Mr. Price deposited $170 in his bank. The number of $5 bills was 3 times the number of
$10 bills, and the number of $1 bills was 30 more than the number of $5 bills. How many
bills of each type did he deposit?

Answer:

\(\huge\boxed{x=20}\)

\(\huge\boxed{H = 58, I = 71, J = 51}\)

Step-by-step explanation:

In order to find the measure of our angle, we have to note angle relationships.

All angles in a triangle will add up to 180°

This means all the angles in this triangle will equal 180, or:

\((4x - 9) + (3x - 2) + (3x-9) = 180\)

We can simplify this equation down to find the value of x.

Combine like terms:

\(10x - 20 = 180\)

Add 20 to both sides:

\(10x = 200\)

Divide both sides by 10:

\(x = 20\)

Now that we know the value of x, we can substitute it into the equation for each angle to find it's value.

m∠H:

\(3x-2\\3(20)-2\\60-2\\\\58\)

m∠I

\(4x-9\\4(20)-9\\80-9\\\\71\)

m∠J

\(3x-9\\3(20)-9\\60-9\\\\51\)

To further prove this is right, we would know that all the angles add up to 180°.

\(51+71+58=180\), so we should be right.

Hope this helped!

The total height of Dagne is found to be 48 inches.

In the given question.

Let 'x' be the total height of Dange.

then,

27.5% of x = 13.2

x = 13.2*100 / 27.5

x = 48 in

Thus, the total height of the Dagne is found to be 48 inches.

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Answer:

HOOO YOU SHOULD KNO THIS!!!

Step-by-step explanation:

Answer:

the answer is -2.

Step-by-step explanation:

trust me???

Answer:

24.52

Step-by-step explanation:

Answer

Step-by-step explanation:

The correct option is  B) increase.

To decrease sample error, a pollster must increase the number of respondents. The larger the sample size, the more representative it is likely to be of the target population, leading to a lower margin of error.

When conducting surveys or polls, it is essential to obtain responses from a diverse and random group of individuals. By increasing the number of respondents, the pollster can capture a broader range of perspectives, which helps to reduce sampling bias and increase the accuracy of the results.

For example, let's say a pollster wants to understand the political preferences of voters in a particular city. If they only survey 50 people, the sample may not accurately reflect the larger population, and the margin of error could be high. However, if they survey 500 or even 1000 people, the results are more likely to provide a reliable estimate of the overall population's preferences.

Therefore, to decrease sample error, pollsters should increase the number of respondents in their surveys or polls. This approach helps to ensure a more accurate representation of the population's views and minimize the potential for misleading or biased results.

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The radius of a cylinder is reduced by 4% and it's height is increased by 2% then then volume of cylinder will reduced by 2 percent.

Assume that,

Radius of cylinder = r

Height of cylinder = h

Then volume of cylinder = π r² h

Now according to the given information,

radius is reduced by 4 percent,

Then,

r' = r - 0.04r

  = 0.96r

Height of cylinder is increased by 2%

Then,

h' = h + 0.02h

   = 1.02h

Therefore,

New volume of cylinder = π(0.96r)² (1.02h)

                                        = 0.940 π r² h

Now change of volume in percentage

=  [(0.940 π r² h -  π r² h)/π r² h]x100

= -0.06x100

= -6%

Hence volume of cylinder will reduced by 2 percent.

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Answer: (1, -2)

Step-by-step explanation:

3x-4y=11

y=-3x+1

3x-4(-3x+1)=11

3x+12x-4=11

15x=15

x=1

3-4y=11

-4y=8

y=-2

Answer:

I don't think so, regular triangle sizes are 3, 4,5. If I am wrong please tell me.

Step-by-step explanation:

The equation n = 30/t is an illustration of an inverse variation

The points on the graph are: (1,30), (2,15), (3,10) and (4,7.5)

The equation is given as:

n = 30/t

When t = 1, we have:

n = 30/1

n = 30

When t = 2, we have:

n = 30/2

n = 15

When t = 3, we have:

n = 30/3

n = 10

When t = 4, we have:

n = 30/4

n = 7.5

So the points on the graph are:

(1,30), (2,15), (3,10) and (4,7.5)

See attachment for the graph of the equation n = 30/t

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Answer:

it is not c. that is what I know

Step-by-step explanation:

The length of the actual trail will be 3 and 1/2 miles. The correct option is C.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that a trail map has a scale of 3 inches to 2 miles. The length of the actual trail will be calculated as:-

3 inches = 2 miles

1 inch = 2 / 3 miles

5¹/₂ inches = 5¹/₂ x  ( 2 / 3 )miles

5¹/₂ inches = 5.2 x ( 2 / 3 )

5¹/₂ inches = 3.5 miles = ( 2¹/₂) miles

Therefore, the length of the actual trail will be 3 and 1/2 miles. The correct option is C.

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The number of sales necessary to break even, where the cost \(C\) equals the revenue \(R\), is \(x = 300\). None of the provided answer choices match the correct solution.

To find the number of sales necessary to break even, we need to set the cost equal to the revenue and solve for the value of \(x\).

The given cost function is \(C = 1000x + 75000\).

The given revenue function is \(R = 1250x\).

Setting the cost equal to the revenue:

\(1000x + 75000 = 1250x\)

Subtracting \(1000x\) from both sides:

\(75000 = 250x\)

Dividing both sides by 250:

\(300 = x\)

Therefore, the number of sales necessary to break even is \(x = 300\).

Since \(x = 300\) is not one of the provided answer choices, the correct answer is (e) None of these.

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Answer:

122ft

Step-by-step explanation:

(Note that this is just a logical guess, I do not remember learning how to do this)

We are given the length of the pole and the length of the guy wire after the pole. This gives us a right angle triangle where we know two of the sides. We can the other two sides into the Pythagorean theorem to solve for the diagonal side

recall:

\({a}^{2} + {b}^{2} = {c}^{2} \)

plugged in 12ft and 2ft we get:

\( {(12)}^{2} + {(2)}^{2} = 148\)

to solve for the diagonal side we take the square root of 148

\( \sqrt{148} = 12.17\)

so now we know that 12.17 ft of wire is equivalent to 2 feet on the ground.

\( \frac{12.17ft \: wire}{2 \: ft \: ground} \)

We have a total of 20 feet, so we multiply this proportion by 20:

\( \frac{12.17}{2} \times 20 = 121.7\)

we are asked to give to the nearest foot so we round up to 122ft

We know that:

- She has some of it complete, but the robot still needs 3 arms and 6 wheels.

- Patty has saved up $68, which is enough to buy the parts she needs.

- Arms costs $13 and wheels costs $4

We must find how much money is left after making the purchase.

To find it we must subtract the money spent on the purchase from the money saved.

- money spent:

Is the money spent when she buys the arms and the wheels

So, the money spent is equal to $63

- money saved

Is the money Patty has saved.

Patty has saved up $68.

Finally, subtracting the money spent on the purchase from the money saved

ANSWER:

After Patty buys the parts, $5 is left.

Answer: -2, 3

Step-by-step explanation:

so E is correct

The marks on the number line are used to represent the points on the number line

The point on the given diagram is on the point x = -1

The value of x is given as:

x = -1

The above equation means that, the value of x is on the -1 point of x

This in other words means that, the position of x is 1 point to the left of 0

From the diagram, the point is already on the point x = -1

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Answer:

-1 and 1 if you are using absolute value

Step-by-step explanation:

Answer:

2 possible values

Step-by-step explanation:

The given expression is:

\(\sqrt[3]{\frac{144}{y} }\)

In order for this to result in a whole number, 144/y must be a perfect cube, the possible perfect cubes (under 144) are:

1, 8, 27, 64, 125

The values of y that would result in those numbers are:

\(y=\frac{144}{1}=144 \\y=\frac{144}{8}=18 \\y=\frac{144}{27}=5.333\\y=\frac{144}{64}=2.25\\y=\frac{144}{125}=1.152\)

Only two values of y are integers, therefore, there are only two possible values of y for which the given expression results in a whole number.

Answer:it’s b

Step-by-step explanation:

Just took quiz on edge 2020

As the PCR product size was 214 then there will be 06 repeats in the products.

PCR technique used to make multiple DNA copies from a segment or small sequence of DNA that is called primer for identification or detection of the pathogen.

Given that:

Primer amplified base pairs = 130  that are adjacent to - 14 base pair repeats.

PCR product size was 214

So, the extra nucleotide that we get would be

= product size - primer amplified

= 214 - 130

= 84 bp

Extra repeats you got = 84 /14

                                    = 6 repeats

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Answer:19/31

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

10(x - 1) = 8x - 2

10x - 10 = 8x - 2

10x = 8x + 8

2x = 8

x = 4

Answer:

10 incorrect answers

Step-by-step explanation:

Correct answer = +3

Incorrect answer = - 1

Mark scored = 20

Number of correct answers = 10

Let:

Incorrect answers = y

Hence, we can fashion out the expression for total score :

(Number of correct answers * score per Correct answer + number of incorrect * score per incorrect) = total score

(10 * 3) + (y * - 1) = 20

30 - y = 20

-y = 20 - 30

-y = - 10

y = 10

10 incorrect answers

By organizing the data into intervals and counting the frequency of observations, we can identify the range of values in which the most data points are located.

In statistics, an interval is a range of values within which we expect to find a certain amount of observations.

The number of observations within an interval is known as the frequency, and it can be used to determine where the majority of values lie in a data set.

When we are looking for the interval with the largest number of observations, we are trying to find the range of values in which the most data points are located.

In order to do this, we need to first organize the data into intervals, often called bins, and then count the frequency of observations within each bin.

For example, if we have a data set of 100 heights of people, we could create 10 bins with a range of 10 cm each. The first bin would cover the range of heights from 0-10 cm, the second bin from 10-20 cm, and so on. After counting the number of people in each bin, we can easily see which bin has the largest frequency, and therefore the interval with the largest number of observations.

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Answer:

20.485 Meters

Step-by-step explanation:

So first you wanna draw a diagram.  Start with the tower, then on the ground to the left (or right) draw a point.  The point will be labeled as 42 m away from the tower.  Now draw a line from that point to the top of the tower.  This makes your triangle, and that angle you just drew that touches the point is 26 degrees.

Now, since you have a right triangle you can use trig.  You know an angle and a side.  Specifically, relative to the 26 degree angle you know the adjacent angle and want the opposite, which is the tower.  So opposite and adjacent is tangent.  So you set up tan(26) = o/42 where o is the opposite side.  

So solving you get o = 20.485 meters

Step-by-step explanation:

The trend line equation to estimate the hiker's elevation after 150 minutes is 2033 feet.

Given that,

A trend line's equation for the hiker's elevation is y = 9.16x + 659.

We must determine,

The trend line equation is used to calculate the hiker's elevation after 150 minutes.

In response to the question,

A trend line's equation for the hiker's elevation is y = 9.16x + 659.

Where x is the number of minutes and y is the elevation of the hiker in feet.

Substitute the value of x = 150minute in the given equation to find the trend line to estimate the hiker's elevation after 150minutes.

Therefore,

y = 9.16x + 659

x = 150

y = 9.16(150) + 659

y = 1374 + 659

y = 2033

As a result, the trend line equation for estimating the hiker's elevation after 150 minutes is 2033 feet.

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To solve for mean deviation, find the mean of the data set and then calculate the absolute deviation of each data point from the mean.

Once you have the mean, you can calculate the deviation of each data point from the mean. The deviation (often denoted as d) of a particular data point (let's say xi) is found by subtracting the mean from that data point:

d = xi - μ

Next, you need to find the absolute value of each deviation. Absolute value disregards the negative sign, so you don't end up with negative deviations. For example, if a data point is below the mean, taking the absolute value ensures that the deviation is positive. The absolute value of a number is denoted by two vertical bars on either side of the number.

Now, calculate the absolute deviation (often denoted as |d|) for each data point by taking the absolute value of each deviation:

|d| = |xi - μ|

After finding the absolute deviations, you'll compute the mean of these absolute deviations. Sum up all the absolute deviations and divide by the total number of data points:

Mean Deviation = (|d₁| + |d₂| + |d₃| + ... + |dn|) / n

This value represents the mean deviation of the data set. It tells you, on average, how far each data point deviates from the mean.

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