Answer:
<em>150 miles</em>
Step-by-step explanation:
Given the scale on the map using the conversion factor
1 inch = 50 miles
We are to find the equivalent miles between the cities in miles if the distace is 3inches
3inches = x
Divide both expressions
1/3 = 50/x
Cross multiply
x = 3 * 50
x = 150
<em>Hence the actual distance between these two cities in miles is 150 miles </em>
Answer:
The answer for the question "What is the constant of proportionality?" is 2.
The answer for the question "If Micah saves $150, How much money will his parents give him?" is $300.
Step-by-step explanation:
a. If for every $5, Micah will receive $10 more that means that he will receive the double of his initial saving. So, a number that multiplied by 5 is equal to 10 is 2. Therefore, the proportionality equation will be Y=2X, where Y is 10 and X is 5. In cunclusion, 2 is the constant of proportionality.
b. Having in mind that the equation is Y=2X, and that X is equal to Micah's savings, we need to replace that X with 150. Then, 150 is multiplied by 2 and the result is Y, in this case 300. So, Micah's parents will give him $300 if he saves $150.
P' = (-1, 8) (the x coordinate stays the same and the y coordinate = (distance between -4 and 2) + 2 = 6+2 = 8).
using the same process:-
Q' = (4, 8)
R' = (8, 5)
S' = (3, 5)
First let's convert the decimal numbers to mixed numbers:
Now, adding all the numbers, we have:
So the correct option is B.
Answer:
4n-1
Step-by-step explanation:
Diffrence bweetween each number, 3 and -1, -1 and -5, -5 and -9 is 4
4n
find the closest numbers
4*1=4
4*0=0
4*-1=-4
4*-2=-8
now we figure out how to make these numbers into our terms of this sequence
4n-1
4*1-1=3
4*0-1=-1
4*-1-1=-3
4*-2-1=-9
so the nth term is 4n-1
