D.
204 is how much she had at the end of the month so you want to take away both deposits to find out how much she had at the beginning of the month.
Since Irina can paint 1 room in 9 hours, that means she paints 1/9 of the room in 1 hour. Her portion of the equation would be 1/9x, with x being the number of hours she works and 1/9 of a room per hour being her speed.
Since Paulo can paint 1 room in 8 hours, that means he paints 1/8 of the room in 1 hour. His portion of the equation would be 1/8x, with x being the number of hours he works and 1/8 of a room per hour being his speed.
The equation would then be 1/9x + 1/8x = 1 (Irina's portion of the room, plus Paulo's portion of the room, equal to one whole room).
Find a common denominator. 72 is the first number that both 9 and 8 divide evenly into. Since 9*8 = 72, we multiply the top of 1/9 by 8 to convert the fraction and get 8/72x. Since 8*9 = 72, we multiply the top of 1/8 by 9 to convert the fractio and get 9/72x. We now have 8/72x+9/72x=1
17/72x=1
Divide both sides by 17/72:
17/72x ÷ 17/72 = 1÷17/72
x=1/1 ÷ 17/72
x=1/1 * 72/17
x=72/17=4.24
Together it should take them 4.24 hours.
Answer:
-6 = m (i'll show my work below)
Step-by-step explanation:
-6(m-7) + 7 = -8m + 37
-6m + 42 + 7 = -8m + 37
-6m + 49 = -8m +37
-37 = -37
-6m + 12 = -8m
+6m = +6m
12 = -2m
/-2 = /-2
-6 = m
Answer:
The correct answer is option d. 576 ft^2
Step-by-step explanation:
From the figure we can see that a prism
<u>To find the surface area</u>
Surface area = Base area + area of 2 triangles + Two side area
Base area = length * breadth = 15 * 12 = 180 ft^2
Area of triangle = bh/2 = (12 * 8)/2 = 48 ft^2
Area of two triangle = 48 * 2 = 96 ft^2
Area of one side = 15 * 10 = 150 ft^2
Area of two side = 2 * 150 = 300 ft^2
Surface area = 180 + 96 + 300 = 576 ft^2
The correct answer is option d. 576 ft^2
