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Westkost [7]
3 years ago
13

Kari bought 3 boxes of cookies to share with a book club. Each box contains 12 cookies. The expression represents the number of

cookies that each person, p, can have if the cookies are divided equally. Which evaluations of the expression are correct? Select three options.
Mathematics
2 answers:
ivanzaharov [21]3 years ago
7 0

<u>ANSWER:</u>

Kari bought 3 boxes of cookies to share. The algebraic expression is \frac{36}{x}

<u>Solution:</u>

Given, Kari bought 3 boxes of cookies to share with a book club.  

Each box contains 12 cookies.  

So, in total we have 3 x 12 cookies = 36 cookies.

Now, we have to find how many cookies can each person p will get.

Let, the total number of persons be x.

Then, after equally sharing the cookies,

\text { Number of cookies with each person }=\frac{\text {number } of \text { cookies available.}}{\text {total number of persons}}

=\frac{36}{x} \text { cookies. }

Hence, the algebraic expression is \frac{36}{x}

mrs_skeptik [129]3 years ago
6 0

Answer:

If p = 7, then each person would get 5 cookies, with 1 cookie left over.

If p = 10, then each person would get 3 cookies, with 6 cookies left over.

If p = 11, then each person would get 3 cookies, with 3 cookies left over.

B

D

E

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Imagine that you are standing at the top of a cliff that is 1,500 feet above sea level. You see ship A, and your eyes make an an
kati45 [8]
Answer: option A. 30 °.

Explanation:

1) Draw this triangle: Eyes - Ship A - height of the cliff:

The angle of the vertix where the eyes are is: 90° - depreesion angle = 90° - 60° = 30°.

2) opossite leg = horizontal distance to the ship A = x

3) adjacent leg = height of the cliff = 1500 feet

4) tan(30°) = x / 1500 feet => x = 1500 tan(30°) = 1500 √3 / 3 = 500√3

5) Draw the triangle of the eyes - ship B - hieght of the cliff

6) The unknown is the depression angle of the eyes with ship B, α

7) opposite leg = 500√3 feet + 1000√3 feet = 1500√3 feet

8) adjacent leg = height of the cliff = 1500 feet

9) tan(α) = opposite leg / adjacent leg = 1500√3 / 1500 = √3

10) α = arctan(√3) = 60°

11) Depression angle = 90° - 60° = 30° Which is the answer

5 0
3 years ago
Read 2 more answers
I really need help please!
pashok25 [27]

As we know that angle of semi circle is 180°.

Here,

FLG = 40°

GLH = ?

HLJ = 60°

FLG + GLH + HLG = 180°

40° + GLH + 60° = 180°

GLH + 100° = 180°

GLH = 180° - 100°

GLH = 80°

Now,

FLH = 40° + 80° = 120°

\sf \: Length \:  of  \: an \:  arc  \: of \:  GHF =   \dfrac{ \theta}{360}  \times 2 \pi \: r

=  \dfrac {120}{360}  \times 2 \times  \dfrac{22}{7}  \times r

=  \frac{1}{3}  \times  \frac{44}{7}  \times r

=  \frac{44}{21}  \times r

= 2.09r

4 0
3 years ago
The width of a rectangle is 3 feet less than it’s length. The perimeter of the rectangle is 98 feet. Find the dimensions of the
horsena [70]

Answer:

The length is 26 feet and the width is 23 feet

Step-by-step explanation:

Let l represent the length of the rectangle.

The width can be represented by l - 3, since it is 3 feet less than the length

Set up an equation:

l + l + (l - 3) + (l - 3) = 98

Add like terms and solve for l:

l + l + (l - 3) + (l - 3) = 98

4l - 6 = 98

4l = 104

l = 26

So, the length is 26 feet.

Since the width is l - 3, we can plug this in for l to find the width:

l - 3

26 - 3

= 23

So, the length is 26 feet and the width is 23 feet

4 0
3 years ago
A.104<br> B.95<br> C.85<br> D.114
GarryVolchara [31]

D 114 is the answer

7 0
2 years ago
Read 2 more answers
school teacher and needs 22 pieces of wood, 3 over 8 ft long, for a class project. If he has a 9-ft board from which to cut the
tiny-mole [99]

Answer:

Yes, he will have enough 3 over 8 ft pieces for his class.

Step-by-step explanation:

Given:

Number of wood required = 22

Length of each wood, l=\frac{3}{8}\textrm{ ft}

Total length of the board, L=9\textrm{ ft}

Therefore, the number of woods that can be made using the given board is given as:

\textrm{Number of woods made}=\frac{\textrm{Total length of board}}{\textrm{Length of each wood}}\\\textrm{Number of woods made}=\frac{L}{l}=\frac{9}{\frac{3}{8}}=9\times \frac{8}{3}=\frac{72}{3}=24

So, he can make 24 woods of length \frac{3}{8}\textrm{ ft} using the 9 ft board. But he has to make only 22 pieces.

Therefore, he has enough of the wood to make the required number of pieces.

3 0
3 years ago
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