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Leviafan [203]
3 years ago
8

A recipe calls for 3 cups of orange juice for every 4 cups of fruit punch. If a person makes a large batch of this recipe, how m

any cups of fruit punch will be needed if 12 cups of orange juice are used? Create a ratio table to solve.
Mathematics
2 answers:
ladessa [460]3 years ago
4 0
The ratio for the cups of orange juice for every cup of fruit punch is 3:4.

Since now the cups of orange juice ratio has been altered, the cups of fruit punch ratio needs to be equally altered as well.

12/3 = 4

4(4) = 16

Now that they are equally altered, the new ratio would be 12:16
Law Incorporation [45]3 years ago
3 0

the answer to the question is 16

because 3x4 is 12 know that anwser you need to multiply 4x4 which would give you 16

overall it's is 12:16

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Derivative of<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2
Anastaziya [24]

Answer:

\displaystyle  \frac{dy}{dx} =    \frac{2x + 2}{x^3}

Step-by-step explanation:

we would like to figure out the derivative of the following:

\displaystyle  \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }

to do so, let,

\displaystyle y =  \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }

By simplifying we acquire:

\displaystyle y =  3 -  \frac{2}{x}  -  \frac{1}{ {x}^{2} }

use law of exponent which yields:

\displaystyle y =  3 -  2 {x}^{ - 1}  -   { {x}^{  - 2} }

take derivative in both sides:

\displaystyle  \frac{dy}{dx} =  \frac{d}{dx}  (3 -  2 {x}^{ - 1}  -   { {x}^{  - 2} } )

use sum derivation rule which yields:

\rm\displaystyle  \frac{dy}{dx} =  \frac{d}{dx}  3 -   \frac{d}{dx} 2 {x}^{ - 1}  -     \frac{d}{dx} {x}^{  - 2}

By constant derivation we acquire:

\rm\displaystyle  \frac{dy}{dx} =  0 -   \frac{d}{dx} 2 {x}^{ - 1}  -     \frac{d}{dx} {x}^{  - 2}

use exponent rule of derivation which yields:

\rm\displaystyle  \frac{dy}{dx} =  0 -   ( - 2 {x}^{ - 1 -1} ) -     ( - 2 {x}^{  - 2 - 1} )

simplify exponent:

\rm\displaystyle  \frac{dy}{dx} =  0 -   ( - 2 {x}^{ -2} ) -     ( - 2 {x}^{  - 3} )

two negatives make positive so,

\displaystyle  \frac{dy}{dx} =   2 {x}^{ -2} +      2 {x}^{  - 3}

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

\displaystyle  \frac{dy}{dx} =   \frac{2 }{x^2}+       \frac{2}{x^3}

simplify addition:

\displaystyle  \frac{dy}{dx} =    \frac{2x + 2}{x^3}

and we are done!

5 0
3 years ago
Julie is constructing a scale model of her room.The rectangular room is 10 1/4 inches by 8 inches.If 1 inch represents 2 feet of
zlopas [31]
The way to determine this is to know that 1 foot is 12 inches (so 2 is 24) 
Now the ration that would determine the scale factor of the room is 1:24 (1 inch for every 24 inches)
So the scale factor is 1:24
Now to determine the area we multiply the numbers we have by 2 and change the inches to feet (I hope that makes sense to you, it does to me, I'll show you)
10.25 * 2 = 20.5 ft.
8 * 2 = 16 ft.
now we know the dimensions of the room so we need to find the area.
A=B*H
20.5 * 16 = 328
so the area of the room is 328 ft.²
6 0
4 years ago
Read 2 more answers
Helllp im doing my exam !
Tcecarenko [31]

log x ( 5 × 12 ) = 7

x^7 = 60

..................................

7 0
3 years ago
PLEASE PLEASE HELP ME
Galina-37 [17]

Answer:

  • 1. 110°

Step-by-step explanation:

Given angle - 610°

Coterminal angle is an angle in the interval 0°- 360° added or subtracted to multiples of 360°:

  • -610° + 2*360° = -610° + 720° = 110°

Correct option is 1.

7 0
3 years ago
Ben the camel drinks tea (so classy!). He drinks 405 liters of tea every 2 days. How many liters of tea does Ben drink every 6 d
Hoochie [10]
6/2=3
405*3= 1,215
hope this helps
7 0
3 years ago
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