Answer:
Length: 116
Width: 21
Step-by-step explanation:
Let's say that the width of carpet is x. If the length of the carpet is 95 inches more than the width, then let's say that the width is x + 95.
Since we are solving for the perimeter, you have to multiply the width and the length(x and x + 95) by two.
So,
2x + 2x + 190 = 274.
Simplify this and you get:
4x= 274 - 190
4x = 84
x= 21
So, the width is 21. This means that the length is 21 + 95.
21 + 95 = 116
Answer:
Total amount Silas and Raja has at first = $252
Step-by-step explanation:
Let,
Amount Silas had = x
Amount Raja had = y
According to given statement;
x = 3y Eqn 1
x-84 = y+42 Eqn 2
Putting value of x from Eqn 1 in Eqn 2
3y - 84 = y+42
3y-y = 42+84
2y = 126
Dividing both sides by 2
Putting y = 63 in Eqn 1
x = 63(3)
x = 189
Total amount they had = 189 + 63 = $252
Hence,
Total amount Silas and Raja has at first = $252
Answer:
488
Step-by-step explanation:
Area of rectangle: 17 x 22 = 374
Area of triangle: 22 - 10 = 12
0.5(12 x 19) = 114
Add them together: 374 + 114 = 488
Answer:
Bag 1: 20
Bag 2: 40
Step-by-step explanation:
Let x be the amount taken out of bag 2
Then the amount left in each bag can be written as:
Bag 1: 50-3x
Bag 2: 50-x
Since we know that half of bag 2 is bag 1, that gives us:
50-3x = 1/2(50-x)
-> 50-3x = 25-x/2
Now lets isolate x and solve:
25 = 5x/2
-> 50 = 5x
-> x = 10
So plug x bag in for the original equations:
Bag 1: 50-3x = 50-3(10) = 20
Bag 2: 50-x = 50-10 = 40
