Answer:
1. x = 4/5
2. y = 4
3. a = 2
Step-by-step explanation:
first subtract the number without the variable from the answer. then divide the answer by whatever the number with the variable is.
1. 5x + 3 = 7
5x = 4
x = 4/5
2. 5.7 + 0.3y = 6.9
0.3y = 1.2
y = 4
3. 4.2 + 2.5a = 9.2
2.5a = 5
a =2
Answer:
Step-by-step explanation:
Ratios depend on the numbers that are being compared. When you are describing a part of a whole, a fraction is appropriate. When you are comparing two numbers, a ratio is appropriate.
Basically you can write ratio as fraction
Ex-4:2, 4/2
See what I mean?
First is to make equations for both sides.
Let x be the number of the miles.
a be the charge of the first company
b be the charge of the second
a=$35+$0.25(x), b=$40+$0.20(x) .
then a=b
Substitute the equations
$35+$0.25(x)=$40+$0.20(x)
$0.25x - $0.20x = $40 - $35
$0.05x = $5
x= $5/$0.05 , cancel out the unit.
x= 100
To justify substitute x to both the equations a and b.
a= 35 + 0.25(x)
a= 35 + 0.25(100)
a= 35 + 25
a= $60
b= 40 + 0.20(x)
b= 40 + 0.20(100)
b= 40 + 20
b= 60
a=b
60=60.
Answer:
The answer is given below
Step-by-step explanation:
The question is not complete. The correct question is:
A square based pyramid have a height of 30 cm and base of 10 cm. The The square based pyramid is cut horizontally at a height of 15cm to leave this frustum.
Answer:
The frustum would have a base of 10 cm and height of 15 cm. The lower base has a length of 10 cm. to calculate the upper base, we use the formula:
Substituting:
The volume of the frustum is given by the formula:
Where h is the height of the frustum = 15 cm, A1 is the area of the lower base = 10 * 10 = 100 cm², A1 is the area of the upper base = 5 * 5 = 25 cm²
Substituting gives:
Lowest to highest:
1/2 , 2/3 , 0.75 , 2