Answer: 34
Explanation: 204 divided by 6
Answer:
A. 6
B. 143
C. The words "less than", "equal to", and "no more than"
Step-by-step explanation:
For a, we would want to first make an equation to represent the problem. It appears you've already figured that out though, so lets solve it!
Subtract 56 on both sides.
-6m=-36
Now divide -36 by -6 to isolate m.
m=6
It will take her 6 minutes.
For B, we need to make another equation.
2.95b<450-28
First, we can subtract 28 from the total, because she has already spent $28.
Now our equation is 2.95b<422
Lastly, just divide both sides by 2.95 to isolate b.
Our solution is 143. So she can buy 143 batteries.
Lastly, for 13, we can say that the words "less than", "equal to" and "no more than" can indicate an inequality in a real word problem.
Hope this helps!
Answer:
x = 1
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = 5 when x = 3
k = yx = 5 × 3 = 15, thus
y = 
← equation of variation
When y = 15 then
15 = ( multiply both sides by x )
15x = 15 ( divide both sides by 15 )
x = 1
It depends on what variable you are tying to solve for first. Say you are trying to solve for x first and then y on the first problem you wrote.
In substitution you solve one of the equations for example with
6x+2y=-10
2x+2y=-10
you solve 2x+2y=-10 for x
2x+2y=-10
-2y = -2y (what you do to one side of the = you do to the other)
2x=-10-2y (to get the variable by its self you divide the # and the variable)
/2=/2 (-10/2=-5 and -2y/2= -y or -1y, they are the same either way)
x=-5-y
now you put that in your original equation that you didn't solve for:
6(-5-y)+2y=-10 solve for that
-30-6y+2y=-10 combine like terms
-30-4y=-10 get the y alone and to do this you first get the -30 away from it
+30=+30
-4y=20 divide the -4 from each side
/-4=/-4 (20/-4=-5)
y=-5
now the equation you previously solved for x can be solved for y.
x=-5-y
x=-5-(-5) a minus parenthesis negative -(- gives you a positive
-5+5=0
x=0
and now we have solved the problem. x=0 and y=-5
