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Scilla [17]
3 years ago
6

If a is an even natural number such that a|208 and (a,b)=1, then find the value of b​

Mathematics
2 answers:
12345 [234]3 years ago
7 0

Answer:

b=13

Step-by-step explanation:

2|208

2|104

2|52

2|26

 |13

208=2^4×13=16×13

now (16,13)=1

as a is an even number so a=16

b=13

∵g.c.d of 16 and 13=1

or (16,13)=1

avanturin [10]3 years ago
6 0
Go On Socratic !!!!!!!!!!!!!!!!
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Explain your answer!! <br><br> Will give brainlst
Novosadov [1.4K]
• So we know that.....

x represent bags of snack and y is bottles of water.


This equations shows the total amount and the cost of each water bottle and snack:

20.00 = 2.50x + 1.00y

Total: $20.00
Snack: $2.50
Water Bottle: $1.00


And this question shows the total items:

11 = x + y

Which there will be some snack + some water bottle = 11 items


—————————————————————

• Now I’m going to first solve for x, which is the amount of bags of snack.

I will use the equation, 11 = x + y.

(First, we’ll subtract y from both side, since we’re solving for x [UNDO])

11 = x + y
-y = - y
_______
11 - y = x —> so x is equal to 11 minus y.


—————————————————————

• Now we’re going to plug the 11 - y as x in the equation: 20.00 = 2.50x + 1.00y to solve for y.

20.00 = 2.50 (11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y (Distributed)

20.00 = 27.5 - 1.50y (Combine like terms)

20.00 = 27.5 - 1.50y
-27.5 = -27.5 (Subtract -27.5 both side)
——————————
-7.5 = - 1.50y


-7.5 = -1.50y
—— ——— (Divide both side by -1.50)
- 1.50 = -1.50

5 = y

y is equals to 5, which means that there are 5 water bottles.


Now we know there are 11 items total and because there are 5 water bottles, there will be 6 bags of snacks. 11-5=6

—————————————————————

ANSWER:

They bought 6 bags of snacks! :)
4 0
3 years ago
An electrician bought 120 feet of electrical wire and used 105 feet of it. What percent of the wire went unused? 15% 12. 5% 8. 7
Yuri [45]

Answer:

12.5%

Step-by-step explanation:

105 is what percent of 120?

you can use this proportion:

if/of = %/100

in this problem:

is = 105

of = 120

'what percent' = p/100

105/120 = p/100

cross-multiply to get:

120p = 10500

p = 10500/120

p = 87.5

So the electrician used 87.5%, out of 100%, meaning 12.5% went unused

5 0
3 years ago
Read 2 more answers
4. Quinn bought a new camera. She was able to pay $60 at the time she received the camera. She will pay $15 each month on the ba
SpyIntel [72]

Answer: 6 months

Step-by-step explanation:

if the camera was 150 dollars, and she pay 60 upfront,

150-60=90 dollars left to be paid

she pays 15 dollars a month

90/15=6 months

4 0
3 years ago
Read 2 more answers
Given that 27-1/3 3 = 94 + 3r<br> 31<br> find the exact value of x.
borishaifa [10]

Answer:

the exact value is x =1/2 or x=0.5

your welcome!

5 0
3 years ago
Will mark BRAINLIST only if correct answer
Lapatulllka [165]

Answer:

its the last one third and first

Step-by-step explanation:

5 0
3 years ago
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