First, find the nth term
To do this, find the term to term difference...
A
-7 and 3 = 10
3 and 13 = 10
13 and 23 = 10
As the difference is 10, we now write out the 10 times table
10, 20, 30, 40
The next step is to work out how to get from the sequence to the 10x table
B
-7 - 10 = -17
3 - 20 = -17
13 - 30 = -17
23 - 40 = -17
Now use the answer from each section in the general formula
x = An + B
This could also be written as ?n + ?
Using our numbers, this becomes 10n - 17
Now use the formula to work out the 110th term
(10 x 110) - 17
1100 - 17 = 1083
Both the pies at first have 360* as their initial complete angles.
The Cherry Pie is cut into 6 parts equal and the angular width of each piece will be 360/6=60*...therefore, each piece is 60*.
the Apple Pie is cut into 8 parts and the angle of each piece would be 360/8=45*...therefore, each piece is 45*.
Now the angular difference between the pieces of the 2 pies is 60*-45* = 15*.
Therefore the Cherry pie's piece is 15* greater than the Apple pie's piece.
Answer:
30m per gallon
Step-by-step explanation:
150m/5g= 30m/g
Answer: The width is: " 10 in. " .
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Explanation:
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Consider a "rectangular prism".
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The formula for the Volume of a rectangular prism:
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V = L * w * h ;
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in which:
V = volume = 120 in.³ ;
L = length = 8 in.
w = width = ??
h = height = 1.5 in.
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We want to solve for "w" (width) ;
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Given the formula:
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V = L * w * h ;
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Rewrite the formula; by dividing EACH SIDE of the equation by
"(L * h)" ; to isolate "w" on one side of the equation;
and to solve for "w" ;
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→ V / (L * h) = ( L * w * h) / (L * h) ;
to get:
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→ V / (L * h) = w ;
↔ w = V / (L * h) ;
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Plug in our given values for "V", "L"; and "h"; to solve for "w" ;
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→ w = (120 in.³) / (8 in. * 1.5 in.) ;
→ w = (120 in.³) / (12 in.²) ;
→ w = (120/12) in. = 10 in.
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Answer:
y = 0.5x + 5
Step-by-step explanation:
Use the slope formula to find the slope of a line given the coordinates of two points on the line.
The slope formula is:
m = 
= 
The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.
Now let's fill in the formula with the points,
m = 
Solve,
⇒ Y = 9 – 7 = 2
⇒ X = 8 – 4 = 4
m = = 
Simplify,
⇒ 
Therefore, the Equation of the line is y = 0.5x + 5.
