The shaded region's area is x² + 23x + 49.
Step-by-step explanation:
Step 1; To calculate the area of the shaded region, we subtract the area of the square which has side lengths of (x + 1) from the entire rectangle. So we determine the equations that denote the areas of the two shapes.
Step 2; Area of the square = side length × side length (x + 1)×(x + 1) = x² + x + x + 1 = x² + 2x + 1
Area of the bigger rectangle = length × breadth = (x + 10) × (2x + 5) = 2x² + 5x + 20x + 50 = 2x² + 25x + 50.
Step 3; The given shaded region's area = Area of the bigger rectangle - Area of the smaller square = 2x² - x² + 25x - 2x + 50 - 1 = x² + 23x + 49.
So the shaded region's area of x² + 23x + 49.
No, as if you reduce 4/16 it is 1/4, not 3/5, therefore they are not equivalent.
300 - 3x = 24
-24 -24
276 - 3x = 0
+3x +3x
276 = 3x
276/3 = 3x/3
92 = x
x = 92
Answer:
Question 6:
⇒15 × 6 = 90
⇒1 × 8 = 8
⇒90 + 8 = 98 chairs
The total number of chairs required is 98.
Question 8:
Working hours of cinema per month= 120 hours
total hours worked by Leanne in September = 138 hours
per hour pay = £7
over time pay per hour = £9
how much did she get paid in September = ?
⇒138 hours - 120 hours = 18 hours
it means that out of 138 total hours she has worked, she worked overtime for 18 hours.
⇒120 hours × £7 = £840
she got paid £840 for working 120 hours
⇒18 hours × £9 = £162
She got paid £162 for working 18 hours additional
⇒£840 + £162 = £1002
Therefore,
Leanne is paid £1002 for working £138 in September.
hope that helps...
Answer:
3.25 × 10^6
Step-by-step explanation:
7.57×10^6 - 4.32 × 10^6
(7.57 - 4.32) × 10^6
<u>3.25 × 10^6</u>
