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Westkost [7]
2 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]2 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]2 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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The average low temperature by month in Nashville is represented by the function
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Answer:

<h2>33</h2>

Step-by-step explanation:

Given the average low temperature by month in Nashville is represented by the function  f(x)=-1.4x² + 19x +1.7, where x is the month, the average rate of change is expressed as d[f(x)]/dx = 2(1.4x) + 19

d[f(x)]/dx  = 2.8x + 19

Since the number of months between March and August is 5 months and x is in months, hence we will substitute x = 5 into the resulting function to get  the average rate of change from March to  August as shown;

d[f(x)]/dx  at x = 5

= 2.8(5)+ 19

= 14 + 19

= 33

<em>Hence the average rate of change from March to August is 33</em>

4 0
2 years ago
An oblique prism has trapezoidal bases and a vertical height of 10 units. An oblique trapezoidal prism is shown. The trapezoid h
denis23 [38]

Answer:

volume of trapezoidal prism = 15x^2 cubic units

Step-by-step explanation:

First, area of the trapezoidal bases.

Parallel sides measure x and 2x, for an average of 1.5x.

Height = x

Area of trapezoidal base = 1.5x*x = 1.5x^2

Volume of prism = area base * height

(length does not matter, height does)

= 1.5x^2 * 10 = 15x^2

5 0
1 year ago
True or false a corollary is a statement that can be easily proved using a theorem
sammy [17]

Answer:

The given statement is true.

Step-by-step explanation:

A corollary is a statement that can be easily proved using a theorem. This statement is true.

A corollary is usually defined as some idea formed from something that is already existing or already been proven.

This is the reason it is not difficult to prove as it has already been proven.

7 0
1 year ago
In ΔMNO, the measure of ∠O=90°, ON = 65, MO = 72, and NM = 97. What is the value of the tangent of ∠M to the nearest hundredth?
PilotLPTM [1.2K]

Answer:

Therefore the value of tangent of ∠M is 42°.

Step-by-step explanation:

Given that,

                  In ΔMNO, ∠O=90°, ON=65, MO=72, and NM=97.

and we have to find the value of tangent of ∠M.

Diagram of the given triangle is shown below:

Now,

ΔMNO is a right angle triangle, so we can use all the trigonometric ratio.

sin\alpha =\frac{Perpendicular}{Hypotenuse}

cos\alpha =\frac{Base}{Hypotenuse}

tan\alpha =\frac{sin\alpha }{cos\alpha } = \frac{Perpendicular}{Base}

tangent of ∠M = \frac{Perpendicular}{Base}

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∴∠M = tan^{-1} (0.90278)

        = 42.0750° ≅ 42°

Therefore the value of tangent of ∠M is 42°.

4 0
2 years ago
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