Answer:
x=6
Step-by-step explanation:
When you have 7x+5=5x+17, you try to get the variables on one side and the constants on the other. Subtract 5x from the right and from the left: 2x+5=17. Next, subtract 5 from the left and from the right: 2x=12. The last step is to get rid of the coefficient of x and to do that divide it by the coefficient(in this case divide both sides by 2). After dividing 2x and 12 by 2 you get x=6.
I think the radius you have to
Answer:
<h2>22ft</h2>
Step-by-step explanation:
Step one:
given that the orientation of the garden is a triangular shape(it has three sides)
the perimeter is given as=46ft
one side y=11ft
the second side z= 13ft
let the third side be xft
Step two:
the expression for the perimeter = z+y+x
46=11+13+x
46=24+x
solve for x
x=46-24
x=22ft
Therefore the third side is 22ft long
Answer:
A. (0, -2) and (4, 1)
B. Slope (m) = ¾
C. y - 1 = ¾(x - 4)
D. y = ¾x - 2
E. -¾x + y = -2
Step-by-step explanation:
A. Two points on the line from the graph are: (0, -2) and (4, 1)
B. The slope can be calculated using two points, (0, -2) and (4, 1):
Slope (m) = ¾
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).
Thus:
y - 1 = ¾(x - 4)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y - 1 = ¾(x - 4)
4(y - 1) = 3(x - 4)
4y - 4 = 3x - 12
4y = 3x - 12 + 4
4y = 3x - 8
y = ¾x - 8/4
y = ¾x - 2
E. Convert the equation in (D) to standard form:
y = ¾x - 2
-¾x + y = -2
Answer:
Approximately 809 cubes will be made
Step-by-step explanation:
To calculate the number if cubes to be made, we shall need to calculate the volume of both shapes
The volume of the cubes can be calculated using the formula L^3 = 3 * 3 * 3 = 27 cm^3
For the cylinder, the formula of the volume to use is
V = π * r^2 * h
The radius here is 10.5 cm and the height is 63 cm
V = 22/7 * 10.5^2 * 63 = 21,829.5 cm^3
The number of cubes that can be made is calculated by dividing the volume of the cylinder by that of the cube
That is 21,829.5/27 = 808.5 which is 809 to the nearest whole number
