First, we need to understand the speed formula:
The time used = distance ÷ rate
In this case, the time needed would be:
5 1/5 ÷ 2 1/6
= (5×5+1)/5 ÷ (2×6+1)/6
=26/5 ÷ 13/6
When there is division in an equaiton, we can swap the nominator and denominator of the fraction amd change it to multiplication:
=26/5 × 6/13
= (13 x 2)/5 x 6/(13 x 1)
Factorize 26 and 13,we get:
=2/5 x 6/1
= 12/5 ft or 2.4 ft
Therefore the answer is 12/5ft or 2.4ft.
Hope it helps!
Answer: Statement p is false.
Step-by-step explanation:
In both cases, we need to isolate the variables:
p: -3*x + 8*x - 5*x = x
(-3*x - 5*x) + 8*x = x
-8x + 8*x = x
0 = x
This will be true only for one value of x, so this is not always true, which means that the statement is false.
q: (3*x)*(5*y) = 15*x*y
let's solve the left side:
3*x*5*y = 15*x*y
(3*5)*(x*y) = 15*x*y
15*x*y = 15*x*y
This is true for every value of x and y, then this statement is true.
Answer: 112
Step-by-step explanation:
Since we were given m and n, we plug them into the expression and solve.
-2(-6)+4(-5)² [exponent]
-2(-6)+4(25) [multiply]
12+100 [add]
112
Now, we know that the value of the expression is 112.
Answer:
Step-by-step explanation:
More than anything else, Algebra is a procedure. It has rules and axioms which when followed produce answers to problems -- problems that may not yield anything without Algebra.
These axioms and rules are familiar to anyone who has taken a course in advanced Mathematics. So each person who knows the procedure knows also how mathematics can work. It is a universal language spoken by those trained in what it offers to the education of both the "sender" and the "receiver."
Answer: The y- intercept is -2. The x-intercept is 2/3
The attachment shows the solutions.
Step-by-step explanation: The y-intercept is the "b" term in the slope-intercept form of the equation. To find the x-intercept, substitute 0 for the output and solve for x.
0 = 3x -2 . Add 2 to both sides
2 = 3x . Divide both sides by 3
2/3 = x the x-intercept is 2/3
To find f(-5) substitute -5 for x and solve.
f(-5) = 3(-5) -2
f(-5) = -15 -2
f(-5) = -17
