Answer:
78 pounds
Step-by-step explanation:
Let's say Yolanda makes a pounds of Type A coffee and b pounds of Type B coffee. Since the total number of pounds is 130, we can write the equation:
a + b = 130
We know the cost of Type A coffee is $5.20/lb and the cost of Type B coffee is $4.05/lb, so since the total cost is $586.30, we can write:
5.20a + 4.05b = 586.30
We can now solve the system of equations:
a + b = 130
5.20a + 4.05b = 586.30
Manipulate the first equation by subtracting b from both sides:
a + b = 130
a = 130 - b
Substitute 130 - b for a in the second equation:
5.20a + 4.05b = 586.30
5.20 * (130 - b) + 4.05b = 586.30
676 - 5.20b + 4.05b = 586.30
Move the terms with b to one side:
1.15b = 89.70
b = 78
Thus, Yolanda used 78 pounds of Type B coffee.
<em>~ an aesthetics lover</em>
Answer:
As per the statement:
Hawick is 15 miles south of Abbotsford, and Kelso is 17 miles east of Abbotsford.
Let H represents Hawick , A represents Abbotsford and K represents Kelso
See the diagram as shown below:
Distance of AH = 15 miles
Distance of AK = 17 miles.
We have to find the distance HK:
Using Pythagoras theorem;
![\text{Hypotenuse side}^2 = \text{Adjacent side}^2 + \text{opposite side}^2](https://tex.z-dn.net/?f=%5Ctext%7BHypotenuse%20side%7D%5E2%20%3D%20%5Ctext%7BAdjacent%20side%7D%5E2%20%2B%20%5Ctext%7Bopposite%20side%7D%5E2)
then;
![\text{HK}^2 = 15^2+17^2 = 225 + 289 = 514](https://tex.z-dn.net/?f=%5Ctext%7BHK%7D%5E2%20%3D%2015%5E2%2B17%5E2%20%3D%20225%20%2B%20289%20%3D%20514)
or
miles.
Therefore, the distance from Hawick to Kelso( to the nearest tenth place) is 22.6 miles
14 because - 11-17=-28. If you divide -28 by -2x you get 14
Answer:
Step-by-step explanation:
Let
p ----> the price of a watermelon in dollars
w ---> the weight of a watermelon in pounds
In this problem we have a proportional relationship
Remember that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem
The value of the constant of proportionality k is the same that the unit rate
Find out the unit rate
Divide the total cost by the total weight
![k=\frac{4.38}{7.3}=\$0.60\ per\ pound](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B4.38%7D%7B7.3%7D%3D%5C%240.60%5C%20per%5C%20pound)
substitute in the equation
Answer:
pls write question correctly so I can answer it