a punch recipe calls for 2/3 of a pint of fruit juice for each pint of soda .the ratio of the soda to fruit juice in the punch is ____ to____

Answers

Answer 1
Answer:

The ratio shows how many timesone value is contained in another value.

The ratio of the soda to fruitjuice in the punch is 3 to 2.

What is a ratio?

The ratio shows how many timesone value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

A punch recipe calls for 2/3 of a pint of fruit juice for each pint of soda

The ratio of the soda to fruitjuice in the punch.

= 1/(2/3)

This can be written as,

= 3/2

= 3:2

Thus,

The ratio of the soda to fruitjuice in the punch is 3 to 2.

Learn more about ratios here:

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Answer 2
Answer: 1 to 3
If 2/3 pints are fruit juice, then the other 1/3 would be soda, so your answer would be 1/3 or 1:3, also known as 1 to 3 :)

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If P(x)= x2 + x + 3 and Q(x) = 9x2 - 3, find P(8).P(8)=D
(Type an integer or a fraction.)

Answers

Here you go! You actually said p(8) twice so I thought you meant Q(8). Please if the equations are wrong update me with the right equation
p(8) should equal 27

What is 1/2- (2/5) in simplest form?

Answers

Answer:

1/2-2/5

5-4/10

1/10

Step-by-step explanation:

L .C. M

of 5and 2 is 10

and on dividing 10

firstly by 2 we will get 5 and on multiplying it by 1 we get 5

secondly by 5 we will get 2 and on multiplying it by 2 we get 4

Answer:

1/ 10

Step-by-step explanation:

1 /2 -  2 /5         = 1 / 2 ( x 2)   -  2 / 5  ( x 2)    -

= 5 /10 - 4 /10

=  1 /10

What is the greatest common factor of 9 21 60?

Answers

The greatest common factor (GCF) of 9, 21 and 60 is: 3

Factors of 9: 1, 3, 9
Factors of 21: 1, 3, 7
Factors of 60: 1, 2, 3, 4, 5, 6

The common factors between the three numbers are 1 and 3, but since 3 is the highest number, it is considered the GCF.

ben earns $9 per hour and $6 for each delivery he makes. he wants to earn more than $155 in an 8-hour workday. what is the least number of deliveries he must make to reach his goal? how work

Answers

First find out how much he makes in 8 hours (9x8=72). Then subtract 72 from 155 (155-72=83). Then divide 83 by 6 (83/6=13.8333). Since 83 is not evenly divisible by 6, and since he can't deliver .8333 of a delivery, we would round up, giving us 14). Ben would need to make 14 deliveries in 8 hours to make more than $155 :) Hope this helps you :)

The function g(x) = 2^x. The function f(x) = 2^x + k and k < 0. Which of the following statements is true?​

Answers

The graph of f(x) is shifted k units above the graph of g(x). Therefore, the option C is the correct answer.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are g(x) = 2ˣ and f(x) = 2ˣ+k

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Parent Function: g(x)=2x

Horizontal Shift: None

Vertical Shift: None

Reflection about the x-axis: None

Vertical Compression or Stretch: None

So, from graph of g(x) to the graph of f(x), it shifted k units up.

Therefore, the option C is the correct answer.

To learn more about the function visit:

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"Your question is incomplete, probably the complete question/missing part is:"

The function g(x) = 2ˣ. The f(x) = 2ˣ+k and k < 0. Which of the following statements is true?

A) The graph of f(x) is shifted k units to the left of the graph of g(x).

B) The graph of f(x) is shifted k units to the right of the graph of g(x).

C) The graph of f(x) is shifted k units above the graph of g(x).

D) The graph of f(x) is shifted k units below the graph of g(x).

Answer:

Step-by-step explanation:

Please, when you see the words "the following statements," share those possible answer choices.  Thank you.

The function f(x) has the same graph as does g(x) EXCEPT that the graph has been translated down by |k| units.  

If k = -5 then the graph of f(x) is the same as that of g(x) except that it's been translated down 5 units.

The points (-3,4) and (5,-2) are on the graph of function f. If function g is the inverse of function f, what pair of points are on function g?

Answers

9,-5 if this is correct