5(a-1) - 15 = 3(a+2) + 4
Open all parenthesis and distribute
5a - 5 - 15 = 3a + 6 + 4
Simplify
5a - 20 = 3a + 10
Add both sides by 20 and subtract both sides by 3a
2a = 30
a = 15
Based on the given conditional statement, the biconditional statement would be The sum of two angles is 180° if and only if the angles are supplementary.
<h3>What is the biconditional statement?</h3>
A biconditional statement takes a conditional statement and restates it while also stating its converse.
To do so, it will often use the words, "if and only if" to emphasize the condition required.
The biconditional statement here is therefore:
" The sum of two angles is 180° if and only if the angles are supplementary."
Find out more on biconditional statements at brainly.com/question/24528571
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The number can be used to get rid of all fractions is 12
<h3>What number can be used to get rid of all fractions?</h3>
The equation is given as:
6 - 3/4x + 1/3 = 1/2x + 5
The denominator of the fractions are:
4, 3 and 2
The LCM of 4, 3 and 2 is 12
So, we have:
12 * [6 - 3/4x + 1/3] = 12 * [1/2x + 5]
Evaluate the products
72 - 9x + 12 = 6x + 60
Hence, the number can be used to get rid of all fractions is 12
Read more about fractions at:
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Answer:
3,160,080
Step-by-step explanation:
- The first place can be taken by any one of the 22 students.
- The second place can be taken by any one of the remaining 21 students.
- The third place can be taken by any one of the remaining 20 students.
- The fourth place can be taken by any one of the remaining 19 students.
- The fifth place can be taken by any one of the remaining 18 students.
<em>This basically means multiplying 22, 21, 20, 19, and 18. Or, the number of permutation of 22 things taken 5 at a time.</em>
The answer is 22*21*20*19*18 = 3,160,080
<em>Using formula 
</em>
Start by finding the mean of the gas range:
21+24/2= 22.5
Multiply 22.5 by 20
22.5 x 20= 450
Your answer is 450 miles
