Answer:
solution is x=3
Step-by-step explanation:

apply log property
log a- log b= log a/b

we have log on both sides
so we remove the log and make the arguments equal

solve for x, multiply whole equation by 3

now plug in 3 for x and check

solution is x=3
The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.
The composite solid's surface area is 225.4 square inches.
Step-by-step explanation:
Step 1:
The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.
The surface area of the composite shape is given by summing the individual surface areas.
The composite shape's surface area = The cube's surface area + the cylinder's surface area.
Step 2:
Any cube's surface area is calculated by multiplying 6 with the square of the side length (
).
The cube's surface area =
=
=
square inches.
Step 3:
Any cylinder's surface area is calculated with the following formula;
The cylinder's surface area =
=
=
square inches
Step 4:
The composite shape's surface area = The cube's surface area + the cylinder's surface area.
The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.
Since 17 isnt a factor of 42 the only factor is 1
Answer:
--- (a)
---- (b)
Step-by-step explanation:
Given
Per ride (r) = $8
Per baseballs (s) = $6
Total = $100
Required
Represent using an equation
If 1 ride is $8.
r rides would be 8r
If 1 baseball is $6
s baseballs would be 6r.
So, total is:

Solving (b):
Value of s when r = 14

Substitute 14 for r


Solve for 6s


Solve for s


Step-by-step explanation:
As we have to use the number 0-6 once to make 2 equivalent ratios.
so lets solve the problem.
Determining first equivalent ratio
as
and
so
Therefore, first equivalent ratio

Determining second equivalent ratio

as

and

Therefore, second equivalent ratio
