Answer:
3 3/7
Step-by-step explanation:
2 = 14/7
14/7 + 10/7 = 24/7
24/7 simplified is 3 3/7
Answer:
143 cm²
Step-by-step explanation:
There are 3 pairs of sides to this shape,
1 pair is the top and bottom pieces, each has an area of 4(3) = 12 cm², so there are 24 cm² from this pair.
the second pair is the front and back pieces, each has an area of
4(8.5) = 34 cm², so there are 68 cm² from this pair.
the third pair are the side pieces, each has an area of
3(8.5) = 25.5 cm², so there are 51 cm² from this pair.
Al together there are 24 + 68 + 51 = 143 cm²
Let Natalie be x, and Fred, y.
So based on 1st condition, we get
x + y =43 - Equation 1
â´ x = 43-y - Equation 2
Now based on 2nd condition, we get
44x+y=88
Using x from Equation 2, we get
44(43-y) + y = 88
â´ 44x43 - 44y + y = 88
â´ 1892 -44y + y = 88
â´ -44y + y = 88 - 1892
â´ 43y =1804
â´ y = 1804/43
â´ y = 41.95
Using the value of y in Equation 2
x = 43 - 41.95
â´ x = 1.05
So Natalie is 1.05 yrs and Fred is 41.95 yrs old.
Similarities
Adding or subtracting a number from both sides.
Multiplying or dividing both sides by a positive number.
Applying an increasing function to both sides.
Simplifying one or both sides.
Differences
Multiplying or dividing both sides by a negative number changes the direction of an inequality. So we cannot multiply or divide both sides by a variable unless we know that the variable is either always positive or always negative. This is not a concern when solving equalities.
When applying a decreasing function to both sides of an inequality, the direction of the inequality changes.
Swapping both sides of an inequality also changes the direction of an inequality. Again we don't have to worry about this with equalities.
