Answer:
117 
Step-by-step explanation:
First think of the square that was removed. All 4 sides are equal but you don't know the length so lets gives them the variable X.
So to find the area of the rectangle, insert those variables into the area equation for a rectangle.
(RV + (X) ) (PT +(X)) = rectangle area
Now you are given what the area is if you remove the square. So subtract the the square's area from the equation above and set it equal to the size they told you.
(RV + (X)) (PT + (X)) - [(X)(X)] = 92
rectangle - square = remaining area
Now plug in the numbers you know and solve for X.
(8 + X) (4 + X) - ((X)(X)) = 92
Use FOIL to multiply the first part of the equation (first, outer, inner, last)
32 + 8x + 4x + 
- = 92
32 + 12x = 92
12x = 60
x = 5
So now you know the size of the square. Each side is 5m. So add 5m onto the top of the rectangle and onto the side. The top is 13m and the side is 9m. The area of the rectangle is the length times the height to 13 x 9 which is 117
Answer=18
3x4=12
12x6=72
72x1/4=18
Answer:
120 leaves
Step-by-step explanation:
If the caterpillar eats 75 leaves in 5 hours and continues to eat at the same rate, the number of leaves eaten is simple, 120 leaves.
How I found the answer:
First, I divided 75 by 5 and got 15, then I multiplied 8 to 15 and got 120.
Answer:
The graph in the attached figure
Step-by-step explanation:
Graph the solution of the inequality
we know that
The solution is the interval ---> (-∞,-4]
All real numbers less than or equal to -4
In a number line the solution is the shaded area at left of t=-4 (closed circle, because the number -4 is included in the solution))
using a graphing tool
The graph in the attached figure
Answer:
0.62kg
Step-by-step explanation:
Let
x = 40/kg coffee
y = 11/kg coffee
two equations can be derived from the question
x + y = 12 equation 1
40x + 11y = 114 (9.5 x 12) equation 2
multiply equation 1 by 11
11x + 11y = 132 equation 3
subtract eqn 3 from eqn 2
29x = 18
divide both sides of the equation by 29
x = 0.62kg
