Answer:
The appropriate ratio to convert 45 cm into feet is 1 foot / 2.54 cm since the centimeters will cancel out.
Step-by-step explanation:
We aim to find the ratio that will allow us to convert from centimeters to feet for 45 cm.
The right ratio here is 1 foot / 2.54 cm, as the cm unit will be eliminated, resulting only in feet.
This works as follows;
1 foot / 2.54 cm * 45 cm.
This simplifies to;
(45 cm * 1 foot) / 2.54 cm.
In this scenario, the first step is to assign variables.
We define:
x: time measured in minutes
y: distance covered.
The equations formulated are as follows:
For Kathleen:

For Arnob:

At the moment Arnob meets Kathleen, we have:

Next, we isolate x.
We now have:


Answer:
Arnob takes a total of 75 minutes to catch up to Kathleen:
d. 75
Answer:
B. (3, 0)
Step-by-step explanation:
The x-intercept signifies the location on the graph where it intersects the x-axis.
At the x-intercept, y=0 or f(x)=0.
Therefore, you need to examine the table for the instance where f(x)=0.
The value f(x)=0 is found at x=3 in the table.
We express this as an ordered pair.
Hence, the x-intercept is (3,0).
The right option is B.
Answer:
B
Step-by-step explanation:
If two quantities have a direct variation, their graph will originate from the point of intersection at the origin.
Among all graphs, only Nikiya's intersects the origin, thus the answer is B.
Answer:
We start with the number 337 060.
Expanded form refers to a way of representing a standard form number in more detail.
This number will be converted to expanded form utilizing exponents.
=> 337 060
To begin, let's break down each component.
=> 300 000 = 3 x 10^5
=> 30 000 = 3 x 10^4
=> 7 000 = 7 x 10^3
=> 60 = 6 x 10^1
=> 3 x 10^5 + 3 x 10^4 + 7 x 10^3 + 6 x 10^1 – this is the expanded form of the number using exponents.
Step-by-step explanation: