Answer:
B.
Step-by-step explanation:
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56 57 and 58 are the three numbers that work
Answer:
Step-by-step explanation:
+
5
1
6
=
−
1
n+\frac{5}{16}=-1
n+165=−1
Solve
1
Subtract
5
1
6
\frac{5}{16}
165
from both sides of the equation
+
5
1
6
=
−
1
n+\frac{5}{16}=-1
n+165=−1
+
5
1
6
−
5
1
6
=
−
1
−
5
1
6
n+\frac{5}{16}{\color{#c92786}{-\frac{5}{16}}}=-1{\color{#c92786}{-\frac{5}{16}}}
n+165−165=−1−165
2
Simplify
Solution
=
−
2
1
Answer:
Option C.
The distance from the point to the circle is 6 units
Step-by-step explanation:
we know that
The distance between the circle and the point will be the difference of the distance of the point from the center of circle and the radius of the circle
step 1
Find the center and radius of the circle
we have
Convert to radius center form
Complete the square
Rewrite as perfect squares
so
The center is the point (0,4)
The radius is
step 2
Find the distance of the point from the center of circle
the formula to calculate the distance between two points is equal to
we have
(6,-4) and (0,4)
substitute the values
step 3
Find the difference of the distance of the point from the center of circle and the radius of the circle
therefore
The distance from the point to the circle is 6 units
see the attached figure to better understand the problem
Answer:
Number of T-SHIRT sold = x = 110
Number of sweatshirt = y = 40
Step-by-step explanation:
Let
Number of T-SHIRT sold = x
Number of sweatshirt = y
The number of T-shirts sold was 10 fewer than three times the number of sweatshirts sold.
x = 3y - 10
Cost of each T-SHIRT = $11
Cost of sweatshirt = $19
Total cost = $1,970
Total = x + y
1,970 = 11(3y - 10) + 19y
1970 = 33y - 110 + 19y
1970 + 110 = 33y + 19y
2080 = 52y
y = 2,080/52
y = 40
Substitute y = 40 into
x = 3y - 10
x = 3(40) - 10
x = 120 - 10
x = 110
Number of T-SHIRT sold = x = 110
Number of sweatshirt = y = 40