Answer:
Number of smaller ropes she can make from the larger rope = 2/3
Step-by-step explanation:
Total length of rope = 2/5 ft
Length of smaller rope = 3/5 ft
How many smaller ropes can she make from the larger rope?
Number of smaller ropes she can make from the larger rope = Total length of rope / Length of smaller rope
= 2/5 ÷ 3/5
= 2/5 × 5/3
= (2*5)/(5*3)
= 10/15
= 2/3
Number of smaller ropes she can make from the larger rope = 2/3
Answer:
k = 5,
y = 5x
Step-by-step explanation:
If y is proportional to x,
y ∝ x
Then the equation will be
y = kx
Her k = proportionality constant.
Now we choose a point from the given table.
Let the point is (2, 10).
By putting the values of x and y in the equation,
10 = 2×k
k = 
k = 5
This will be true for any point we choose from the table.
And the equation will be y = 5x
Well you will need two number that are divisible by 30 and add up to -7 so they will have to be a negative.
I would try -2 and -5 which are both divisible by 30 and ad up to -7 so...
-2/30 + -5/30 = -7/30
Answer:
A. Discriminant = 116
B. Number of solutions for the quadratic equation = 2
C. Type of solutions (circle one):Imaginary
D. Type of solutions (circle one):irrational
Step-by-step explanation:
The given quadratic equation is

We rewrite in standard form to get;

The discriminant is

where a=1, b=8, c=-13
We substitute to get:



Since the discriminant is great than zero, we have two distinct real roots
The original price is $68. You can get this by doing 51 divided by 75 which gives you .68 then multiplying by 100 which is $68.