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Illusion [34]
2 years ago
7

Given that 110ₓ = 40₅ , find the value of x.

Mathematics
1 answer:
MrRa [10]2 years ago
3 0

Answer:

x = 4

Step-by-step explanation:

110ₓ = 40₅    --------- change all to base ten.

<u>the system called binary</u>

1x²+1x ¹+0x⁰ = 45¹+0*5⁰

x² + x + 0 = 20

x² + x – 20 = 0

solve x using Quadratic equation

        -1 ± \sqrt{1^2 - 4* 1 (-20)}

x =  ------------------------------------

                        2 * 1

x = -5;  x = 4

therefore, x = 4

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Carmen wants to join a gym. Gym A costs $26.76 plus an additional $4 for each visit. Gym B has no initial fee but costs $12.92 f
joja [24]

Answer:

After 3 visits both plans will cost the same.

Step-by-step explanation:

Gym A costs $26.76 plus an additional $4 for each visit.

Gym B has no initial fee but costs $12.92 for each visist.

The cost for gym A can be written as

C= $26.76 + 4(x)  where x is the number of visits to the gym A

The cost for gym B can be written as

C= $12.92 (x)  where x is the number of visits to the gym B

Both costs will be equal

12.92x= 26.76 +4x

12.92x-4x= 26.76

8.92x= 26.76

x= 26.76/8.92

x= 3

after 3 visits both plans will cost the same.

Check

12.92x= 26.76 +4x

12.92*3= 26.76 +12

38.76= 38.76

3 0
2 years ago
6.) *
labwork [276]

Answer:

the common difference is 5.4 and yes, this is an arithmetic sequence

Step-by-step explanation:

Each new term is derived by adding 5.4 to the previous term:

2.1 + 5.4 = 7.5,

7.5 + 5.4 = 12.9,

and so on,

so the common difference is 5.4 and yes, this is an arithmetic sequence.

8 0
2 years ago
Help and explain plzzz
user100 [1]
The answer is B. She sells each orange for $0.50 and the question is asking for the total amount of money she will make by selling a certain amount of oranges. t represents the total so the equation will to equal to t. c is the number of oranges she will sell so c multiplied by $0.50 will give the total amount of money she will make.
6 0
3 years ago
Read 2 more answers
A meteorologist found that the rainfall in Lexington during the first half of the month was 1/2 of an inch. At the end of the mo
zalisa [80]

Answer:

.1 inch or 1/12 of an inch

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Helppppppppppppppppppp
Daniel [21]
Hey there! :D

Remember that the question said estimate. 

So 

47% rounds to 50% 

.5 and 1/2 are equal to 50% 

89 rounds to 90. 

You could say that:

1/2*90

0.5*90

90/2 

These will all work and will give you the same answer. 

I hope this helps!
~kaikers
8 0
3 years ago
Read 2 more answers
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