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
Answer:
Since C is the mid point,
therefore, (6x - 4)/2 = 4x-3
=> 6x - 4 = 2X(4x-3) = 8x - 6
=> 6x - 8x = -6 + 4
=> -2x = -2
=> x = (-2)/(-2) = 1
Hence, CD = AC = 4x - 3 = 4X1 - 3 = 1
Step-by-step explanation:
Answer: 17, 19, 21
Step-by-step explanation:
Three consecutive odd numbers: x, x+2, x+4 (since odd numbers occur every other number)
Just to show you that the numbers are x, x+2, and x+4, just say x is 13 then x+2 is 15 and x+4 is 17 (3 consecutive odd numbers)
Now the second equation:
3x = 2(x+4) + 9
three times smallest number (which is x) is equal to 2 times the largest number (x+4) plus 9
Now solve
3x = 2(x+4) +9
3x = 2x + 8 + 9
3x = 2x + 17
x = 17
x+2 = 19
x+3 = 21
d. x = 2, DF = 7, EG = 7
DF is equivalent to EG; Therefore, the equation would be like this:
5x - 3 = x + 5
Transfer 3 and x to their opposite side and change their signs.
5x - x = 5 + 3
4x = 8
Find x. Divide both sides by 4.
4x / 4 = 8 / 4
x = 2
Subsitute x in the equation to find the length of each diagonal.
DF = 5x - 3 = 5(2) - 3 = 10 - 3 = 7 ; DF = 7
EG = x + 5 = 2 + 5 = 7 ; EG = 7
1906 x 10^3
this is the answer in standard form/ scientific notation
