Answer:
n = -5.792 ≈ - 5.80
Step-by-step explanation:
The question denotes,
1/32 ÷ √3 = 2^n
Solving for n,
- 1/32 * 1/√3 = 2^n
- 0.018042 = 2^n
Taking log on both sides,
- log (0.018042) = log(2^n)
Rewrite it as,
Transposing log(2) to the RHS,
- n = log(0.018042)/log(2)
- n = -5.792 ≈ -5.80
Answer:
I do not agree because Mario's claim is not general.
Step-by-step explanation:
Prime numbers: These are a set of numbers that are divisible by 1 and itself only. Examples are: 2, 3, 5, 7. 11 etc.
And a denominator is the divisor in a given fraction.
Considering the following fractions whose denominators are prime numbers:
= 0.66666666...
= 0.142857142
= 0.45454545...
= 0.23076923
= 0.142857142
It could be observed that Mario's claim is not a general principle which is applicable to all fractions with a prime denominator. Thus, I do not agree with his claim.
Answer:
10
Step-by-step explanation:
25 x 12 = 300$ worth of adult tickets sold
360 - 300 = 60$ worth of child tickets sold
60/6 = 10 tickets
Answer:
a = $13.5
Step-by-step explanation:
Let a = adult tickets
Let c = children tickets
Translating the word problem into an algebraic equation;
<u>For the Martinez family;</u>
2a + 3c = $60
<u>For the Wright family;</u>
3a + 5c = $95.5
Thus, the simultaneous equations are;
..........equation 1
.........equation 2
We would use substitution method to solve;
From equation 2, we make a the subject of formula;
3a = 95.5 - 5c
a = (95.5 - 5c)/3
<em>Substituting the value of "a" into equation 1, we have;</em>
2[(95.5-5c)/3] + 3c = 60
Multiplying all through by 3;
2(95.5 - 5c) + 9c = 180
191 - 10c + 9c = 180
191 - c = 180
c = 191-180
c = $11
To find the value of a;
2a +3c = 60
<em>Substituting the value of "c" into the equation, we have;</em>
a = $13.5
<em>Therefore, the cost of an adult movie ticket is $13.5. </em>
Answer:
x=19
Step-by-step explanation:
subtract 12 from each side: 50-12=2x+12-12
38=2x
divide by 2
38/2=2x/2
19=x