Finding the midpoint between two points on a line involves three steps:
1. Find the distance between the two points
2. Find half of that distance
3. Either add that half to the lowest point, or subtract it from the highest point.
To find the distance between 52 and -18, we can take the absolute value of their difference. The reason we take the absolute value is to force the sign to be positive, since distances can never be negative. -18 - 52 = -70, and |-70| = 70.
Second, we find half of that distance, which in this case would be 70/2 = 35.
Finally, we add that value to -18 to find a midpoint of -18 + 35 = 17.
Try this:
1) note that weight of pure antifreeze before mixing and after mixing is the same. So, if 'x' is weight of pure antifreeze in 50% solution, it is possible to make up equation before mixing: 0.5x+0.2*90.
2) there are 0.2*90=18 gal. of pure antifreeze in the 20% solution. If 'x' gal. is the weight of pure antifreeze in 50% sol. and 18 gal. is the weight of pure antifreeze in 20% sol., it is possible to make up an equation after mixing: 0.4(x+18).
3) using the both parts: 0.5x+0.2*90=0.4(x+18) ⇒ x=54 gal. of <u>pure</u> weight.
4) to find 50% solution of 54 gal. pure weight just 54:0.5=108 gal.
Answer: 108 gal.
Answer:
More than 35%
Step-by-step explanation:
Answer:
(4, 13/5)
Step-by-step explanation:
Aquí, estamos encontrando el punto que divide el segmento en 1/4
supongamos que tenemos la proporción 1: 4 como a: b
Matemáticamente, el punto que divide el segmento será;
Coordenada x = (bx1 + ax2) / (a + b)
donde (x1, x2) = (3,8)
Al conectar estos valores, tenemos; (4 (3) + 1 (8) / (1+ 4) = (12 + 8) / 5 = 20/5 = 4
Coordenada y = (by1 + ay2) / (a + b) donde (y1, y2) = (1,9)
Conectando estos valores que tenemos; (4 (1) + 1 (9)) / (1 + 4) = (4 + 9) / 5 = 13/5
Por lo tanto, las coordenadas del punto es (4,13 / 5)
9514 1404 393
Answer:
Step-by-step explanation:
Your knowledge of multiplication facts tells you 3×5 = 15. Your knowledge of addition facts tells you 3+2 = 5. So, the dimensions 3 cm and 5 cm are the width and length of the rectangle, respectively.
