I was
following a recipe to make punch for a party. The rect cakks for 2 cups of juice for every 3 cups o
f seltzer. If I have 12 cups of seltzer, how many cups of juice do I need?


​

Answer:

  a = 15/8

Step-by-step explanation:

You want the solution to the two-step linear equation ...

  -1/2 +1/3a = 1/8

When an equation involves fractions, it is often useful to clear fractions by multiplying the equation by their least common denominator. Here, that means we want to multiply the equation by 24.

  -12 +8a = 3 . . . . . . multiply the given equation by 24

  8a = 15 . . . . . . . . add 12

  a = 15/8 . . . . . . divide by the coefficient of the variable

The solution is a=15/8 or 1 7/8.

Answer:

$24,862.96

Step-by-step explanation:

100% = $23,472

105.5% = answer?

To convert a percentage to a decimal, you have to divide by 100:

100% = 1.0

5.5% = 0.055

105.5% = 1.055

1.055 × $23,472 = $24,862.96

The width of the rectangular painting painted by John is  24.15 inch.

For, the given question;

The perimeter of the rectangular painting painted by the John is 108.56 in.

The formula for the perimeter of the rectangle is;

Perimeter = 2(length + width)

Thus,

2(length + width) = 108.56

The rectangular painting is 5.97 in. taller than it is wide.

It means;

Length = 5.97 + width

Put the value in perimeter.

2(5.97 + width + width) = 108.56

11.94 + 4 width = 108.56

width = 24.155

width = 24.155 (decimal rounded to two decimal places)

Therefore, the width of the painting is 24.15 inch.

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Answer:

D

Step-by-step explanation:

Se can feed pickle freom the bag

AAAAAAAAAAnswer: 24/4 = 6

AAnswer:

Las Letras A B C , en matematicas el valor puede variar ; ya que ya depende del valor que se le otorge o ya si es una operacion , pues el valor que se obtiene , es decir las letras en matematicas no tiene o poseen un valor fijo

Step-by-step explanation:

Writing the interval [2,6] using​ set-builder notation, is:

{ x | x ∈ R, 2 ≤ x ≤ 6 }

Real numbers (R) include all rational and irrational numbers.

Thus If we need to write the interval [2,6] using​ set-builder notation, we will write as:

{ x | x ∈ R, 2 ≤ x ≤ 6 }

This is interpreted as x belongs to a set of real numbers greater than or equal to 2 but less than or equal to 6

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Answer:

A

Step-by-step explanation:

The domain of g(x) is the set of all real numbers. Meaning that all the numbers between the min and max of g would be -7 ≤ x ≤ 7.

The non-permissible replacement for x in this expression is 1.

An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.

Given:

The given expression is

[tex]x=\frac{b^{2} }{5b-5}[/tex]

Non-Permissible Values: values of a variable that make the denominator of a rational expression equal 0.

If the denominator contains a binomial, the non-permissible values can be determined from the factored form of the binomial.

A rational expression is a fraction, where p and q are polynomials, q ≠ 0. A non-permissible value is a value of the variable that causes an expression to be undefined. For a rational expression, this occurs when the denominator is zero.

Inadmissible Values: values of a variable that do NOT make sense in the context of a given problem.

According to given question we have

The expression is

[tex]x=\frac{b^{2} }{5b-5}[/tex]

By definition, the non-permissible replacement for x in this expression, is the value of x that makes the denominator equal to zero.

5b-5=0

5b=5

Divide both sides by 5 we get,

b=1

Therefore, the non-permissible replacement for x in this expression is 1.

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Consider the equation,

y = x + 5

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.

In equation y = x + 5, the graph y = x is shifted 5 units towards the negative x-axis.

To graph the equation we determine various points on the line.

When x = 0,

y = x + 5

y = 5

When y = 0,

y = x + 5

0 = x + 5

x = - 5

When x = - 1,

y = x + 5

y = - 1 + 5

y = 4

When x = - 2,

y = x + 5

y = - 2 + 5

y = 3

When x = - 3,

y = x + 5

y = - 3 + 5

y = 2

Therefore, the points on the line y = x + 5 are ( 0, 5), (- 5, 0), ( - 3, 2), ( -1, 4) and ( - 2, 3).

Answer: That is a cold front

Step-by-step explanation:

It is a cold front because the warm air is rising because it is less dense than the cold air which is why the cold air isn’t rising because the cold air is denser than that of the warm air so it just continues moving forward

Answer:

A. d ≥ -2 3/10

Step-by-step explanation:

-5d + 5 1/2 ≤ 17

-5d + 11/2 ≤ 17

-5d ≤ 17 - 11/2

2(-5d) ≤ 2 × 17 - 2 × 11/2

2(-5d) ≤ 2 × 17 - 11

-10d ≤ 2 × 17 × 11

-10d ≤ 34 - 11

-10d ≤ 23

d ≥ -2 3/10

So A is the answer

Answer:

9w

Step-by-step explanation:

First: combine like terms

3 - 5w + 12 + 2w - 3

(-5w) + 2w = (-3w)

Second: subtract 3 from 12 (12 - 3)

3 - 3w + 12 - 3

Third: subtract 3w from 3 (3 - 3w)

3 - 3w + 9

Forth: add 9 to w (w + 9)

w + 9

Answer:

9w

The least value is 11.

[tex]$$\begin{aligned}&\mathrm{S}=\frac{1}{1-(1 / 2)}=2 \\&\mathrm{~S}_{\mathrm{n}}=\frac{1-(1 / 2)^{\mathrm{n}}}{1-(1 / 2)}=2-\frac{1}{2^{\mathrm{n}-1}}\end{aligned}$$[/tex]

[tex]$$\mathrm{S}-\mathrm{S}_{\mathrm{n}}=\frac{1}{2^{\mathrm{n}-1}} < \frac{1}{1000} \text { or } 2^{\mathrm{n}-1} \geq 1000$$[/tex]

Now [tex]$2^{10}=32 \times 32=1024$[/tex]

[tex]$$\therefore n-1 \geq 10 \text { or } n \geq 11$$[/tex]

Hence the least value is 11.

If you have a positive term in your quadratic equation, it will also have a minimum value. This minimum value can be found by graphing the function or solving one of the two equations. If you have the equation y = a[tex]x^2[/tex] + bx + c, you may use the equation min = c - [tex]b^2[/tex]/4a to determine the minimum value.

A quadratic equation is a second-order polynomial equation in a single variable x a[tex]x^2[/tex]+bx+c=0. with a ≠ 0 . The fundamental theorem of algebra assures that it has at least one solution because it is a second-order polynomial equation.

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The value of the function (f/g)(x) when x=2 is 2

Function:

The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.

⇒(f/g)(x)=[tex]\frac{f(x)}{g(x)}[/tex]

⇒(f/g)(2)=[tex]\frac{f(2)}{g(2)}[/tex]

Given f(x)=2[tex]x^{2}[/tex] and g(x)=3x-2

⇒(f/g)(2)=[tex]\frac{f(2)}{g(2)}[/tex]

⇒(f/g)(2)=[tex]\frac{2(2)^{2} }{3(2)-2}[/tex]

⇒(f/g)(2)=[tex]\frac{8}{4}[/tex]

⇒(f/g)(2)=2.

Therefore,The value of the function (f/g)(x) when x=2 is 2

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Answer:

y = 3x/7 - 11/7

Step-by-step explanation:

3x/7 - 7y/7 = 11/7

-11/7   +y      -11/7 +y

3x/7 - 11/7 = y

Answer:

Hi!

[tex]x=5[/tex]

Step-by-step explanation:

[tex]9x-13+13=32+13\\9x=45\\\frac{9x}{9}=\frac{45}{9}\\=5[/tex]

Answer:

the answer is 5

Step-by-step explanation:

9 x 5 -13= 32

Answer:

After 18 years, Fred would have earned $40,675.05

Step-by-step explanation:

Since we know that Fred has $13,915 and the interest annually (every year) is 6.14%, we can just solve for 18 years.

In the case, the equation would be the following:

13.915 x (1 + 0.0614) ^ 18

This equation would get you $40,675.05

Hope this helped! :D

The maximum number of performers in each row so that all the rows are equal in length is 6.

It is given that there are 30 instruments and 18 flag bearers.

Prime factorization of 30 is given by

  [tex]30=2\times3\times5[/tex]

Prime factorization of 18 is given by

   [tex]18=2\times3\times\ 3[/tex]

The prime factorization of 30 and 18 have 2 and 3 as common prime number so HCF will be [tex]2\times3=6[/tex]

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The temperature changes for each day are 32.12 °C (Day 1) and 33.02 °C (Day 2), respectively. The day 2 registered the highest temperature change.

Herein we find a table with the temperatures at sunrise and sunset in two days and we need to determine the temperature change for each period and conclude in what day the change was the highest. The temperature change can be found by using the following formula:

ΔT = T' - T

Where:

The temperature changes for each day are 32.12 °C (Day 1) and 33.02 °C (Day 2), respectively. The day 2 registered the highest temperature change.

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The shelter has a volume of (E) 1108.25ft³.

Formula: V = lwh

Put the values in the formula as follows:

Therefore, (E) 1108.25ft³ is the volume of the shelter.

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The correct question is given below:

Lorie ordered a shed to hold her gardening supplies. The shed had a length of 16.25 ft, a width of 11 ft, and a height of six and one-fifth ft. Determine the volume, V, using the formula V = lwh.

a. 31.45 cubic ft

b. 103.32 cubic ft

c. 983 2 cubic ft J

d. 1.033.2 cubic ft

e. 1108.25

Parking space B covers a greater area.

Here, we are given a parking lot has two types of parking spaces- rectangles and parallelograms, as shown in the figure.

Let us calculate the area of each figure one by one-

Area of rectangle = length × breadth

Here, length = 6 units

breadth = 3 units

Thus, area of rectangle = 6 × 3

= 18 square units

Now, area of a parallelogram = base × height

here, base = 4 units

height = 5 units

Area = 4 × 5

= 20 square units

⇒ the area of the parallelogram is greater than the rectangle

Thus, parking space B covers a greater area.

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Your question was incomplete. Check for the missing figure below.

Answer:

188

Step-by-step explanation:

The piecewise function for the monthly charge W(x) for a customer who uses x hours of electricity is given by:

The graph of the function is given at the end of the answer.

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

For this problem, we have that:

The monthly charge is calculated differently according to the number of kWh of electricity used, divided into two cases as follows:

For up to 300 hours, the base charge of $50 plus the hourly fee of $0.0650 is charged, hence:

W(x) = 50 + 0.0650x, 0 ≤ x ≤ 300.

For more than 300 hours, the customer is charge 50 + 300 x 0.0650 = $69.5, plus the hourly fee of $0.0850, hence:

W(x) = 69.5 + 0.0850x, x > 300.

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The possible outcomes for the sum are the numbers in the set:

{2, 3, 4, 5, 6, 7}

So there are 6 possible outcomes.

You can select a number between 1 and 3, so the options are {1, 2, 3}

The computer selects a number between 1 and 4, so the options are {1, 2, 3, 4}

The possible aditions, in the form of "your number + computer number" are:

1 + 1 = 2

2 + 1 = 3

3 + 1 = 4

1 + 2 = 3

2 + 2 = 4

3 + 2 = 5

1 + 3 = 4

2 + 3 = 5

3 + 3 = 6

1 + 4 = 5

2 + 4 = 6

3 + 4 = 7

So the possible outcomes for the sum are the numbers in the set:

{2, 3, 4, 5, 6, 7}

So there are 6 possible outcomes.

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Answer:

D.

Step-by-step explanation:

[tex]17\% = 0.17\\0.25 = 0.25\\2/9 = 0.22\\\\0.17 \rightarrow 0.22 \rightarrow 0.25[/tex]

Answer:

D

Step-by-step explanation:

17%, 2/9= 22%, 0.25= 25%