The answer is C.
Perpendicular lines have opposite reciprocal slopes. That means one is negative and the other is positive, and the fractions are flipped.
Answer:
I. 94.99 in²
II. $0.23
Step-by-step explanation:
<u>Given the following data;</u>
Diameter of wheel = 11 inches
Cost of wheel = $21.35
<em><u>Part A</u></em>
To find the area;
We know that a wheel is circular in nature. Thus, the area of a circle is given by the formula;
Substituting into the equation, we have;
<em>Area, A = 94.99 in²</em>
<em><u>Part B</u></em>
To find cost per square inch;
<u>Cost per square inch = $0.23</u>
Answer: C. n = 4r + 50
Step-by-step explanation:
The equation is in the form: y =mx + c
y is the number of flowers used.
x is the row number.
Solving for m. Pick any two points. (1, 54) and (2, 58)
m = (Y₂ - Y₁) / (X₂ - X₁)
= (58 - 54) / (2 - 1)
= 4
Solving for c. Use a point to fill up the formula and find c; (1, 54)
y = mx + c
54 = 4 * 1 + c
c = 54 - 4
c = 50
Formula will therefore be;
y = 4x + 50
or;
n = 4r + 50
Answer:
0.150 < (Proportion of Sandy's pie) < 0.167
15% < (Percentage of Sandy's pie) < 16.7%
Step-by-step explanation:
Total percentage of pie = 100% or 1
George, Sandy, Carlos, and Michelle all ate a piece of the pie.
George ate a fraction of 0.150
Michelle ate a fraction of (1/6) = 0.167
Carlos ate a fraction of (1/7) = 0.143
The amount of pie left = 1 - 0.15 - (1/6) - (1/7) = 0.5405
And Sandy is known to eat more than two of her friends, but less than one of them.
Of the amount of pie eaten by the first 3 friends, (1/6) is the highest proportion.
Hence, it is evident that Sandy ate more than 0.143 and 0.150 (Carlos and George) but less than Michelle (0.167).
So, mathematically, the possible proportion of cake that Sandy ate is
0.150 < (Proportion of Sandy's pie) < 0.167
Hope this Helps!!!
1/4 is the answer is is a lower fraction