You have a 6oz container and a 10oz container and a spout with unlimited water how do you measure exactly 8oz

The value of x by using the addition postulate of an acute angle is 36.

Acute angles are those between 0 and 90 degrees, and those angles are less than 90 degrees. When two rays intersect at a vertex, an angle is created.

An acute angle is one that is smaller than 90 degrees in length and has all internal angles that are less than 90 degrees.

Here, we have an acute angle NCQ that is 70 degrees. Using the addition postulate to determine the value of x, we have:

x + 34 = 70

x = 70 + (-34)

x = 70 - 34

x = 36

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Answer:

A. First, outer, inner, last.

Step-by-step explanation:

D. The length is 18 inches and the width is 9 inch

What is a scale factor?

A scale factor resembles a unit scale in several ways. It is a ratio that assesses the relationship between scale and real dimensions. Because it doesn't provide any specified units, it differs.

It is given that the scale factor of the gardener is 1:15.

The dimensions of his drawing are 6 inches long by 3 inches wide.

Therefore the original dimensions are 6*15= 90 inches.

3*15= 45 inches.

The scale of his partner is 1:5.

So, we have to divide the original dimensions by 5.

The dimensions of the scale drawing are 90/5= 18 inches long

45/5=9 inches wide.

Therefore length is 18 inches and the width is 9 inches.

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The percent error in a measure is given by the formula:

P = 100%*|real value - measure|/real value

Here we know that:

real value = 20.8 cm

measure = 20cm

Replacing that in the formula we will get:

P = 100%*|20.8 cm - 20cm|/20.8cm = 3.8%

That is the percent error.

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Complete question:

Jayden measured a pen to be 20 cm long the actual length of the pen is 20.8 cm, then what is the percentage error?.

Answer:

hope this helps!! <3

Step-by-step explanation:

A fraction is represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Answer:

Step-by-step explanation:

Top problem:

A = πr² = (22/7)(21)² = 1386 ft²

Bottom problem:

r = D/2 = 20/2 = 10 in

A = (22/7)(10)² = 314 in²

They walked 12.3 miles on first day and 8.2 miles on second day. The solution has been obtained by using linear equation.

What is a linear equation?

The linear equation with this degree of one is the largest. This shows that linear equations with exponents greater than one have no variables. Such an equation gives rise to a straight line on the graph.

We are given that a group of hikers walked from Hawk Mt. Shelter to Blood Mt. Shelter along the Appalachian Trail, a total distance of 20.5 mi which took them 2 days.

Let the distance traveled on first day be 'x'.

Since, on the second day, the hikers walked 4.1 mi less than they did on the first day so,

Distance traveled on second day = (x - 4.1)

From this, we get a linear equation as

⇒x + (x - 4.1) = 20.5

⇒2x - 4.1 = 20.5

⇒2x = 24.6

⇒x = 12.3

So, (x - 4.1) = 12.3 - 4.1 = 8.2 miles

Hence, they walked 12.3 miles on first day and 8.2 miles on second day.

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Answer:

4cm

Step-by-step explanation:

∵∆DEF ~ ∆ABC，AB/AC =2/3，

∴DE/DF=2/3.

∵DF=6cm，

∴DE=6*2/3=4cm.

By making linear equation for given graph, slope of line will be 9.75 which is the amount she makes in an hour i.e. E.

What exactly is a linear equation?

The equation is referred to as linear when a variable's maximum power is 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. This equation has three variables: x, A, and B. A is a coefficient. A linear equation in which there are only two variables typically takes the form Ax + By = C. In addition to the constant C, there are three other constants: the variables x and y, the coefficients A and B, and the variables.

Now,

As given she has a debt of $25 that will be y-intercept.

and as we can see from graph she earns $39 in 4 hours that means $9.75 in an hour which will be slope of line also, then the line will be represented as

y=9.75x-25  where x=hours worked and y=amount earned

hence,

         slope of line will be 9.75 which is the amount she makes in an hour.

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Rate of change of Panting A over a year period

Rate of change of Panting B over a year period

Painting B increases more quickly

Rate of change of Panting A over a year period, using the function f(x)=30,000(1.068)^x

at x = 0, f(x) = 30,000

at x = 1, f(x) = 32,040

rate of change = (30 000 - 32 000) / (0 - 1) = -2000 / -1 = 2000

Rate of change of painting B over a year period

= (25 - 27.5) * 1000 / (0 - 1)

= -2.5 * 1000 / -1

= 2500

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The probability that exactly 16 people out of 25 favor the new building project is 0.1285.

The probability that at most 16 people out of 25 favor the new building project is 0.3528.

The probability that between 12 and 19 (including 12 and 19) people out of 25 favor the new building project is 0.9088.

A binomial distribution is a probability distribution that describes the number of successes in a fixed number of trials, where each trial has two possible outcomes (success or failure) and the trials are independent.

The distribution of x, the number of people who favor the new building project when 25 people are chosen at random, can be modeled using a binomial distribution.

In this case, the probability of success (favoring the new building project) is 0.61, and the probability of failure (not favoring the project) is 0.39. The number of trials is 25, since we are choosing 25 people at random.

Thus, we can write x ~ Bin(25, 0.61), which means that x follows a binomial distribution with 25 trials and a probability of success of 0.61.

To find the probability that exactly 16 people out of 25 favor the new building project, we can use the binomial probability formula:

[tex]P(X = k) = (^n_k) * p^k * (1 - p)^{n - k}[/tex]

where X is the random variable (in this case, the number of people who favor the project), k is the number of successes we are interested in (in this case, 16), n is the number of trials (25), p is the probability of success (0.61), and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes out of n trials.

Plugging in the values, we get:

P(X = 16) = (25 choose 16) * 0.61¹⁶ * 0.39⁹ = 0.1285

Therefore, the probability that exactly 16 people out of 25 favor the new building project is 0.1285.

To find the probability that at least 16 people out of 25 favor the new building project, we need to add up the probabilities of all the events where the number of successes is 16 or greater. We can do this using the cumulative distribution function (CDF) of the binomial distribution, which gives us the probability of X being less than or equal to a certain value.

Using a calculator or a table, we can find that P(X ≥ 16) = 0.3528.

Therefore, the probability that at least 16 people out of 25 favor the new building project is 0.3528.

To find the probability that at most 16 people out of 25 favor the new building project, we can use the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of its complement (the event not occurring). In this case, the complement event is the number of people who favor the project being greater than 16.

Using the same CDF, we can find that P(X > 16) = 0.6472. Therefore,

P(X ≤ 16) = 1 - P(X > 16) = 1 - 0.6472 = 0.3528

We can do this using the binomial probability formula for each possible value of k, and then summing the results.

P(12 ≤ X ≤ 19) = P(X = 12) + P(X = 13) + ... + P(X = 19)

Using a calculator or a table, we can find the probabilities for each value of k, and then add them up:

P(12 ≤ X ≤ 19) = 0.0309 + 0.0746 + 0.1322 + 0.1821 + 0.2001 + 0.1821 + 0.1322 + 0.0746 = 0.9088

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Answer:

A' (2, - 1 )

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A (- 2, 1 ) → A' (-(- 2), - 1) → A' (2, - 1 )

The answer is c. Statistic because the value is a numerical measurement describing a characteristic of a sample.

A statistic is a value that summarizes a characteristic of a sample. In this case, the percentage of employees in the sample who own a television (45%) is a statistic because it summarizes a characteristic of the sample of employees that was selected. A parameter, on the other hand, is a value that summarizes a characteristic of a population. For example, if we were to consider the percentage of all employees in the company who own a television, then the mean or median percentage of television ownership would be a parameter because it would describe a characteristic of the entire population of employees. In summary, statistics are values that describe a characteristic of a sample, while parameters are values that describe a characteristic of a population.

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The value of x and y is -2 and 5

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.

Using elimination method

y =−4x−3 equation 1

y=−2x + 1 equation 2

subtract equation 1 from 2

0 = 2x +4

collect like terms

2x = -4

x= -4/2

x = -2

substitute -2 for x in equation 1

y = -4(-2)-3

y = 8 -3

y = 5

therefore the value of x and y are -2 and 5 respectively.

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If a 12-ft-by-15-gt rectangular swimming pool has a 3-ft-wide no-slip surface around it. The outer perimeter of the no-slip surface around the rectangular swimming pool is 78 feet.

The key idea in this problem is to recognize that the no-slip surface around the pool consists of a rectangular strip of uniform width that runs parallel to the edges of the pool. To find the outer perimeter of this strip, we need to add up the lengths of all four sides of the rectangle formed by the outermost edges of the no-slip surface.

Let's start by finding the length of the no-slip surface that runs along the length of the pool. Since the pool is 12 feet long and the no-slip surface extends 3 feet beyond each end of the pool, the total length of the no-slip surface is:

12 + 2(3) = 18 feet

The "2(3)" term in this equation represents the 3-foot-wide extension on each end of the pool. Next, we need to find the length of the no-slip surface that runs along the width of the pool. Since the pool is 15 feet wide and the no-slip surface extends 3 feet beyond each side of the pool, the total width of the no-slip surface is:

15 + 2(3) = 21 feet

Now we have the lengths of the two parallel sides of the rectangle formed by the outermost edges of the no-slip surface. To find the lengths of the other two sides, we simply add up the lengths of the corresponding sides of the pool.

Therefore, the length of the rectangle is 12 + 2(3) = 18 feet, and the width of the rectangle is 15 + 2(3) = 21 feet.

Finally, we can add up the lengths of all four sides of the rectangle to find the outer perimeter of the no-slip surface:

2(18) + 2(21) = 36 + 42 = 78 feet.

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With the help of given table of data of travelling time to work for 50 people, the estimated mean travelling time is 24.8 minutes.

To estimate the mean travelling time from the given frequency table, we can use the midpoint method, where we calculate the midpoint of each class interval and multiply it by the frequency of that interval. We then sum up the products and divide by the total frequency to get the estimate of the mean travelling time. The midpoint of each interval can be calculated as the average of the lower and upper bounds of the interval. Using this method, we get:

Class interval 0 < t < 10 | 10 < t < 20 |  20 < t < 30 | 30 < t < 40 |  40 < t < 50

Midpoint (m)    5                     15               25                 35                  45

Frequency (f)    5                    15               13                  10                   7

Midpoint x Frequency 25      225            325               350               315

Total | | 50 | 1240

To estimate the mean travelling time, we can now calculate the sum of the products of the midpoint and frequency for each interval, which is 1240. We then divide this by the total frequency, which is 50. Therefore, the estimate of the mean travelling time for these 50 people is: Mean  travelling time = Sum of (midpoint x frequency) / Total frequency

Mean travelling time = 1240 / 50 = 24.8

Thus, the estimated mean travelling time is 24.8 minutes.

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Complete Question

The table shows the travelling time to work of 50 people.

-Travelling time (t)  in minutes- -Frequency-

0 <t<10                                           5

10 < t < 20                                     15  

20 < t < 30                                    13

30 < t < 40                                    10

40 < t < 50                                    7

Calculate an estimate of the mean travelling time

The denominator 6 in 3/6 is should not be changed when adding fractions if other fractions have a denominator of 6, to make the addition easy because 6 will be the lowest common multiple.

One of the reasons why the denominator will always stay the same when adding fraction is because the size of the equal pieces does not change when you combine the two fractions together.

For example say you want to add 3/6 + 1/6 + 2/6,

you will notice that all the fractions have equal denominator, so adding the fractions together will have the following result.

3/6 + 1/6 + 2/6 = (3 + 1 + 2 ) / 6

= 6/6

= 1

So the 6 in 3/6 should not be changed if all other fractions you wish to add to 3/6 have 6 as their denominator, because the 6 is lowest common multiple.

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The inequality that represents the cost c per 14 squares for a new carpet with a budget of $700 is: c ≤ 700/14 = 50 Therefore, the answer is:

The inequality is c ≤ 50.

Assuming that the price of the carpet is constant per square foot, we can write the following inequality to represent the cost c per 14 squares:

c/14 ≤ 700

This inequality states that the cost per 14 square feet (c/14) cannot exceed $700, which is the total amount of money available to purchase the carpet.

To write an inequality representing the cost of a new carpet per 14 square feet, we need to first define the cost per square foot. Let's say the cost per square foot is $x. Then, the cost of the carpet for 14 square feet would be 14x.

Since we have a budget of $700, we can write the inequality:

14x ≤ 700

This inequality represents that the cost of the carpet for 14 square feet should be less than or equal to $700. We can solve for x by dividing both sides by 14:

x ≤ 50

This means that the cost per square foot of the carpet should be less than or equal to $50 for it to fit within the budget of $700.

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Explanation:

The left-most digits are more significant than digits on the right.

For example, in the very large number 1,234,567 the "1" and "2" are more important than the "6" and "7". We focus on the more important digits when rounding. This would mean 1,234,567 rounds to 1,200,000 = 1.2 million = 1.2*10^6

Going back to 3.162, we have "3" and "1" as the left-most digits. We'll bump 3.1 up to 3.2 because of the digit 6 fits the criteria of "5 or larger".

Put another way: 3.162 is closer to 3.2 than it is to 3.1

This is why 3.2 is the final answer.

We can draw the conclusion that Sadio and Amir's methods for solving the equation are both valid.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

Equation: A declaration that two expressions with variables or integers are equal.

In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

So, as we have the equation:

12x + 3 = 3(5x + 9)

Now, as we can see, Sadio took out 3 as common from LHS and RHS and solved the equation.

Which gave her the value of x as -8.

Amir, on the other hand, did not take out anything as common and directly multiply 3 with other terms in the brackets to solve the equation.

He also got -8 as the value of x.

Hence, we can conclude that yes both the ways of solving the equation is correct which is done by Sadio and Amir.

Therefore, we can draw the conclusion that Sadio and Amir's methods for solving the equation are both valid.

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have a good day ;)

Answer:

2500,500,100, 20, 4, 0.8

Step-by-step explanation:

dividing by 5 every term.

2500/ 5 = 500

500/ 5 = 100

100/ 5 = 20

20/5 = 4

4/5 = 0.8

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{135\% of 160}}{\left( \cfrac{135}{100} \right)160}\implies \text{\LARGE 216}[/tex]

The number of each type of berry that she can put in her salad would include the following:

Blueberry = 4

Blueberry = 4Strawberry = 10

Blueberry = 4Strawberry = 10Raspberry = 13

The salad that was prepared by Sloan contains the following berries:

Ratio of Blueberry to strawberries = 2:5

The ratio of blueberry and others = 4:23

Therefore,

Since every 2 blueberry = 5 strawberry, 4 blueberry = 10 strawberry.

The quantity of raspberry = 23-10 = 13

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Answer:

4x - 5y - z

Step-by-step explanation:

3x − 4y + z − 2z + x − y

Add like terms

= 4x - 5y - z

Answer: 4x-5y-z

Step-by-step explanation: 3x + x -4y-y -2z + z

It becomes a lot easier to simplify if you reorganize the equation so that the same variables are next to each other

The 35.99-carat diamond weighs approximately 7.198 grams (0.254 ounces).

We can use the conversion factor of 1 carat = 0.2 g to convert carats to grams.

Diamond weight in grams: 35.99 carats x 0.2 g/carat = 7.198 g (rounded to three decimal places)

We can use the conversion factor of 1 ounce = 28.3495 g to convert the weight in grams to ounces.

Diamond weight in ounces: 7.198 g / 28.3495 g/o z = 0.254 o z (rounded to three decimal places)

Carats are now commonly used to measure the weight of gemstones, including diamonds, and are abbreviated as "ct." A 1-carat diamond, for example, weighs 0.2 grams while a 2-carat diamond weighs 0.4 grams.

As a result, the 35.99-carat diamond weighs approximately 7.198 grams (0.254 ounces).

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Using the unit conversions, the height of the tree in yards is 126.33 yd

Let h be the height of the tree.

It is given that the Height of the tree is 379 feet and we need to find the height of the tree in yards.

From the given statement, Hyperion is the tallest tree in the park, with a height of approximately 379 feet,

We need to convert the height of the tree from feet to yards. So, We divide the height of the tree by three for the yard.

So, for one foot: h = (1/3) yd

For, 379 feet: h = 379/3 yd

                         = 126.33 yd

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No, if the figures on the left side of the area model were changed to 20, 10, and 5, the product would retain the same.

Area model multiplication is what?

The area model approach is based on the straightforward equation that may be used to calculate the area of a rectangle: LxW=A. As this anchor chart from Primary Punch illustrates, students typically begin by learning basic arrays for one-digit multiplication. When we multiply each digit of one number by each digit of another number while maintaining the place value of each digit, the resulting numbers are called partial products.

According to the supplied query,

30 and 5 on the left side of the area model are altered to 20,10, and 5 

Thus, after multiplying partial products, we obtain:

First row = 20×100+20×20+8×20

               = 2000+400+160 = 2560

Second row = 10×100+10×20+10×8

                     = 1000+200+80 = 1280

Third row = 5×100+5×20+5×8

                = 500+100+40 = 640

Adding all the rows we get,

2560+1280+640 = 4480

The item we receive when the dimensions are 30 and 5 is the same as this. In each instance, the area product stays the same.

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The man can wear 15 different outfit combinations by mixing and matching his six different sport shirts and four different pairs of slacks.

Combination is a way of counting the number of different groups of items that can be selected from a larger set without regard to the order in which they are selected.

In this case, the man has six different sport shirts and four different pairs of slacks, and he wants to know how many different outfit combinations he can wear. We can use the formula for combinations to calculate the number of possibilities.

The formula for combinations is:

ⁿCₓ = n! / (x! * (n - x)!)

Where n is the total number of items, x is the number of items being selected, and the exclamation mark (!) represents the factorial of a number (i.e., the product of all positive integers up to that number).

Using this formula, we can calculate the number of different combinations the man can wear as follows:

Number of sport shirts (n) = 6

Number of slacks (x) = 4

Number of combinations = ⁶C₄ = 6! / (4! * (6 - 4)!)

= (6 * 5 * 4 * 3 * 2 * 1) / [(4 * 3 * 2 * 1) * (2 * 1)]

= 15

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Answer:

40

Step-by-step explanation:

x is being multiplied by 8 to get y

so 5 x 8 = 40