Answer:
x = 4
Step-by-step explanation:
You have to remember the "Quotient Rule" for exponent having same base.
The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.
Here,
base = 3
exponents = 2x + 1 , x + 5
3^(2x + 1) = 3^( x + 5)
3^(2x + 1) / 3^(x + 5) = 1
3^((2x + 1) - (x + 5) )= 1
3^(2x + 1 - x - 5) = 1
3^(2x - x +1 - 5) = 1
3^(x - 4) = 1
log 3^(x - 4) = log(1)
(x - 4) (log (3)) = 0
log(3) = 0 rejected
x - 4 = 0 accepted
x = 0 + 4
x = 4
Answer:
$87.90
Step-by-step explanation:
Let the amount of money Hashim had be $Y. As such, if he gives his mother $28, he would have $Y - $28 left.
If he had $15.20 less than his sister and his sister had $75.10, then we can say that what he had left $Y - $28 is equivalent to the difference between $75.10 and $15.20.
This is
$Y - $28 = $75.10 - $15.20
Y = $28 + $75.10 - $15.20
= $87.90
If you rotate the triangle so that the 6 is on the bottom, the two sides are both 6.2.
Because the two sides are equal the two angles at the bottom would also be equal. One is given as 61 degrees, so the other bottom angle is also 61 degrees.
The three inside angles of a triangle need to equal 180, so X would equal 180 minus the two bottom angles.
X = 180 - 61 - 61 = 58 degrees.
190 / 5 = 38
38 * 31 = 1178
1178 * 4 = 4712
= $47.12