Answer: 6 pounds of French roast coffee and 14 pounds of Sumatran coffee was used.
Step-by-step explanation:
Let x represent the number of pounds of French roast coffee that should be added in the blend.
Let y represent the number of pounds of Sumatran coffee that should be added in the blend.
The total number of pounds of the mixture made is 20 lb. This means that
x + y = 20
The mixture sells for $8.30 a pound. The total cost of the mixture would be
8.3 × 20 = 166
This means that
9x + 8y = 166 - - - - - - - - -1
Substituting x = 20 - y into equation 1, it becomes
9(20 - y) + 8y = 166
180 - 9y + 8y = 166
- 9y + 8y = 166 - 180
- y = - 14
y = 14
x = 20 - y = 20 - 14
x = 6
Answer:
4.45
Step-by-step explanation:
Given:
Height of basketball player is 206 cm.
z-score = 4.45
z-score is a numerical value that tells the number of standard deviations a particular data value is away from the mean. A positive (negative) z-score indicates that the number of standard deviations a particular data value is above (below) the mean.
In this case, it is given that the z-score is 4.45 (positive).
Hence, it could be concluded that the player's height is 4.45 standard deviation(s) above the mean.
The complete question is
"What is the component form of the vector represented by 2a when a =⟨−2,3⟩?"
The Component form of the vector represented by 2a is (-4,6)
<h3>What is the component form of a vector?</h3>
The component form of a vector is represented by (x, y) that has gone x units left to the origin and y units up from the origin.
Given, a=(-2,3)
By using scalar multiplication,
2a = (2(-2), 2(3))
2a = (-4,6).
Therefore the component form of 2a=(-4,6)
For more on vectors visit-
brainly.com/question/16810858
#SPJ1
Answer:
Ellen spent $2.40 on her lunch.
Step-by-step explanation:
Let,
x be the total amount Ellen had.
Amount spent on lunch =
Amount left after lunch =
Amount spent on movie =
Amount she has left = $1.20
Total amount = Lunch amount + Movie amount + Amount left
x =
Amount spent on lunch = = $2.40
Hence,
Ellen spent $2.40 on her lunch.