Answer:
(i think it is for q6 so) $6
Step-by-step explanation:
4.50÷3=1.50 (that's for 1 pound of fudge)
1.50×4=6
Answer:
We are given a triangle having vertex at point M.
The base of the triangle is MN which is 3 units long.
Now, the height of the triangle is given as 5 units.
So, plotting a line starting at M, which is 5 units long towards the left or right will give us the height of the triangle.
Moreover, as the base is 3 units long.
We will have that the point N is 3 units down or up from the point M.
Using Pythagoras theorem, get that the length of the third side is 5.8 units.
After joining these points and constructing straight lines, we will get the following right angles triangle having base 3 units and height 5 units.
Answer:
The number of the sequence are 2, 3, 6, 15
The difference between 2 and 3 is 1 i.e. 30.
The difference between 3 and 6 is 3 i.e. 31.
The difference between 6 and 15 is 9 i.e. 32.
Let the next number in the given sequence be some natural number x.
Now, following the pattern, the difference between 15 and x has to be equal to 33=27.
i.e.
x−15=27⟹x=27+15=42
Hence
The next number in the sequence is 42.
Answer:
L(min) = 125 ft
Dimensions of the pens
biggest side x /2 = 31.225 ft
shorter side w = 20.82 ft
Step-by-step explanation:
Let call w width of the pen ( the shorter side )
Let call x the biggest side of the two pen.
The configuration we get is that we will use 3 times w + just one side of x
Then total length of fence is
L = 3*w + x (1)
And area of one pen is A = (x/2)* w and that area have to be 650 ft²
650*2 = x*w ⇒ w = 1300/x
So to get L as function of x we plugg this value in equation (1)
L(x) = 3* 1300/x + x
Taking derivatives on both sides of the equation
L´(x) = -3900/x² + 1
L´(x) = 0 ⇒ x² = 3900 ⇒ x = 62.45 ft
and w = 1300/x w = 20.82 ft
And the least amount of fence is
L(min) = 3* 20.82 + 62,45
L(min) = 62.45 + 62.45
L(min) = 125 ft
(5)x19.80=y
(5)x19.80=99
Because the only info given is 19.80 and 5, those are the only definate variables-the total cost is unknown so it is represented by y. To find the total cost, one must multiply the cost of each tickets with how many tickets were bought, represented by (5)x19.80 [the 5 is in parenthesis because it is the independent variable, meaning it changes]. When multiplied together, the equation equals 99, or $99.