MATHEMATICS HIGH SCHOOL

Write the scale or unit ratio for the problem: There are 48 ounces of soda and 2 cups of ice cream ina batch of punch. How many ounces of soda are needed if 5 cups of ice cream are used to make
punch?
0 48 ounces/2 cups
O 5 cups/2 cups
O 48 ounces/5 cups

Answers

Answer 1
Answer:

Greetings from Brasil...

Let's apply rule of 3:

  cups             oz

     2     -------   48

     5     -------    X

2 · X = 48 · 5

2X = 48 · 5

X = (48 · 5)/2

48 is the volume of soda, so just multiply that volume by 2/5 to get the new amount of soda...

5cups / 2cups

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the expression 16t^2 models the distance in feet that an object falls during t seconds after being dropped. what distance will an object fall in 4 seconds?

Answers

The distance an object falls in 4 seconds is 256 feet.

Given,

The expression 16t² models the distance in feet that an object falls during t seconds after being dropped.

We need to find out what distance will an object fall in 4 seconds.

What is a function?

A function has an input and an output.

Example:

f(x) = x + 1

x = 1

f(1) = 1 + 1 = 2

Input = 1

Output = 2

Find the expression that describes the distance at t seconds.

= 16t²

Find the distance at t = 4.

We have,

= 16t²

= 16 x 4²

= 16 x 16

= 256

Thus the distance an object fall in 4 seconds is 256 feet.

Learn more about finding distance at 2 seconds from a given expression here:

brainly.com/question/11260574

#SPJ2

1. it fell in 2 seconds so plug the "t" with 2

2. 16*4²  ⇒   4² = 16

3. 16*16 = 256

Complete the following question:Order these numbers in ascending order.

-5.97, 600, 205, 456.98, -45.9

Answers

Answer:

-45.9 , -5.97 , 205 , 456.98 , 600

Please give an accurate answer and show work.

Answers

Answer:

3.06

Step-by-step explanation:

\log_(5)((2)/(3)x-2)+2=0\n\n\log_(5)((2)/(3)x-2)=-2\n\n

This means that 5 to the power of -2 is ((2)/(3)x-2), meaning that:

(2)/(3)x-2=5^(-2)=(1)/(25) \n\n(2)/(3)x=(51)/(25) \n\n2x=(153)/(25) \n\nx=(153)/(50)=3.06

Hope this helps!

Match the reasons with the statement.Given: 12 - x = 20 - 5 x

To Prove: x = 2

1.
Division property of equality

A. 12 - x = 20 - 5 x

2.
Subtraction property of equality

B. 12 + 4 x = 20

3. Addition property of equality

C. 4 x = 8

4. given

D. x=2

Answers

To prove that x = 2 in the equation given, first, we write the given.
               (4) Given:    (A)  12 - x = 20 - 5x
   Then, add 5x to both sides of the equation,
               (3) Addition property of equality:    (B) 12 + 4x = 20
Then, subtract 12 from both sides of the equation
              (2) Subtraction property of equality:  (C) 4x = 8
Lastly, divide both sides by 4
              (1) Division property of equality :    (D) x = 2

Lim -> 0 sin(2x) /(x*cos(x) )

help

Answers

sin (2x) can be written like:sin (2x) = 2sin(x)cos(x)
substituting this expresion in the original one:sin(2x) /(x*cos(x) =2sin(x)cos(x)/x*cos(x)=2sinx/x
taking limits, and noticing that lim as x->0 of sinx/x=1:lim 2sinx/x=2*1=2x->0
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