Carla paid $45 to join a goof camp for the summer. She will also pay $15 for every private lesson she takes. If she has budgeted $225 for the camp, how many private lessons can she take? Please show me the equation and well as solving.​

Answer:

C) 36

Step-by-step explanation:

y = a(b^x) = a(1 + r)^x

Here, 1 + r = 1 + 0.36, so 0.36 is the rate.

0.36 = 36%

Answer: C) 36

21 and 7.

let the greater number be x and smaller number be y.

it is given that x = 3y.

it is also given that 4y + 5x = 133.

=> 4y + 5 * 3y = 133.

=> 4y + 15y = 133

=> 19y = 133

=> y = 7

then, x = 3y = 3 * 7 = 21.

hope this helps. :)

When researching, here is where each aspect of an index card should be placed: Match the letter that corresponds to one of the items below to the correct location (1,2,3,4,5) on an index card.A.

Title of card (aspect of subject) - (2) This should be the center or topmost part of the index card. It should be clear and concise enough to reflect what is contained in the index card.B.

Source Number - (4) This is the number allocated to each source in your reference list.C. Page Number - (3) This refers to the page number(s) where the information was sourced from. It is usually written on the top right or left corner of the index card.D.

Quotation - (1) This refers to the exact words that were used in the source materials and is written verbatim. This is usually written in quotation marks.E.

Paraphrase - (5) This refers to rewording a particular section of information in your own words without changing its meaning. The paraphrase should be accurate, concise, and written in a sentence format.

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The probability that a randomly selected group of shoppers will spend a total of more than is 7.86%.

Standard deviation = √n × σ

                                = √50 × 30

                                = 212.1320

P( Σx > 5300) = P( Σx - nu / √n * σ > 5300 - 5000/212.1320)

                      = P(z > 1.414)

                      = 1 - P( z< 1.414)

                      = 0.078621

                      = 7.86%

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Answer:

Step-by-step explanation:

--------|--------|---------|------||----|--------|---------|--------------------->

       -1         0         1    5/8  2        3         4                       ∞

Answer:

Step-by-step explanation:

$50/(20 pounds) = $2.5/pound

C(x) = (x pounds)·$2.5/pound = $2.5x

The equation that can be used to the cost C of buying x pounds of chicken at the same price per pound is C = 2.5x

Option C is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 6 is an equation.

We have,

20 pounds = $50

1 pound = 50/20

1 pound = $5/2

1 pound = $2.5

Now,

The equation to find the cost C of x pounds of chicken.

C = 2.5x

Thus,

The equation is C = 2.5x.

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Answer: x = 6

Step-by-step explanation:

1. Distribute

2. Subtract 4 from both sides of the equation

3. Simplify

4. Subtract 2x from both sides of the equation

5. Simplify

6. Divide both sides of the equation by the same term

7. Simplify

Hello, the answer would be X = 6

Since Samantha defines x as the number of front-seat tickets, the total dollar sales for lawn tickets would depend on the number of front-seat tickets sold.

Out of the given options, the expression that Samantha could use on the chart to represent the total dollar sales for lawn tickets is:

A) 20(x + 600)

In this expression, x represents the number of front-seat tickets, and multiplying it by 20 accounts for the dollar amount per lawn ticket. Adding 600 accounts for a constant factor or any additional fixed costs associated with the lawn tickets.

Therefore, the correct option is A) 20(x + 600).

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Distribute the 34 to both the x and -1, and once you do that, your answer is 34x - 34

Answer:

34x - 34

Step-by-step explanation:

34(x - 1) ← multiply each term in the parenthesis by 34

= 34x - 34

Answer:

y = 1/2x - 1

Step-by-step explanation:

The easiest was you do this is to first rearrange the equation into slope-intercept form (y = mx + b).  After rearranging, you can find the slope (m).

2x + y = -5

y = -2x - 5

The slope is -2.  Since the line we are trying to find is perpendicular, find the inverse and multiply it by -1.

-2  =>  1/2

Now use the point-intercept form to find the new equation.  Use the slope (1/2) and the given point (-1, -2).

y - y₁ = m(x - x₁)

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

y + 2 = 1/2(x + 2)

y + 2 = 1/2x + 1

y = 1/2x - 1

The equation of the line perpendicular to line WX is  y = 1/2x - 1.

The equation is y = (1/2)x -(3/2) ; y = one half x − three halves.

The correct option is D.

What is the equation of a Straight Line?

An equation of the straight line is given by y = mx+c,

Here m is the slope and c is the intercept on y-axis.

The equation of the line WX is 2x+y = -5

y = -2x -5

The product of the slopes of the line and the line perpendicular to this line will be -1

Therefore the slope of the line perpendicular to the line WX is -2 * m = -1,

m = 1/2

y = (1/2)x +c

The line passes through the points (-1, -2)

-2 = (1/2) (-1) +c

c = -2 +(1/2)

c = (-4 +1) /2

c = -3/2

Therefore, the equation is y = (1/2)x -(3/2) ; y = one half x − three halves.

The correct option is D.

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The most appropriate choice for profit and loss will be given by

Uncle Ben will feed his cows 2 pounds of grain supplement.

What is profit and loss?

If the selling price is more than the cost price, then the difference between the selling price and the cost price will give the profit.

If the selling price is less than the cost price, then the difference between the selling price and the cost price will give the loss.

Here,

For 1 pound

Cost price of grain supplement  = \(0.70 \times 1\)

                                                      = $\($0.70\)

Selling price of milk = \(0.20 \times 5\)

                                 = $\(1\)

Profit = $(\(1 - 0.70\))

         = $0.30

For 2 pounds

Cost price of grain supplement  = \(0.70 \times 2\)

                                                      = $\($1.40\)

Selling price of milk = \(0.20 \times 9\)

                                 = $\(1.80\)

Profit = $(\(1.80 - 1.40\))

         = $0.40

For 3 pounds

Cost price of grain supplement  = \(0.70 \times 3\)

                                                      = $\($2.10\)

Selling price of milk = \(0.20 \times 12.3\)

                                 = $2.46

Profit = $(\(2.46 - 2.10\))

         = $0.36

For 4 pounds

Cost price of grain supplement  = \(0.70 \times 4\)

                                                      = $\($2.80\)

Selling price of milk = \(0.20 \times 15.5\)

                                 = $3.1

Profit = $(\(3.1 - 2.80\))

         = $0.30

For 5 pounds

Cost price of grain supplement  = \(0.70 \times 5\)

                                                      = $\($3.50\)

Selling price of milk = \(0.20 \times 18\)

                                 = $3.60

Profit = $(\(3.60 - 3.50\))

         = $0.10

For 6 pounds

Cost price of grain supplement  = \(0.70 \times 6\)

                                                      = $\($4.20\)

Selling price of milk = \(0.20 \times 20\)

                                 = $4

Loss = $(\(4.20 - 4\))

         = $0.20

For 7 pounds

Cost price of grain supplement  = \(0.70 \times 7\)

                                                      = $\(4.90\)

Selling price of milk = \(0.20 \times 21.5\)

                                 = $\(4.30\)

Loss = $(\(4.90 - 4.30\))

         = $0.60

For 8 pound

Cost price of grain supplement  = \(0.70 \times 8\)

                                                      = $\($5.60\)

Selling price of milk = \(0.20 \times 22.5\)

                                 = $\(4.50\)

Loss = $(\(5.60 - 4.50\))

         = $1.10

For 9 pounds

Cost price of grain supplement  = \(0.70 * 9\)

                                                      = $\(6.30\)

Selling price of milk = \(0.20 * 23\)

                                 = $\(4.60\)

Loss = $(\(6.30 - 4.60\))

         = $1.70

Since profit from 2 pounds of grain supplement is the most, Uncle Ben will feed his cows 2 pounds of grain supplement.

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Complete Question

Farmer Ben knows that feeding a grain supplement to his cows will produce more milkaccording to the following schedule:

ignoring all other issues, how many pounds of grain supplement should farmer ben feed his cows if the price of milk is $0.20 per pound and the price of grain supplement is $0.70 per pound?

The table has been attached here

Answer:

-3c

Step-by-step explanation:

During photosynthesis, what is the path or flow of energy among biotic and abiotic parts of an ecosystem?

Answer:

-3c

Step-by-step explanation:

c+-4c+10+-10=  c+-4c= -3c

Step-by-step explanation:

wow, how complicated can one phrase this ...

the point being :

1 ft = 12 in and vice versa (1 in = 1/12 ft)

so, any measurements given in feet but needed in inches need to be multiplied by 12.

and any measurements given in inches but needed in feet need to be divided by 12.

so,

3.5 ft = 3.5×12 = 7/2 × 12 = 7×6 = 42 in

27 in = 27/12 = 9/4 = 2 1/4 or 2.25 ft

Answer:When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f, with the constant of variation being 12.

What is the equation relating these two quantities?

✔ m = 12f

How many inches would a 3.5-foot object measure?

✔ 42

inches

How many feet would a 27-inch object measure?

✔ 2.25

feet

Step-by-step explanation:

answer: mary - 13 apples

John - 8 apples

Richard - 16 apples

13 + 8 + 16 = 37

The value of the given expression is -1.

Given is an expression 1/4 (-4/1) (3/5) (-5/6) (-2) we need to simplify it,

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

so,

1/4 (-4/1) (3/5) (-5/6) (-2)

= 1/4 × -4 × 3/5 × -5/6 × -2

= -1 × -1/2 × -2

= -1

Hence the value of the given expression is -1.

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Rounded to the nearest ten-thousandth, the solution is x of the logarithmic equation is 2.000.

To solve this equation, we can begin by isolating the logarithmic expression on one side of the equation. To do this, we can divide both sides of the equation by 3:

3 log 2x / 3 = 4 / 3

This simplifies to:

log 2x = 4/3

Now, we can use the property of logarithms that states that "log \(a^b\) = b × log a" to rewrite the logarithmic expression on the left side of the equation:

log 2x = 4/3

log \(2^{(4/3)}\) = 4/3

4/3 × log 2 = 4/3

This simplifies to:

log 2 = 1

Since "log \(a^1\) = 1" for any value of "a," this means that \(2^1\) = 2. Therefore, the solution to the equation is x = 2.

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Answer:

e = -12

Step-by-step explanation:

Start by combining like terms:

4/3 = -6e - 5/3

becomes

9/3 = -6e

Solve for e by dividing both sides by -6:

  9

--------- = e

 3(-6)

this reduces to e = -12

Answer:

\(e=-\frac{1}{2}\)

Step-by-step explanation:

\(\frac{4}{3} =-6e-\frac{5}{3} \\\frac{4}{3} +(6e+\frac{5}{3} )=(-6e-\frac{5}{3} )+(6e+\frac{5}{3} )\\\frac{4}{3} +(\frac{3(6e)+5}{3} )=(\frac{-3(6e)+(-5)}{3} )+(\frac{3(6e)+5}{3} )\\\frac{4}{3} +(\frac{3*6e+5}{3} )=(\frac{-3*6e-5}{3} )+(\frac{3*6e+5}{3} )\\\frac{4}{3} +(\frac{18e+5}{3} )=(\frac{-18e-5}{3} )+(\frac{18e+5}{3} )\\\frac{4+(18e+5)}{3} =(-\frac{18e+5}{3} )+\frac{18e+5}{3} \\\frac{4+18e+5}{3} =-\frac{18e+5}{3} +\frac{18e+5}{3} \\\frac{18+e+4+5}{3}=\frac{-(18+5)+18e+5)}{3} \\\)

\(\frac{18e+9}{3} =\frac{-18e-5+18e+5}{3} \\\frac{18e+9}{3} =\frac{-18+18e-5+5}{3} \\\frac{18e+9}{3} =0\\18e+9=0\\(18e+9)+(-9)=-9\\18e+9-9=-9\\18=-9\\\frac{18e}{18} =-\frac{9}{18} \\e=-\frac{9}{18} \\e=-\frac{3^{2} }{2*3^{2} } \\e=-\frac{1}{2}\)

We know that 1 feet is equivalent to 12 inches, this ratio allows us to deduct that franks pencil is 1 foot long.

Answer:

5n=50d

Step-by-step explanation:

If n stands for the number of weeks and he is going to pay $5 per week, then the 5n go together and if the debt is 50, then it goes on the opposite side of the equal sign. I hope this helps!

Answer:

y = -3x + 18

Step-by-step explanation:

The slope intercept form of a line is expressed as y = mx+c

m is the slope

b is the intercept

Get the slope

Given the equation of a line 9x + 3y = 6

Rewrite

3y = -9x + 6

y = -9x/3 + 6/3

y = -3x + 2

Hence the slope of the line is -3

Get the y-intercept

Substitute m = -3 and (5,3) into y  = mx+b

3 = -3(5) + b

3 = -15 + b

3 + 15 = b

18 = b

b = 18

Get the required equation

y = mx+b

y = -3x + 18

This gives the required equation

Number of students should be sampled to be within 0.5 drink of population mean with 95% probability is 617 students.

To determine the sample size required to estimate the population mean with a given level of precision, we can use the formula for the margin of error

Margin of error = Z × (standard deviation / sqrt(sample size))

where Z is the critical value of the standard normal distribution corresponding to the desired level of confidence. For a 95% confidence level, Z is 1.96.

We want the margin of error to be no more than 0.5 drinks, so we can set up the equation

0.5 = 1.96 × (6.3 / sqrt(sample size))

Solving for the sample size, we get

sqrt(sample size) = 1.96 × 6.3 / 0.5

sqrt(sample size) = 24.82

sample size = (24.82)^2

sample size = 617

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Answer:

False.

6 miles is farther than 6 kilometers. One mile is equal to 1.60934 kilometers, so 6 miles is equal to 6 x 1.60934 = 9.65604 kilometers. Therefore, 6 miles is farther than 6 kilometers.

Step-by-step explanation:

The answer is:

Work/explanation:

We can't really compare two things if they have different units.

So we need to convert kilometers to miles first.

1 km is approximately equal to 0.621 miles.

So 6 km would be approximately 3.728 miles.

6 miles is further away than 3.728 miles.

6 km is not as far as 6 miles. And now we know why.

Answer:

not a real number

Step-by-step explanation:

any negative number under a square root sign, except for 0, isn't real

On evaluating the given roots,

(a) \($-(\sqrt[3]{8}) = -2$\)

(b) \($\sqrt[4]{-81}$\) is not a real number

(a) \($-(\sqrt[3]{8})$\):

The cube root of 8 is the number that, when raised to the power of 3, equals 8. In this case, the cube root of 8 is 2, because \(2^3 = 8\).

Since we have a negative sign in front of the cube root, the result will be the negative value of the cube root of 8.

Therefore, \($-(\sqrt[3]{8}) = -2$\).

(b) \($\sqrt[4]{-81}$\):

The fourth root of a number is the number that, when raised to the power of 4, equals the given number.

In this case, we are looking for the fourth root of -81.

However, the fourth root of a negative number is not a real number. This is because raising a positive number to an even power (in this case, 4) will always result in a positive value, and there is no real number that, when raised to the power of 4, gives a negative result.

Therefore, the fourth root of -81 is not a real number.

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Answer:

Step-by-step explanation:

(2-3)⁴ *4 - 9 + 3 = (-1)⁴ *4 - 9 + 3

                          = 1*4 - 9 +3

                          = 4 - 9 + 3

                          = - 5 + 3

                           = - 2

Answer:

Option (C) 1 is the correct answer.

Step-by-step explanation:

To solve the above equation we will follow the PEDMAS rule.

It stands for :

Evaluating the question by Pedmas rule :

\(\begin{gathered}\qquad{\twoheadrightarrow{\tt{(2 - 3) ^{4}(4) - 9 \div 3}}} \\ \\ \qquad{\twoheadrightarrow{\tt{( - 1) ^{4}(4) - 9 \div 3}}} \\ \\ \qquad{\twoheadrightarrow{\tt{(1) (4) - 9 \div 3}}} \\ \\ \qquad{\twoheadrightarrow{\tt{1 \times 4 - 9 \div 3}}} \\ \\ \qquad{\twoheadrightarrow{\tt{4 - 9 \div 3}}} \\ \\ \qquad{\twoheadrightarrow{\tt{4 - 3}}} \\ \\ \qquad{\twoheadrightarrow{\tt{1}}} \end{gathered}\)

Hence, the answer is 1.

\(\rule{300}{2.5}\)

Answer:

  x = 6 m

Step-by-step explanation:

Given a diagram showing a semicircle atop a rectangle that is 8 m wide, you want to know the height of the rectangle when the overall height of the figure is 10 m.

All points on a circle are the same distance from its center. The center of a semicircle is the midpoint of its straight side. Here, the diameter of the semicircle is shown as 8 m, so the midpoint will be 4 m from either side.

The top point of the semicircle will be 4 m from the center on the top edge of the rectangle.

Since the overall height is 10 m, the rectangle must be 10 -4 = 6 meters high.

The value of x is 6 m.

Step-by-step explanation:

Basically, you have to use the pythagorean theorem a² + b² = c².

Draw a triangle connecting the two points. The distance for side a should come to 8 units, and side b should be 5

8² + 5² = c²

64 + 25 = 89

square root of 89 is approximately 9.43

Answer:

It's in the doc below

Step-by-step explanation:

Hope it helps

Answer:

56x+32x+14x+8

Step-by-step explanation:

8x*7x=56x

8x*4=32x

2*7x=14x

2*4=8