/2 ft long can be made from a

board that is 8 1/4 ft long?
Mathematics
1 answer:
Ymorist [56]3 years ago
6 0
Hello!

Since you have a board that is 8 and 1/4 feet long, the easy way to calculate how many 1/2 feet are on 8 feet is two multiply 8 x 2, since there are two halves of a foot, in one foot (because two halves equal one whole). Now this may sound confusing but we can double check.
   _________
   |       |          As we can see here, there are two rows, each with 8 halves.
  V      V          So now we multiply 8 x 2 and get 16.
1/2 + 1/2 = 1
1/2 + 1/2 = 1
1/2 + 1/2 = 1
1/2 + 1/2 = 1
1/2 + 1/2 = 1      
1/2 + 1/2 = 1
1/2 + 1/2 = 1
1/2 + 1/2 = 1
                  ^-- Now if you add all of these, it's 8, proving that you can do 8 x 2

Yes, you may be asking, "What about the 1/4?" Don't worry about it! Questions like this try to trick you into making it more complicated, it asks how many halves are in 8 and 1/4, but 1/4 isn't enough to make a half so we leave it alone.
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How many blocks with dimensions of One-third times 1 times 1 can fit in a unit cube?
gtnhenbr [62]

Answer: 3

Step-by-step explanation:

Given

The dimension of the small block is

\dfrac{1}{3}\times 1\times 1

The Volume of the cube having unit length is

V=1\times 1\times 1\\V=1\ unit^3

The number of blocks that can be in the unit cube is the division of the volume of the unit cube and block.

\Rightarrow \dfrac{1\times 1\times 1}{\dfrac{1}{3}\times 1\times 1}\\\\\Rightarrow \dfrac{3}{1}=3

7 0
2 years ago
Read 2 more answers
Find the measure of the smaller angle in the figure
Nataliya [291]
You know that the two angles make up a perfectly flat line, which is a 180<span>° angle. So we can create the equation:'

3x + 10 = 12x

Now solve for 'x'. Subtract 3x to both sides:

10 = 9x

Divide 9 to both sides:

x = 10/9

We want to find the smaller angle, so put this value in for 'x' in '3x + 10':

3x + 10

3(10/9) + 10

30/9 + 10

13 1/3</span><span>°</span>
6 0
3 years ago
One month kris rented 3 movies and 8 video games for a total of $53. the next month she rented 5 movies and 2 video games for a
SCORPION-xisa [38]
Make a system of equations and solve for each variable.

3m+8v=53
5m+2v=26

m= movie cost
v= game cost

multiply the bottom equation by 4(combination method)

3m+8v=53
20m+8v=104. Subtract

-17m = -51
m= 3

Plug back into one of the equations

5(3)+2v=26
15+2v=26
2v=11
v=5.5

m=$3
v=$5.5


6 0
3 years ago
PLEASE HELP OUT!!! im super lost.
Alex73 [517]

Just replace X with the given value.

X = -3

f(-3) = 5 -  (-3)

f(-3) = 5 +3

f(-3) = 8

3 0
2 years ago
What is 42/8832 with remainder
mario62 [17]
8832 ÷ 42 = 210.2857

3 0
2 years ago
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