Answer:
k = 5
Step-by-step explanation:
The standard form of an equation representing proportionality is
y = kx ← k is the constant of proportionality
y = 5x ← is in standard form
with k = 5
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Let the number be (10 x + y)
Then, 10 x + y = 3 * (x + y) (given)
Or, 10 x + y = 3 x + 3 y
Or, 10 x - 3 x = 3 y - y
Or, 7x = 2 y
Or, x = 2 y / 7 ( Eq. 1)
Also, 10 x + y + 45 = 10 y + x ( given)
Or, 10 x - x = 10 y - y - 45
Or, 9 x = 9 y - 45 ( Eq. 2)
Substituting the value of x from (Eq. 1) in (Eq. 2), we have:
9 * 2 y / 7 = 9 y - 45
Or, (9 y ) - (18 y / 7) = 45
Or, 63 y - 18 y = 315
Or, 45 y = 315
Or, y = 7
From (Eq. 1),
x = 2 * 7 / 7 = 2
So, the number is 10 x + y = (10 * 2) + 7 = (20 + 7) = 27
Answer
Check:
Sum of the digits = 2 + 7 = 9
9 * 3 = 27 ✓
Adding 45 to the number 27, we get 72. So, the digits get reversed.
Answer:
Liam has 3 whole pizza along with 1/3 of a pizza.
In decimal, Liam has 3.33 of Pizza.
Step-by-step explanation:
Given
Quantity of pizza with Martin = 5/6 of a pizza
Pizza with Liam = 4*Quantity of pizza with Martin
Pizza with Liam = 4*5/6 of a pizza
Pizza with Liam = 10/3 of a pizza = 3 1/3 of pizza.
Thus, Liam has 3 whole pizza along with 1/3 of a pizza.
In decimal Liam has 3.33 of Pizza.
I'm assuming there is probably a graph that goes with this problem so here is all the info I can give you with the four choices:
If it is -1/3, the line will go DOWN 1, over 3 (just count on the graph)
If it is 3, the line will go UP 3, over 1
If it is 1/3, the line will go UP 1, over 3
And if it it -3, it will go DOWN 3, over 1
(If the slope is 3 or -3, it would be quite steep compared to a slope of 1/3 or -1/3)
Hope that helps!
Answer:
A rational number is a number that can be expressed as a fraction (ratio). This includes whole numbers, square roots that can be solved evenly, negatives, decimals, and repeating decimals that can be solved with a fraction.
↔ .5- 5 ↔ 5.0
↔ 2.0- -13 ↔ -13.0
- 0.38462... (
)
An irrational number is a number that is NOT rational. It's the complete opposite!
- π ↔ 3.14159
- .13133133...
↔ 0.86603...- -
↔ -2.23607... - ↔ 2.23607...
Hope this helps!!!
