How can energy be used at night when the Sun is not shining?

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 carr

Oxana [17]

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:

By unitary method:

$\frac{5}{8}$ cups of chopped carrots used for = 1 serving of carrot soup

1 cup of chopped carrots used for = $\frac{1}{\frac{5}{8} }$ = $1\div\frac{5}{8} =1\times\frac{8}{5} =\frac{8}{5}$ servings

$7\frac{1}{2}$ cups of chopped carrots used for = $7\frac{1}{2} \times\frac{8}{5} =\frac{7\times2+1}{2} \times\frac{8}{5} =\frac{15}{2} \times\frac{8}{5}=\frac{120}{10} =12$

Thus, 12 servings of carrot soup could be made.

3 0

2 years ago

Whats the slope and y intercept of 10x + 5y =15

katen-ka-za [31]

Answer:

slope = 2

y-int = -3

Step-by-step explanation:

y = 2 x − 3 is the slope-intercept form equation

3 0

2 years ago

Read 2 more answers

Cookies are on sale! Today each cookie costs \$0.75$0.75dollar sign, 0, point, 75 less than the normal price. Right now if you b

seropon [69]

The correct answer 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.

7 0

3 years ago

Read 2 more answers

Consider F and C below. F(x, y, z) = y2 sin(z) i + 2xy sin(z) j + xy2 cos(z) k C: r(t) = t2 i + sin(t) j + t k, 0 ≤ t ≤ π (a) Fi

Liono4ka [1.6K]

Answer:

a) $f (x,y,z)= xy^2\sin(z)$

b) $\int_C F \cdot dr =0$

Step-by-step explanation:

Recall that given a function f(x,y,z) then $\nabla f = (\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z})$ . To find f, we will assume it exists and then we will find its form by integration.

First assume that F = $\nabla f$ . This implies that

$\frac{\partial f}{\partial x} = y^2\sin(z)$ if we integrate with respect to x we get that

$f(x,y,z) = xy^2\sin(z) + g(y,z)$ for some function g(y,z). If we take the derivative of this equation with respect to y, we get

$\frac{\partial f}{\partial y} = 2xy\sin(z) + \frac{\partial g}{\partial y}$

This must be equal to the second component of F. Then

$2xy\sin(z) + \frac{\partial g}{\partial y}=2xy\sin(z)$

This implies that $\frac{\partial g}{\partial y}=0$ , which means that g depends on z only. So $f(x,y,z) = xy^2\sin(z) + g(z)$

Taking the derivative with respect to z and making it equal to the third component of F, we get

$xy^2\cos(z)+\frac{dg}{dz} = xy^2\cos(z)$

which implies that $\frac{dg}{dz}=0$ which means that g(z) = K, where K is a constant. So

$f (x,y,z)= xy^2\sin(z)$

b) To evaluate $\int_C F \cdot dr$ 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.