The rivers depth is three meters greater than its width. two time the rivers depth is equal to six meters more than twice its width.
PLZ write a system of equations and show ALL work
WOULD APPRECIATE A LOT

Answers

Answer 1

Answer:

d = w + 3 (first equation)

2d = 2w + 3 (second equation).

The second equation is equivalent to the first one.

In other words, two equations carry the same information as the first one, not more.

In the language of linear algebra, the system is dependent


Related Questions

PLS HELP ASAP FEJKRKJGR My bad dont mind the blue bubble

PLS HELP ASAP FEJKRKJGR My bad dont mind the blue bubble

Answers

Answer:

10

Step-by-step explanation:

yellow

6+6+3=15

so

for green

4+4+2=10

Answer: 10

2/3=x/15
X=10
I used photo math app(´∀`)

Determine whether the following sequence is arithmetic, geometric, or neither.

1, 4, 9, 16, ...

Answers

Answer:

ok

Step-by-step explanation:

Answer:

1,4,9,16

\( \frac{t2}{t1} = \frac{4}{1} \: \: \: \: \geometric\)

Step-by-step explanation:

you first divide the second term by the first term

Of the 30 girls who tried out for the lacrosse team at Euclid Middle School, 12 were selected. Of the 40 boys who tried out, 16 were selected. Are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls? How do you know?

Answers

Answer: 28 because 16+12=28

Answer:yes the ratios are the same

Step-by-step explanation: when found to common denominator they are equal 16x3 equals 48 and 12x4 equals 48

The following table shows the number of candy bars bought at a local grocery store and the
total cost of the candy bars:

Candy Bars: 3, 5, 8, 12, 15, 20, 25

Total Cost: $6.65, $10.45, $16.15, $23.75, $29.45, $38.95, $48.45

If B represents the number of candy bars purchased and C represents the total cost of the candy bars, write the linear model that models the cost of any number of candy bars.

Answers

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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The function f(x) = 150 + 35x represents the price a hotel charges for x nights, including a $150 charge for parking.

a. What is the total bill for four nights at the hotel?

b. How many nights must you stay to have a bill of $430?

Answers

For the 4 night at the hotel, the answer is 290 since you insert 4 in where the x should be 150+35(4). For the second question, the answer is 8 since you subtract the money you have (430) by the parking cost (150). This lead to 280 and you divide it by the amount you need to spent on hotel charge per night (35) and you get 8. That means that you can spend 8 night at the hotel.

When does the rock hit the ground? the rock hits the ground between seconds and seconds after it is dropped.

Answers

Between 2 seconds and 2.5 seconds, the rock hits the ground after it is dropped.

What are distance and time?

A distance-time graph shows how far an object has travelled in a given time. It is a simple line graph that denotes distance versus time findings on the graph. Distance is plotted on the Y-axis. Time is plotted on the X-axis.

As you can see at 2s the height of the rock is 0.4m and at 2.5s it is -10.6m, which tells us that in between these values the height would have been 0m, as the movement of the rock is uniform in direction and hence, the rock will hit the ground between 2s and 2.5s.

The rock hits the ground between 2 seconds and 2.5 seconds after it is dropped.

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When does the rock hit the ground? the rock hits the ground between seconds and seconds after it is dropped.

What is the slope of the line in the graph?

-4/3
-3/4
3/4
4/3

What is the slope of the line in the graph? -4/3-3/43/44/3

Answers

B -3/4 you take the two points

what is the minimum engagement percentage you should look for when finding the correct influencer? van oakes

Answers

Answer:

don't worry I'm here

When finding the right influencer for a partnership or campaign, engagement rate is an important factor to consider. Engagement rate measures the level of interaction and activity an influencer receives on their content, typically expressed as a percentage. While there is no universally defined minimum engagement rate to look for, a general guideline is to consider influencers with an engagement rate of 2-3% or higher as a starting point.

However, it's important to note that the ideal engagement rate may vary depending on the platform, industry, and target audience. Some industries or niches may have higher or lower average engagement rates. Additionally, the size of the influencer's following can also affect their engagement rate, as larger accounts tend to have lower engagement rates compared to smaller ones.

When evaluating potential influencers, it's crucial to consider other factors alongside engagement rate, such as the quality of their content, relevance to your brand or campaign, authenticity, audience demographics, and overall alignment with your goals and values. A high engagement rate doesn't guarantee success, so it's important to look at the bigger picture and find influencers who can genuinely connect with your target audience and create meaningful content

When looking for the right influencer, there is no specific minimum engagement percentage that applies universally. The ideal engagement percentage can vary depending on several factors, including the industry, platform, target audience, and campaign goals.

Engagement percentage is typically calculated by dividing the average number of likes, comments, and shares by the influencer's total number of followers and multiplying by 100. It provides an indication of how actively their audience interacts with their content.

While some consider an engagement rate of 1-3% to be a benchmark, others may look for higher rates, especially in industries where engagement tends to be higher, such as fashion, beauty, or lifestyle.

It's crucial to consider the context of the influencer's niche, the quality of their engagement (meaningful comments and shares rather than generic ones), and the alignment between their audience and your target audience.

Additionally, it's recommended to analyze other metrics alongside engagement percentage, such as reach, demographics, and the influencer's overall content strategy, to make a well-informed decision.

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. Write a multiplication equation that represents the question:
how many 3/8 are in 5/4?

Answers

Answer: hope you got this right

Step-by-step explanation:  3 1/3.    divide 5/4 by 3/8. (5/4) / (3/8) = 5/4 * 8/3 = 40/12 = 10/3

A sine function has an amplitude of 3, a period of π, and a phase shift of \(\frac{\pi }{4}\\\). What is the y-intercept of the function?


3

0

-3

\(\frac{\pi }{4}\)

Answers

The y-intercept of the sine function is -3

We know that the standard form of the sine function is, y = a sin(bx + c) + d

where, amplitude = |a|

period = 2π/b

phase shift = -c/b

and vertical shift = d

Here, a sine function has an amplitude of 3, a period of π, and a phase shift of π/4

a = 3,

So, 2π/b = π

⇒ b = 2

And phase shift -c/b = π/4

⇒ -c/2 = π/4

⇒ -c = π/2

⇒ c = -π/2

So, a sine function would be,

y = 3 sin(2x + -π/2) + 0

y = 3 sin(2x + -π/2)

When x = 0,

y = 3 sin(0+ -π/2)

y = 3 sin(-π/2)

y = 3 × (-1)

y = -3

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When examining the geology of a region for potential useable aquifers, what characteristics or factors would you consider? Also, taking into account certain natural and human factors, which areas would you avoid?
200-300 word response

Answers

Factors considered for potential aquifers: permeability, porosity, recharge. Avoid areas near contamination or high population density.

What factors are considered when evaluating potential useable aquifers and which areas should be avoided?

Examining the geology of a region for potential useable aquifers involves considering various characteristics and factors. Permeability, the ability of rocks or sediments to transmit water, is a key attribute. Highly permeable formations like sandstone or limestone facilitate water movement, making them favorable for aquifer development. Porosity, the amount of empty space within rocks or sediments, indicates the storage capacity of an aquifer. High porosity allows for greater water storage.

Recharge rates, the rate at which water replenishes the aquifer, are also important. Areas with consistent and sufficient rainfall or access to water sources like rivers and lakes tend to have higher recharge rates, making them suitable for aquifer utilization.

However, it is crucial to consider natural and human factors to determine areas to avoid. Proximity to contamination sources, such as industrial activities or landfills, can pose a risk to the water quality of an aquifer. Additionally, regions with high population density often face increased demands for water, which may lead to excessive groundwater extraction, causing depletion and long-term sustainability concerns.

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Need help to solve this ASAP #6

Need help to solve this ASAP #6

Answers

Answer:

x = 20

Step-by-step explanation:

The length of the segment EG can be obtained as the sum of the segments EF and FG, that is:

EG = EF + FG

We are given:

EF = 4x + 14

FG = 50

EG = 144

Thus, we set the equation:

144 = 4x + 14 + 50

Simplifying:

144 = 4x + 64

Subtracting 64:

80 = 4x

Dividing by 4:

x = 80/4 = 20

x = 20

The diameter of a human hair is *10^(-5) meters. The diameter of a spider's silk is 3*10^(-6)meters. How much greater is the diameter of a human hair than the diameter of a spider's silk?

Answers

The diameter of a human hair is 7 times greater than the diameter of a spider's silk.

To determine how much greater the diameter of a human hair is than the diameter of a spider's silk, we can calculate the difference between the two diameters. The diameter of a human hair is given as 10^(-5) meters, and the diameter of a spider's silk is given as 3*10^(-6) meters.

To find the difference, we subtract the diameter of the spider's silk from the diameter of the human hair:

Difference = (10^(-5)) - (3*10^(-6))

= (10^(-5)) - (10^(-6))

= (10^(-5)) - (1/10^6)

= (10^(-5)) - (10^6/10^6)

= (10^(-5)) - (10^6 * 10^(-6))

= (10^(-5)) - (10^(6-6))

= (10^(-5)) - (10^(0))

= (10^(-5)) - 1

= 10^(-5) - 1

= 0.99999

Therefore, the diameter of a human hair is approximately 7 times greater than the diameter of a spider's silk.

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Help please I’m stuck on a question and I’d greatly appreciate it

Help please Im stuck on a question and Id greatly appreciate it

Answers

Answer: I think that the unknown measure is 22.

Step-by-step explanation: The bottom and height combined is the value of the longer line.

Y= 3y - 2x
2y = 3x -2
(método de sustitución, igualación y suma y resta)

Answers

The solution of the system of equations is (x, y) = (1/3, 1/3).

To solve the given system of equations, we can use any of the following three methods; the substitution method, the elimination method (also known as the addition/subtraction method), and the graphical method. Below, we will solve it using each of these methods.

1. Substitution method:

We will use the substitution method to solve the system of equations. Step-by-step solution is shown below; Given equations are

Y = 3y - 2x ...(1)2y = 3x - 2 ...(2) From equation (1), we have

Y + 2x = 3y ...(3)Now substitute equation (3) into equation

(2)2y = 3x - 2 ...(2)Y + 2x = 3y ...(3)2(3y - 2x) = 3x - 2

Multiplying both sides by 2:

6y - 4x = 3x - 2 Grouping like terms:

6y - 3x = 2 Adding 3x to both sides:

6y = 3x + 2Dividing both sides by 6:

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

Therefore, the solution of the system of equations is (x, y) = (1/3, 1/3).

2. Elimination method:

We will use the elimination method to solve the system of equations. Step-by-step solution is shown below; Given equations are

Y = 3y - 2x ...(1)2y = 3x - 2 ...(2)Multiplying equation (1) by 2,

we get;2Y = 6y - 4x ...(3)Multiplying equation (2)

by -3, we get;-6y = -9x + 6 ...(4) Adding equations (3) and (4),

we get;-4x = -9x + 8

Simplifying;-4x + 9x = 8x = -8x = -2

Therefore, we found the value of x, which is -2.

Substitute the value of x in either equation (1) or (2);

If we substitute x = -2 in equation (1), we get;

Y = 3y - 2(-2)Y = 3y + 4Y - 3y = 4Y = 4/2Y = 2Substitute the value of y in equation (1)

;Y = 3y - 2xY = 3(2) - 2(-2)Y = 6 + 4Y = 10

Therefore, the solution of the system of equations is (x, y) = (-2, 10/2).3.

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Find the volume of the cone that has a height of 12 and diameter of 12. Use 3.14 for pi.
Round your answer to the nearest tenths place.

TYPE ONLY THE NUMBER DO NOT INCLUDE THE UNIT

Answers

Answer:

425.2

Step-by-step explanation:

v = 1/3\(\pi r^{2} h\)  If the diameter is 12,  then the radius is 6

v = \(\frac{3.14(6^{2})12 }{3}\)

v = \(\frac{3.14(36)(12)}{3}\)

v = 452.16

Helping in the name of Jesus.

The function​ A() given by ​A()=0. 24551 can be ued to etimate the average age of employee of a company in the year 1981 to 2009. Let​ A() be the average age of an​ employee, and be the number of year ince​ 1981; that​ i, =0 for 1981 and =9 for 1990. What wa the average age of the employee in 2003 and in​ 2009?

Answers

The the function to estimate the average age of employee of a company is A(s)=0.285s + 59  , then the average age of employee in 2003 is 65.27 and in 2009 is 66.98

To estimate the average age of an employee in 2003, we need to find the value of A(s) when s = 22  ;

because the number of years between 2003 and 1981 is = 22 years ;

So , A(22) = 0.285×22 + 59 = 65.27  ;

The average age of an employee in 2003 is approximately 65.27.

To estimate the average age of an employee in 2009,

we need to find the value of A(s) when s = 28

because the number of years between 2009 and 1981 is = 28 years ;

So , A(28) = 0.285×28 + 59 = 66.98  ;

The Average age of employee in 2009 is approximately 71.48.

The given question is incomplete , the complete question is

The function​ A(s) given by ​A(s)=0.285s + 59  can be used to estimate the average age of employee of a company in the year 1981 to 2009. Let​ A(s) be the average age of an​ employee, and "s" be the number of year since​ 1981; that​ is, s=0 for 1981 and s=9 for 1990. What is the average age of the employee in 2003 and in​ 2009 ?

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Pleaseeee help asapppppp

Pleaseeee help asapppppp

Answers

Simplifying

0.75x + 1.2 = 0

Reorder the terms:

1.2 + 0.75x = 0

Solving

1.2 + 0.75x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.2' to each side of the equation.

1.2 + -1.2 + 0.75x = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0

0.0 + 0.75x = 0 + -1.2

0.75x = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2

0.75x = -1.2

Divide each side by '0.75'.

x = -1.6

Under a dilation, are the pre-image and the image always,
sometimes, or never congruent?

Answers

Answer:

Never congruent

Step-by-step explanation:

A dilation is a transformation that makes an image that is thr same shape as the original, but a DIFFERENT SIZE.

Congruent shapes means they both have the same shape AND size.

So a dilation of the new image/shape can NEVER have the same shape AND size with the original.

BRAINLIEST?? TY!! :DD

which equation represents a lime which is parallel to the line 4y-x=-24

Answers

Answer:please mark as brainliest

Step-by-step explanation:this is an example and then the question you can answer

Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5.

another example

In order to be parallel to your line, a line has to have the same slope as your line. So it has to have slope −4. Thus any line parallel to the line y=−4x+5 has an equation of the form y=−4x+b, where b is any number.

- student claims that there is no solution to the system of inequalities shown.
y≥x² + 3
y< x + 1
2
PART A (2 POINTS): Explain a method for proving that the student's claim is correct.
peaker notes

Answers

The system of inequalities has no solution because the lines do not meet at any point

How to prove the student's claim?

The system of inequalities is given as

y ≥ x² + 3

y < x + 1

From the above system of inequalities, we can see that the function types are

Parabola: y ≥ x² + 3Linear: y < x + 1

Next, we plot the graph of both inequalities in the system (see attachment for the graph)

From the graph, we can see that the lines and the curves of the functions do not intersect

This means that the system has no solution

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- student claims that there is no solution to the system of inequalities shown.yx + 3y&lt; x + 12PART

How much would over budget would Jonah Mason be if he spends $650.75 for something that he had budgeted at $485? *
485.00
650.75
1,135.75
165.75
TIMEEEDDDD!!

Answers

Step-by-step explanation:

Subtract 485 and 650.75 and your answer is -165.75, so he is 165.75 dollars over budget.

Answer:

$165.75

Step-by-step explanation:

if ask for over budget so it's

$650-$485 = 165.75

he correlation coefficient for the data is r=1 and α=0.05. Should regression analysis be done? The regression analysis should not be done. 8 The regression analysis should be done. Find the equation of the regression line. Round the coefficients to at least three decimal places, if necessary. y′ =a+bx
a=
b=
​ Find y′ when x=$3268. Round the answer to at least three decimal places, .

Answers

The equation of the regression line is:y′ = -1023.33 + 1.38xTo find y′ when x = $3268, we substitute x = 3268 into the equation:y′ = -1023.33 + 1.38 * 3268 = $9968.18Therefore, y′ when x = $3268 is $9968.18.

Correlation coefficient (r) is a statistical measure that quantifies the relationship between two variables. The possible values of the correlation coefficient range from -1.0 to +1.0. A value of 0 indicates that there is no correlation between the two variables. A positive value indicates a positive correlation, and a negative value indicates a negative correlation.

If r is close to 1 or -1, then the variables have a strong correlation.In the case of this question, the correlation coefficient for the data is r = 1, which indicates that there is a perfect positive correlation between the two variables.

Furthermore, the significance level (α) is 0.05. The regression analysis should be done.To find the equation of the regression line, we need to find the values of a and b. The equation of the regression line is:y′ = a + bxwhere y′ is the predicted value of y for a given x, a is the y-intercept, and b is the slope of the line.The formulas for a and b are:a = y¯ − bx¯where y¯ is the mean of y values and x¯ is the mean of x values,andb = r(sy / sx)where sy is the standard deviation of y values, and sx is the standard deviation of x values.

The given values are:x = 3268y = 10211n = 6x¯ = (2400 + 3600 + 4000 + 4900 + 5100 + 5900) / 6 = 4300y¯ = (8450 + 10400 + 10550 + 12650 + 12100 + 14350) / 6 = 10908.33sx = sqrt(((2400 - 4300)^2 + (3600 - 4300)^2 + (4000 - 4300)^2 + (4900 - 4300)^2 + (5100 - 4300)^2 + (5900 - 4300)^2) / 5) = 1328.09sy = sqrt(((8450 - 10908.33)^2 + (10400 - 10908.33)^2 + (10550 - 10908.33)^2 + (12650 - 10908.33)^2 + (12100 - 10908.33)^2 + (14350 - 10908.33)^2) / 5) = 1835.69b = 1 * (1835.69 / 1328.09) = 1.38a = 10908.33 - 1.38 * 4300 = -1023.33Therefore, the equation of the regression line is:y′ = -1023.33 + 1.38xTo find y′ when x = $3268, we substitute x = 3268 into the equation:y′ = -1023.33 + 1.38 * 3268 = $9968.18Therefore, y′ when x = $3268 is $9968.18.

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What is the decimal equivalent of the rational number 17/33

Answers

Answer:

0.51

Step-by-step explanation:

divide 17 by 33 and round to the nearest hundrenth

suppose that two boys named davis, three boys named jones, and four boys named smith are seated at random in a row containing nine seats. what is the probability that the davis boys will occupy the first two seats in the row, the jones boys will occupy the next three seats, and the smith boys will occupy the last four seats?

Answers

The probability that the Davis boys will occupy the first two seats in the row, the Jones boys will occupy the next three seats, and the Smith boys will occupy the last four seats is 7.937×\(10^{-4}\).

There are \(\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]\) potential arrangements for the nine boys if we do not make a distinction amongst boys with the same last name. We are curious in the likelihood of a specific one of these configurations.

Probability = \(\frac{1}{\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]}\)

                  = \(\frac{2!3!4!}{9!}\)

                 = 0.0007937

                = 7.937×\(10^{-4}\)

Hence, the probability is 7.937×\(10^{-4}\).

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A trapezoidal notch was used to pass a flow rate of 2.1 m3/sec over the notch at a head of 1.14 m measured from the crest. If a 0.57 m head was recorded for a discharge of 0.65 m3/sec passes over the notch. Take Cd=0.615, calculate the base width and side slopes of the notch.

Answers

The base width of the trapezoidal notch is 1.384 m and the side slopes of the trapezoidal notch is 58.15°.

Given that, Flow rate of water over the trapezoidal notch, Q = 2.1 m3/sec

Head over the trapezoidal notch, h = 1.14 m

Discharge of water over the trapezoidal notch, q = 0.65 m3/sec

Head over the trapezoidal notch for this discharge, H = 0.57 m

Coefficient of discharge, Cd = 0.615

Formula used:

The formula used to calculate the flow rate of water over the trapezoidal notch is given by,

Q = Cd * (2/3) * b * [(h1 + h2)/2]3/2

where, Q = Flow rate of water over the trapezoidal notch

Cd = Coefficient of discharge

b = Base width of the notchh1 and

h2 = Heads over the trapezoidal notch

The formula used to calculate the discharge of water over the trapezoidal notch is given by:

q = Cd * (2/3) * b * [H]3/2

where, q = Discharge of water over the trapezoidal notch

Cd = Coefficient of discharge

b = Base width of the notch

H = Head over the trapezoidal notch

Calculation:

From the formula,

Q = Cd * (2/3) * b * [(h1 + h2)/2]3/2Q1 = Cd * (2/3) * b * [(h1 + 1.14)/2]3/2Q2

= Cd * (2/3) * b * [(h2 + 1.14)/2]3/24

Dividing the two equations:

Q2 / Q1 = [(h2 + 1.14)/2]3/2 / [(h1 + 1.14)/2]3/2

By substituting the given values:

0.65 / 2.1 = [(0.57 + 1.14)/2]3/2 / [(1.14 + h1)/2]3/2

By solving the above equation, We get:

h1 = 0.438 m

Therefore, the height of the upstream head h1 is 0.438 m.

From the formula, q = Cd * (2/3) * b * [H]3/2

By substituting the given values:

0.65 = 0.615 * (2/3) * b * [0.57]3/2

By solving the above equation, We get: b = 1.384 m

Therefore, the base width of the trapezoidal notch is 1.384 m.

The side slopes of the trapezoidal notch can be calculated by using the formula given below.

tanα = 2 * (Z1 - Z2) / b

where,Z1 = height of the notch at the downstream

Z2 = height of the notch at the upstream

b = Base width of the notch

By substituting the given values, we get:

tanα = 2 * (0.1 - 0.438) / 1.384

By solving the above equation, We get:

α = 58.15°

Therefore, the side slopes of the trapezoidal notch is 58.15°.

Hence, the base width of the trapezoidal notch is 1.384 m and the side slopes of the trapezoidal notch is 58.15°.

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Emily wanted to make shish kabobs for a barbecue she was having for her swim party. The bag she purchased from the grocery store contained a total of 75 shrimp. Emily noticed that she had a dozen skewers to utilize. Emily claims that she will be able to include 5 shrimp on each skewer and have a total of 15 left over. Explain why we can quickly see Emily made a mistake just by looking at the number of shrimp she had left over. Please use proper vocabulary in your explanation. As part of your explanation please be sure to tell me how many shrimp can fit on each skewer and if there are any left over.

Answers

Answer:

Emily's claim is correct that with 12 skewers which can hold 5 shrimp each, there will be 15 leftovers.

Step-by-step explanation:

Given that:

Total number of shrimp contained in the bag of Emily = 75

Number of skewers available = A dozen

A dozen means 12.

Therefore, there are 12 number of skewers available.

Each skewer can have = 5 number of shrimp

Total number of shrimp on the 12 skewers = 12 \(\times\) 5 = 60

Total number of leftover = Total number of shrimp in the bag - Total number of shrimp on the 12 skewers = 75 - 60 = 15

Therefore, Emily's claim is correct that with 12 skewers which can hold 5 shrimp each, there will be 15 leftovers.

henry's score on an accounting exam placed him in the 85th percentile in the class. what percentage of students scored higher than henry?

Answers

15% of the students scored higher than Henry on the accounting exam.

What is percentiles?

Percentiles are a measure of the relative standing of a value within a set of values. The nth percentile is a value such that n% of the values are less than or equal to that value.

So, if Henry's score is in the 85th percentile, it means that 85% of the scores in the class are less than or equal to his score.

Therefore, 100% - 85% = 15% of the scores in the class are higher than Henry's score. So, 15% of the students scored higher than Henry on the accounting exam.

Learn more about percentile here : brainly.com/question/17223173

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Tickets to the baseball game are on sale for $1.50 off the regular price. Dea buys 6 tickets. If her total cost is $51, what is the regular price of each ticket? Write and solve an equation of the form p(x±q)=r. Then write a sentence to explain your answer.

Answers

Answer:

Below

Step-by-step explanation:

6 (x-1.50) = 51        6 = number of tix     x - 1.50 = sale price     x = reg price

6x - 9 = 51

6x = 60

x = 10 dollar regular price

9) John bought a pair of shoes that normally costs $79, but was on sale
for 15% off. Sales tax was 8.25%. What was the total cost for the pair
of shoes?

Answers

Answer:

79/100 X 15 = 11.85

79 - 11.85 = 67.15

67.15/100 X 8.25 = 5.539875

67.15 + 5.539875 = 72.689875

total cost $72.69

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