Answer:
Number of bags of candy = 2
Number of bags of cookies = 7
Step-by-step explanation:
Let, number of bags of candy = X
So, Number of bags of cookies = X + 5
Cost of candy bag = $8
Cost of cookies bag = $2.5
Total sales = $33.50
So, Total cost of Candy Bags + Total cost of cookies bags = Total sales
= 8X + 2.5 ( X +5) = 33.50
= 8X + 2.5X + 12.5 = 33.50
= 10.5X = 33.50 - 12.5
= 10.5X = 21
X = 2
So, number of bags of candy = 2
Number of bags of cookies = 2 + 5 = 7
Answer:
Eq: (x+a/2)²+(y+1)²=(a²-8)/4
Center: O(-a/2, -1)
Radius: r=0.5×sqrt(a²-8)
Mandatory: a>2×sqrt(2)
Step-by-step explanation:
The circle with center in O(xo,yo) and radius r has the equation:
(x-xo)²+(y-yo)²=r²
We have:
x²+y²+ax+2y+3=0
But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4
And
y²+2y+3=y²+2y+1+2=(y+1)²+2
Replacing, we get:
(x+a/2)²-a²/4+(y+1)²+2=0
(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4
By visual inspection we note that:
- center of circle: O(-a/2, -1)
- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)
Answer:
(1/4) hr/mile
Step-by-step explanation:
4 mph can be rewritten using other units of measurement:
Suppose we convert 'miles' to 'feet:'
Then:
4 miles 5280 ft
---------- * ------------- = 21120 ft/hr
1 hr 1 mile
Note that we could invert 4 mph and obtain
1 hr
-------- or (1/4) hr/mile
4 mi
Answer:
Step-by-step explanation:
Given
Required
Determine the volume
The volume of the drawer is calculated as:
Substitute values for Base Area and Height
Roxy: 42/9 = 4.67
Jordan: 79/18 = 4.39
Rickie: 123/27 = 4.56
Jordan has the lowest number of strokes per hole
Answer
Jordan
