A woman bought some large frames for $18 each and some small frames for $4 each at a closeout sale. If she bought 16 frames for $148, find how many of each type she bought.

Answer:

Option A

Step-by-step explanation:

Weight of an apple = twice of the weight of a lemon

Weight of an apple = 2(weight of a lemon)

x = 2y ------(1)

x = weight of an apple

y = weight of a lemon

Number of apples in a box = 16

Weight of the apple box (A) = 16x

Number of lemons in another box = 24

Weight of the lemon box (B) = 24y

Therefore, \(\frac{A}{B}=\frac{16x}{24y}\)

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

\(\frac{A}{B}=\frac{2(2y)}{3y}\) [From equation (1)]

\(\frac{A}{B}=\frac{4y}{3y}\)

\(\frac{A}{B}=\frac{4}{3}\)

Option A will be the correct option.

Answer:

-9x > 16 or 13x < -19

<=> x< -16/9 or x < -19/13

=> x belong ( - ∞ ; -16/9)

Answer:

150

Step-by-step explanation:

24/x=16/100

Using cross-multiplication, we get 16x=2400

When we divide both sides by 16,

we get x=150, so, our answer is 150

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Answer:

X = 6

Step-by-step explanation:

X + 8 = 14          * Subtract 8 from both sides so that

    -8   -8              the 8 is cancelled out

_________

X + 0 = 6

Answer:

Less than

Step-by-step explanation:

Answer:

Less than

Step-by-step explanation:

Lmk if i need to explain

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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Answer:

y=1/2x+0 m=1/2 b=0

Step-by-step explanation:

You first need to find the slope of this line, the equation for this is.

(y2-y1)/(x2-x1)

In this case it is (3-1)/6-2)

This simplifies to 1/2.

This graph also does not have a +b as when you graph y=1/2x, it already passes through the 2 points shown.

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

The value of f(5) is positive

At f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, the values of x are [-2, 1]

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have

f(5) = 1

This means that f(5) is positive

Also, we have

When f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, we have the values of x to be

-2 ≤ x ≤ 1

When represented as an interval, we have

[-2, 1]

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The expression that models the number of people attending concert 1 is given as follows:

512/6.

The number of people attending concert 1 is obtained applying the proportions in the context of the problem.

From the bar model, the fractions corresponding to each concert are given as follows:

The total number of people is given as follows:

512.

Hence the expression that models the number of people attending concert 1 is given as follows:

512/6.

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Answer:

632.83mm²

Step-by-step explanation:

Applying Pythagorean theorem to triangle SOH

SH² = SO² + OH²

SH = \(\sqrt{(15.4)^2+(7.2)^2}=17mm\)

Since the base of the pyramid is a regular pentagon, angle OAH
is 108°/2 = 54°.

AH = 7.2/tan 54° = 5.23mm

So AB = 2AH = 10.46mm

The area of triangle SAB is:

A1 = 1/2 × SH × AB = 1/2 × 17 × 10.46 = 88.91mm²

The area of all triangles is

A2 = 5 × A1 = 5 × 88.91 = 444.55mm²

The area of the base is:

A3 = (perimeter × apothem)/2 = (5 × 10.46 × 7.2)/2 = 188.28mm²

The surface area of the pyramid is:

A2 + A3 = 444.55 + 188.28 = 632.83mm²

Step-by-step explanation:

the surface area is the sum of the base area (pentagon) and the 5 side triangles (we only need to calculate one and then multiply by 5, as they are all equal).

these side triangles are isoceles triangles (the legs are equally long).

the usual area formula for a pentagon is

1/2 × perimeter × apothem

the apothem is the minimum distance from the center of the pentagon to each of its sides.

in our case this is 7.2 mm.

how to get the perimeter or the length of an individual side of the pentagon ?

if the apothem of a pentagon is given, the side length can be calculated with the formula

side length = 2 × apothem length × tan(180/n)

where 'n' is the number of sides (5 in our case). After getting the side length, the perimeter of the pentagon can be calculated with the formula

perimeter = 5 × side length.

so, in our case

side length = 2 × 7.2 × tan(180/5) = 14.4 × tan(36) =

= 10.4622124... mm

perimeter = 5 × 10.4622124... = 52.31106202... mm

area of the pentagon = 1/2 × perimeter × apothem =

= 1/2 × 52.31106202... × 7.2 = 188.3198233... mm²

now for the side triangles.

the area of such a triangle is

1/2 × baseline × height

baseline = pentagon side length

height we get via Pythagoras from the inner pyramid height and the apothem :

height² = 7.2² + 15.4² = 51.84 + 273.16 = 289

height = 17 mm

area of one side triangle =

1/2 × 10.4622124... × 17 = 88.92880543... mm²

all 5 side triangles are then

444.6440271... mm²

and the total surface area is then

444.6440271... + 188.3198233... = 632.9638504... mm²

≈ 632.96 mm²

Answer:

-25x-45y, because if we have got + and -, so we will write minus.

Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

Answer:

197

Step-by-step explanation:

So, if you catch 100 fish on both days, that means that you have caught 200 fish. 100 on one day and 100 on the next. But, since you've caught 3 fish twice, that means that three out of 200 fish are the same and cannot be counted as new fish. So 3 from 200 is 197 fish. Hope this helped!

Day 1: 100 (3 tagged)

Day 2: 97 (3 tagged)

100+97=197

or

Day 1: 100 (3 tagged)

Day 2: 100 (3 tagged)

100+100= 200

200-3=197

Answer, 197 fish.

The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

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Answer: 40%

Step-by-step explanation:

Since the total votes can only be 100% if one receives 60%, or 6/10 then the other must receive 40%, or 4/10.

Answer:

Sorry I only know answer to the second question

That is 12000

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

The student who made mistake is Max;he should have subtracted both sides by 9 in the first step.

AJ:

(x + 5)² + 9 = 25

(x + 5)² = 25 - 9

(x + 5)² = 16

√(x + 5)² = √16

x + 5 = ±16

x + 5 = ±4

x + 5 = 4 or x + 5 = -4

x = 4 -5 or -4 -5

x = -1 or -9

Max's work:

(x + 5)² + 9 = 25

x + 5 + 3 = ± 5

Therefore, the student who made mistake is Max;he should have subtracted both sides by 9 in the first step.

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Answer:

the raindeer can run 32 miles in one hour because if if you add 32 to gether three times then it equals 96 i hope that helps

Step-by-step explanation:

Answer:

32 miles per hour

Step-by-step explanation:

96/3 = 32

After answering the presented question, we can conclude that expressions Therefore, the population of the rural city in 2030 is approximately 11,014.18.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

To approximate the population in 2030, we need to find the value of P(t) when t = 44, since 2030 is 44 years after 1986.

Using the given exponential growth model, we have:

\(P(t) = 3400^(0.0371t)\\P(44) = 3400^(0.0371*44)\\P(44) = 3400^1.6334\\P(44) = 11014.18\\\)

Therefore, the population of the rural city in 2030 is approximately 11,014.18.

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Given:

It is given that

Required:

The radius of the circle

Explanation:

The length of an arc is given by the formula,

Substituting the values in the formula,

Answer:

Thus the radius of the circle is 42 m.

Answer:

y=(x-4)²-4

Step-by-step explanation:

Our x-intercepts are (2,0) and (6,0) so we can state them as expressions and expand:

(x-2)(x-6)=0 [Remember that (2,0) is the solution to x-2=0 just as (6,0) is the solution to x-6=0]

x²-8x+12=0 (Standard Form)

x²-8x+12+4=0+4 (Completing the square)

x²-8x+16=4

(x-4)²=4

(x-4)²-4=0

Therefore, our equation for the graph in vertex form is y=(x-4)²-4

Answer:

Interval Notation : ( -3, ∞)

Step-by-step explanation:

graph:

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The attached Excel file 2013 NCAA BB Tournament shows the salaries paid to the coaches of 62 of the 68 teams in the 2013 NCAA basketball tournament (not all private schools report their coach's salaries). Consider these 62 salaries to be a sample from the population of salaries of all 346 NCAA Division I basketball coaches.

Question 1. Use the 62 salaries from the TOTAL PAY column to construct a 95% confidence interval for the mean salary of all basketball coaches in NCAA Division I.

xbar = $1,465,752

SD = $1,346,046.2

lower bound of confidence interval ________

upper bound of confidence interval _______

Question 2. Coach Mike Krzyzewski's high salary is an outlier and could be significantly affecting the confidence interval results. Remove Coach Krzyzewski's salary from the data and recalculate the 95% confidence interval using the remaining 61 salaries.

xbar = $1,371,191

SD = $1,130,666.5

lower bound of confidence interval _________

upper bound of confidence interval. ________

Answer:

Question 1:

lower bound of confidence interval = $1,124,027

upper bound of confidence interval = $1,807,477

Question 2:

lower bound of confidence interval = $1,081,512

upper bound of confidence interval = $1,660,870

Step-by-step explanation:

Question 1:

The sample mean salary of 62 couches is

 \(\bar{x} = 1,465,752\)

The standard deviation of mean salary is

 \(s = 1,346,046.2\)

The confidence interval for the mean salary of all basketball coaches is given by

 \($ CI = \bar{x} \pm t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $\)

Where \(\bar{x}\) is the sample mean, n is the sample size, s is the sample standard deviation and  \(t_{\alpha/2}\) is the t-score corresponding to a 95% confidence level.  

The t-score corresponding to a 95% confidence level is  

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025  

Degree of freedom = n - 1 = 62 - 1 = 61

From the t-table at α = 0.025 and DoF = 61

t-score = 1.999

So the required 95% confidence interval is  

\(CI = \bar{x} \pm t_{\alpha/2}(\frac{s}{\sqrt{n} } ) \\\\CI = 1,465,752 \pm 1.999 \cdot (\frac{1,346,046.2}{\sqrt{62} } ) \\\\CI = 1,465,752 \pm 1.999 \cdot (170948.04 ) \\\\CI = 1,465,752 \pm 341,725 \\\\LCI = 1,465,752 - 341,725 = 1,124,027 \\\\UCI = 1,465,752 + 341,725 = 1,807,477\\\\\)

Question 2:

After removing the Coach Krzyzewski's salary from the data

The sample mean salary of 61 couches is

\(\bar{x} = 1,371,191\)

The standard deviation of the mean salary is

\(s = 1,130,666.5\)

The t-score corresponding to a 95% confidence level is  

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025  

Degree of freedom = n - 1 = 61 - 1 = 60

From the t-table at α = 0.025 and DoF = 60

t-score = 2.001

So the required 95% confidence interval is  

\(CI = \bar{x} \pm t_{\alpha/2}(\frac{s}{\sqrt{n} } ) \\\\CI = 1,371,191 \pm 2.001 \cdot (\frac{1,130,666.5}{\sqrt{61} } ) \\\\CI = 1,371,191 \pm 2.001 \cdot (144767 ) \\\\CI = 1,371,191 \pm 289,678.8 \\\\LCI = 1,371,191 - 289,678.8 = 1,081,512 \\\\UCI = 1,371,191 + 289,678.8 = 1,660,870\\\\\)

Answer:

it is 3D

Step-by-step explanation:

Answer:

Its 3 dimensional

Step-by-step explanation:

I took the test

We can use the concept of Line Intercept form . She should count up 2 and right 1 . So the correct option is D.

When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula. We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable. Set x = 0 and then solve for y to find the y-intercept.

  y=mx+b is the slope intercept formula

The given equation is y=2x-7.

By comparing to slope intercept formula y=mx+b,

   m=2 and b=-7.  

   So the slope of the given equation is 2 and y-intercept is (0,-7).

we know that,

             m=rise/run

             so rise=2 and run=1 that means Sam needs to count up 2 and right 1 to graph the equation using the given slope.

We can use the concept of Line Intercept form . She should count up 2 and right 1 . So the correct option is D.

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Answer:

36 ft

Step-by-step explanation:

Given equation: y = √25 - x^2

The domain of this equation is all real values of x such that √25 - x^2 is defined.

Step 1: Write the equation in terms of x only so that we can identify the domain:

y = √25 - x^2

=> x^2 = √25 - y

=> x = √(√25 - y)

Step 2: Since "√25-y" must be greater than or equal to 0 for the equation to be defined, we can set the inequality to find the domain for x as:

√25 - y ≥ 0

=> -y ≥ -√25

=> y ≤ √25

Therefore, the domain for the equation y = √25 - x^2 is all real values of x such that y is less than or equal to √25. Represented in the standard form of intervals, this can be written as:

Domain: x ∈ (-∞, +∞) and y ∈ [0, √25]

Answer:

  see below

Step-by-step explanation:

The equations you have are in "slope-intercept form." The slope of the line is the coefficient of x. The y-intercept is the added constant.

Both the slopes and intercepts take on the values ±2 and ±1/2. This requires that you understand what each value looks like on the graph.

A slope of 2 will have a rise of 2 units for each run of 1 unit to the right. A graph with a slope of 2 will have a relatively steep line going upward to the right. (A slope of -2 will be a steep line going downward to the right.)

Similarly, a slope of 1/2 will have a rise of 1 unit for each two units to the right. A line with this slope will go up to the right with a less-steep rise. There is only one graph in the group with a slope of 1/2. Of course, a line with a slope of -1/2 will have a shallow angle down to the right.

__

The y-intercept is where the line crosses the y-axis (the dark vertical line in the middle of the graph, labeled y). The y-intercepts at ±1/2 are somewhat difficult to determine for the steep lines. (A careful look is needed.) However, the y-intercepts of ±2 are easily seen for the shallow lines.

The various graphs are sorted in the attachment.