Answer:
Given: 
, y =6
To prove: x =7
On substituting the value of y =6 in the equation 7y = 8x -14 to solve for x.
or
42 = 8x -14 ......[1]
Addition Property of equality states that you add the same number to both sides of an equation.
Add 14 to both sides in equation [1];
42+14 =8x -14+14
Simplify:
56 = 8x
or
8x =56 ......[2]
Division Property of equality states that you divide the same number to both sides of an equation.
Divide by 8 to both sides of an equation [2];
Simplify:
x =7 Hence proved!
A two Column proof:
Statement Reason
1. 7y = 8x -14 Given
y= 6
2. 7(6) = 8x -14 Substitution property
3. 42+14 = 8x Addition property of equality
4. 56 =8x Simplify
5. x =7 Division Property of equality
Answer:
36%
Step-by-step explanation:
change÷original amount x100
480÷100= 4.8 = 1%
173÷4.8= 36%
Answer: see below
Step-by-step explanation:
The shape is a trapezoid
Base 1 (BH) is 10
Base 2 (QA) is 14
Height is 5
Area
Find distance between QB and HA
Q( -4,4) B (-2,9)
Perimeter
Answer: according to spark notes: There can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 - 4ac), is positive, negative, or zero. This expression has a special name: the discriminant.
In this case it is 0, not 2, which was my first and wrong answer
Answer:
180 miles
Step-by-step explanation:
Step one:
capacity of tank= 18.5gallons
vehicle averages 666 miles per tank.
Hence, the vehicle can travel 666 miles on 18.5 gallons
Required
The distance covered on 5 gallons
Step two:
vehicle can travel 666 miles on 18.5 gallons
the vehicle will go x miles on 5 gallons
cross multiply we have
5*666= 18.5*x
3330=18.5x
divide both sides by 18.5
x= 3330/18.5
x=180 miles
