Answer:
$68.48
Step-by-step explanation:
You want to find cost such that ...
6.25% × cost = $4.28
Dividing by the coefficient of cost, we get ...
cost = $4.28/0.0625 = $68.48
Answer:
3x+4y=20
Step-by-step explanation:
The slope-intercept equation would be:
y=mx+b
y=-3/4(x)+5
But standard form is
ax+by=c
We can obtain this by moving the -3/4(x) to the left side
Multiply both sides by 4 to get rid of the fraction
3x+4y=20
Answer:
Volume = ⅓n²(n-1) or ⅓(n³ - n²)
Step-by-step explanation:
Given
Solid Shape: Right pyramid
Edge= n units
Height= n - 1 units
Required
Volume of the pyramid
The volume of a right pyramid is
Volume = ⅓Ah
Where A represents the area of the base
h represent the height of the pyramid
Since it has a square base;
The area is calculated as follows
Area, A = edge * edge
A = n * n
A = n²
Recall that
Volume = ⅓Ah
Substitute n² for A and n - 1 for h
The expression becomes
Volume = ⅓ * n² * (n - 1)
Volume = ⅓n²(n-1)
The expression can be solved further by opening the bracket
Volume = ⅓(n³ - n²)
For direct variation y varies directly with x, then we use equation y = kx
Where k is the constant of proportionality
Given: Y equals 2 when X equals 3
We plug in 3 for x and 2 for y and solve for k
y = kx
2 = k(3)
Divide both sides by 3
Now we plug in 2/3 for k
Given x=-0.5 and find out y
y=-0.33
the value of y is -0.33 when x=-0.5
Answer:
Area of the rectangle = 95 cm²
Step-by-step explanation:
Perimeter of the rectangle = Sum of the measures of the sides of the rectangle
From the figure attached,
Perimeter of the rectangle = 2[(3x -1) + (2x + 3)]
39 = 2(5x + 2)
39 = 10x + 4
10x = 39 - 4
10x = 35
x = 3.5
Therefore, measure of the given sides will be,
Length = (3x - 1) cm
3x - 1 = (3×3.5) - 1
= 10.5 - 1
= 9.5 cm
Width = (2x + 3) cm
2x + 3 = (2×3.5) + 3
= 7 + 3
= 10 cm
Area of the rectangle = Length × width
= 9.5 × 10
= 95 cm²
Therefore, area of the rectangle is 95 cm².
