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stiks02 [169]
3 years ago
5

Becky needs to make cookies for a school bake sale. The cookies need to be distributed evenly on 2 or more plates. If each plate

gets at least 7 cookies, what are all of the possible combinations for 3 1/2 dozen cookies? Write all 3 possible answers. (no broken cookies allowed)
Mathematics
1 answer:
Lelu [443]3 years ago
7 0

Answer:

We can take 2 plates , 3 plates or 6 plates.

Step-by-step explanation:

1 dozen = 12 numbers

Total number of cookies = 42

Each plate has to get atleast 7 cookies ,all the plates should have the same number of cookies and also the number of plates must be greater than or equal to 2.

  • If we take 2 plates , there can be 21 cookies in each.
  • If we take 3 plates , there can be 14 cookies in each.
  • If we take 6 plates , there can be 7 cookies in each.

These are the 3 possible cases.

Since there cannot be broken pieces, no other combination is possible.

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jek_recluse [69]
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8 0
3 years ago
A piece of wire measuring 20 feet is attached to a telephone pole as a guy wire. The distance along the ground from the bottom o
dem82 [27]

Answer: Height at which the wire is attached to the pole is 12 feet.

Explanation:

Since we have given that

Length of the wire = 20 feet

Let the height at which wire is attached to the pole be h

and distance along the ground from the bottom of the pole to the end of the wire be x+4

Now, it forms  a right angle triangle so, we can apply "Pythagorus theorem".

H^2=B^2+P^2\\\\20^2=x^2+(x+4)^2\\\\400=x^2+x^2+8x+16\\\\400=2x^2+8x+16\\\\400=2(x^2+4x+8)\\\\200=x^2+4x+8\\\\x^2+4x-192=0\\\\x^2+16x-12x-192=0\\\\x(x+16)-12(x+16)=0\\\\(x+16)(x-12)=0\\\\x=-16\ and\ 12

But height cant be negative so, height will be 12 feet.

Hence, height at which the wire is attached to the pole is 12 feet.


8 0
3 years ago
The sum of two consecutive integers is 129. Find two integers Let n = first integer and n+1 = second integer
aev [14]

Answer:

n=64 and n+1=65

Step-by-step explanation:

64 + 65 equals 129

6 0
2 years ago
Im pulling my hair out with this problem my calculator simplified it to <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%2B%2F-%5Cs
Tamiku [17]

~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{-5} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (2) \pm \sqrt { (2)^2 -4(3)(-5)}}{2(3)} \implies x = \cfrac{ -2 \pm \sqrt { 4 +60}}{ 6 } \\\\\\ x= \cfrac{ -2 \pm \sqrt { 64 }}{ 6 }\implies x=\cfrac{ -2 \pm 8}{ 6 }\implies x= \begin{cases} ~~ 1\\ -\frac{5}{3} \end{cases}

6 0
2 years ago
Read 2 more answers
How many 1/2 unit cubes can fit in a a prism with a volume of 6 cubic units
AlekseyPX

Answer:

48 cubes

Step-by-step explanation:

step 1

Find the volume of one 1/2 unit cube

The volume of the cube is given by

V=b^3

where

b is the length side of the cube

we have

b=\frac{1}{2}\ units

substitute

V=(\frac{1}{2})^3

V=\frac{1}{8}\ units^3

step 2

Divide the volume of the prism by the volume of one cube

6:\frac{1}{8}=6(8)=48\ cubes

3 0
4 years ago
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