Maria and Cody are selling pies for a school fundraiser. Customers can buy cherry pies and lemon meringue pies. Maria sold 4 cherry pies and 2 lemon meringue pies for a total of $96. Cody sold 5 cherry pies and 5 lemon meringue pies for a total of $170. What was the cost of the cherry pie? Write and solve a system of linear equations.

Answer:

-1/  125

Step-by-step explanation:

(-5) ^ -3

We have a negative exponent

a^ -b = 1 /a ^b

1 / ( -5) ^3

The power of 3 means multiply (-5) together 3 times

1 / ( -5)(-5)(-5)

1/  - 125

-1/  125

Answer:

Answer:

-1/  125

Step-by-step explanation:

(-5) ^ -3

We have a negative exponent

a^ -b = 1 /a ^b

1 / ( -5) ^3

The power of 3 means multiply (-5) together 3 times

1 / ( -5)(-5)(-5)

1/  - 125

-1/   -125

Step-by-step explanation:

Answer:c

Step-by-step explanation:Because there giving you a signal

Answer:

Step-by-step explanation:

$211000 are 100% - 58% = 42% of the (former) income.

Therefore, 1% is 42 times less: 211000/42 = 5023.81,

and the (former) income was 100 times this value, i.e. GHC 502381.

Answer:

False

Step-by-step explanation:

Answer:

The calf raiser uses 960 oz of milk replacer for 15 calves, so each calf gets 960 oz / 15 = 64 oz of milk replacer.

To convert this to quarts, we need to divide by 32 (since there are 32 oz in a quart)

64 oz / 32 oz/quart = 2 quarts

Each calf gets 2 quarts of milk replacer and the calf raiser needs to add 34 as much water as milk replacer

So the total amount of water she needs is 2*34 = 68 quarts

To convert the quarts of water to ounces we need to multiply by 32 (since there are 32 oz in a quart)

68 quarts * 32 oz/quart = 2176 oz of water.

So the calf raiser needs 2176 ounces of water to mix with the milk replacer for 15 calves.

The quotient using compatible numbers for 2252 divided by 7 is 321 remainder 5.

Compatible numbers are those that are simple to mentally add, subtract, multiply, or divide. Compatible numbers are close in value to the actual numbers, making it easy to estimate the answer and solve problems.

The following steps are required:

Step 1: Take the dividend's first digit from the left.

Step 2: Next, divide it by the divisor and write the result as the quotient on top.

Step 3: Subtract the result from the digit and record the difference.

Step 4: Subtract the dividend's next digit (if present).

Step 5: Write the value gotten.

A quotient is a quantity created by the division of two numbers in mathematics. The quotient is widely used in mathematics and is also known as the integer component of a division, a fraction, or a ratio. In this case, the value gotten after the division is 321 remainder 5.

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Answer:

Step-by-step explanation:

Purchase price (A) : $12,500

Down Payment (B): $3,000

Loan Taken (C = A - B):  $9500

D :  Interest calculation for $9,500 for 3 years P(1 + rt)

= 9500(1 + (14.5/100) * 3)

= 9500(1 + 0.145 * 3)

= 9500 * 1.435

= $13632.5

E : Interest calculation for $9,500 for 2 years P(1 + rt)

= 9500(1 + (14.5/100) * 2)

= 9500(1 + 0.145 * 2)

= 9500 * 1.29

= $12,255

Difference between D - E

= $13632.5 - $12,255

= $1377.5

Hence the answer is B i.e. $1377.5 less interest for same amount of load for 2 years vs 3 years

Algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).

Let's denote the amount of money the insurance company will pay as P. In this scenario, if the value of the stolen items is greater than the deductible, the insurance company will cover the loss, and Ron will receive compensation for the stolen items.

The total value of the stolen items can be calculated by adding the value of the bicycles (2b) and the value of the tools (t). So, the total value of the stolen items is 2b + t.

If the total value of the stolen items is greater than the deductible (d), then the insurance company will pay the difference between the total value and the deductible. Mathematically, this can be represented as:

P = (2b + t) - d

Therefore, algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).

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The relation that can not be supported by the evidence in the image is option B

Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.

Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.

Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.

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Answer:

D

Step-by-step explanation:

The first equation would have to have a y-intercept of 4, and the second equation would have to have a y-intercept of -1.

-hope it helps

Answer: what the actual fudge is this?? i am a former harvard professer for math and I have never seen such a monstrocity of a math question, but the answer is the first one.

Step-by-step explanation:

Answer:

True or False

2. When graphing inequalities, a dashed line is used for < or > signs.

True or False

3. If you were to graph x > 6, the circle would be closed and to the left.

True or False

4. On a number line, if you were to graph an equation with a less than sign or a great than sign, < or > respectively, you would use an open circle

True or False

Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.

Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.

What is an Angle?

An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths

To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:

Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.

Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees

Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees

Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

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Answer:

M is target to the circle

The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.

The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?

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The cost to rent a truck and drive 188 miles is 65.07, with x representing the number of miles driven (188) and y representing the total cost (65.07).

To find the cost to rent a truck and drive 188 miles, we need to use the given information:

1. The truck rental company charges a flat fee of 19.95.

2. They also charge 0.24 per mile driven.

In this problem, x represents the number of miles driven, and y represents the total cost.

Step-by-step explanation:

1. Identify x and y:
  x = 188 miles (given in the problem)
  y = total cost

2. Calculate the cost for the miles driven:
  Cost per mile (0.24) × number of miles (x = 188) = 0.24 × 188 = 45.12

3. Add the flat fee to the cost for miles driven:
  Total cost (y) = flat fee (19.95) + cost for miles driven (45.12) = 19.95 + 45.12 = 65.07

The cost to rent a truck and drive 188 miles is 65.07, with x representing the number of miles driven (188) and y representing the total cost (65.07).

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42 ounces is equivalent to 2.625 pounds.

To convert 42 ounces to pounds, we divide by the conversion factor of 16 ounces per pound, since there are 16 ounces in a pound:

= 42 ounces / 16 ounces per pound

= 2.625 pounds

Now, to express 2.625 pounds in simplest form.

Since it is in decimal form, so we don't need to simplify it further.

Therefore, 42 ounces is equivalent to 2.625 pounds.

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The true statement  about the geometric figure that can contain these points is option C:  One plane can be drawn so it contains all three points.

Based on the question given, the points R, S, and T are said to be specified.

If the three points lie on the same line, there are countless planes that can pass through the line connecting them.

If we choose three points that are not in the same location in three-dimensional space, there exists a flat surface that passes through all three points.

Therefore, The assertion of option C stated applies to a three points, namely R, S, and T.

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Projectile B begins its descent 1 seconds before Projectile A does.

In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).

By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:

y-intercept = (0, 44).

Maximum height = (4, 300).

When t = 0, the y-intercept of Projectile B can be calculated as follows;

h(t) = -16t² + 96t

h(0) = -16(0)² + 96(0)

h(0) = 0.

For the maximum height, we have:

h(t) = -16t² + 96t

h'(t) = -32t + 96

32t = 96

t = 96/32

t = 3

Difference in time = 4 - 3

Difference in time = 1 seconds.

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Step-by-step explanation:

w = width

2w + 2 =  Length

Area = W x L  = 84 = w (2w+2)

                          84 = 2w^2 + 2w

                            0 = 2w^2 + 2w - 84        Use Quadratic Formula

                                                                 a = 2    b=2    c = -84

to find  

W = 6      then     L =  14 inches

Answer:

7/4≤x ≤-1

Step-by-step explanation:

Given the set of inequalities

−5x−3≥2 and 4x−2≥5

We are to write the solution in interval notation. We need to solve them individually first as shown;

For −5x−3≥2

add 3 to both sides

−5x−3+3≥2+3

-5x ≥5

divide both sides by -5 (note that dividing by a negative value will change the sense of the inequality sign)

-5x/-5 ≤5/-5

x ≤ -1

For the inequality 4x−2≥5;

add 2 to both sides

4x−2+2≥5+2

4x≥7

divide both sides by 4;

4x/4 ≥ 7/4

x≥7/4 or 7/4≤x

Combining 7/4≤x and x ≤ -1, the solution in interval notation is expressed as 7/4≤x ≤-1

The equation that represents the condition is m° + 66° + m° = 120°. Then the value of m is 27°.

When two lines intersect, then their opposite angles are equal. Then the equation is given as,

m° + 66° + m° = 120°

Simplify the equation for m, then the value of 'm' is calculated as,

m° + 66° + m° = 120°

2m° = 120° - 66°

2m° = 54°

m° = 27°

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The probability of a negative return if the returns are normally distributed, we can use the mean and standard deviation of the returns and If the distribution is symmetrical but otherwise unknown, it may be more difficult to estimate the probability of a negative return without more information about the shape of the distribution.

To determine how confident we can be that the mean of the given data sample is greater than 40, we would need to perform a statistical test such as a t-test or a z-test to compare the sample mean to the value of 40.

We would need to know the sample size, standard deviation, and any other relevant information about the data to calculate the appropriate test statistic and determine the p-value, which would tell us the probability of observing a sample mean as extreme as the one we obtained if the true population mean was actually 40.

To determine how confident we should be that the portfolio manager will continue to produce positive returns, we would need to analyze the distribution of returns and determine whether it is skewed or symmetrical and whether it follows a normal distribution or a different distribution. If the distribution is skewed or non-normal, it may be more difficult to estimate the probability of positive returns. However, if the distribution is symmetrical and follows a normal distribution, we can use the mean and standard deviation of the returns to calculate the probability of a positive return using the normal distribution.

If the returns of the investment strategy are normally distributed, we can use the mean and standard deviation of the returns to calculate the probability of a negative return using the normal distribution. If the distribution is symmetrical but otherwise unknown, it may be more difficult to estimate the probability of a negative return without more information about the shape of the distribution.

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The question is -

Given the following data sample, how confident can we be that the mean is greater than 40? 64 70 20 58 13 74 84 47 17 2. You are given the following sample of annual returns for the portfolio manager: If you believe that the distribution of returns has been stable over time and will continue to be stable over time; how confident should you be that the portfolio manager will continue to produce positive returns? -7% 7% 19% 23 % -18 % -12% 49% 34% ~6% -20% 3. You are presented with an investment strategy with a mean return of 20% and a standard deviation of 10%_ What is the probability of a negative return if the returns are normally distributed? What if the distribution is symmetrical but otherwise unknown?'

Answer:

0.0677 = 6.77% probability that they will all be nonfiction

Step-by-step explanation:

The books are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

10 + 12 = 22 books.

She chooses 4 books, which means that \(n = 4\)

12 nonfiction, which meas that \(k = 12\)

What’s the probability that they will all be nonfiction?

This is P(X = 4). So

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 4) = h(4,22,4,12) = \frac{C_{12,4}*C_{10,0}}{C_{22,4}} = 0.0677\)

0.0677 = 6.77% probability that they will all be nonfiction

They are congruent by the by the Angle-Side-Angle (ASA) congruence criterion.

Angle-Side-Angle (ASA) congruence criterion states that if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the two triangles are congruent. In this case, the angles angle E = angle I and EG=FI (a non-included side), so the triangles ADEF and AHIG are congruent by ASA.

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-19.99; The line of best fit underpredicts the student's science test score.

So correct option is A.

A prediction is an estimation or forecast about future events or conditions, based on past data and trends, current information, and/or mathematical models. Predictions can be made in various fields, such as finance, weather, sports, social sciences, and natural sciences. The accuracy of predictions depends on many factors, including the quality of the data used, the assumptions made, the complexity of the system being analyzed, and the reliability of the methods used. Predictions are not always accurate and are often subject to revision as new information becomes available.

The predicted science score for the student with IQ 100 can be calculated using the line of best fit:

ŷ = −20.3 + 0.7489 * 100 = 71.59

The residual is the difference between the actual science test score and the predicted science score:

residual = actual score - predicted score = 52.6 - 71.59 = -19.99

So the line of best fit underpredicts the student's science test score by 19.99 points.

Therefore, the residual is:

-19.99; The line of best fit underpredicts the student's science test score.

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46 Days the number of days that the funds were on deposit on Interest rate.

What exactly does "interest rate" mean?

Interest earned = Principal*Interest rate*Time period

155.27 = 20,000 * 0.06 * Time period

Time period = 155.27/(20,000*0.06)

                      = 0.129339 years

                     =(0.129339 * 360)

                     = 46.56204 days

                     = 46 days(Approx)

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Answer:The vertex in the graph is (-2,1) and It has a maximum value of 1 ,occurs at x=-2

Step-by-step explanation:

To find the vertex of a quadratic equation you gotta find the find middle point of the equation it could be lowest or his point in the quadratic equation

In this graph the vertex is the highest point in this graph (-2,1)

The quadratic equation is a maximum because the vertex is the highest point in the graph and if the vertex point was the lowest point it would been minimum.

Answer: 4.79 and 11.96

Step-by-step explanation:

The outlier in the data is clearly a mistake, as it is not possible for someone to sleep for 24 hours in a day. We will remove this value (24) from the sample and calculate the mean and standard deviation of the remaining values.

The remaining sample is: 8.5, 9, 8, 6.5, 7.5, 6, 8.5, and 9.5.

The sample mean is:

$\bar{x}=\frac{\sum_{i=1}^{n}x_i}{n}=\frac{8.5+9+8+6.5+7.5+6+8.5+9.5}{8}=7.875$

The sample standard deviation is:

$s=\sqrt{\frac{\sum_{i=1}^{n}(x_i-\bar{x})^2}{n-1}}=\sqrt{\frac{(8.5-7.875)^2+(9-7.875)^2+(8-7.875)^2+(6.5-7.875)^2+(7.5-7.875)^2+(6-7.875)^2+(8.5-7.875)^2+(9.5-7.875)^2}{7}}\approx 1.355$

With a sample size of 8, the degrees of freedom for the t-distribution will be 7. Using a t-distribution table or calculator, we can find the t-value for a 99.5% confidence interval with 7 degrees of freedom to be 4.785.

The margin of error for the mean is:

$ME=t_{\alpha/2}\frac{s}{\sqrt{n}}=4.785\frac{1.355}{\sqrt{8}}\approx 3.08$

Therefore, the 99.5% confidence interval for the mean amount of sleep is:

$\bar{x}\pm ME=7.875\pm 3.08=(4.79,11.96)$

Rounded to at least two decimal places, the confidence interval is (4.79, 11.96).

Given :-

5 years ago, Ram's mother was five times his age

Ram's Mother is now thrice as old as him.

To find :-

Present age of Ram

Present age of Ram's mother

Solution :-

Let the present age of Ram be x years

Let the present age of Ram's mother be y years.

As per the first condition,

5 years ago, Ram's mother was five times his age

5 years ago,

Ram's age = x - 5

Mother's age = y - 5

Let's represent the first condition mathematically to get our first equation.

y - 5 = 5 ( x - 5)

y - 5 = 5x - 25

5x - 25 = y - 5

5x - y = - 5 + 25

5x - y = 20 -----> 1

As per the second condition,

If his mother is now thrice as old as him

Ram's age = 3x

Mother's age = y

Let's represent this too mathematically. Here we will get just the value of one of the variables, either x or y.

y = 3x

Substitute, y = 3x in equation 1,

5x - y = 20 ----> 1

Plug in the value of y,

5x - 3x = 20

2x = 20

x = \(\frac{20}2}\)

x = 10

Present age of Ram = x = 10 years

Substitute, x = 10 in equation 1,

5x - y = 20 ---> 1

5 ( 10 ) - y = 20

50 - y = 20

- y = 20 - 50

- y = - 30

[canceling minus from both sides]

y = 30

Present age of Mother = y = 30 years

•°• Present age of Ram = 10 years.

For first case :-

5 years ago, Ram's mother was five times his age

Present age of Ram = 10 years

5 years ago,

Ram's age = 10 - 5 = 5 years

Present age of Mother = 30 years

5 years ago,

Mother's age = 30 - 5 = 25 years

Let's check if the ages satisfies the first condition,

Mother's age = 5 ( Ram's age )

25 = 5 ( 5 )

25 = 25

LHS = RHS.

For second case :-

His mother is now thrice as old as him

Mother's age = 30 years

Ram's age = 10 years

Let's check whether the second condition is satisfied or not.

Mother = 3 ( Ram's age)

30 = 3 ( 10)

30 = 30

LHS = RHS.

Hence the answer is verified.