Ten times (10 x) the sum (+) of half a number (
) and 6 (6) is 8 (=8)
10(<span>
+ 6) = 8 Use the Distributive Property
</span>
+ 60 = 8 Simplify the fraction
<span> 5n + 60 = 8 Subtract 60 from both sides
5n = -52 Divide both sides by 5
n = -10</span>
The answer is 8. The two negatives cancel each other out.
Answer:
$110.5
Step-by-step explanation:
48 + 25(2.5)
48 + 62.5
=110.2
Answer:
Step-by-step explanation:
1. To find the equation asked, you must add the times:
Where is the time takes Lilly in her path to work and is the time takes Lilly in her path to home.
2. You must use the following formula of speed and solve for the time
Where n is the distance, V is the speed and t is the time.
3. You know that Lilly takes a train each day to work that averages 35 miles per hour, then, you can write the following expression:
4. And her train ride follows the same path at 45 miles per hour:
5. Then, you obtain the following equation:
9514 1404 393
Answer:
Left: area: 702 square feet; perimeter: 114 feet
Right: area: 20 square inches; perimeter: 24 inches
Step-by-step explanation:
<u>Left Figure</u>
The unmarked horizontal edge of the figure is 30 ft -24 ft = 6 ft long. The area of the figure can be figured as the difference between the 27 ft by 30 ft enclosing rectangle, and the 18 ft by 6 ft "notch" taken from the upper right corner of that.
area = (27 ft)(30 ft) -(18 ft)(6 ft) = 810 ft² -108 ft² = 702 ft²
The perimeter is the sum of the side lengths. The sum of vertical side lengths is 2×27 ft; the sum of horizontal side lengths is 2×30 ft, so the perimeter is ...
54 ft +60 ft = 114 ft . . . perimeter
__
<u>Right Figure</u>
The unmarked horizontal segment at the top of the figure is 7 in -3 in -2 in = 2 inches long. This means the area can be divided into two rectangles: the bottom one 2 in by 7 in, and the one sticking up from that 3 in by 2 in. The total area of the figure will be ...
(2 in)(7 in) +(3 in)(2 in) = 14 in² +6 in² = 20 in² . . . area
The perimeter is the sum of the side lengths. The sum of vertical side lengths is 2×(2 in+3 in), and the sum of horizontal side lengths is 2×7 in. Then the perimeter is ...
2×(5 in) +2×(7 in) = 10 in +14 in = 24 in . . . perimeter