Answer:
Maria made 248 cookies, Denise made 62 cookies, Joseph made 372 cookies.
Step-by-step explanation:
Number of cookies made by Maria is m,
made by Denise is d,
made by Joseph is j
We can write the following equations from the word:
m = 4d
j = 6d
m + d + j = 682
We can substitute both 1st and 2nd equation in 3rd and solve for d:
m + d + j = 682
4d + d + 6d = 682
11d = 682
d = 62
Thus,
m = 4(62) = 248
and
j = 6(62) = 372
Maria made 248 cookies, Denise made 62 cookies, Joseph made 372 cookies.
Answer:
C. 179 ft²
Step-by-step explanation:
Area of circular path or walkway
= π × (R + r) × width
Where
R= Outer radius
r = Inner Radius
Diameter = 16 feet
Width = 3 feet
Inner Radius = Diameter/2
= 16 feet/2 = 8 feet
Outer Radius = 8 + 3 = 11 ft
Hence:
= π × (11 + 8) × 3
= π × 19 × 3
= 179.07078125 ft²
Approximately = 179 ft²
The area of the circular walkway = 179ft²
Option C is correct.
Answer:
AH = 1 or 4
CH = 4 or 1
Step-by-step explanation:
An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...
AH/BH = BH/CH
AH·CH = BH²
The problem statement tells us AH + CH = AC = 5, so we can write
AH·(5 -AH) = BH²
AH·(5 -AH) = 2² = 4
This gives us the quadratic ...
AH² -5AH +4 = 0 . . . . in standard form
(AH -4)(AH -1) = 0 . . . . factored
This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.
Answer:
Each week 26,849,315 Gallons of ice cream is produced each week
Step-by-step explanation:
To find this we see how much is made in a year which is 1.4 billion gallons in the U.S.
To see how much is in a day we divide 1.4 billion by 365. Which is 3835616 Then we multiply it by 7 because there is 7 days in a week and the answer is 26849315
