For number 8 find the value of each variable using the properties of a parallelogram

There are 50 calories per cup of popcorn and 16 per ounce of soda.

A solution to an equation is a number that can be substituted for the variable to provide a true number statement.

Let's represent x be the number of calories per cup of popcorn

And let's represent y be the number of calories per ounce of soda.

The two equations are based on the given details:

2x + 7y = 212 ....(i)

1x + 11y = 226 ....(ii)

From equation (ii), we have

x + 11y = 226

x = 226 - 11y

Substitute the value of x = 226 - 11y in equation (i), and solve for y:

y = 16

Substitute the value of y = 16 in equation (ii), and we get

x = 50

Thus, the number of calories per cup of popcorn is 50 and the number of calories per ounce of soda is 16.

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Answer:

What is the distance between the two control stations on the earth's surface?

To find the distance between the two control stations, we can use the law of cosines. Let's call the distance between the control stations "d". Then, using the information that the angle of separation between the two stations is 10°:

d^2 = 2 * 3963^2 - 2 * 3963^2 * cos(10°)

d = sqrt(2 * 3963^2 - 2 * 3963^2 * cos(10°))

Using a calculator, we find that d = approximately 5657 miles. Rounding to the nearest whole number, the distance between the two control stations is 5657 miles.

What is the height of the satellite above the surface of the earth?

To find the height of the satellite, we can use the law of sines. Let's call the height of the satellite "h". Then, using the information that the distance between the two control stations is d:

h / sin(10°) = d / 2

h = d / 2 * sin(10°)

Using the value of d from the previous question, and a calculator, we find that h = approximately 22,795 miles. Rounding to the nearest whole number, the height of the satellite above the surface of the earth is 22,795 miles.

Step-by-step explanation:

Our friend's mistake when wanting to make a new mixture of pink paint is that she is only going to add 2 parts of white paint, the correct formula would be 3.

Painting is the practice of applying paint, pigment, color or other medium to a solid surface.

To mix 3 gallons of pink paint we must take into account the following information:

1 gallon of pink paint is equal to 3 parts red paint and 1 part white paint.

To find out how many parts we need to prepare 3 gallons of pink paint we must multiply the mix values for a gallon by 3.

Red paint:

3 x 3 = 9

White paint:

1 x 3 = 3

Therefore, we need to use 3 parts white paint and 9 parts red paint to make 3 gallons of pink paint.

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Answer:22.5

Step-by-step explanation:

If a first time homebuyer is given the choice of two loans: loan a: 390,000, 15 year-fixed, 4 discount points. The amount the hole buyer save in total by choosing loan is:  b) 11,427.

To compare the total cost of each loan, we need to calculate the total payments made over the life of the loan.

For loan A, the monthly payment is $3,509.71 and the loan term is 15 years, so the total payments would be:

Total payments = monthly payment x number of months

Total payments = $3,509.71 x (15 x 12)

Total payments = $631 747.8

However, loan A also has a 4-point discount, which means the borrower paid 4% of the loan amount upfront to reduce the interest rate.

Discount points = loan amount x discount rate

Discount points = $390,000 x 0.04

Discount points = $15,600

To calculate the total cost of loan A, we need to add the discount points to the total payments:

Total cost of loan A = total payments + discount points

Total cost of loan A = $631 747.80 + $15,600

Total cost of loan A = $647,347.80

For loan B, the monthly payment is $3,659.86 and the loan term is 15 years, so the total payments would be:

Total payments = monthly payment x number of months

Total payments = $3,659.86 x (15 x 12)

Total payments = $658,774.5

To calculate the total cost of loan B, we simply add the total payments:

Total cost of loan B = total payments

Total cost of loan B =  $658,774.5

Therefore, the total amount saved by choosing loan A over loan B is:

Savings = total cost of loan B - total cost of loan A

Savings = $658,774.5 - $647,347.80

Savings = $11,427

Therefore, the answer is option b) $11,427.

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The sequence is an = 8(one half)n − 1, and the average rate of change from n = 1 to n = 3 is -3.

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
The sequence graphed below is a geometric sequence with the first term a1 = 8 and the common ratio r = 1/2. The sequence can be expressed as:

an = 8(1/2)^(n-1)

To find the average rate of change from n = 1 to n = 3, we need to calculate the difference between the third term and the first term, and then divide by 2 (since there are two terms between n = 1 and n = 3):

an = 8(1/2)ⁿ⁻¹

a₁ = 8(1/2)¹⁻¹ = 8

a₃ = 8(1/2)³⁻¹) = 2

Average rate of change from n = 1 to n = 3:

= (a₃ - a₁) / (3 - 1)

= (2 - 8) / 2

= -3

Therefore, the sequence is an = 8(one half)n − 1, and the average rate of change from n = 1 to n = 3 is -3.

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The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring, this statement is false.

The union of two or more sets refers to the set with all the elements belonging to each set. An element is said to be in the union if it lies to at least one of the sets.

The intersection of two or more sets refers to the set of elements universal to each set. An element is in the intersection if it occurs in all of the sets.

The event that both A and B occur is the intersection of the events A occurs and B occurs. As such, it is a subset of each and cannot, therefore, have a larger probability than either one individually.

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The number of games in the "72 or more" category is 1.

Counting of numbers is the fundamental block in mathematics usually being used is natural numbers.

So natural numbers are also called counting numbers.

Given that the categories of the scores scored by the team in each game are done into 4 categories as 51 - 57, 58 - 64, 65-71, and 72 or more.

And the scores are given as,

51, 70, 63, 59, 56, 75, 60, 55, 67, 64

Number of scores which are 72 or more = 1

Hence there is only 1 game which has the score in the category "72 or more".

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The equation of conversion between the length y inches to centimeters is y inches = 2.54y centimeters.

Both the inches and centimeters are units of length, where the inch is an ES unit and the centimeter is a CGS unit. They are connected by the relation, 1 inch equals 2.54 centimeters.

Let, the length is y inches.

It is known that 1 inch = 2.54 centimeters. So, convert the y inches to centimeters.

y inches = y×1 inch

= y×2.54 centimeters

= 2.54y centimeters

Therefore, the obtained answer is y inches = 2.54y centimeters, where y is the length of an object.

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Answer: 21.6

Step-by-step explanation:

length X height

4(5.4)=21.6

Answer: i think that its D

Step-by-step explanation:

im really sorry if its wrong

Answer:

Step-by-step explanation:

Take my answer with a grain of salt as this is an educated guess based on the problem.

The exponentiation rule for raising a power to another power (a^b)^c = a^{bc} therefore a power to a power is equal to the powers multiplied together.  so if the base is equal to (32/5) and the power is -2x. some number raised to the x is equal to (32/5)^-2x therefore because -2^x is equal to -2x the answer is B which is the original base (32/5) with the exponent -2 when raised to the x will be equal to (32/5)^-2x.

Therefore, B is the answer

The solution of the equation y = - 7x + 1 are,

⇒ (6, - 41) and (- 8, 57)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ y = - 7x + 1

Hence, Substitute the given points into equation and check the solution as;

Put (x, y) = (- 6, - 35)

⇒ y = - 7x + 1

⇒ - 35 = - 7 × - 6 + 1

⇒ - 35 ≠ 43

Thus, It is not the solution.

Put (x, y) = (4, 27)

⇒ y = - 7x + 1

⇒ 27 = - 7 × 4 + 1

⇒ 27 ≠ - 27

Thus, It is not the solution.

Put (x, y) = (6, - 41)

⇒ y = - 7x + 1

⇒ - 41 = - 7 × 6 + 1

⇒ - 41 = - 41

Thus, It is the solution.

Put (x, y) = (- 8, 57)

⇒ y = - 7x + 1

⇒ 57 = - 7 × - 8 + 1

⇒ 57 = 57

Thus, It is the solution.

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The steps for subtracting mixed numbers are the transformation of improper fractions, subtraction of denominator, then subtracting numerator, making it the smallest term, and reverse.

Finding the difference between two mixed numbers is required when subtracting mixed numbers. The steps for subtracting mixed numbers are as follows:

Step 1: Transform the mixed values into improper fractions in step 1. To achieve this, divide the total by the denominator, then add the numerator. The new numerator is the outcome, and it is positioned above the denominator.

Step 2: Identify a common denominator in step two. You must identify a common denominator to subtract fractions with various numerators.

Step 3: Subtract the fractions in step three. Subtract the numerators from the fractions while maintaining the same denominator.

Step 4: Make the outcome simpler. Simplify the outcome if you can by breaking the fraction down into its smallest terms. 13/4 in this instance may be expressed as 3 1/4.

Step 5: Reverse the incorrect fraction to a mixed number in step 5. Divide the numerator by the denominator to return the improper fraction to a mixed number. The full number serves as the numerator, and the remainder serves as the quotient.

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The question is -

How to Subtract mixed numbers?

Answer:

Bx=8

Step-by-step explanation:

U always have to remember to put a “x” or “y” next to your letter it’s important.

The specific steps for using a travel time are determining your starting point and destination, choose the mode of transportation, set any relevant parameters, review the results, adjust your plans if necessary.

Determine your starting point and destination: Enter the starting point and destination of your trip, typically using either the addresses or the names of the locations.

Choose the mode of transportation: Select the mode of transportation you plan to use for your trip, such as driving, walking, biking, or using public transit.

Set any relevant parameters: Depending on the travel time calculator you are using, there may be additional parameters you can set, such as the time of day you plan to travel or any stops you plan to make along the way.

Review the results: After entering the necessary information, the travel time calculator should provide you with an estimate of the travel time for your trip, as well as any additional information such as the distance traveled, estimated fuel cost, or suggested routes.

Adjust your plans if necessary: If the estimated travel time is longer than you expected or if there are any unexpected delays or road closures, you may need to adjust your plans accordingly.

Overall, a travel time calculator can be a useful tool for estimating travel times and planning your trip.

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Answer:

See explanation

Step-by-step explanation:

40% of the original $54 is $21.60, therefore the pants are $21.60 off of their original price. This makes the pants $32.40.

20% of the new $32.40 is $6.48, therefore the pants are $6.48 off of the 40%-off price. This makes the pants $25.92 for their final price.

Answer: x = 52 degrees

Step-by-step explanation:

90 degree - 38 degrees is 52

i hope this helped:)

A right skewed distribution means that the majority of the data falls to the left of the mean, with a long tail to the right. This can also be called a positive skew.

In this type of distribution, the median is typically less than the mean, and the mode is even smaller than the median. This type of distribution is common in data sets that have a lower bound but no upper bound, such as income or age.

The opposite of a right skewed distribution is a left skewed distribution, where the majority of the data falls to the right of the mean with a long tail to the left.

In a right-skewed distribution, the mean is typically greater than the median and the mode. This is because the mean is influenced by the values in the long tail on the right-hand side of the distribution, which pull the mean in that direction.

The median and mode, on the other hand, are less affected by the extreme values in the tail and are therefore more representative of the central tendency of the distribution.

Examples of right-skewed distributions include the distribution of income, where a few individuals have very high incomes that create a long tail on the right-hand side, and the distribution of test scores, where a few high-performing students may create a similar tail.

Right-skewed distributions are common in many natural and social phenomena, and understanding their properties is important for statistical analysis and modeling.

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Answer:

Jack has a toy poodle names Lucy. He is supposed to feed Lucy 11 ounces of dog food a day. He has s ounces of food in the bag he bought for the month. The amount of dog food left in the bag after feeding Lucy today is represented by s-11.

The length of the missing side is, 5 unit.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Two sides of a triangle are, 3 and 4.

Now, We can use the Pythagoras theorem to find the missing side of a triangle as;

Let the missing side = x

⇒ x² = 3² + 4²

⇒ x² = 9 + 16

⇒ x² = 25

⇒ x = √25

⇒ x = 5

Thus, The missing side of triangle = 5 units

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Answer: y in terms of x is y = 5x + 5.

Step-by-step explanation:

Since the graph of y^3 against x is a straight line passing through the points (1,5) and (6,15), it means that y^3 can be modeled as a linear equation in terms of x.

Let's call the slope of the line m and the y-intercept b. We can find the values of m and b using the two points (1,5) and (6,15).

Using the point-slope form of a linear equation, we can write:

y - 5 = m(x - 1)

Substituting (6,15) into the equation:

15 - 5 = m(6 - 1)

So, m = 5.

Next, we can use the slope-intercept form of a linear equation to write y in terms of x:

y = mx + b

Substituting the values of m and b:

y = 5x + 5

So, y in terms of x is y = 5x + 5.

Answer:

used to works by in BBC FDA's in BBC FDA's keep that u now u now u now how to be successful so do it.

Step-by-step explanation:

no exception

The angles m∠1and m∠2 can be classified as vertical angles, while the angles m∠3 and m∠4 is not a linear pair, neither are they vertical or adjacent angles.

Angles are classified as a linear pair if they are formed by the intersection of two lines making them a pair of adjacent angles.

Vertical angles also called vertically opposite angles are formed when two lines intersect each other, the opposite angles formed by these lines are vertically opposite angles and are equal to each other.

Two angles are said to be adjacent when they share a common vertex and one common side. Two adjacent angles sum up to 180°.

From observation, angles m∠1and m∠2 can be classified as vertical angles as they are vertically opposite each other.

But angles m∠3 and m∠4 cannot be classified as any of the three defined classes of angles.

In conclusion, angles m∠1and m∠2 are vertical angles, while the angles m∠3 and m∠4 is not a linear pair, neither are they vertical or adjacent angles.

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The solution of the given system of equations is (15, 1)

A system of equations is the set of equations in which we perform operations simultaneously to solve the equation.

Given that, is a system of equations is x+y = 16 and x-y = 14

Solving the system of equations,

Add both the equations,

(x+y = 16) + (x-y = 14)

2x = 30

x = 15

Put x = 15 in any equation to find y,

x-y = 14

y = 1

Hence, the solution of the given system of equations is (15, 1)

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The question is solved for consider the system x+y=16 x-y=14, find the solution of the system,

Answer:

Let x be the measure of the smaller angle. Then the measure of the larger angle is 3x - 12.

We can write this as an equation:

larger angle = 3 * smaller angle - 12 or 3x - 12 = larger angle.

Alternatively, we can write it as:

smaller angle + larger angle = 180 (since they form a straight line)

Substituting larger angle with 3x - 12, we get:

x + 3x - 12 = 180

Simplifying:

4x - 12 = 180

4x = 192

x = 48

Therefore, the measure of the smaller angle is 48 degrees, and the measure of the larger angle is 3(48) - 12 = 132 degrees.

The measure of the larger angle is 12 less than 3 times the measure of the smaller angle x = 48

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’ meaning “corner.”

Angles can mean is an acute angle.

Let smaller angle = x

Larger angle = 3x - 12

x & (3x - 12) are supplementary

So, x + 3x - 12 = 180°

4x - 12 = 180

4x = 180 +12

4x = 192

x = 192/4

⇒ x = 48°

Hence, the measure of the larger angle is 12 less than 3 times the measure of the smaller angle x = 48

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Yes, I agree with Andre's strategy for calculating the volume of a cylinder.

The volume of a cylinder is equal to the area of the base (which is a circle) multiplied by the cylinder's height. This formula is expressed as follows:

Volume = r2h, where r is the radius of the circular base and h is the cylinder's height.

We can use the following formula to calculate the area of the circular base:

Area = r2

So, if we multiply the area of the circular base by the cylinder's height, we get:

Volume = r2h is the formula for calculating the volume of a cylinder.

As a result, Andre's strategy of calculating the volume of a cylinder by finding the area of a circular cross section and multiplying it by the height of the cylinder is valid and correct.

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6 cmAnswer:

Step-by-step explanation:

Answer: x = 0, 2 or 3/2 (look at the image for the solution)

Step-by-step explanation:

The probability of spinning a red, then green is 1/4.

Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1. Probability is applied in many areas, including finance, statistics, weather forecasting, and gambling.

The probability of spinning a red, then green is 1/4. This is because there are four equal parts on the spinner (red, blue, yellow, and green), and spinning red first and then green means that you have a 1 out of 4 chance of getting the desired result. Therefore, the numerator is 1 and the denominator is 4.

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Answer: It is 1/16

Step-by-step explanation: It said twice so you had to multiple 8 by 2 since there are 8 possible color panels.