Since there is a $5 delivery charge, Valerie will surely spend those money.
Also, since a salad costs $7, and Valerie buys 3 of them, she will spend 21 more dollars.
So, salads and delivery charge sum up to 
This means that Valerie has
dollars left. A drink costs $3, so she can buy
drinks.
Again, a spreadsheet or suitable calculator makes this short work.
The sum is 184.
_____
The terms being summed are ...
2·3² +3 = 2·9 +3 = 18 +3 = 21
2·4² +3 = 35
2·5² +3 = 53
2·6² +3 = 75
Their total is
21 +35 +53 +75 = 184
Answer:
the number is 24
Step-by-step explanation:
10 less than two thirds the number is one fourth the number
Let the unknown number be x
two third of the number is 
10 less than two third the number becomes

one fourth the number becomes 
10 less than two thirds the number is one fourth the number

We need to solve for x
LCD is 3*4 = 12
Multiply the whole equation by 12

8x - 120 = 3x
add 120 on both sides
8x = 3x + 120
Subtract 3x on both sides
5x = 120
divide by 5 on both sides
x= 24
The formula is
a^3 - b^2 = (a - b)(a^2 + ab + b^2) so plugging in the given values:-
a = cube root of 125 = 5 and b = cube root of 27 = 3 , we get:-
125 - 27 = (5 - 3)(5^2 + 5*3 + 3^2)
= 2 * 49
= 98 answer
According to the definition, is a parabola is in the standard form of (x-h)^2<span>=4p(y-k), then the directrix is y=k-p. In this case, the parabola function is x^2=8y, so h=0, p=8/4=2, k=0. Plug the values of h, p, k, into y=k-p, the directrix is y=-2.</span>