Answer:
The equation not represent a proportional relationship because the line don't passes through the origin
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>
so
In this problem we have
This is the equation of the line in slope intercept form
where
the slope is m=5
the y-intercept is b=5
Remember that in a proportional relationship the value of b must be equal to zero (because the line passes through the origin)
therefore
The equation not represent a proportional relationship because the line don't passes through the origin
Answer:
Step-by-step explanation:
Let the age be xy or 10x + y.
Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:
- (10y + x)/3 + 20 = 10x + y
- (10y + x)/3 = 10x + y - 20
- 10y + x = 3(10x + y - 20)
- 10y + x = 30x + 3y - 60
- 30x - x + 3y - 10y = 60
- 29x - 7y = 60
We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.
Possible options for x are:
- 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,
and
- 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.
So x can be 3 or 4.
<h3>If x = 3</h3>
- 29*3 - 7y = 60
- 87 - 7y = 60
- 7y = 27
- y = 27/7, discarded as fraction.
<h3>If x = 4</h3>
- 29*4 - 7y = 60
- 116 - 7y = 60
- 7y = 56
- y = 8
So the age is 48.
Answer:
18 plastic propellers, 18 Bug Antenna, 24 moose antlers,
Step-by-step explanation:
When we multiply our total sum of 60 by certain decimal values by converting the factions to decimals we can get each type of hats count.
1/3 works out to be 0.30
60×0.3 = 18
2/5 works out to be 0.40
60×0.4 = 24
To find out the remaining amount that is plastic propellers you subtract the added hats and the total value.
60 - (18 + 24)
60 - 42
18
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:
your answer would be a whole number, so your answer would be 1,000 i think.
this should be the answer because if you multiply
9*1000 you get 9000
if you multiply
25 * 1000 you get 25000
so on and so on
Step-by-step explanation:
hope this helps :)
