Answer:
You would multiply 38.3 time .40 which is the 40%
this would give us
=15.32
Answer:
Rider 1 does one round in 15 min, and will complete another in each consecutive multiple of 15 min
Rider 2 does one round in 18 min, and will complete another in each consecutive multiple of 18 min
Assuming that they start together, they will complete another round together in a time that is both multiples of 15min and 18 min.
Then we need to find the smallest common multiple between 15 and 18.
To smallest common multiple between two numbers, a and b, is equal to:
a*b/(greatest common factor between a and b).
Now, the greatest common factor between 15 and 18 can be found if we write those numbers as a product of prime numbers, such as:
15 = 3*5
18 = 2*3*3
The greatest common factor is 3.
Then the smallest common multiple will be:
(15*18)/3 = 90
This means that after 90 mins, they will meet again at the starting place.
Answer:
y = 3/2x - 5
Step-by-step explanation:
To find the equation of the line
Step 1: find slope
( 2 , -2) ( 4 , 1)
x_1 = 2
y_1 = -2
x_2 = 4
y_2 = 1
Insert the values into
m = (y_2 - y_1) / (x_2 - x_1)
m = ( 1 - (-2) / (4 - 2)
= ( 1 + 2) / ( 4 -2 )
= 3 / 2
m = 3/2
Step 2: substitute m into the equation
y = mx + c
y = 3/2x + c
Step 3: substitute any of the two points into the equation
Let's pick (4 , 1)
x = 4
y = 1
y = 3/2x + c
1 = 3/2(4) + c
1 = 3*4/2 + c
1 = 12/2 + c
1 = 6 + c
1 - 6 = c
c = 1 - 6
c = -5
Step 4 : substitute c into the equation
y = 3/2x + c
y = 3/2x - 5
The equation of the line is
y = 3/2x - 5
Answer:
242.52 cubic inches
Step-by-step explanation:
Volume of the cake pan = Length × Width × Height
From the about question, we have the following dimensions for the cake pan
8 inches wide = Width
11 inches long = Length
7 cm deep = Height
We are asked to find the maximum volume in inches. Hence all the dimensions have to be in inches.
Converting Height in cm to inches
From the question,
2.54 cm = 1 inch
7cm = x inch
Cross Multiply
2.54 × x = 7 × 1
x = 7/2.54
x = 2.7559055118 inches
Volume of the cake pan =
8 × 11 × 2.7559055118
= 242.51968504 cubic inches
Approximately, the volume of the cake pan = 242.52 cubic inches
What is the maximum volume, in cubic
inches, the cake pan can hold is 242.52 cubic inches
