a recipe for fruit punch calls for 1/2 liter of lemonade and 1/10 liter of cranberry juice. What is the unit rate of lemonade to cranberry juice

Answer: 4 is a coefficient, because it's in front of a variable. x is a variable, because it's an unknown value. 12 is a constant, because it's just a value by itself. There are three terms: 4x, -12, and 7x.

Step-by-step explanation:

Y=1/2x+1

The answer is

Answer:

1/225

Step-by-step explanation:

Answer:

35 You need to put 8 as w=4(8)+3 then you times 4 and 8 which equals 32 then you are going to add 32 with 3 to get 35

The value of W is 35 if we put u = 8 in the equation W = 4u + 3.

An equation is a mathematical statement in algebra that consists of an equal symbol between two algebraic expressions with the same value.

Given that W = 4u + 3.

In order to get the desired value, we have to put u = 8 in this equation.

Then W = 4 × 8 + 3 = 32 + 3 = 35

Therefore, the value of W is 35 if we put u = 8 in the equation W = 4u + 3.

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Answer:

.2 lbs

Step-by-step explanation:

4.5/22.5

0.2 pounds as 4.5 / 22.5 = 0.2

Answer:

x^4+x³+7x²-6x+1

Step-by-step explanation:

(x²+2x+8)(x²-x+1)

distribute

x²(x²-x+1)

x^4-x³+x²

2x(x²-x+1)

2x³-2x²+2x

8(x²-x+1)

8x²-8x+1

x^4-x³+x²+2x³-2x²+2x+8x²-8x+1

combine like terms

x^4+x³+7x²-6x+1

Answer:

1) L = 54", W = 6", H = 9"

2) Extra Space = 1389.96 in³

Step-by-step explanation:

1)

LENGTH:

Since, there will be 18 balls along the length of box. Therefore,

Length = L = (18 balls)(Diameter of 1 ball) = (18)(3'')

L = 54"

WIDTH:

Since, there will be 2 rows of cans, and hence, 2 balls along the width of box. Therefore,

Width = W = (2 balls)(Diameter of 1 ball) = (2)(3'')

W = 6"

HEIGHT:

Since, each can can hold 3 balls along the height of box. Therefore,

Height = H = (3 balls)(Diameter of 1 ball) = (3)(3'')

H = 9"

2)

First we calculate the total volume of box:

Total Volume = L*W*H = (54")(6")(9") = 2916 in³

Now, we calculate volume of one ball:

Volume of 1 Ball = (4/3)π(d/2)³ = (4/3)π(3"/2)³ = 14.13 in³

Now, we calculate the total number of balls in box:

No. of Balls = (Balls along length)(Balls along width)(Balls along height)

No. of Balls = (18)(2)(3) = 108 balls

Now, we calculate the total volume of box occupied by balls:

Total Volume occupied by Balls = (No. of balls)(Volume of 1 Ball)

Total Volume occupied by Balls = (108)(14.13 in³)

Total Volume occupied by Balls = 1526.04 in³

Hence, the extra space will be:

Extra Space = Total Volume of Box - Total Volume Occupied by Balls

Extra Space = 2916 in³ - 1526.04 in³

Extra Space = 1389.96 in³

Answer:

1)2 x 10^27 kg

2)3.30 x 10^23 kg

3)Jupiter is 5,751.51 times more massive than Mercury

Step-by-step explanation:

1)Mass of Jupiter is 2 x 10²⁷ kg.

2)Mass of mercury is 3.30 x 10²³ kg.

3)Jupiter is 5,751.51 times more massive than Mercury.

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using mathematical symbols.

1. Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg.

The scientific notation is:- 2 x 10²⁷ kg.

2. Mercury, has a mass of about 330,000,000,000,000,000,000,000 kg.

The scientific notation is:- 3.30 x 10²³ kg.

Divide Jupiter's mass by the mass of mercury.

Jupiter / Mercury =  2 x 10²⁷  / 3.30 x 10²³

Jupiter / Mercury = 5,751.51

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Answer:

Step-by-step explanation:

you could do;

10 x -2 = 20

-2 x (-2) x 10 divided by (-2) + 10 + 10 + 10 +10 =20

4 + 4 - 10 x -2 - 4 - 4 = 20

Answer:

30°

Step-by-step explanation:

Step 1:

2x + 10 + 4x + 80 = 180     Sum of a line

Step 2:

6x + 90 = 180      Combine Like Terms

Step 3:

6x = 90     Subtract 90 on both sides

Answer:

x = 30°       Divide

Hope This Helps :)

Answer:

6 mins

Step-by-step explanation:

1 = 3/3

3/3 / 1/3 = 3/1 = 3

3 x 2 = 6

Answer: A. Cost per egg = $4 .

B. Cost per pound = $ 2.5

C. Cost per roll = $ 0.5

D. Cost per apple = $0.35

Step-by-step explanation:

Formula: cost per item = (total cost) ÷ (number of items)

A. 12 eggs for $3.

Cost per egg = $ (12÷3) = $4

So, Cost per egg = $4 .

B. 3 pounds of peanuts for $7.50

Cost per pound of peanuts = $ (7.50 ÷ 3)= $ 2.5

So, Cost per pound = $ 2.5

C. 4 rolls of toilet paper for $2.

Cost per roll = $ (2 ÷4 ) = $ 0.5

So, Cost per roll = $ 0.5

D.  10 apples for $3.50.

Cost per apple = $ (3.50 ÷ 10)= $ 0.35

So,  Cost per apple = $0.35

Answer:

14

Step-by-step explanation:

Answer:

[tex]y = -\frac{1}{5}x + 5[/tex]

Step-by-step explanation:

Given

[tex]5\ minutes = 4\ miles[/tex]

[tex]15\ minutes = 2\ miles[/tex]

Required

Determine the equation

y represents distance

x represents time

So, the given parameters can be modeled (x,y) as:

[tex](x_1,y_1) = (5,4)[/tex]

[tex](x_2,y_2) = (15,2)[/tex]

First, we need to determine the slope of the function.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{2 - 4}{15 - 5}[/tex]

[tex]m = \frac{-2}{10}[/tex]

[tex]m = -\frac{1}{5}[/tex]

The equation can be determined using:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = -\frac{1}{5}[/tex]

[tex](x_1,y_1) = (5,4)[/tex]

[tex]y - y_1 = m(x - x_1)[/tex]

becomes

[tex]y - 4 = \frac{-1}{5}(x - 5)[/tex]

Open bracket

[tex]y - 4 = -\frac{1}{5}x + 1[/tex]

Solve for y

[tex]y = -\frac{1}{5}x + 1 + 4[/tex]

[tex]y = -\frac{1}{5}x + 5[/tex]

Answer:

The sum of 3 consecutive integers is 13 more than twice the smallest integer. Find the integer.

x + (x+1) + (x+2) = 2x + 13

3x + 3 = 2x + 13:

3x - 2x = 13 - 3

x = 10 is the smallest integer:

Check: 10 + 11 + 12 = 2(10) + 13

The integers will be equal to 10, 11, and 12 respectively.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The sum of 3 consecutive integers is 13 more than twice the smallest integer. The integer will be calculated as below:-

x + (x+1) + (x+2) = 2x + 13

3x + 3 = 2x + 13:

3x - 2x = 13 - 3

x = 10 is the smallest integer:

Check: 10 + 11 + 12 = 2(10) + 13 = 33

Therefore, the integers will be equal to 10, 11, and 12 respectively.

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Answer:

The one that doesn't contain 75

Step-by-step explanation:

uhh don't know

Answer:

pre-existing cells

Step-by-step explanation:

Answer:

D. pre-existing cells

Step-by-step explanation:

According to the cell theory all living cells arise from pre-existing cells by division. The cell is the fundamental unit of structure and function in all living organisms. I hope this helps!

Answer:

-2/6

Step-by-step explanation:

Answer:

Using Pyhagoras theoram,

(H)^2 = (B)^2 + (P)^2

B = 13 in

P = 5 in

[tex](h)^{2} = (13)^{2} + {(5)}^{2} \\ = > (h)^{2} = 169 + 25 \\ = > (h)^{2} = 194 \\ = > h = \sqrt{194} \\ = > h = 13.92[/tex]

Hence, the missing side is 13.92 inhes.

Answer:

13.93

Step-by-step explanation:

[tex]5^{2} + 13^{2} = c^{2}[/tex]

[tex]25 + 169 = 194 = c^{2}[/tex]

[tex]\sqrt{194} = c^{2}[/tex]

[tex]13.92838827718 = c[/tex]

then round up to 13.93

Answer:

Step-by-step explanation:

The answer is simple

18 - 1 = 17

Answer:

18<b

Step-by-step explanation:

b can repersent any number and you can use any letter in replace of b.

Hope this helps!

Answer:

I think it would be like f x2 so you would reorder the term and get 2f

Step-by-step explanation:

A) 1st one

B) 2nd one

C) and im too lazy to do c

Answer:

6 x 10^-6 is a greater value

2 x 10^-8 is the lesser value

I'm not sure about the third one

Answer:

B.

[tex](x + 2) ^{3} - 9 [/tex]

Answer:

A

Step-by-step explanation:

the reason for this equations answer to be A is because if you take the inches in one mile 63,360 and multiple it by the miles that it takes to get the school 12.8 you'll get 811,008.