Answer:
487=3x-17
487+17=3x-17+17
3x=53
3x/3=53/3
x=168
Step-by-step explanation:
Answer:
78,000
Explanation:
8,000 is in the thousands place, the 4 in the hundreds place is too low to round it up to 9,000, so it gets rounded down to 78,000.
Answer:
Second option is correct. The x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5 is -2.
Step-by-step explanation:
From the given graph it is noticed that the endpoints of the line segment JK are J(-6,-2) and K(8,-9).
The formula to find x intercept.
The ratio is 2:5, therefore the value of m is 2 and the value of n is 5.
Therefore the x-coordinate is -2 and second option is correct.
Answer: She should blend 98 lbs of high-quality beans.
She should blend 72 lbs of cheaper beans
Step-by-step explanation:
Let x represent the number of pounds of high quality beans that she should blend.
Let y represent the number of pounds of cheaper beans that she should blend.
She needs to prepare 170 lbs of blended coffee beans. This means that
x + y = 170
She plans to do this by blending together a high-quality bean costing $4.75 per pound and a cheaper bean at $2.00 per pound. The blend would sell for $3.59 per pound. This means that the total cost of the blend would be 3.59×170 = $610.3. This means that
4.75x + 2y = 610.3 - - - - - - - - - -1
Substituting x = 170 - y into equation 1, it becomes
4.75(170 - y) + 2y = 610.3
807.5 - 4.75y + 2y = 610.3
- 4.75y + 2y = 610.3 - 807.5
- 2.75y = - 197.2
y = - 197.2/-2.75 = 71.9
y = 72 pounds
x = 170 - y = 170 - 71.9
x = 98.1
x = 98 pounds
