Answer:
There are 6 nickels, 10 dimes and 13 quarters.
Step-by-step explanation:
number of nickels = n
number of dimes = n+4
number of quarters = (n+4)+3 = n+7
express total amount in cents $4.55 = 455 cents
express total in cents by multiplying quantities of coins by value and adding them up.
455 = 5*n + 10*(n+4) + 25*(n+7) 455 = 5n + 10n + 40 + 25n + 175 240 = 40n n = 6
so number of nickels = 6.
number of dimes = number of nickels + 4 = 6+4 =10
number of quarters = number of dimes + 3 = 10+3 = 13
There are 6 nickels, 10 dimes and 13 quarters.
Answer:
Her regular weekly pay is $62 and her annual salary is $3100.
Step-by-step explanation:
Given that her hourly wage=$15.50 / hour
As she works 40 hours per week, so her weekly pay = 15.50 x 40 = $62/ week.
If she works 50 weeks each year, so her yearly pay = 62x50=$3100 /year.
Hence, her regular weekly pay is $62 and her annual salary is $3100.
Answer:
Step-by-step explanation:
The slope-intercept form of the equation of a line:
m - slope
b - y-intercept → (0, b)
The point-slope form of the equation of a line:
m - slope
(x₁, y₁) - point
We have the equation of a line:
and the point (0, 2) → b = 2.
Substitute:
Answer:
5 secs
Step-by-step explanation:
The height of the object is given as:
The moment when the object hits the ground, the height of the object will be 0 m.
Hence:
Solving this for t:
Divide through by 16 and move all parameters to the left hand side:
Since time cannot be negative, time, t = 5 secs.
The object will hit the ground after 5 secs.
Answer:
- 24 cm²
- 6400 -1600π ≈ 1373.45 square units
Step-by-step explanation:
1. You can look at this several ways.
It can be considered to be a stack of 1+2+3 = 6 squares that are 2 cm on a side, so have a total area of 6 × (2 cm)² = 24 cm².
You can lop off one of the squares sticking out and put it into the empty corner to form a 6 cm by 4 cm rectangle with an area of (6 cm)(4 cm) = 24 cm².
You can consider it to be a 6 cm square with 3 squares cut out of it that are 2 cm on a side: (6 cm)² -3(2 cm)² = (36 -12) cm² = 24 cm².
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2. The shaded area is the difference in areas of a square 80 units on a side and a circle of 40 units radius. If we let d represent the side dimension of the square, then the area formulas are ...
Square area = d²
Circle area = π(d/2)²
So the difference area is ...
shaded area = d² -(π/4)d² = d²(1 -π/4)
For d=80, the shaded area is ...
shaded area = 80²(1 -π/4) = 6400 -1600π ≈ 1373.45 square units
