Answer:
O It has the same slope and a different y-intercept.
Step-by-step explanation:
y = mx + b
m = 3/8
b = 12
y = (3/8)x + 12
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Data in the table: slope is the rise (y) over the run (x) between two points (assuming the data represent a linear line).
Change in x and y between two points. I'll choose (-2/3,-3/4) and (1/3,-3/8).
Change in y: (-3/8 - (-3/4)) = (-3/8 - (-6/8)) = 3/8
Change in x: (1/3 - (-2/3)) = (1/3+2/3) = 3/3 = 1
Slope = (Change in y)/(Change in x) = (3/8)/1 = 3/8
The slope of the equation is the same as the data in the table.
Now let's determine if the y-intercept is also the same (12). The equation for the data table is y = (2/3)x + b, and we want to find b. Enter any of the data points for x and y and then solve for b. I'll use (-2/3, -3/4)
y = (3/8)x + b
Use (-2/3, -3/4)
-3/4 =- (3/8)(-2/3) + b
-3/4 = (-6/24) + b
b = -(3/4) + (6/24)
b = -(9/12) + (3/12)
b = -(6/12)
b = -(1/2)
The equation of the line formed by the data table is y = (3/8)x -(1/2)
Therefore, It has the same slope and a different y-intercept.
Rational numbers are closed under addition ,multiplication but not closed under division
Rational number
Closure property
assume two rational numbers say x and y. the results of addition and multiplication operations give a rational number we can say that rational number are closed under addition and multiplication . For example
rational number are not closed under division as 1 and 0 are rational number but 1/0 is not defined but it is closed under addition and multiplication
that is 1+0 = 1 closed under addition
1*0 =0 closed under multiplication
but 1/0 is not defined so it is not closed under division
Hence Rational numbers are closed under addition ,multiplication but not closed under division
learn more of closure property here
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D because if you do a rate problem you do 50 times what equals 100 so times two then you do 32 times two
Answer:
<u>80 buses</u> will be required for 1120 soldiers.
Step-by-step explanation:
Given:
Number of seats on One side = 12 seats.
Now Given:
five seats are reserved for equipment.
So we can say that;
Number of seats used by soldiers = 
Number of soldiers on Each seat =2
So we will now find number of soldiers on each bus.
number of soldiers on each bus is equal to Number of seats used by soldiers multiplied by Number of soldiers on Each seat.
framing in equation form we get;
number of soldiers on each bus = 
Now we know that;
For 14 soldiers = 1 bus
So 1120 soldiers = Number of buses required for 1120 soldiers.
By Using Unitary method we get;
Number of buses required for 1120 soldiers = 
Hence <u>80 buses</u> will be required for 1120 soldiers.
Answer:
$39
Step-by-step explanation:
32.50:100 × 20 = $6.50
32.50+6.50 = $39
