Answer:
$1.80
Step-by-step explanation:
Let the cost of a hot dog = x
The cost of a hot dog roll = y
Eight hot dogs and seven hot dog rolls cost $\$13.60$.
8x + 7x = $13.60..... Equation 1
Seven hot dogs and eight hot dog rolls cost $\$13.40$.
7x + 8x = $13.40...... Equation 2
Combining both Equation
8x + 7x = $13.60..... Equation 1
7x + 8x = $13.40...... Equation 2
Eliminating x
Multiply 1 by 7
Multiply 2 by 8
56x + 49y = 95.2..... Equation 3
56x + 64y = 107.2 ..... Equation 4
Subtracting 4 from 3
-15y = -12
y = -12/-15
y = 0.8
Cost of one hot dog roll = $0.8
Solving for x
8x + 7x = $13.60
8x + 7(0.8) = 13.60
8x + 5.6 = 13.60
8x = 13.60 - 5.60
8x = 8.0
x = 8.0/8
x = 1.
Cost of one hot dog = $1.0
The cost in dollars of a hot dog and a hot dog roll cost combined is
x + y
= $1 + $0.8
= $1.80
Part 1:
3+2+1 = 6 total units
There is only 1 history book.
1/6 total.
Part 2:
6-1 (we've lost the history book) = 5 total units
3 novels. = 3/5
Part 3:
1/6 * 3/5 = 3/30 or 1/10
A. 1690.
You can get this answer by doing 13 to the power of 2 and then multiplying that answer by 10.
Answer:
In the last two sections, we considered very simple inequalities which required one-step to obtain the solution. However, most inequalities require several steps to arrive at the solution. As with solving equations, we must use the order of operations to find the correct solution. In addition remember that when we multiply or divide the inequality by a negative number the direction of the inequality changes.
The general procedure for solving multi-step inequalities is as follows.
Clear parenthesis on both sides of the inequality and collect like terms.
Add or subtract terms so the variable is on one side and the constant is on the other side of the inequality sign.
Multiply and divide by whatever constants are attached to the variable. Remember to change the direction of the inequality if you multiply or divide by a negative number.
Step-by-step explanation:
