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zhannawk [14.2K]
3 years ago
5

Select the proper order from the least to the greatest 1/2 5/6 2/7 4/2

Mathematics
1 answer:
Olin [163]3 years ago
4 0

Answer:

1/2, 2/7, 5/6, 4/2

Step-by-step explanation:

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√180 can be expressed in the form p√q. where p and q are integers. Find the smallest value of p + q. ​
frutty [35]

Answer:  

The smallest value of p+q is 11

It happens when p = 6 and q = 5.

=======================================================

Explanation:

Let's factor 180 in such a way that exactly one factor is a perfect square.

I'll ignore the trivial factor of 1.

Here are the possible factorizations we could go with:

180 = 4*45

180 = 9*20

180 = 36*5

Those factorizations then lead to the following

\sqrt{180} = \sqrt{4*45} = \sqrt{4}*\sqrt{45}= 2\sqrt{45}\\\\\sqrt{180} = \sqrt{9*20} = \sqrt{9}*\sqrt{20}= 3\sqrt{20}\\\\\sqrt{180} = \sqrt{36*5} = \sqrt{36}*\sqrt{5}= 6\sqrt{5}\\\\

Then we have

p+q = 2+45 = 47

p+q = 3+20 = 23

p+q = 6+5 = 11

The smallest value of p+q is 11 and it happens when p = 6 and q = 5.

Side note: p+q is smallest when we go with the largest perfect square factor.

6 0
2 years ago
Nathan ordered one cheeseburger and one bag of chips for 3.75 jack ordered two cheeseburgers and three bags of chips for 8.25 kn
Elan Coil [88]

Answer:

cheeseburger is $3 and chips is $0.75

Step-by-step explanation:

Let price of cheeseburger be x while price of a bag of chips be y hence for the case of Nathan, we can write the equation as x+y=3.75. Similarly, for Jack, we can write it as 2x+3y=8.25

x+y=3.75 hence x=3.75-y and substituting this into the second equation we have

2x+3y=8.25

2(3.75-y)+3y=8.25

7.5-2y+3y=8.25

y=8.25-7.5=0.75

x=3.75-y=3.75-0.75=3

Therefore, price of cheeseburger is $3 and chips is $0.75

7 0
3 years ago
Exam for edmentum// multiplying monomials please help
Artemon [7]

Answer:

3 {w}^{5}  \times  {7w}^{5}  \\  \\  = (3 \times 7)( {w}^{5}  \times  {w}^{5} ) \\  \\  = 21( {w}^{5}  \times  {w}^{5} )

from law of indices:

{x}^{a}  +  {x}^{b}  =  {x}^{(a + b)}

therefore:

= 21 \{ {w}^{(5 + 5)}  \} \\  \\  ={ \boxed{ 21 {w}^{10} }}

4 0
3 years ago
The measure of angle 1 is (3x + 10)° and the measure of angle 4 is (4x – 15)°. What is the measure of angle 7
jasenka [17]
Your answer will be 95 degrees. (3x+10)=(4x-15) ends up with x=25. Plug it in to (3x+10). You should get 85 degrees. Using the definition of supplementary angles, angle 3 will be 95. Angle 7 and angle 3 are corresponding angles. 
4 0
3 years ago
How do I work out the problem 44,756÷167
ArbitrLikvidat [17]
Eazy 44,756
then you do 167 not take 447 the first part of the first number now can 167 go into 447 yes it can then from there wants you have leftover numbers then add 5 to the leftover and see if 167 can go into it from there take the last digit from 44,756 and there you go 

8 0
3 years ago
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