Answer:
Plant A produced 15,000 panels.
Step-by-step explanation:
Let plant B produce x panels
Plant A then produced x - 2000 panels
2% of panels from plant A were defective
3% of panels from plant B were defective
The two plants together produced 810 defective panels so;
2/100(x - 2000) + 3/100(x) = 810
0.02x - 40 + 0.03x = 810
0.05x = 850
x = 17,000 panels
So plant B produced 17,000 panels
Plant A produced 17,000 - 2,000 panels = 15,000 panels.
X = first integer, y = second integer (right after x)
since y is right after x, we can say
y = x+1
If the product of the two integers (x and y) is 42, then
x*y = 42
x*( y ) = 42
x*( x+1 ) = 42 ... y is replaced with x+1
x*x + x*1 = 42
x^2 + x = 42
x^2 + x - 42 = 0
(x + 7)(x - 6) = 0 ... factor
x + 7 = 0 or x - 6 = 0
x = -7 or x = 6
The result must be positive as the problem states it, so we toss out x = -7
The only answer is x = 6
If x = 6, then
y = x+1
y = 6+1
y = 7
The two consecutive numbers are 6 and 7
The final answer is 6
Sure enough, 6*7 = 42 checks out
4 pints of ice cream are used for 6 sundaes
So,
6 sundaes = 4 pints of ice cream
=> 1 sundaes = 4 pints of ice cream/6
=> 1 sundaes = 4/6 pints of ice cream
=> 1 sundaes = 0.66666... pints of ice cream
It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.
Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC
⇒ Angle ABC = Angle ABD + Angle DBC
Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree
Let angle ABD be x
⇒ Angle ABC = 3x-1
Also, Angle ABC = Angle ABD + Angle DBC
Substituting the values in the above equations
⇒ 3x-1 = x+47
⇒ 2x = 48
⇒ x = 24
So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree
Answer:
Step-by-step explanation:
~
