Justin bought 12 souvenirs
during 6 days of vacation. How
many days will Justin have to
spend on vacation before he will
have bought a total of 20
souvenirs?

23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.

No. of players = 29

No. of coaches = 4

Total fabric used for headbands = 773.85 inches

Total no. of people for headbands = 29 + 4

                                                          = 33

Fabric used for headband for 1 person = 773.85/33

                                                                 = 23.45 inches

Total fabric used for wristbands = 279.56 inches

Total no. of people for wristbands = 29

Fabric used for headband for 1 person = 279.56/29

                                                                 = 9.64 inches

Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.

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Answer:

1,281

Step-by-step explanation:

The slope of line is always 0.

what is slope of line?

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. where "m" represents a line's slope. So, the slope of a line is tan θ.

In question, output is always same(120). The line is always parallel to x-axis.

So, The slope of line is always 0.

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Answer:

0

Step-by-step explanation:

when the term has a coefficient of, it does not have to be written.

x- X/1

The sum of two opposites equals o

So the solution would be o

All the solutions are,

⇒ x = 1/2 (w- v)

⇒ x = (b - 9)/(a - 2)

⇒ x = (4 + w) / (7 - v)

⇒ x = 2 / (v + w)

⇒ x = 7v/(3w - 4)

Given that;

Expressions are,

⇒ 6x + v = 4x + w

⇒ ax + 9 = 2x + b

⇒ 7x - w = vx+4

⇒ 6 - wx = vx + 4

⇒ 3(wx - v) = 4(x + v)

We can simplify as;

⇒ 6x + v = 4x + w

⇒ 6x - 4x = w - v

⇒ 2x = w - v

⇒ x = 1/2 (w- v)

⇒ ax + 9 = 2x + b

⇒ ax - 2x = b - 9

⇒ (a - 2)x = b - 9

⇒ x = (b - 9)/(a - 2)

⇒ 7x - w = vx+4

⇒ 7x - vx = 4 + w

⇒ (7 - v) x = 4 + w

⇒ x = (4 + w) / (7 - v)

⇒ 6 - wx = vx + 4

⇒ vx + wx = 6 - 4

⇒ (v + w)x = 2

⇒ x = 2 / (v + w)

⇒ 3(wx - v) = 4(x + v)

⇒ 3wx - 3v = 4x + 4v

⇒ 3wx - 4x = 7v

⇒ (3w - 4)x = 7v

⇒ x = 7v/(3w - 4)

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The  graphed piecewise function is conformed of two lines, it can be written as::

Notice that we have two lines that conform the piecewise function.

The linear equation in the left passes through the points (-8, 8) and (-1, 1), so the slope is:

m = (1 - 8)/(-1 + 8) = -7/7 = -1

Then it is something like:

y = -x + b

To find the value of b we use the point (-1, 1), we will get:

1 = -(-1) + b

1 - 1 = b

0 = b

Then the first line is:

y = -x   if x < -1.

The second line passes through points (-1, -3) and (4, 2), then the slope is:

m = (2 + 3)/(4 + 1) = 1

And we can see that it intercepts the y-axis at y = -1, so the linear equation here is:

y = x - 1

Finally, the piecewise function is:

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Answer:

d) 1/12

Step-by-step explanation:

The end-points of the line segment will be negative 1.25 and 0.25.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The length of the line segment is 1.50 units and the midpoint of the line segment is negative 0.50. Then the end-points of the line segment are given as,

⇒ - 0.50 ± (1.50) / 2

Simplify the expression, then we have

⇒ - 0.50 ± (1.50) / 2

⇒ - 0.50 - (1.50) / 2, - 0.50 + (1.50) / 2

⇒ - 0.50 - 0.75, - 0.50 + 0.75

⇒ - 1.25, 0.25

The end-points of the line fragment will be negative 1.25 and 0.25.

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The sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.

To prove that m∠D + m∠F = 180∘, we can use the property of angles inscribed in a circle.

In a circle, an inscribed angle is equal to half the measure of its intercepted arc. Therefore, if we can show that arc DE + arc FG = 360∘, we can conclude that m∠D + m∠F = 180∘.

Let's start the proof:

1. Quadrilateral DEFG is inscribed in circle P. This means that all the vertices of the quadrilateral lie on the circumference of the circle.

2. Let's consider arc DE and arc FG. These arcs are intercepted by angles ∠D and ∠F, respectively.

3. By the property of angles inscribed in a circle, we know that the measure of an inscribed angle is equal to half the measure of its intercepted arc.

4. Therefore, m∠D = 1/2(arc DE) and m∠F = 1/2(arc FG).

5. We want to prove that m∠D + m∠F = 180∘. This is equivalent to showing that 1/2(arc DE) + 1/2(arc FG) = 180∘.

6. Combining the fractions, we have 1/2(arc DE + arc FG) = 180∘.

7. Now, we need to show that arc DE + arc FG = 360∘.

8. Since quadrilateral DEFG is inscribed in circle P, the sum of the measures of all the arcs intercepted by the sides of the quadrilateral is equal to 360∘.

9. This means that arc DE + arc EF + arc FG + arc GD = 360∘.

10. However, we can observe that arc EF and arc GD are opposite sides of the same chord, so they have equal measures. Therefore, arc EF = arc GD.

11. Substituting arc GD with arc EF in the equation from step 9, we have arc DE + arc EF + arc FG + arc EF = 360∘.

12. Simplifying the equation, we get 2(arc DE + arc EF + arc FG) = 360∘.

13. Dividing both sides by 2, we have arc DE + arc EF + arc FG = 180∘.

14. Comparing this result with step 7, we can conclude that arc DE + arc FG = 180∘.

15. Finally, going back to our initial goal, we can now substitute arc DE + arc FG with 180∘ in the equation from step 6: 1/2(180∘) = 180∘.

16. Simplifying, we have 90∘ = 180∘, which is a true statement.

17. Therefore, we have proven that m∠D + m∠F = 180∘.

Thus, we have successfully proved that the sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.

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Using the dot plot concept, it is found that the left plot on the bottom row shows an unfair data-generating process.

The dot plot shows the number of times each measure appears in the data-set.

In this problem, each trial has 5 possible outcomes and there are 20 trials, hence each number should appear 20/5 = 4 times.

On the left plot of the bottom row, outcomes 1 and 5 appear 7 times, while outcomes 2, 3 and 4 appear 2 times, which are the furthest values from 5, hence it is an unfair data-generating process.

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Answer:

Step-by-step explanation:

In Jameson's drawing, the nose cone has an area of 5 square inches. Each of the fins has an area of 3 square inches and the total area of the drawn rocket is 22 square inches.

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

The drawing (see attachment)

The area of the nose cone is

Area = 1/2 * 5 * 2

Area = 5 square inches

For the fin, we have

Fin = 1/2 * 3 * 2

Fin = 3 square inches

Lastly, we have

Total area = (4 + 2 + 1) * 2 + 5 + 3

Total area = 22 square inches

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The measure of x and y of the angles are x = 20° and y = 35°

Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Given data ,

Let the measure of the first angle be m₁ = ( 125 - y )°

Let the measure of second angle m₂ = 24°

Let the measure of third angle m₃ = ( x + 46 )°

Now , from the diagram , m₁ = 90°

So , the measure of m₁ = ( 125 - y )° = 90°

On simplifying , we get

Adding y on both sides , we get

125 = 90 + y

Subtracting 90 on both sides , we get

y = 35°

Now , m₁ + m₂ + m₃ = 180° ( angles on a straight line )

So , 90° + 24° + ( x + 46 )° = 180°

x + 46 = 66

Subtracting 46 on both sides , we get

x = 20°

So , the measure of ₃ = 66°

Hence , the measures of angles are solved

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Answer:

\(circumference = \pi \: d \\ 11.27\pi = \pi \: d \\ d = 11.27 \: ft\)

Answer:

________________

How many 3/4 cups of milk would be needed to make 21 cups of milk for a large recipe?

________________

ж

The four numbers are: -4, -2 ,0, 2 Answer.

How do you solve this: the sum of four consecutive even integers is equal to least of the integer

Solution: Let the numbers be n, n+2, n+4 and n+6.

Their sum = 4n+12 = n or

3n+12 = , or

3n = -12,

n= -4

therefore we get -4, -2, 0, 2

The four numbers are: -4, -2 ,0, 2 . Answer.

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The expression in the form (x +a)² + b is shown below.

We have to expression given expression in the form (x +a)² + b.

1. x² + 12x

x² + 12x + 36 - 36

= (x +6)² - 36

2. x² + 3x - 2

x² + 2 . 3x /2 - 9/4 + 9/4 -2

(x+ 3/2)² - 17/4

3. x²+ 1/2 x

x² + 2 . 1/4 x + (1/2)² - (1/2)²

= (x+ 1/2)² - 1/4

4. x² - 2/9 x

=  x² + 2 . 2/20 x + 4/400 - 4/400

= (x+ 2/200)² - 1/100

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Answer:

c

Step-by-step explanation:

Answer:

There are 42 oak trees and 70 pine trees. The solution is nonviable.

Step-by-step explanation:

:)

Answer:

sin = -√2 / 2

cos = √2 / 2

tan = -1

Step-by-step explanation:

Θ is in quad IV

sin = -√2 / 2

cos = √2 / 2

tan = -1

Answer and Step-by-step explanation:

The matching of the vocabulary word with its corresponding example is shown below:-

a. Data - The list of answers that the 85 Americans give.

Data refers the information that is to be collected.

b. Variable - The answer "Strongly Agree" or "Agree" or "Disagree" or "Strongly disagree".

Variable refers the changes of the expression according to the context.

c. Parameter - The proportion of all Americans who strongly agree that prisoners with life sentences who has Alzheimer's should be released.

A parameter is a quantity that affects a mathematical object's production or behavior, but is considered constant

d. Statistics - The proportion of 85 Americans surveyed who strongly agree that prisoners with life sentences who has Alzheimer's should be released.

Statistics is a field of mathematics involved in data collection, organisation and analysis.

e. Sample - The 85 Americans who participated in the survey.

A sample is the result of an experiment on randomly.

f. Population - All Americans

Population refers to the number of the public.

Answer:

a. Data - The list of answers that the 85 Americans give.

Data refers the information that is to be collected.

b. Variable - The answer "Strongly Agree" or "Agree" or "Disagree" or "Strongly disagree".

Variable refers the changes of the expression according to the context.

c. Parameter - The proportion of all Americans who strongly agree that prisoners with life sentences who has Alzheimer's should be released.

A parameter is a quantity that affects a mathematical object's production or behavior, but is considered constant

d. Statistics - The proportion of 85 Americans surveyed who strongly agree that prisoners with life sentences who has Alzheimer's should be released.

Statistics is a field of mathematics involved in data collection, organisation and analysis.

e. Sample - The 85 Americans who participated in the survey.

A sample is the result of an experiment on randomly.

f. Population - All Americans

Population refers to the number of the public.

Step-by-step explanation:

For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.

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Freya should budget a maximum of $472.50 for housing expenses based on the guideline of spending 30% of her monthly income.

When budgeting for housing, it is generally recommended to allocate a certain percentage of your income towards housing expenses. The recommended percentage varies depending on factors such as location, personal financial goals, and individual circumstances.

A common guideline is to spend no more than 30% of your monthly income on housing expenses. To determine the maximum amount Freya should budget for housing, we can calculate 30% of her monthly income:

Maximum housing budget = 30% of $1575

Maximum housing budget = 0.30 × $1575

Maximum housing budget = $472.50

Therefore, Freya should budget a maximum of $472.50 for housing expenses based on the guideline of spending 30% of her monthly income.

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Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

173 divided by 3 =57.6666667. So i estimated it to 60

Answer:

C. 68.1 ft.

Step-by-step explanation:

Hope this helps

Answer:

Trigonometric Identities and Applications Test Part 1

1. a,c,e

2. B sinx

3.b,d

4. D sec thea

5. b,c

6. A. 0.67

7. A sqrt 6- sqrt2/4

8. A cos^2 47=....

9. B 2+sqrt3/4

10. c,e

11. C .63

12. A 8.9

13 D 8.0

14 D 86.2

15 61.9 ft

16 writen

17. a,d

18. b,c

19 a,d

20 writen

Step-by-step explanation:

took part one and I missed some but it's to help others in need :)

Answer:

12 free throw attempts

Step-by-step explanation:

First, find what percent of free throw attempts he misses:

6/10

= 0.6

So, he misses 60% of the time. Multiply 20 by 0.6 to find how many you would expect Lamar to miss out of 20 attempts:

20(0.6)

= 12

So, you would expect Lamar to miss 12 free throw attempts

The present age of the elder brother is in a ratio of 23 to the present age of the younger brother, which can be simplified to a ratio of 5 to 4.

Let's assume the present age of the elder brother is E years, and the present age of the younger brother is Y years. According to the given information, the difference in their ages is 5 years, which can be expressed as E - Y = 5.

Six years ago, the elder brother's age was E - 6, and the younger brother's age was Y - 6. According to the second given condition, the product of their ages at that time was 696, which can be expressed as (E - 6)(Y - 6) = 696.

To find the ratio of their present ages, we need to solve the two equations simultaneously. We can start by expanding the second equation:

(E - 6)(Y - 6) = 696

EY - 6E - 6Y + 36 = 696

EY - 6E - 6Y = 660

Now we can substitute the value of E - Y from the first equation into the second equation:

(E - Y) - 6E - 6Y = 660

5 - 6E - 6Y = 660

-6E - 6Y = 655

Simplifying the equation:

6E + 6Y = -655

Now we have a system of linear equations:

E - Y = 5

6E + 6Y = -655

Solving these equations, we find that the present age of the elder brother (E) is 23 years and the present age of the younger brother (Y) is 18 years.

Therefore, the ratio of the present age of the elder brother to the younger brother is 23:18, which can be simplified to 5:4.

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Answer:1014$

Step-by-step explanation:796

                                           +214

                                           1014

Answer:

x = 9 or B

Step-by-step explanation:

Formula

(x + 2)^2 = 121                        

Comment

The easiest way to do this is to take the square root immediately, which is usually possible.

Solution

√(x + 2)^2 = √121                     Take the square root

x + 2 = 11                                   Subtract 2 from both sides

x + 2 -  2 = 11 - 2

x = 9

Answer: B) 9 inches by 9 inches

Step-by-step explanation:

Edg 2022

Number of countries would west Virginia be expected to have is  18 countries

The number of campgrounds that North Dakota has = 465 campgrounds

The number of countries = 12 countries

The number of campgrounds that West Virginia has = 711 campgrounds

Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.

The proportion will be

465 / 12 = 711 / x

Divide the terms

38.75 = 711 / x

x = 711 / 38.75

Divide the terms

x = 18.4

x ≈ 18 countries

Hence, number of countries would west Virginia be expected to have is  18 countries

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Answer: -24

Step-by-step explanation:

\(\frac{x}{3}=-8\\\frac{x}{3}(3)=-8(3)\\ x=-24\)

Step-by-step explanation:

A≈3.14mi²