Answer:
a = 7
Step-by-step explanation:
3(1 - 2a) = -3a - 18
3 - 6a = - 3a - 18
Add 18 to each side:
3 + 18 - 6a = - 3a - 18 + 18
21 - 6a = - 3a
Add 6a to each side:
21 - 6a + 6a = - 3a + 6a
21 = 3a
3a = 21
Divide each side by 3:
3a ÷ 3 = 21 ÷ 3
a = 7
Answer:
75 of additional money
Step-by-step explanation:
5% of 1,500 is 75
and 1,500 plus 75 is 1575
The factorization of the expression 36x⁴y³ - 16x³y is 4x³y(9xy² - 4)
<h3>Factorization</h3>
Factorization or factoring is defined as the breaking or decomposition of an entity (for example a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number. Factorization of an algebraic expression means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.
To the factor, a number means to break it up into numbers that can be multiplied to get the original number.
In the given expression, 36x⁴y³ - 16x³y can be factorized as
36x⁴y³ - 16x³y = 4x³y(9xy² - 4)
The common factor in the expression is 4x³y
Learn more on factorization here;
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Answer:
t=nm+r
Step-by-step explanation:
Since you are trying to find time, represented by t, you set the equation equal to t. Then you need to add n multiplied by miles, m, to the fixed rate, r.
Answer:

Step-by-step explanation:
Given

Required
Probability of two people having dog
First, we have to convert the given parameter to decimal


Let P(Dogs) represent the required probability;
This is calculated as thus;
<em>P(Dogs) = Probability of first person having a dog * Probability of second person having a dog</em>
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<em>Hence, the probability of 2 people having a dog is </em>
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