From the given scenario, it can be deduced that Carrie ate 3/5 of what was left of the oranges that were left. To determine the fraction that Carrie ate, we will multiply 3/5 by 1/4. This is equal to 3/20. Thus, Carrie ate approximately 3/20 of the oranges left.
Answer:
A discrete function is a function with distinct and separate values. This means that the values of the functions are not connected with each other (this will be shown as a bunch of points that are not connected together).
Answer:
a rectangle is twice as long as it is wide . if both its dimensions are increased 4 m , its area is increaed by 88 m squared make a sketch and find its original dimensions of the original rectangle
Step-by-step explanation:
Let l = the original length of the original rectangle
Let w = the original width of the original rectangle
From the description of the problem, we can construct the following two equations
l=2*w (Equation #1)
(l+4)*(w+4)=l*w+88 (Equation #2)
Substitute equation #1 into equation #2
(2w+4)*(w+4)=(2w*w)+88
2w^2+4w+8w+16=2w^2+88
collect like terms on the same side of the equation
2w^2+2w^2 +12w+16-88=0
4w^2+12w-72=0
Since 4 is afactor of each term, divide both sides of the equation by 4
w^2+3w-18=0
The quadratic equation can be factored into (w+6)*(w-3)=0
Therefore w=-6 or w=3
w=-6 can be rejected because the length of a rectangle can't be negative so
w=3 and from equation #1 l=2*w=2*3=6
I hope that this helps. The difficult part of the problem probably was to construct equation #1 and to factor the equation after performing all of the arithmetic operations.
Answer:
.
Step-by-step explanation:
3x - y = 17 .......A
10 × [x/5 + y/2] = 10 × 0
2x + 5y = 0 .......B
......A× 5 both 2 sides of equation
15x - 5y = 85 .....C
......B + ........C
2x + 15x = 0 + 85
17x = 85
x = 85/17
x = 5
put x value in ........A or .......B or ......C
you will receive y = -2
Hello:
an equation for the line is : y =mx +b (m: is a slope )
parallel to the liney=2x+2 ( same slope m =2)
the equation is : y =2x+b
through the point (-1,3) : 3 =2(-1)+b....... b=5
the equation is : y = 2x +5