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Aleonysh [2.5K]
4 years ago
11

If a=3+10b and c=2+5b, what is a in terms of c

Mathematics
2 answers:
Zielflug [23.3K]4 years ago
8 0

Answer:

 98

Step-by-step explanation:

mixas84 [53]4 years ago
4 0

Answer:

Step-by-step explanation:

If

a = 3+ 10 b

It can be written as

b = (a - 3)/10

But

c = 2 + 5b

Now inserting the value of b from above equation

We get

c = 2 + 5 (a - 3)/ 10

c = 2 + ( a - 3 )/2

2c = 4 + a - 3

a = 2c - 1

You might be interested in
Penelope is now 3 times the age of jaslin. If jaslin will be 12 in 3 years, how many years ago was Penelope 13 years ago?
shusha [124]

Answer:

Penelope is 14 years old.

Step-by-step explanation:

- Jaslin is 9 years old (since she'll be 12 in 3 years)

- So, you multiply 9 by 3 (since Penelope is 3 times Jaslin's age), which gives you 27.

- Then minus 13 from 27 (since we're solving for how old Penelope was 13 years ago), which gives you 14

Hope this helps!

6 0
2 years ago
Square root of the quantity x minus 2 end quantity plus 8 equals x
Butoxors [25]

ANSWER

x=11

EXPLANATION

We want to solve the equation:

\sqrt{x - 2}  + 8 = x

Add -8 to both sides:

\sqrt{x - 2} = x - 8

Square both sides of the equation to get:

(\sqrt{x - 2} )^{2} =( x - 8)^{2}

x - 2 =  {x}^{2}  - 16x + 64

Rewrite in the form ax² +bx+c=0

{x}^{2}  - 16x - x + 64 + 2 = 0

{x}^{2}  - 17x + 66 = 0

Factor to get,

(x - 11)(x - 6) = 0

This implies that,

x = 11 \: or \: x = 6

Checking for extraneous solutions.

When x=6, the original equation becomes,

\sqrt{6- 2}  + 8 = 6

\sqrt{4 }  + 8 = 6

2+8= 6 is not true.

x=6 is an extraneous solution.

When x=11, the original equation becomes,

\sqrt{11- 2}  + 8 = 11

\sqrt{9}  + 8 = 11

3 + 8 = 11

This is true, hence x=11 is the only solution.

5 0
3 years ago
Gary earned an average score of 77 on his first five quizzes. What score will he need on his next quiz to have an overall averag
Lera25 [3.4K]

Answer:

The next score he needs to have an overall average of 79 is 89.

Step-by-step explanation:

Gary earned an average score of 77 on his 5 quizzes . The number of score he needs to have an average of 79 can be calculated below.

average score = 77

number of quizzes = 5

sum of Garry score = a

a/5 = 77

cross multiply

a = 77 × 5

a = 385

let

the next score he needs be  b to score an average of 79

average = 79

number of quizzes = 6

385 + b/6 = 79

cross multiply

385 + b = 474

b = 474 - 385

b = 89

The next score he needs to have an overall average of 79 is 89.

3 0
4 years ago
Use Venn diagrams notation to describe the shading of<br> A<br> B
defon

Answer:

A ∩ B

Step-by-step explanation:

The shaded part is in common between the two diagrams

We can write this part in this way :

A ∩ B

7 0
3 years ago
Read 2 more answers
What are the characteristics of a function and how can we identify them?
Ad libitum [116K]

Answer:

<u>A function is a mathematical relationship where all inputs must have exactly one output. If there is more then one output for one input, then the relationship is not a function.</u>

x is most of the time the input and y the output for an equation:

y = 2x

of course the input and output could be any variable.

Step-by-step explanation:

Have a nice day!

3 0
3 years ago
Read 2 more answers
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