Answer:
15 inches
Step-by-step explanation:
We assume that the edge of the small square is x (inches).
As the edge of the larger square is 2 inches greater than that of the smaller one, so that the edge of the larger square = edge of the small square + 2 = x + 2 (inches)
The equation to calculate the are of a square is: <em>Area = Edge^2 </em>
So that:
+) The area of the larger square is: <em>Area large square = </em>
<em> (square inches)</em>
+) The area of the smaller square is: <em>Area small square = </em>
<em>(square inches)</em>
<em />
As difference in area of both squares are 64 square inches, so that we have:
<em>Area large square - Area small square = 64 (square inches)</em>
<em>=> </em>
<em />
<em>=> </em>
<em />
<em>=> 4x + 4 = 64</em>
<em>=> 4x = 64 - 4 = 60 </em>
<em>=> x = 60/4 = 15 (inches)</em>
So the length of an edge of the smaller square is 15 inches
Answer:
59m
Step-by-step explanation:
No of passenger cars in the train = 6
length of each passenger cars = 18m
total length of 6 passenger cars = 18 * 6 = 108 m
length of caboose = 10m
total length of train when caboose is included = 108 m + 10 m = 118m
_____________________________________________
Let the length of truck be X m
given that length of train is twice of length of truck = 2*X
but length of train as found above is 118 m
this implies
2X = 118
X = 118/2 = 59m
Therefore length of truck is 59m
Answer:
The answer is 6ab³c(3ab + 4c)
Step-by-step explanation:
You have to collect the like-term :
18a²b⁴c + 24ab³c²
= 6(3a²b⁴c + 4ab³c²)
= 6a(3ab⁴c + 4b³c²)
= 6ab³(3abc + 4c²)
= 6ab³c(3ab + 4c)
After the discount, Sara received a change of <u>$3.54</u>.
Define discount.
The discount is <u>determined by dividing the purchase price by the item's par value</u>. Discount is the type of original price reduction or a new lower price for a product. In other words, a discount i<u>s a sum of money or a portion of the regular selling price of anything</u>.
Given that a discount is the price reduction of goods or services that store owners give at the advertised price, it can be computed using the formula <u>Discount = List Price - Selling Price.</u>
Solution Explained:
Given,
Price of apples = $11.88, price of berries = $7.58
The discount on the coupon is $3 and she paid with a $20 bill
So, total cost = 11.88 + 7.58 = 19.46
Applying discount on the cost = 19.46 - 3 = 16.46
The total change Sara gets is = 20 - 16.46 = $3.54
Therefore, Sara receives a change of $3.54
To learn more about a discount, use the link given
brainly.com/question/7459025
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