Answer:
a = -3
Step-by-step explanation:
3a - 6a + 2 = 8a + 20 - 5a
Combine Like Terms
-3a + 2 = 3a + 20
-2 -2
-------------------------------------
-3a = 3a + 18
-3a -3a
-------------------------------------
-6a = 18
---- ----
-6 -6
a = -3
The expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
<h3>Properties of a triangle</h3>
From the question, we are to determine the expression that expresses all possible lengths of segment AB
From one of the properties of a triangle,
The <u>third side</u> of any triangle is greater than the difference of the other <u>two sides</u>; and the <u>third side</u> of any triangle is lesser than the sum of the <u>two other sides</u>
Then, we can write that
AB < 27 + 54
and
AB > 54 - 27
Putting the two inequalities together, we get
54 - 27 < AB < 27 + 54
27 < AB < 81
Hence, the expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
Learn more on the Properties of a triangle here: brainly.com/question/1851668
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Step-by-step explanation:
To determine simple interest, we use the formula

where I is the interest, p is the principal or initial amount, r is the interest rate is in the unit of years and t is the time in years
When the times is 3 years , then we plug in 3 for 't' directly

we know that 1 year = 12 months
Suppose, the time is given in months then we divide time 't' by 12
When the times is 4 months , then we plug in 4 for 't' and divide by 12

we know that 1 year = 365 days
Suppose, the time is given in days then we divide time 't' by 365
When the times is 45 days , then we plug in 45 for 't' and divide by 365

Well this is simple all you have to do is subtract 6 dollars from 35 lets do that first
35 - 6 = 29
so she has 29 dollars to spend on each friend and she only has two....
so lets divide 29 and 2
29/2 = 14.5
so she can spend $14.50 on each of her friends:)
merry christmas
3102 base4 = 3x4^3+ 1x4^2 + 2x1 = 3x64 + 1x16 + 2 = 210 base10
The powers of 2 are 2, 4, 8, 16, 32, 64, 128, 256
210 = 128 + 64 + 16 + 2 = 2^7 + 2^6 + 2^4 + 2^1 = 11010010 base2
A faster method is to each digit in base 4 to two digits in base 2
3 base4 = 11 base2
1 base4 = 01 base2
0 base4 = 00 base2
2 base4 = 10 base2
So 3102 base4 = 11010010 base2
If you wanted to convert base 4 to (say) base 5 you would need the first method and convert to base 10 first