AREA OF A RECTANGLE IS 42 UNITS
Rectangle: Triangle:
A = L * W A = hb / 2
A = (x-8) * 6 A = (7(x-3)) / 2
A = 6x - 48 A = (7x - 21) / 2
Since the problem states that both rectangle and triangle have the same area.Then:
6x - 48 = (7x - 21) / 2
1) Eliminate the denominator 2 by multiplying both sides by 2.
2 * (6x - 48) = 2 * ((7x - 21) / 2)
12 x - 96 = 7x - 21
Find x. Transfer like numbers and change their signs.
12x - 7x = 96 - 21
5x = 75
5x / 5 = 75 / 5
x = 15
Substitute x by its value:
Rectangle: Triangle
A = (x-8) * 6 - A = (7(x-3)) / 2 Areas of both Rectangle
A = (15 -8 ) * 6 A = (7(15-3)) / 2 and Triangle is the same.
A = 7 * 6 A = (7 * 12) / 2
A = 42 units A = 84 / 2
A = 42 units
Answer:
x=16/13
y= -9/13
Step-by-step explanation:
A: -4y=-x+4
B: y+3x=3
4B: 4y+12x=12
A+4B: 12x= -x+16
-----> 13x=16
x=16/13
-4y= -16/13+4
4y=16/13-4
y=4/13-1= -9/13
Answer:
lana
Step-by-step explanation:
she saves 100$ in 2weeks more than 94
<span>Fuel consumed by Car A = 20 gallons
Fuel consumed by Car B = 30 gallons
Total distance = 950 miles
Let, distance covered by Car A = X miles
As the total distance covered is 950 miles,
Distance covered by Car B = 950 - X miles
Efficiency is calculated as total distance travelled divided by total fuel consumed.
Efficiency of Car A = X/20 miles/gallon
Efficiency of Car B = (950 - X)/30 miles/gallon
It is given that sum of efficiencies is 40. So,
(X/20) + (950 - X)/30 = 40
X/20 can be represented as 3X/60 and (950 - X)/30 can be represented as (2*(950-X)/60) to make the denominator same.
(3X/60) + (2*(950-X)/60) = 40
Simplifying, we get
(3X + 1900 - 2X)/60 = 40
Simpifying further, we get
X + 1900 = 2400
X = 2400 - 1900
X = 500
So, distance covered by Car A = 500 miles
Distance covered by Car B = 950 - 500 = 450 miles
To calculate fuel efficiencies,
Efficiency of Car A = 500/20 = 25 miles/gallon
Efficiency of Car B = 450/30 = 15 miles/gallon</span>
