Answer:
12 servings
Step-by-step explanation:
Given:
Evil bunny's carrot soup calls for 5/8 cups of chopped carrots per serving.
If evil bunny has chopped 7 1/2 cups of chopped carrots.
Question asked:
How many servings of carrot soup can he make?
Solution:
<u><em>By unitary method:</em></u>
cups of chopped carrots used for = 1 serving of carrot soup
1 cup of chopped carrots used for =
=
servings
cups of chopped carrots used for = 
Thus, 12 servings of carrot soup could be made.
Answer:
slope = 2
y-int = -3
Step-by-step explanation:
y = 2
x − 3 is the slope-intercept form equation
The <u><em>correct answer</em></u> is:
The equation is 7(c-0.75) = 2.80, and the regular price of a cookie is c = $1.15.
Explanation:
c is the regular price of a cookie. We know that today they are $0.75 less than the normal price; this is given by the expression c-0.75.
We also know if we buy 7 of them, the total is $2.80. This means we multiply our expression, c-0.75, by 7 and set it equal to $2.80:
7(c-0.75) = 2.80
To solve, first use the distributive property:
7*c-7*0.75 = 2.80
7c-5.25 = 2.80
Add 5.25 to each side:
7c-5.25+5.25 = 2.80+5.25
7c = 8.05
Divide each side by 7:
7c/7 = 8.05/7
c = $1.15.
Answer:
a) 
b) 
Step-by-step explanation:
Recall that given a function f(x,y,z) then
. To find f, we will assume it exists and then we will find its form by integration.
First assume that F =
. This implies that
if we integrate with respect to x we get that
for some function g(y,z). If we take the derivative of this equation with respect to y, we get
This must be equal to the second component of F. Then

This implies that
, which means that g depends on z only. So 
Taking the derivative with respect to z and making it equal to the third component of F, we get
which implies that
which means that g(z) = K, where K is a constant. So

b) To evaluate
we can evaluate it by using f. We can calculate the value of f at the initial and final point of C and the subtract them as follows.

Recall that
so
Also
so
So 
Answer:
im not reading all of that
Step-by-step explanation: