Answer:
Equation: 7x - 23 = 25 + x
Solution: x = 8
Step-by-step explanation:
7x - 23 = 25 + x
1. Subtract 25 from both sides:
7x - 23 - 25 = 25 - 25 + x
7x - 48 = x
2. Subtract 7x from both sides to get x on one side:
7x - 7x - 48 = x - 7x
- 48 = -6x
3. Divide both sides by -6 to get x by itself:
8 = x
8 is the solution
<span>At a corner gas station, the revenue R varies directly with the number g of gallons of gasoline sold. If the revenue is $44.50 when the number of gallons sold is 10, find a linear equation that relates revenue R to the number g of gallons of gasoline. Then find the revenue R when the number of gallons of gasoline sold is 15.5.
Solution:
As the question mentioned the direct relationship between the quantities, hence
10 gallons of gasoline sold = $44.50
15.5 gallons of gasoline sold = $x
by cross multiplication, we get that
10x = 15.5 * 44.50
which implies that
x = 68.975
Thus by $</span>68.975 revenue is obtained by selling 15.5 gallons of gasoline.
4/5x - 4/10 = 2/20...multiply everything by common denominator 20
16x - 8 = 2
16x = 2 + 8
16x = 10
x = 10/16 which reduces to 5/8 <=
<span>Data
set X and data set Y both have the same interquartile range. If the
first quartile of data set X is less than the first quartile of data set
Y, then the third quartile of data set X is greater than the third
quartile of data set Y.
False</span>
To give you an idea about logarithm, it is the opposite of exponents. Exponents are the repeated multiplication of a number. It is represented
by the formula of a^n where a is the number to be repeated and n is the number
of times the number is being multiplies by itself. Also include the sign of the
number, no matter how it is multiplied, it is still important. In this problem,
you have 4 as the repeated number. You can see that it is multiplied by itself
by two times. So you have (-4)^2.