Sue earns $15.00 for each catering job she gets, plus and additional 5 dollars for each hours she works

Step-by-step explanation:

An adult ticket will be x.

Each adult ticket costs 15 dollars, so 15x

A child ticket will be y.

Each child ticket costs 3 dollars, so 3y

334 tickets were sold, totaling 3342 dollars.

15x + 3y = 3342 dollars in total.

Unknown number of adult tickets plus unknown number of child tickets equals to 334, so:

x number of adult tickets + y number of child tickets = 334 tickets in total.

x + y = 334

There are two equations in a system.

Use substitution:

x + y = 334

y = 334 - x

And plug it into other equation:

15x + 3(334 - x) = 3342

Solve for x since the question only asked for total number of adult tickets sold at theater (remember x is the number of adult tickets)

15x + (1002 - 3x) = 3342

15x + 1002 - 3x = 3342

Bring all x variables to one side and constants to other side:

15x - 3x = 3342 - 1002

12x = 2340

Divide both sides by 12:

x = 195

With that answer, we can conclude that 195 adult tickets were sold at the theater last night!

ANSWER: 195

There are approximately 11.25 cups of granulated sugar in a 5 pound bag.

To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.

First, we multiply the number of pounds (5) by the conversion factor:

5 pounds * 2.25 cups/pound = 11.25 cups

Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.

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Answer:

x = -9

Step-by-step explanation:

4x+10=-26

Subtract 10 from each side

4x+10-10=-26-10

4x = -36

Divide each side by 4

4x/4 = -36/4

x = -9

The pages left to read by Billy is more than 48. For given situation inequality is p+27>75

No, they does not mean same. By inequality it means the term may be greater or smaller. Equality refers almost equal.

Inequality is a relationship between two expressions or values that is not equal to each other.An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

p+27>75

p>75-27=48

p>48

The pages left to read by Billy is more than 48.

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The pages left to read by Billy is more than 48. For given situation inequality is p+27>75

Is equality or inequality means same?

No, equality and inequality are not the same. Equality is the state of being equal, especially in status, rights, and opportunities. Inequality is the state of being unequal in status, rights, or opportunities. Equality means that everyone is equal and should be treated the same regardless of their background, gender, race, or any other factor. Inequality, on the other hand, means that there are discrepancies between people based on these factors. Equality promotes fairness, while inequality allows for people to be treated differently and in some cases unfairly. Equality and inequality are not the same and should not be confused. Equality is about treating everyone equally, while inequality is about disparities between people.

Define inequality.

Inequality is a relationship between two expressions or values that is not equal to each other. An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

p+27>75
p>75-27=48
p>48
The pages left to read by Billy is more than 48.

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If a section of a highway is constructed with a 23% grade, the angle that the highway will make with a horizontal line will be: 13°.

Using the SOH CAH TOA formula, the angle that the highway will make with the horizontal line can be gotten by finding the tangent which is the

vertical/horizontal

Horizontal = 100 ft

Angle of inclination = 0.23

For the 23% grade, we will have

tan⁻1 of 0.23 = 12.9527°

= 13.0°

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Answer:

x = y + 6z

Step-by-step explanation:

Answer:

Tuesday=81

Step-by-step explanation:

since 4 x 9 = 36, you have to multiply 9 x 9, which equals 81.

for Wednesday, 4 x 11 = 44, so you have to multiply 9 x 11, which = 99.

for the chart, do something like the photo i am showing for Tuesday (i already made it)

Answer:

Step-by-step explanation:

\(A=\frac{\theta}{360} \pi r^2\)

   \(=\frac{103}{360} \times\pi \times 5.75^2\)

  \(=29.718mm^2\)

Answer:

Yes, It is letter R, on the y axis, and the angle is 90 degrees.

Good Luck on 7th grade math. Hope this helps! :)

By solving a system of two simultaneous linear equations, it can be calculated that

Dan and Camille spent $150 altogether

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here a system of two simultaneous linear equations needs to be solved

Let Dan had $x and Camille had $y

Both cards combined hava a balance of $350

x + y = 350 ..... (1)

Amount of money Dan spent = $\(\frac{x}{2}\)

Amount of money Dan left with = $(\(x - \frac{x}{2}\)) = $\(\frac{x}{2}\)

Amount of money Camille spent = $\(\frac{y}{3}\)

Amount of money Camile left with = $\((y - \frac{y}{3})\) = $\(\frac{2y}{3}\)

By the problem,

\(\frac{x}{2} = \frac{2y}{3}\)

3x = 4y

3x - 4y = 0 .... (2)

Multiplying (1) by 4

4x + 4y = 1400 ..... (3)

Adding (1) and (3)

7x = 1400

\(x = \frac{1400}{7}\)

x = $200

Putting the value of x in (1)

200 + y = 350

y = 350 - 200

y = $150

Amount of money Dan spent = $\(\frac{1}{2}\times 200\) = $100

Amount of money Camille spent = $\(\frac{1}{3} \times 150\) = $50

Total money spent altogether  = $(100 + 50) =$150

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Answer:

Maths

Step-by-step explanation:

Find percentages of her score

14/17 = 0.82 so she scored 82%

31/39=0.79 so she scored 79% in english

math

Step-by-step explanation:

14/17 can be multplied by 39 and turned into 546/663

31/39 can be mutiplied by 17 and turned into 527/663

546/663>527/663

Arthur Schlesinger Jr. introduced the term "judicial activism" in a January 1947 Fortune magazine article titled "The Supreme Court: 1947".

What is judicial activism?

Judicial activism is a judicial philosophy that is sometimes referred to as "legislating from the bench". It is an exercise of judicial review and generally refers to the willingness of a judge to strike down legislative or executive actions regarding constitutional issues. Judicial restraint is generally thought of as the opposite of judicial activism.[1]

Earlier in the january of 1947 ,Arthur Schlesinger Jr. introduced the term "judicial activism" .An article by Keenan Kmiec says that in its early usage, it was sometimes used with a positive connotation akin to the term "civil rights activist".

Thus , Arthur Schlesinger Jr. introduced the term "judicial activism" in a January 1947 Fortune magazine article titled "The Supreme Court: 1947".

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It will take approximately 138 months or 11 years and 6 months for the tithe to double in value if invested at 7.75% APR compounded monthly.

To solve this problem, we can use the Time Value of Money (TVM) Solver function in Excel or a financial calculator.

The TVM Solver helps to calculate the time required to double the initial amount invested, given the interest rate, compounding frequency, and the present value of the investment.

Using the TVM Solver, we can enter the following values:

Number of Periods (N) = the time required to double the initial investment

Solving for N, we get:

N = 138.24 months

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The area and perimeter of a polygon with vertices (1,-2) , (1,5) , (7,-2)

A=23.27644 units^2

Let

A= (1,-2) ,

B=(1,5) ,

C=(7,-2)

Therefore, the equation for distance is  mathematically given as

d=\sqrt {(x^2-x^1)^2+(y^2-y^1)^2}

Therefore For AB

\(d=\sqrt {(-2-1)^2+(5-1)^2}\)

d=5

For BC

\(d=\sqrt {(5-1)^2+(-2-7)^2}\)

d=9.84

for CA

\(\sqrt {(5-1)^2+(-2-7)^2}\)

9.486

Hence, Perimeter

P=9.486+9.84 +5

P=24.326

In conclusion, the Area of a triangle

A = √s(s−a)(s−b)

Where

s=24.326/2

Therefore

\(A=\sqrt{24.326/2((24.326/2)-5)((24.326/2)-9.486 )((24.326/2)-9.84 )}\)

A=23.27644 units^2

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The page number on the right hand side is 73.

What is a Quadratic Equation?

A quadratic equation in x is any equation of the type ax2 + bx + c = 0, where a, b, and c are coefficients and a = 0.

Solution:

Let, the number of the page on the left hand side be x

So, the number on the right hand side of the book will be (x + 1)

According to the Question,

(x)(x + 1) = 6162

\(x^{2} + x = 6162\)

x = 72 and - 79

Since, the page of book can not be negative

Therefore, the page on the left hand side is 72

This implies that the page on the right hand side is 73.

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Answer:

Starting number= 120

Step-by-step explanation:

Giving the following information:

After selling 65% of her lacrosse sticks, she has 42 sticks left.

To calculate the starting number of lacrosse sticks, we need to use the following formula:

Starting number= sticks left / proportion of sticks on stock

Starting number= 42 / 0.35

Starting number= 120

Answer:

n < - 3 or n > - 2

Step-by-step explanation:

Inequalities of the type | x | > a , have solutions of the form

x < - a or x > a

Then

2n + 5 < - 1 or 2n + 5 > 1

Solve both inequalities

2n + 5 < - 1 ( subtract 5 from both sides )

2n < - 6 ( divide both sides by 2 )

n < - 3

OR

2n + 5 > 1 ( subtract 5 from both sides )

2n > - 4 ( divide both sides by 2 )

n > - 2

Solution is n < - 3 or n > - 2

The inequality for Graph 1 is y > -1x - 8.

The inequality for Graph 2 is y > (1/3)x - 2.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

We will pick two coordinates from each graph.

Graph 1.

(0, -8) and (-8, 0)

The equation of the graph y = mx + c

m = (0 - (-8)/(-8 - 0) = 8/-8 = -1

(0, - 8) = (x, y)

-8 = -1 x 0 + c

c = -8

y = -1x - 8

The inequality is y > -1x - 8.

Graph 2.

(6, 0) and (0, -2)

The equation of the graph y = mx + c

m = (-2 - 0)/(0 - 6) = -2/-6 = 1/3

(6, 0) = (x, y)

0 = (1/3) x 6 + c

0 = 2 + c

c = -2

y = (1/3)x - 2

The inequality is y > (1/3)x - 2

Thus,

Graph 1 inequality is y > -1x - 8.

Graph 2 inequality is y > (1/3)x - 2.

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an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches

1. Add the two amounts of rainfall together: 2.45 + 1.72

2. Round the answer to the nearest inch: 4.2 inches

3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.

This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.

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Answer:

The number in the middle is 60.

Step-by-step explanation:

The 2nd number = A

The 3rd number = B

The 4th number = C

Given:

(1) 130 + A + B = 300

(2) A + B + C = 200

(3) B + C + 10 = 100

Now, the work:

(2) can be modified to become A + B = 200 - C

Now, we can insert that into (1) and get the following;

130 + (200 - C) = 300

Open parentheses, simplify, you get C = 330 - 300.

C = 30

Using (3), we use above answer to get B + 30 + 10 = 100

Calculate, and get B = 100 - (30 + 10)

Simplify,

B = 60

There is your answer!

Cheers

The correct answer is a. H0: u≥2 hours and H1:u<2 hours. When testing a right-tailed hypothesis using a significance level of 0.025, a sample size of n=13, and with the population standard deviation unknown, the critical value is as follows:

To determine the critical value, we need to use the t-distribution since the population standard deviation is unknown.

Using a t-distribution table or calculator with 12 degrees of freedom (n-1), a one-tailed test, and a significance level of 0.025, the critical value is 2.1604.

If the test statistic is greater than or equal to this value, we can reject the null hypothesis in favor of the alternative hypothesis, which is a right-tailed hypothesis.

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Answer:

48,384

Step-by-step explanation:

5xy.y2+36z

the variables are given to you.

5.1/4.8.8.2.36.2/3=

5.1=5.25

5.25.8=42

(assuming your doing multiplication and not factoring)

Answer:

1.774 standard deviations

Step-by-step explanation:

From the data, the minimum value is x = 13 and the maximum value is x' = 18. The mean X = 15.75 and the standard deviation, σ = 1.55.

The difference between the mean and the minimum value is the deviation from the mean. So, X - x = 15.75 - 13 = 2.75. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.

So, 2.75/1.55 = 1.774.

So, the number of standard deviations to contain the value 13 is 1.774σ

Also, the difference between the maximum value and the mean is the deviation from the mean. So, x' - X = 18 - 15.75 = 2.25. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.

So, 2.25/1.55 = 1.452.

So, the number of standard deviations to contain the value 18 is 1.452σ

Since 1.774σ > 1.452σ and 1.774σ would contain both the values of 13 and 18, the number of standard deviations from the mean required to contain the values is  1.774 standard deviations.

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

x=70

Step-by-step explanation:

The value of x is 70 because this triangle is isosceles, meaning that there are two congruent sides and two congruent angles (which are the base angles). x is one of the base angles, 70º is the other base angle's measurement, so x=70.

1. the mechanical advantage of the rake is 0.5. 2. the efficiency of the blade adjuster is approximately 92.73%.

1. The mechanical advantage of a simple machine is determined by the ratio of the output force to the input force. In this case, the woman applies an input force of 32 N to the rake, and the rake exerts an output force of 16 N.

The mechanical advantage (MA) can be calculated as MA = Output Force / Input Force.

Using the given values, we can substitute them into the formula:

MA = 16 N / 32 N = 0.5.

Therefore, the mechanical advantage of the rake is 0.5.

Explanation:

The mechanical advantage represents the amplification of force achieved by using a machine. In this case, the mechanical advantage of 0.5 means that the rake reduces the input force by half to produce the output force. It indicates that for every 1 unit of input force applied by the woman, the rake generates 0.5 units of output force.

2. Efficiency is a measure of how effectively a machine converts input work to output work. It is calculated as the ratio of output work to input work, expressed as a percentage.

The efficiency (η) can be calculated using the formula: Efficiency = (Output Work / Input Work) * 100%.

Given that the input work is 55 J and the output work is 51 J, we can substitute these values into the formula:

Efficiency = (51 J / 55 J) * 100% ≈ 92.73%.

Therefore, the efficiency of the blade adjuster is approximately 92.73%.

Explanation:

Efficiency quantifies the effectiveness of a machine in converting the input energy into useful output energy. In this case, the blade adjuster converts 51 J of input work into 51 J of output work. The efficiency of approximately 92.73% indicates that the blade adjuster is relatively efficient, as a high percentage of the input work is effectively converted into useful output work.

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well, there are 125 degrees for sure.

now, let's look at the 0.67 part, we know that a degree has 60 minutes, so 0.67 of a degree is just (0.67)(60) = 40.2 minutes, let's use the 40 minutes part and get the seconds from the 0.2 part.

we also know that a minute has 60 seconds, so 0.2 of a minute is just (0.2)(60) = 12 seconds.

The measure of 125.67° in degree, minute, and second measure is 125° 40' 12''.

To convert from decimal degrees to degree, minute, and second measure, you can follow these steps:
1. The whole number part of the decimal degree is the degree measure. In this case, 125.67° has a degree measure of 125°.
2. Multiply the decimal part of the decimal degree by 60 to find the minute measure. In this case, 0.67 × 60 = 40.2, so the minute measure is 40'.
3. Multiply the decimal part of the minute measure by 60 to find the second measure. In this case, 0.2 × 60 = 12, so the second measure is 12''.

So, the final result is 125° 40' 12''.

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Answer:

8 y^ 4 + 25 y^ 3 + 60 y^ 2 + 10y + 7

Hope this helps!

Answer:

8 y^ 4 + 25 y^ 3 + 60 y^ 2 + 10y + 7

Step-by-step explanation:

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