A frame around a family portrait has a perimeter of 94 inches. The length of the frame is 7 inches less than twice the width. Find the length and width of the frame.

Answer:

x = 110

Step-by-step explanation:

The angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

x = 110

Answer:

110°

Step-by-step explanation:

Alternate exterior angles are congruent

Answer:

A visit must be of at least 42.39 minutes to put a shopper in the longest 10 percent.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 27.8 minutes and a standard deviation of 11.4 minutes.

This means that \(\mu = 27.8, \sigma = 11.4\)

How long must a visit be to put a shopper in the longest 10 percent?

The 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.28 = \frac{X - 27.8}{11.4}\)

\(X - 27.8 = 1.28*11.4\)

\(X = 42.39\)

A visit must be of at least 42.39 minutes to put a shopper in the longest 10 percent.

Answer:

30

Step-by-step explanation:

RST=RSV-TSV

2x+8=11x+10-101

2x-11x=10-8-101

-9x=-99

x=99/9

x=11

--->RST=2(11)+8

RST=30

Answer:

The answer is most likely A.

The reason why, is because since the earning in 6 hours is $94.50, so the hourly wage would be, $15.75 because:

94.50/6 = 15.75

Graph B, for the first hour, the amount of dollars is correct, but in 11 hours, it says 25.75, which is not correct so Graph B cannot be it.

Graph C, shows that at hour 1, that it is 15.75 dollars, but at hour 2 16.75, as well with hour 3, 17.75. The graph is showing an increase of 1 dollar per hour, which is not correct so graph C is not it.

Graph D shows that at hour 6, there is $94.50, which is correct, but at hour 12, its 100.50. This is not true because , the hour has increased by 6, and when it increased by 6, the amount of pay increased by 6 as well, which is not the right way in which you would do so.

Option A is correct!

Step-by-step explanation:

Hope it helps! =D

Answer:

It’s 2.07 pounds/in 3

Step-by-step explanation:

1 kilogram = 2.2 × pounds, so,2.07 × 1 kilogram = 2.07 × 2.2 pounds (rounded), or2.07 kilograms = 4.554 pounds.Step 2: Convert the decimal part in pounds to ouncesAn answer like "4.554 pounds" might not mean much to you because you may want to express the decimal part, which is in pounds, in ounces which is a smaller unit.So, take everything after the decimal point (0.55), then multiply that by 16 to turn it into ounces. This works because one pound equals 16 ounces. Thus,4.55 pounds = 4 + 0.55 pounds = 4 pounds + 0.55 × 16 ounces = 4 pounds + 8.8 ounces. So, 4.55 pounds = 4 pounds and 8 ounces (when rounded). Obviously, this is equivalent to 2.07 kilograms. Step 3: Convert from decimal ounces to a usable fraction of ounceThe previous step gave you the answer in decimal ounces (8.8), but how to express it as a fraction? See below a procedure, which can also be made using a calculator, to convert the decimal ounces to the nearest usable fraction: a) Subtract 8, the number of whole ounces, from 8.8:8.8 - 8 = 0.8. This is the fractional part of the value in ounces.b) Multiply 0.8 times 16 (it could be 2, 4, 8, 16, 32, 64, ... depending on the exactness you want) to get the number of 16th's ounces:0.8 × 16 = 12.8.c) Take the integer part int(12.8) = 13. This is the number of 16th's of a pound and also the numerator of the fraction.Finalmente, 2.07 quilogramas = 4 pounds 8 3/4 ounces.A fração 12/16 não está simplificada, e ainda pode ser reduzida para 3/4 para que possamos expressar como a fração mais simples possível.In short:2.07 kg = 4 pounds 8 3/4 ounces

*see attachment showing the 2 boxes

Answer:

3 ft²

Step-by-step explanation:

==>Given:

Box J with the following dimensions:

L = 4.5ft

W = 3ft

H = 2ft

Box F:

L = 3ft

W = 3ft

H = 3ft

==>Required:

Difference between the surface area of box J and box F

==>Solution:

Surface area = 2(WL + HL + HW)

=>S.A of box J = 2(3*4.5 + 2*4.5 + 2*3)

= 2(13.5 + 9 + 6)

= 2(28.5)

S.A of box J = 57 ft²

=>S.A of box F = 2(3*3 + 3*3 + 3*3)

= 2(9 + 9 + 9)

= 2(27)

S.A of box F = 54 ft²

Difference between box J and box F = 57 - 54 = 3 ft²

Answer:

Fraction[Total number of sections filled filled with parents] = 2¹/₁₀ section

Step-by-step explanation:

Given:

Total number of sections filled = 3¹/₂ = 7 / 2 sections

Number of fraction parents watching play = 3/5

Find:

Fraction[Total number of sections filled filled with parents]

Computation:

Fraction[Total number of sections filled filled with parents] = Total number of sections filled x Number of fraction parents watching play

Fraction[Total number of sections filled filled with parents] = [7/2] x [3/5]

Fraction[Total number of sections filled filled with parents] = 21 / 10 sections

Fraction[Total number of sections filled filled with parents] = 2¹/₁₀ section

Answer:

626

Step-by-step explanation:

11^2= 121

121+1=122

122x5=610

610+16=626

hope this helped

Answer: She should charge $10.50 for each box

Step-by-step explanation:

Total cookies = 960

Each box has 16 cookies

Her goal is $630

First, you want to find out how many boxes she made

960÷ 16 = 60

She made 60 boxes

Now you want to find the price for each box

630 ÷ 60 = 10.5

She should charge $10.50 for each box

I hope this helps!!!

Answer:

g(4) = 10

f⁻¹(11) = 1

h{g(4)} =

if h(x) = (10/x) – 3 = 7

if h(x) = 10/(x – 3) = 10/7

____________

f⁻¹(x) = (x - 4) / 7

Answer:

$9.20 per toy or $9.20/1

Step-by-step explanation:

$46/5 hours=9.2

Answer:

(a) x=5

(b) x= -1 1/3

(c) x= 1

Step-by-step explanation:

(a)                       (b)                        (c)

2(x-3)=4           −3(2x+1)=5          a(bx+c)=d

x−3=4/2           2x+1= −  5/3          d^1−1

x−3=2               2x= -5/3-3/3        d^0

x=2+3                 2x= -5-3/3           x=1

x=5                    2x= -8/3*2

                          x= -8/6

                          x= -4/3

Each bag contains 20 pennies and we have 6 such bags.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

From the given information let the number of pennies in each bag is 'x'

and we have 6 such bags.

Therefore, The equation can be formed as,

6(10 + x) = 180.

60 + 6x = 180.

6x = 180 - 60.

6x = 120.

x = 120/6.

x = 20.

So, The number of pennies in each bag is 20.

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Answer:

a+b/2×h=56

Step-by-step explanation:

thanks needed.......

Answer:

14.function because it goes through the origin

15.Nonlinear because if you graph it is not a straight line

16.Nonlinear because it is not a straight line

Answer:

5 ft is the width

Step-by-step explanation:

45/9= 5

5 ft is the answer

Answer:

26.5

Step-by-step explanation:

The areas of the three triangles given do not overlap. So the SUM (adding) of the three triangles is equal to the area of the pentagon.

Area of ABCDE

=ABC+ACD+AED

=7.95 + 9.8 + 8.75

= 26.5 sq units

Answer:

solution 1: 3

solution 2: 9

Step-by-step explanation:

1) solution 1 + solution 2 = 12;

2) solution 1 * solution 2 = 27;

3) only 3 and 9 meet these two requirements.

note. this equation can be resolved using another way.

The Total length of two sides based on the information will be 7x²+2x+1

The Length of the third side will be 4 x³-10x²-7.

Total length of two sides= Side 1 + Side 2

= 8x² − 5x − 2+ 7x − x²+ 3

= 8x²-x²-5x+7x-2+3

= 7x²+2x+1

Length of the third side = Perimeter - Total length of two sides

Length of the third side=4x³ − 3x² + 2x − 6-(7x²+2x+1)

= 4x³ − 3x² + 2x − 6-7x²-2x-1

= 4 x³-10x²-7

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The calculated value of the length of the arc AB is 19.18 feet

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

Central angle = 157 degrees

Radius, r = 7 ft

To find the length of an arc, we can use the formula:

length of arc = (central angle/360°) x (2πr)

where r is the radius of the circle.

Substitute the known values in the above equation, so, we have the following representation

length of arc = (157/360) x (2π * 7)

Evaluate

length of arc = 19.18

Hence, the length of the arc to the is 19.18 feet

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Azari, this is the solution to the exercise:

Let x to represent the unknown number.

Twice the difference of x and 10 is at least 17

2(x - 10) > = 17

2x - 20 >= 17

2x >= 17 + 20

2x >= 37

In consequence, the inequality that represents this sentence is:

2x >= 37

The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.

Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.

One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.

Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.

This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.

Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.

In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.

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To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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The percent of the 500 students surveyed who own an automobile or a motorcycle is 555 / 500 x 100 = 111%.

Surveys are a type of data collection method used to gather information from a group of people. Surveys are typically administered through questionnaires, interviews, or focus groups. Surveys are used to collect information regarding an individual’s or group’s opinions, behaviors, beliefs, or preferences. Surveys are often used to measure public opinion on a variety of topics and to make predictions about potential outcomes. Surveys are valuable tools for gaining insight into a wide range of topics and can be used to inform decisions and strategies.

The total number of students who own an automobile or a motorcycle is the sum of students who own an automobile, students who own a motorcycle, and students who own both an automobile and a motorcycle. This sum is 291 + 179 + 85 = 555.

Therefore, the percent of the 500 students surveyed who own an automobile or a motorcycle is 555 / 500 x 100 = 111%.

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Answer:

81

Step-by-step explanation:

√x > 9

Squaring both sides, you will get

x > 81

Answer:

Maria will spend $105.48 on all of the shirts.

Step-by-step explanation:

Multiply 8.79 by 12 :)

Answer:

105.48

Step-by-step explanation:

If each shirt costs 8.79 then you need to multiply 8.79 by 12 because she bought 12 shirts to get 105.48. I hope this helped!