Sally is having a party and she has invited nine of her friends.
She is going to make a special non-alcoholic fruit punch for them all
to drink. Sally wants to make enough fruit punch for herself
and all her friends to have one glass each.
Sallys Fruit Punch Recipe.
The recipe below makes enough
fruit punch for 1 person.

1/2 lime
1/2 lemon
100ml pineapple juice 200ml lemonade 100ml orange juice
1) How much of each ingredient will she need?

Limes
Lemons Pineapple juice Lemonade Orange juice
Cost of ingredients:
Pineapple Juice
Lemons 50 each
Limes 40c each
Lemonade (2 liter bottle) $1.60
Orange juice (1 liter carton) 80c
Pineapoe juice (1 liter carton) 90c

Initial amount , a = $50 .

Increase in price , d = $25 .

We need to find the recursive relation of the sequence .

If we notice it is an arithmetic progression with common difference $25 .

Which means that difference between any two consecutive term is 25 .

So , T(n) - T(n-1) = 25

T(n) = T(n-1) + 25 .

Hence , this is the required solution .

Answer:

1/2

Step-by-step explanation:

(-4--2)/(3-7)=-2/-4=1/2

Answer:

b. 1/2

Step-by-step explanation:

Points: (7, -2), (3, -4)

slope = (y2 - y1)/(x2 - x1)

slope = (-4 - (-2))/(3 - 7) = (-4 + 2)/(-4) = -2/(-4) = 1/2

Answer:

(-7,9)

Step-by-step explanation:

When you flip over the x-axis, the y-value changes its sign. Vice versa.

[tex]\huge\boxed{\boxed{\bold{(-7, 9)}}}[/tex]

[tex]\hrulefill[/tex]

To reflect a point across the [tex]x[/tex]-axis, multiply or divide its [tex]y[/tex] coordinate by [tex]-1[/tex]:

[tex]P'=(-7, -9*-1)[/tex]

Multiply:

[tex]P'=\large\boxed{(-7, 9)}[/tex]

An image is attached showing the original point ([tex]P[/tex]) and its image ([tex]P'[/tex]).

Given:

Question:

2a - 4b

Step by step explanation:

Step 1:

2×2-4×(-3)

Step 2:

4-4(-3)

Step 3:

4+12

Step 4:

16

So 16 is correct answer

hope it helped you :)

Answer

16

Step-by-step explanation:

2×2-4×-3=

4+12=

16

Answer:

C, D

Step-by-step explanation:

Calculate the sum of all.

C and D have less then 345,195.

That is the answer.

The expression that has a sum of less than 345,195 are B, C, and D.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

To calculate the number of sentences that have a sum of less than 345,195. The expression is needed to be simplified as shown below.

A) 189,753 + 155,655 = 345,408

B) 324,675 + 19,285 = 343,960

C) 185,476 + 155,923 = 341,399

D) 97,560 + 246,894 = 344,454

E) 313,489 + 32,450 = 345,939

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ2

Answer:

43.20

Step-by-step explanation:

First find the tip

36 * 20 %

36 * .2

7.20

Then add the tip to the amount of the meal

36+7.20

43.20

You went to have a meal which costs $36, and maybe becoming very delighted with the taste and service of the food centre, you decided to add a tip.

So, First we need to find the tip by multiplying the percentage with the cost of meal

Tip:

[tex]20\% \: of \: 36[/tex]

[tex] \frac{20}{100} \times 36[/tex]

[tex] \frac{1}{5} \times 36[/tex]

[tex]7.2[/tex]

Now, we have got the amount of money we decided to give as a tip. And, we are already having the cost of meal. So, total money paid:

[tex]36 + 7.2[/tex]

[tex] \boxed{ 43.2}[/tex]

This is our required answer.

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

Answer: B. $112 = $16 x

Hope this helps!

Answer:

Step-by-step explanation:

Adding the same number to both sides of equation doesn't change the equality.

¹/₉ + t    =   7

+(-¹/₉)        +(-¹/₉)

   t = 7 + (-¹/₉) = 7 - ¹/₉ = 6⁸/₉

addition property of equality

Answer:

d

Step-by-step explanation:

527 / 17 = 31

[tex]\text {Hey! Let's Solve this Problem!}[/tex]

[tex]\text {We Know That: Multiply a Negative to a Negative will Equal a Positive.}[/tex]

[tex]\text {We Also Know: Multiply a Positive to a Negative will Equal a Negative.}[/tex]

[tex]\text {Multiply:}[/tex]

[tex]\text {-9*-9=81}[/tex]

[tex]\text {Multiply:}[/tex]

[tex]\text {81*-9=}[/tex]

[tex]\text {Your Answer would be:}[/tex]

[tex]\fbox {-729}[/tex]

[tex]\text {Best of Luck!}[/tex]

Answer:

Hourly pay rate x 1.5 x hours worked overtime.

Step-by-step explanation:

For example, if you had an hourly wage of $10, you would first:

Start with the $10 owed. Then:

Multiply your hourly pay by 1.5 to get $15.

Lastly, multiply this number by how many hours you worked overtime. Let's say you work 5 hours overtime. Multiply the $15 by the 5 hours worked overtime, and you should get $75.

An equation to help you solve this could look something like this:

Y*1.5*O=T, where the variable "Y" is hours works, the variable "O" is the hours worked overtime, and the variable "T" is the total amount of money earned for working overtime.

[tex]x^{\frac{1}{\frac{-3}{6} }}[/tex]

First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.

[tex]x^{\frac{6}{-3} }[/tex]

Now that the fraction in the denominator is taken care of, we can reduce the denominator.

[tex]x^{-2}[/tex]. Some professors might accept this as simplest form, but others might ask you to get rid of the negative.

[tex]x^{-2} = \frac{1}{x^{2} }[/tex]

Answer:

*i forgot what a radical is but* your answer is -2

Step-by-step explanation:

there is something called

REDUCE COMPOUND FRACTIONS

basically it's

 [tex]m/f/t[/tex]

so

[tex]1/-3/6\\[/tex]

is gonna be

[tex]1*6/-3[/tex]

which is -2

Hey there! I'm happy to help!

First, let's find the radius. The radius is half of the diameter.

8.4/2=4.2

Here's how to find the area of a circle.

Square the radius.

4.2²=17.64

And multiply by pi (3.14 in our case)

17.64(3.14)=55.3896

We round to the nearest tenth, giving us an area of 55.4 ft²

Have a wonderful day! :D

Answer:

- 2.2× (-2) ÷ (-1/4)×5

- 2.2× (-2) × (-4) ×5

4.4 × (-20)

-88

Step-by-step explanation:

Answer:

Step-by-step explanation:

For fraction division, multiply with the reciprocal of the fraction.

Reciprocal of (-1/4) = -4/1

-22 * (=2) ÷  (-1/4) * 5 = [tex]-22 * (-2) * \frac{-4}{1}*5\\[/tex]

                                   [tex]= -22 * (-2) * (-4) * 5\\\\= - 880[/tex]

Answer:

2x^2 + 23

Step-by-step explanation:

For this problem, we will simply combine like terms after using the distributive property:

7x^2 + 3 - 5(x^2 - 4)

= 7x^2 + 3 - 5x^2 + 20

= 7x^2 - 5x^2 + 3 + 20

= 2x^2 + 23

Cheers.

Answer:

2x^2 + 23

Step-by-step explanation:

The third option

Answer:

34 square feet

Step-by-step explanation:

First, you need to find the other side of the garden in order to find the area a=l*w

The formula to find the length is, p-w*2=x x÷2=l

because, perimeter is l+l+w+w and area is just l*w

4.25*2=8.50

24.50-8.50=16

16÷2=8

l=8

So now we need to multiply the length and width to get the area.

8*4.25=34 sq. ft.

I hope that helps!

Answer: line k is the segment bisector and the distance between RS is 34

Answer:

The string, the height and the ground form a right triangle

The hypotenuse = 300

height =185 = opposite side

sine of the angle = 185 / 300 = 0.6166666667

arc sine (.616666666666) =

38.073 degrees

Step-by-step explanation:

Answer:

  x = 7

Step-by-step explanation:

We can't tell the order of angles here, so we'll assume that ...

  m∠TUV = m∠TUW +m∠WUV

  (9x+1) = (7x-9) +(5x-11)

  9x +1 = 12x -20

  21 = 3x

  7 = x

Answer:

56 underwater breathing potions

Explanation:

Create variables to represent the different potions

-  flying = f   underwater breathing = b   mind reading = m

Make equations to represent all of the information you've been given.

- The number of flying potions is ten more than the number of mind reading potions. f = r + 10

- The number of water breathing potions is two more than three times the number of mind reading potions. b = 3r + 2

- The total number of potions is 102. f+b+r = 102

Substitute the variable in your equation for the total number of potions.

102 = (r +10) + (3r + 2) + r = 102

Combine like terms.

102 = 5r + 12

Solve for r.

90 = 5r

18 = r

You have to find the number of underwater breathing potions, b. Go back the equation for b and substitute 18 for r.

b = 3r + 2

b = 3(18) + 2

b = 56

So, your total number of underwater breathing potions is 56.

Answer:

the unit rate is 1/4 every 4 ounces

Step-by-step explanation:

12/3=4          3/3=1 so 1/4 of a cup every 4 ounces.

Answer:12

Step-by-step explanation:

Answer:

12.1

Step-by-step explanation:

its just how many spaces away from 0 it will never be a negetive #

Answer:

Possible value of k is √2

Step-by-step explanation:

The information given are;

The expression, 2·(√k - 1) + √8 to which may be added -6·√2 to obtain a rational number, we therefore have;

2·(√k - 1) + √8 - 6·√2 = R

Therefore, simplifying gives;

2·√k - 2 + 2·√2  - 6·√2 =  2·√k - 2 - 4·√2 = R

2·√k - 2 - 4·√2 + 2= R + 2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k + 0 - 4·√2 = 2·√k - 4·√2 = 2·(√k - 2·√2) = R

(√k - 2·√2) = R/2 = R

Therefore, √2 is a factor of √k such that √k - 2·√2 = R

Which gives k = x·√2, where x = a rational number

When x = 1, k = √2.

Therefore, a possible value of k is √2