Notice that the original recipe calls for 1/4 cup of water. If you put in 3/8 cup of water, by how much have you multiplied the original recipe? How many people will your new recipe serve?

Please Help Me!!!!

Answer:

Step-by-step explanation:

i) If p is inversely proportional to q³, this is expressed as p ∝ q³

p = k/q³ where q is the proportionality constant.

Given p = 27 and q = 3

Substitute this values into the formula

27 = k/(3)³

27 = k/27

k = 27×27

k = 729

Substitute k = 1 into the formula

p = 729/(q)³

Hence the formula which expresses p in terms of q is p = 729/q³

ii) If r is directly proportional to q, it is expressed as r ∝ q

r = kq

If r = 10 and q = 2

Substitute

10 = 2k

k = 10/2

k = 5

The equation becomes

r = 5q... 1

From 1) p = 729/q³

q³ = 729/p

q = 9/³√p

q = 9/p^1/3....2

Substitute equation 2 into 1

r = 5(9/p^1/3)

r = 45p^-1/3

Compare r = 45p^-1/3 with r = kp^n

k = 45 and n = -1/3

Answer:

  see attached

Step-by-step explanation:

Any of the vertical lines is perpendicular to any of the horizontal lines.

The open/close/adjust handle is perpendicular to the blind slats and the blind frame.

The threads that hold the slats, and the string that raises/lowers them are also perpendicular to the slats.

Answer:

210 (numbers between )

Step-by-step explanation:

Answer:

That handy button allows you to instantly change a positive number into a negative number, or, to change a negative number to a positive one

Answer:

116

Step-by-step explanation:

hope this helps

Answer: No you cannot.

Step-by-step explanation:

They are different units and cannot be combined.

As proportional relationship, the amount decreasing at a rate milligrams per hour can be written in expression P(t) = 500 + e⁻⁰²ˣ

In math, the relationships between two variables where their ratios are equivalent is known as proportional relationship.

Given that P(t) represent the amount of a certain drug, in milligrams, that is in the bloodstream at time t hours.

Here we have the rate at which the drug leaves the bloodstream proportional to the amount of the drug bloodstream.

The amount of the drug in the bloodstream can be modeled by dP/dt = kP, where k is a constant and t is time, in hours.

Here we need to find the expression.

Bloodstream = 500 milligrams

So, the expression for this proportional relationship is written as;

P(t) = 500 + e⁻⁰²ˣ

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Answer:

15.5 meters tall

Step-by-step explanation:

Add 1.35 for each year to the start amount.

Answer:

3x + 7

Step-by-step explanation:

let the number be x then multiply it by 3 is 3x , then add 7 is

3x + 7

Answer:

3x + 7

Step-by-step explanation:

3 multiply x then add 7
3x + 7

Answer:

Positives: 9 and 4

Negatives: -5 and -7

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The equation to determine the volume of the rectangular box is:

V = 6 * (5 + 3x)

Given that the area of the large rectangular package is 6 square units and its height is 3x units more than the small box,

To determine the volume of the large rectangular package, multiply its area by its height.

Volume of the large rectangular package = Area of the large rectangular package * Height of the large rectangular package

The area of the large rectangular package is given as 6 square units, so we substitute it into the equation:

Volume of the large rectangular package = 6 * Height of the large rectangular package

Now, the height of the large rectangular package is 3x units more than the small box. The height of the small box is 5 units, so we add 3x to it:

Height of the large rectangular package = 5 + 3x

Substituting this into the equation:

Volume of the large rectangular package = 6 * (5 + 3x)

Hence, the equation to determine the volume of the large rectangular package is: Volume = 6 * (5 + 3x)

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Answer:

12537678446.7

Step-by-step explanation:

316+178 divided by 2427 (2639 plus 26383) - 373637/282637

Answer:

x = 4

Step-by-step explanation:

Given the points (4, - 1) and (4, 8)

Note the x- coordinates are 4 in both cases.

This indicates the line passing through the points is vertical with equation

x = c

where c is the value of the x- coordinates the line passes through. In this case 4, thus

x = 4 ← equation of vertical line

Answer: 0.1 goes in the blank because the hundredths is improper

Step-by-step explanation:

3. 5

Constant terms are terms with no variables attached to them, and will not change under any circumstances. A variable is typically denoted by a Latin Alphabet.

4. 4

The coefficient is the whole number found in front of the variable, typically being multiplied to it. In this case, you are solving for the coefficient that is found in front of g², which is 4.

5. -3c

The coefficient -3 is found at the 3rd term of the expression.

6. -12x & -17x ; 15y & 16y

Like terms are terms with the same variable as well as the same amount of variables. For example x² is not a like term of x, though both variables have x to signify them.

7. 3c

Unlike terms are terms that do not share at least one partner of the same amount of variables. c is a variable by itself with no other terms containing it, and so is your answer.

~

Answer:

[tex]y = 5[/tex]

Step-by-step explanation:

Given equation:

[tex]3(3y - 15) = 0[/tex]

Divide both sides by 3:

[tex]\implies \dfrac{3(3y - 15)}{3} = \dfrac{0}{3}[/tex]

[tex]\implies 3y-15 = 0[/tex]

Add 15 to both sides:

[tex]\implies 3y-15 +15= 0+15[/tex]

[tex]\implies 3y=15[/tex]

Divide both sides by 3:

[tex]\implies \dfrac{3y}{3}=\dfrac{15}{3}[/tex]

[tex]\implies y=5[/tex]

Answer:

The value of y is 5.

Step-by-step explanation:

First, we will distribute 3 on (3y - 15) This means 3(3y) - 3(15) = 0. Now, we will multiply 3 by what is inside the parentheses for each value. This gives us 9y - 45 = 0. After that, we will add 45 to both sides, which leaves us with 9y = 45. Finally, we will divide 45 by 9 to give us the y value, 5. I hope this helped (:

Answer:

-18

Step-by-step explanation:

If you turn 2 1/4 into an improper fraction, you get 9/4

Turn -8 into an improper fraction, you get -8/1

Equation: 9/4*-8/1

You can cross cancel the 4 and the 8 so your equation becomes 9/1*-2/1 which becomes 9*-2

Multiply and you get -18 :)

At an elevation of 500m, the sound will travel fastest.

Elevation        Temp

  500m           11.8°C

 1000m           8.5°C

 1500m           5.3°C

 2000m          2.0°C

We know that air molecules at higher temperatures have more energy and can vibrate faster and allow sound waves to travel more quickly because the more is the medium, the more quickly sound waves propagate.

So, when the given temperature is maximum i.e. 11.8°C, the sound will travel fastest. The elevation corresponding to 11.8°C is 500m.

So, Sound will travel fastest at 500m elevation.

Therefore, At an elevation of 500m, the sound will travel fastest.

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Answer:

$520

Step-by-step explanation:

8000x0.065=520

Answer:

area of parallelogram= 59.39 cm square

Answer:

Dean was at school for 30 minutes more than Darren.

Step-by-step explanation:

8:15-3:15 is 7 hours. 8:00-2:30 is 6 hours 30 minutes. The difference between the two is half an hour.

Hope this helps!!

Answer:

eight to the power of 4 would be 8x8x8x8, 9 cubed would be 9x9x9 and 9^3, 17x17x17, 21x21x21x21x21 and 21^5, 7^2, 11x11x11x11

Step-by-step explanation:

Answer: Choice B)  [tex]y \ge \frac{3}{4}x-3[/tex]

The boundary is the equation y = (3/4)x-3 which goes through (0,-3) and (4,0)

This boundary is a solid line. Since it's a solid line, we will involve "or equal to" as part of the inequality sign.

The shading above the boundary line indicates we'll also have "greater than" as part of the inequality sign.

So overall, the inequality sign is "greater than or equal to". That leads to choice B.

Answer:

x = 1

Step-by-step explanation:

6(x - 2) = 3 - 9x

We want to find x so that LHS = RHS/

6x - 12 = 3 - 9x

6x + 9x = 3 + 12

15x = 15

x = 1

Not 100% sure!

The value of x that makes the equation true is x = 1.

An expression in mathematics is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that represents a value or quantity.

We can solve for x by simplifying the equation using the distributive property and combining like terms:

6(x - 2) = 3 - 9x

6x - 12 = 3 - 9x (distribute 6)

6x + 9x = 3 + 12 (add 9x and 12 to both sides)

15x = 15 (combine like terms)

x = 1 (divide both sides by 15)

Therefore, the value of x that makes the equation true is x = 1.

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Answer:

40

Step-by-step explanation: It's 40 because 8 times 5 is 40. But if you want to find out how much water the patient drank all together including right before bed then it would be 46 ounces of water.

The equation that represents the nth term of the geometric sequence is 6 x 3^N = X.

Given that you want to determine how quickly messages can spread on a social media website, and on the first day, you create a message that is shared with 2 people, and on the second day, each of those people share it with 3 people, and on the third day, everyone who received the message shares it with 3 more people, and so on, to write an equation that represents the nth term of the geometric sequence, the following calculation must be made:

Therefore, the equation that represents the nth term of the geometric sequence is 6 x 3^N = X.

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Answer:

2.8

Step-by-step explanation:

Answer:

2.8 is the MAD

6 is the mean