Answer: 51 in²
Step-by-step explanation: Using the given diagram, we can find the area of the shaded region by taking the area of the larger rectangle minus the area of the area of the small rectangle.
To find the area of the large rectangle, we start with the formula for the area of a rectangle which is shown below.
Area = length · width
Since the length of the large rectangle is 15 in and the width is 5 in, we can plug this information into the formula to get 15 in · 5 in or 75 in.
So the area of the larger rectangle is 75 in.
To find the area of the small rectangle, we also use length · width which is simply 8 in · 3 in or 24 in. So the area of the small rectangle is 24 in.
Finally, remember that the area of the shaded region is the area of the larger rectangle minus the area of the smaller rectangle which in this case will be 75 - 24 or 51
So the area of the shaded region is 51 in².
<h3><u>The system of linear equations that represents the situation is:</u></h3>
a + b = 28
16a + 10b = 400
<h3><u>20 scented candles and 8 unscented candles were sold</u></h3>
<em><u>Solution:</u></em>
Let "a" be the number of scented candles sold
Let "b" be the number of unscented candles sold
From given,
Cost of 1 scented candles = $ 16
Cost of 1 unscented candles = $ 10
<em><u>The shop sells 28 candles today</u></em>
Therefore,
a + b = 28
b = 28 - a ------- eqn 1
<em><u>The shop sells 28 candles today and makes $400</u></em>
Therefore,
number of scented candles sold x Cost of 1 scented candle + number of unscented candles sold x Cost of 1 unscented candles = 400

16a + 10b = 400 ------ eqn 2
<em><u>Substitute eqn 1 in eqn 2</u></em>
16a + 10(28 - a) = 400
16a + 280 - 10a = 400
6a = 400 - 280
6a = 120
a = 20
<em><u>Substitute a = 20 in eqn 1</u></em>
b = 28 - 20
b = 8
Thus 20 scented candles and 8 unscented candles were sold
3/4 * 1/2= 3/8
3 1 3
___*___=____
4 2 8
3/8 cups of flour
Answer:
11 hours and 15 minutes (11.25)
Step-by-step explanation:
make a ratio
160:4.5
240/160=1.5
so 1 and 1/2 intervals of 4.5 hours
4.5+4.5= 9
4.5/2=2.25
9+2.25=11.25