Answer:
9 quarters
Step-by-step explanation:
From the question
Jesse has $3.40 in quarters and nickels
Quarters = q = number of quarters
1 quarter = $0.25
nickels = n = number of nickels
1 nickel = $0.05
Hence,
0.25q + 0.05n = $3.40 .......Equation 1
The number of nickels is 5 more than 2 times the number of quarters.
n = 2q + 5
0.25q + 0.05n = $3.40 .......Equation 1
0.25q + 0.05(2q + 5) = 3.40
0.25q + 0.10q + 0.25= 3.40
0.35q = 3.40 - 0.25
0.35q = 3.15
q = 3.15/0.35
q = 9
Therefore, Jessie has 9 quarters.
Step-by-step explanation:
> find the angle of center circle:
cos~¹ 5/(5+12) = cos~¹ 5/17 = 72°
so the sector area of the shaded
region =
(360-72)/360 × 3.14 × 5²
= 288/360 × 78.5
= 62.8
> the height of triangle (red Line) =
4×tan 72° = 4× 3.078 = 12.31
the height of pyramid (green
Line) = √12.31²-8.5² =√74.16
= 8.61
so the volume of pyramid =
⅓×(17×8)×8.61 = 390.32
Answer:
8 for 2.56
Step-by-step explanation:
THE ANSWER IS IN CENTS.
2.56 ÷ 8 = 0.32 per ear
4.23 ÷ 12 = 0.36 per ear
No, Vijay cannot fit all cubes into the box.
Solution:
Total number of cubes = 50
Volume of each cube = 1 cubic inch
Number of cubes fit in the bottom of the box = 12
Area of the box<em> = l</em> × <em>b</em> = 12 square inch
Height of the box = 4 inch
Volume of the box = <em> l</em> × <em>b </em>× h
= 12 × 4
Volume of the box = 48 cubic inch
So, 48 cubes can only fit in the box.
Hence, Vijay cannot fit 50 cubes into the box.
