Answer:
Step-by-step explanation:
1 mile contains 5280 feet
x mile contains 792 feet Cross Multiply
5280 x = 792 Divide by 5280
x = 792 / 5280
x = 0.15 miles
1 hour = 3600 seconds
Distance travelled in 12 sec = 0.15 miles
3600 sec = x Cross Multiply
12x = 3600 * 0.15 Combine
12x = 540 Divide both sides by 12
12x/12 = 540/12
x = 45 miles / hour
Answer:
-5x+10x+3=5x+6 Is No solution
<em>Answer:</em>
<em>The value of the number should be 1 (or less I think)</em>
<em>Step-by-step explanation:</em>
<em>At most means the highest value of the sum should be 27.</em>
<em>10x + 17 = 27</em>
<em>10x = 27 - 17</em>
<em>10x = 10</em>
<em>x = 10/10</em>
<em>x = 1</em>
<em>∴</em><em>The value of the number should be 1</em>
We need to subtract: the scientist needed 57,500 dollars, but already had 32,506, so we need to find what's left: 57,500 - 32,506 = 24,992 dollars
Your answer is A. Hope that helps! :)
Answer:
X 1 = -4,X 2 =12
EXPLANATION:
Determine the defined range
X+6/x=6/x-8,x#0,x#8
Simplify the equation using cross-multiplication
(X+6) x (x-8)=6x
Move variable to the left-hand side and change its sign
(X-6)x(x-8)-6x=0
Multiply the parentheses
X^2-8x+6x-48-6x=0
Since two opposites add up to zero, remove them from the expression
X^2-8x-48=0
Write -8x as a difference
X^2+4x-12x-48=0
Factor out x from the expression
Xx(x+4)-12x-48=0
Factor out -12 from the expression
Xx(x+4)-12(x+4)=0
Factor out from the expression
(x+4)x(x-12)=0
When the product of factors equals 0, at least one factor is 0
x+4=0
x-12=0
Solve the equation for x
X=-4
X-12=0
X=-4,x#0,x#8
Check if the solution is in the defined range
X=-4
x=12
The equation has 2 solutions
X 1 = -4,X 2 =12
Hope this helps
