By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)
<h3>How to solve an algebraic equation</h3>
In this question we have an equation that can be solved by <em>algebraic</em> definitions and theorems, whose objective consists in clearing the variable x. Now we proceed to solve the equation for x:
- - 10 · x + 1 + 7 · x = 37 Given
- (- 10 · x + 7 · x) + 1 = 37 Associative property
- -3 · x + 1 = 37 Distributive property/Definition of subtraction
- - 3 · x = 36 Compatibility with addition/Definition of subtraction
- x = 12 Compatibility with multiplication/a/(-b) = -a/b/Definition of division/Result
By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)
To learn more on linear equations: brainly.com/question/2263981
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Step-by-step explanation:
12 = 2 × 2 × 3
18 = 2 × 3 × 3
56 = 2 ×2 × 2 × 7
Now
Common factor = 2
Remaining factor = 2 × 3 × 2 × 3 × 7
LCM = RF × CF
= 504
hence the lCM of 12 , 18 and 56 is 504...
1. The lowest common multiple between 15 and 12 is 60.
So, the new denominator of the fraction become 60.
2. Because 15*4= 60 ; 12*5 =60
For sustaining the balance, we should multiply 24 (the first molecule) to 4 times and multiply 12 (the second molecule) to 5 times.
Like, 24*4 and 32*5
3.New denominator :60
New molecules : 24*4 + 32*5 = 256
Thus, 256/60
4.Ruduce of a fraction : 256/60 = 64/15
Answer:
£1,001,258
Step-by-step explanation:
(75x4000)+(62x5350)+(49x7542)=£1,001,258
