Answer/Step-by-step explanation:
This is a proportional relationship between amount of strawberries and the amount of bananas needed in making smoothie.
Thus, a constant of proportionality, k, is a ratio that exist between both quantities.
k = y/x = amount of strawberry/amount of bananas.
Since we are given that a recipe of smoothie contains 5 cups of strawberries for every 2 cups of bananas, therefore,
k = ⁵/2 = 2.5.
Any point that will be on the line shown must have the same value of k (y/x).
Thus, given the point (1, 2.5). The ratio between y and x is:
k = 2.5/1 = 2.5.
Since this also shows the same constant of proportionality as 2.5, therefore, the point is also on the line.
<h3><u>The two inequalities are:</u></h3>
<h3><u>Solution:</u></h3>
Let "a" be the number of adult sized t shirts
Let "c" be the number of child sized t shirts
Given that,
Each Adult sized t shirts = $ 5
Each child sized t shirts = $ 2.50
<h3><u>Jerome need at least 200 adults t-shirt</u></h3>
Therefore,
Here, we used "greater than or equal to" symbol, since he needs atleast 200 adult t-shirts
<h3><u>Jerome will spend no more than $1500 on t-shirt</u></h3>
Therefore,
Here we used, "less than or equal to" symbol, since he will not spend more than 1500
Thus the two inequalities are found
Answer:
See explanation
Step-by-step explanation:
Consider two triangles ABF and EDF. These triangles are two right triangles, because angles B and D are right anges.
In these triangles,
- ∠ABF ≅ ∠EDF - as two right angles;
- BF ≅ FE - given;
- ∠AFB ≅ ∠EFD - as vertical angles when two lines AD and BE itersect.
By ASA postulate (or HA postulate) these triangles are congruent, so
ΔABF ≅ ΔEDF
Congruent triangles have congruent corresponding parts, so
FA ≅ EF
This one is D.
The y-intercept has to be below 20 and the slope has to be above 1.
