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inn [45]
2 years ago
5

The product $ab = 1200$, $a$ is an integer, and $b$ is an odd integer. What is the largest possible value of $b$?.

Mathematics
1 answer:
lana66690 [7]2 years ago
7 0
<h3>ANSWER:</h3>

Largest possible value of b is:

75

<h3>Step-by-step explanation:</h3>

we are given that:

ab=1200

where a is an integer and b is an odd integer.

we know that product of odd numbers is always odd.

Now, 1200= 12×100

               = 2×6×10×10

              =2×2×3×2×5×2×5

It cannot be factorized further

Now, considering the product of all odd numbers

=3×5×5

=75

Now, if we multiply any other remaining number from the factorization of 1200, we will get a even number

Hence, The largest possible value of b is:

75

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Including a 6% sales tax, an inn charges $155.82 per night. Find the inn's nightly cost before tax is added.
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we know the Inn is charging 155.82 and that's 100% plus 6%, namely 106% of an amout of say that is "x", being the 100%.

since we know that 155.82 is 106%, what is "x"?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 155.82&106\\ x&100 \end{array}\implies \cfrac{155.82}{x}=\cfrac{106}{100}\implies \cfrac{155.82}{x}=\cfrac{53}{50} \\\\\\ 7791=53x\implies \cfrac{7791}{53}=x\implies 147=x

3 0
2 years ago
Let p = the product of all the odd integers between 500 and 598, and let q = the product of all the odd integers between 500 and
tia_tia [17]

p=501\cdot503\cdot\cdots\cdot597

q=\underbrace{501\cdot503\cdot\cdots\cdot597}_p\cdot599\cdot601

So we have q=359,999p. Then

\dfrac1p+\dfrac1q=\dfrac{359,999}{359,999p}+\dfrac1q=\dfrac{359,999+1}q=\dfrac{360,000}q

and the answer is D.

4 0
3 years ago
Simplify (√3 − √7)^2
Alika [10]

Answer: 10 - 2√21

Step-by-step explanation: I simplified your question by using an online calculator. :)

3 0
3 years ago
Find the rule and the graph of the function whose graph can be obtained by performing the translation 3 units left and 2 units d
Vsevolod [243]

Let

g(x)--------> the translation of the function f(x)

we know that

the rule of the translation is

3 units left and 2 units down

that means

(x,y)-------> (x-3,y-2)

so

In the function f(x) the point (0,0) is equal at the point  (-3,-2) in the function g(x)

therefore

the function g(x) is equal to

g(x)=f(x+3)-2

g(x)=(x+3)^{3} -2

<u>The answer is</u>

a) the rule of the translation is (x,y)-------> (x-3,y-2)

b) The graph in the attached figure


5 0
3 years ago
Can someone help me understand this?
ASHA 777 [7]

< means 'less than'. 3.5 is less than 4.5, so A is correct. Since -4.5 is NEGATIVE it is less than 0. As for C, since both numbers are negative, it would be the seemingly 'smaller' number that is actually bigger. It may help to think of the numbers on a number line. In the negatives, the numbers start to go in reverse, so the further from 0 a negative number is, the smaller it is. -4.5 IS LESS than -3.5. All answers are correct.

4 0
3 years ago
Read 2 more answers
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