Ask question

Ask question

All categories

sleet_krkn [62]

2 years ago

11

mr williams is making punch for his class party. the recipe he is using says to mix 3 cups pineapply juice, 7 cups mango juice a

nd 5 cups sprite in order to make 12 servings of punch. If Mr. Williams makes 72 servings of punch, how many cups of punch will have?

1 answer:

maksim [4K]2 years ago

8 0

Divide 12 by 72. this equals 6. then multiply. 7x6=47 3x6=18 and 5x6=30 there we go!

You might be interested in

Find dy/dx by implicit differentiation for ysin(y) = xcos(x)

tatyana61 [14]

Answer:

$\frac{dy}{dx}=\frac{\cos(x)-x\sin(x)}{\sin(y)+y\cos(y)}$

Step-by-step explanation:

So we have:

$y\sin(y)=x\cos(x)$

And we want to find dy/dx.

So, let's take the derivative of both sides with respect to x:

$\frac{d}{dx}[y\sin(y)]=\frac{d}{dx}[x\cos(x)]$

Let's do each side individually.

Left Side:

We have:

$\frac{d}{dx}[y\sin(y)]$

We can use the product rule:

$(uv)'=u'v+uv'$

So, our derivative is:

$=\frac{d}{dx}[y]\sin(y)+y\frac{d}{dx}[\sin(y)]$

We must implicitly differentiate for y. This gives us:

$=\frac{dy}{dx}\sin(y)+y\frac{d}{dx}[\sin(y)]$

For the sin(y), we need to use the chain rule:

$u(v(x))'=u'(v(x))\cdot v'(x)$

Our u(x) is sin(x) and our v(x) is y. So, u'(x) is cos(x) and v'(x) is dy/dx.

So, our derivative is:

$=\frac{dy}{dx}\sin(y)+y(\cos(y)\cdot\frac{dy}{dx}})$

Simplify:

$=\frac{dy}{dx}\sin(y)+y\cos(y)\cdot\frac{dy}{dx}}$

And we are done for the right.

Right Side:

We have:

$\frac{d}{dx}[x\cos(x)]$

This will be significantly easier since it's just x like normal.

Again, let's use the product rule:

$=\frac{d}{dx}[x]\cos(x)+x\frac{d}{dx}[\cos(x)]$

Differentiate:

$=\cos(x)-x\sin(x)$

So, our entire equation is:

$=\frac{dy}{dx}\sin(y)+y\cos(y)\cdot\frac{dy}{dx}}=\cos(x)-x\sin(x)$

To find our derivative, we need to solve for dy/dx. So, let's factor out a dy/dx from the left. This yields:

$\frac{dy}{dx}(\sin(y)+y\cos(y))=\cos(x)-x\sin(x)$

Finally, divide everything by the expression inside the parentheses to obtain our derivative:

$\frac{dy}{dx}=\frac{\cos(x)-x\sin(x)}{\sin(y)+y\cos(y)}$

And we're done!

5 0

2 years ago

Which of the following statements accurately describes the expression x+5/x^2-2

devlian [24]

Answer:

C

Step-by-step explanation:

It’s how you would solve the equation

5 0

2 years ago

Choose the correct simplification of the expression −3x2(5x − 4x2 − 6).

Bess [88]

Answer B.
$- 3 {x}^{2} (5x - 4 {x}^{2} - 6) \\ = - 15 {x}^{3} + 12 {x}^{4} + 18 {x}^{2} \\ = 12 {x}^{4} - 15 {x}^{3} + 18 {x}^{2}$

8 0

2 years ago

Read 2 more answers

Pls help me solve this

NISA [10]

Answer:

$50

Step-by-step explanation:

12 x 30 = 360

960 - 360 = 600

600/12 = 50

3 0

1 year ago

Read 2 more answers

A store buys a 12 lb turkey for $15. They want to make a 35% profit on the sale/price of the turkey.

stiv31 [10]

Answer:

p:20

p:25

Step-by-step explanation:

8 0

2 years ago