Answers:
A. 1c/2lb
B. 8 cups of dressing
SOLUTION
Given that a catering company’s recipe for Salad uses a
ratio of 2c of dressing to 4 lb of vegetables
A. Write a ratio of dressing to vegetables as a reduced
fraction
A reduced fraction is the expression of a ratio in its simplest
fractional form
Dressing: Vegetable = 2c : 4 lb
In fractional form,
2c/4lb
2 is a common factor to both numerator and denominator
Therefore, in reduced fractional form,
2c/4lb = 1c/2lb
Therefore, ratio of dressing to vegetables as a reduced
fraction is 1c/2lb
B. How many cups of dressing would they need for 16 lb of
vegetables
1c = 2lb
16lb = ?
Since 1c = 2lb
2lb = 1c
1lb = 1/2 c
16lb = 16(1/2)c
16lb = 8c
Therefore, they would need 8 cups of dressing for 16 lb of
vegetables
Answer:
It is B. hyperbola, 45 degrees.
SteIt is p-by-step explanation:
If we rotate the standard form x^2 - y^2 = 1 through 45 degrees we get xy = 1/2.
xy = -2.5 comes from x^2 - y^2 = -5 being rotated 45 degrees.
The triangle cannot be made.
Solution:
Given sides of a triangle are 8 ft, 20 ft and 8 ft.
<u>To determine if the triangle can be made:</u>
Let us first define the triangle inequality theorem.
Triangle inequality theorem:
The sum of the lengths of the any two sides of a triangle is greater than the length of the third side.
Using this theorem, we can determine if the triangle can be made or not.
8 ft + 20 ft = 28 ft > 8 ft
20 ft + 8 ft = 28 ft > 8 ft
8 ft + 8 ft = 16 ft < 20 ft
Here the sum of the two sides is less than 20 ft.
This is not satisfy the triangle inequality theorem.
Therefore, the triangle cannot be made.
Answer:
-2
Step-by-step explanation:
We can find the slope of a line given two points from
m = (y2-y1)/(x2-x1)
= (-2-4)/(1--2)
= (-6)/(1+2)
=-6/3
=-2
