Mathematics College

Which of the following terms correctly describes 4:1?

Answers

Answer 1

Answer:

The answer is Ratio

Step-by-step explanation:

Answer 2

Ratio, correctly describes the expression, 4:1. Option (A) is correct.

Let's discuss the given options.

(A) Ratio: In mathematics, ratio is a comparison of two  numbers, it is  expressed in the form of "a : b," where "a" and "b" are the quantities being compared. It shows the relative proportion between the values.

(B) Percent: When we want to represent a fraction or ratio as a number out of 100, a percent is used. It represents by the symbol %. For example, 40% = 40 out of 100 or 40/100.

(C) Factor: A number that evenly divides another number without producing a residual is referred to as a factor. For example, 1,2,3 are the factors of 6 because they divide 6 without any remainder.

(D)  Fraction : A fraction represents a part of a whole. It is in the form of numerator divided by denominator. For example, 2/5 represents 2 parts out of 5 equal parts.

Now, take the given expression, which is 4:1. The definition of ratio fits well for this expression. It means that there are four units of one quantity for every one unit of the other quantity.

Hence, 4:1 is a ratio. Option (A) is correct.

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The complete question is as follows:

Which of the following terms correctly describes 4:1?

(A) Ratio

(B) Percent

(C) Factor

(D) Fraction.

Related Questions

Is a cubic inch is the space taken by a cube whose sides are 1 inch long?

Answers

Hello!

A cubic inch is the space taken by a cube that sides are 1 inch long

The answer is Yes or true

Hope this helps!

HELP FAST!! What is the volume of a right rectangular prism with a base that measures 4 in by 6 in. and a height of 7 in? A) 17 in.3. B) 51 in.3. C) 84 in.3. D) 168 in.3.

Answers

Hello!

What you need to do first is multiply 6 and 4 together. Once you've done that, you now have 24. You now need to multiply 24 by 7 to get 168. Now you have 168 in³ for your Volume.

I hope this helps!

Answer:

d

Step-by-step explanation:

hey can you please help me posted picture of question

Answers

The correct answer is option B.

Solution is shown below

[tex]y= 4 x^{3} \\ \\ \frac{y}{4} = x^{3} \\ \\ \sqrt[3]{\frac{y}{4}} =x \\ \\ f^{-1}(y)= \sqrt[3]{\frac{y}{4}} \\ \\ f^{-1}(x)= \sqrt[3]{\frac{x}{4}} \\ \\ y^{-1}= \sqrt[3]{\frac{x}{4}} [/tex]
The correct answer is B

Help Please..

Arrange from smallest to largest

0.2 , 0.06, 0.602, 0.026, 0.21

Answers

0.026, 0.06, 0.21, 0.2, 0.602

how does the division look for 8.43206 ÷ 26

Answers

The division looks like 8.43206/26, or 0.32431in decimal form.



Have a great day!

julie will build a rectangular pen for her dog against a barn. A wall from the barn will from one side of the pen. She has 32m of fencing to form the other three sides. She plans to build the pen so that it has its maximum possible area. What will be the dimensions of julie's pen?

Answers

The answer is 8 m by 16 m. I just answered this on my quiz.

the answer is 8 and 16

Anyone care to help with this please

Answers

The general equation is y = a sin(b[x+c]) + d, where a is the amplitude, b is the frequency, and d is the midline.
For the first equation, only one choice has a midline y = 4, which is h(x).
For the second equation, the first and fifth choices have midline y = 8, but the frequency of 2 only fits the fifth choice: q(x).
For the third equation, the midline of y = 1 only fits g(x).
The fourth equation has midline y = 2 and frequency of 4, which only fits the last choice, r(x).

A college cafeteria pays student cashiers $10.20 per hour. Cashiers earn an additional $1.30 per hour for each hour worked over 35 hours per week. A cashier worked 40 hours one week and 38 hours the second week. How much did this cashier earn in this two-week period?

Answers

First week: 40 hours

Total Earning = 40 x $10.20 + (40 - 35) x $1.30 = $414.50

Second Week: 38 hours
Total Earning = 40 x $10.20 + (40 - 38) x $1.30 = $410.60

Total for the two weeks = $414.50 +  $410.60 = $825.10

Answer: $825.10

Answer:

$806

Step-by-step explanation:

The regular earning of a cashier = $10.20 per hour

over 35 hours per week he gets = $10.20 + $1.30 per hour

                                                      = $11.50 per hour

He worked 40 hours in first week and 38 hours the second week.

His earnings in first week  = (35 × 10.20) + (5 × 11.50)

                                           = $357 + $57.5

                                           = $414.50

His earnings in second week = (35 × 10.20) + (3 × 11.50)

                                                 = $357 + $34.50

                                                 = $391.50

His total earnings in this two weeks = $391.50 + $414.50

                                                            = $806

His total earning was $806.

What is the height of a triangle that has an area of 60 yd squared and a base with a length of 12 yd

Answers

the answer would be 0.4yd
The answer is:  " 10 yd. " . 
_______________________________________________________
The height of the triangle is:  " 10 yd " .
_______________________________________________________
Explanation:
_______________________________________________________
The formula for the area, "A", of a triangle is:

          →   " A = (b * h) / 2  " ; 

in which:  " A = area (in square units;  in this case;  "yd² " ; 
                       
                      = " 60 yd² " {given} ; 

                  "b = base length = 12 yd" {given} ; 

                  "h = [perpendicular] height ; for which we shall solve;
_______________________________________________________

 →  A = (b * h) / 2 ;  

 → Rearrange the equation to isolate "h" on one side of the equation; since we need to solve for "h" (height) ; 

→  Multiply each side of the equation by "2" ; 

→  2 * A = 2 * [ (b * h) / 2 ] ;

to get:

→  2A  = b * h ; 

↔  b * h = 2A ; 

Divide each side of the equation by "b" ; 
          to isolate "h" on one side of the equation; 

→  (b * h) / b  =  2A / b ; 

→  h = 2A / b ; 

Now, plug in our given values for "A" and "b" ;  
    to solve for "h" ; 

→  h = (2* 60 yd²) / (12 yd) ; 

         = (120 yd²) / (12 yd). 

         = 10 yd.

→  h = 10 yd.
_______________________________________________________
The answer is:  " 10 yd. " . 
_______________________________________________________
The height of the triangle is:  " 10 yd " .
_______________________________________________________

What is the quadratic function with the given vertex and through the given point? Write the equation of the parabola in vertex form and describe how the function was transformed from the parent function y = x2.
vertex (0, 0), point (−2, 2)

Answers

1) The vertex equation of the quadratic function has the form:

y = A(x - h)² + k

Where h is the x-coordinate of the vertex and k is the y-coordinate of the vertex.

The coefficient A may be found when you have another point of the quadratic function.

2) Therefore, being the vertex (0,0), h = 0 and k = 0, and the equation is

y = Ax²

3) Replacing the coordinates of the point (-2,2) into the equation you get:

2 = A (-2)² ⇒ A = 2/4 = 1/2

4) The resulting equation is y = (1/2)x² ← answer

Since, the system is giving me an error, I had to put the second part of the answer in a separate file. Please, see the attached pdf file.
Final answer:

The quadratic function with vertex (0, 0) and passing through the point (-2, 2) is y = 0.5x^2. This is a transformation of the parent quadratic function y = x^2 with a vertical stretch by a factor of 0.5.

Explanation:

The quadratic function with the given vertex (0, 0) and going through the point (-2, 2) can be written in the form of the vertex form of a quadratic function i.e. y = a(x - h)² + k, where (h, k) is the vertex of the parabola. Since the vertex given is (0,0), the function becomes y = ax².

Now, to find the value of 'a', we can substitute the x and y coordinates of the given point (-2,2) into the equation. So, 2 = a(-2)², this simplifies to 2 = 4a. Solving for 'a', we get a = 0.5. So, the function is y = 0.5x².

This function is a transformation of the parent function y=x². The 0.5 in front of x² means that the graph of the function stretches vertically by a factor of 0.5. Thus, the parabola opens upwards and is narrower than the parent function.

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Given that P = (-5, 5) and Q = (-13, 6), find the component form and magnitude of 2vector PQ

Answers

ANSWER

Component form:

[tex]\binom{ - 16}{2} [/tex]

2. Magnitude

[tex]2\sqrt{65} [/tex]

EXPLANATION

Given that P = (-5, 5) and Q = (-13, 6),

Vector PQ

[tex] = \binom{ - 13}{6} - \binom{ - 5}{5} [/tex]

[tex] = \binom{ - 13 + 5}{6 - 5} [/tex]

[tex] = \binom{ - 8}{1} [/tex]

2 vector PQ

[tex] = 2 \binom{ - 8}{1} [/tex]

[tex] = \binom{ - 16}{2} [/tex]

This is the component form.

The magnitude is given by

[tex] = \sqrt{ {x}^{2} + {y}^{2} } [/tex]

[tex] = \sqrt{ {( - 16)}^{2} + {2}^{2} } [/tex]

[tex] = \sqrt{256 + 4} [/tex]

[tex] = \sqrt{260} [/tex]

[tex] = 2\sqrt{65} [/tex]

Given the following sets:
A={ 2, 4, 6, 8, 10}
B={ 3, 5, 7, 9}
C={ 2, 3, 5, 7}
N={ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Match the following Unions and intersections to the correct set.

1.
What is A U C?

2.
What is A ∩ B?

3.
What is A ∩ N?

4.
What is B ∩ N?

5.
What is B U C?

{2, 3, 4, 5, 6, 7, 8, 10}


{2, 3, 5, 7, 9}


{ }


{3, 5, 7, 9}


{2, 4, 6, 8, 10}

Answers

A = {2, 4, 6, 8, 10}
B = {3, 5, 7, 9}
C = {2, 3, 5, 7}
N = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

1. A ∪ C = {2; 3; 4; 5; 6; 7; 8; 10}
2. A ∩ B = { } =Ø
3. A ∩ N = {2; 4; 6; 8; 10} = A
4. B ∩ N = {3; 5; 7; 9} =B
5. B ∪ C = {2; 3; 5; 7; 9}

Can you please help me with this math problem

Answers

This question is nasty. It sounds like you should be finding area of the figure you see. I'll do that first, although I don't think it's the right answer. (But it might be).

Area Trapezoid = (b1 + b2) * h / 2
b1 = 8
b2 = 12
h = 5
Area Trapezoid = (8 + 12 ) * 5 / 2
Area Trapezoid = 20 * 5/2
Area = 50 square feet.

The problem is that no lumber yard will cut that for you without charging you. The practical answer is 12 * 5  = 60 square feet is what you will have to buy. Then you cut out the triangles for yourself.

This question is nasty. It sounds like you should be finding area of the figure you see. I'll do that first, although I don't think it's the right answer. (But it might be).


Area Trapezoid = (b1 + b2) * h / 2

b1 = 8

b2 = 12

h = 5

Area Trapezoid = (8 + 12 ) * 5 / 2

Area Trapezoid = 20 * 5/2

Area = 50 square feet.


The problem is that no lumber yard will cut that for you without charging you. The practical answer is 12 * 5  = 60 square feet is what you will have to buy. Then you cut out the triangles for yourself.



Q and R are not mutually exclusive events. p (q) = 3/5 p(r) = 1/3 and p ( q and r)= 1/5 find P(Q or R).

Answers

Recall the inclusion/exclusion principle:

[tex]\mathbb P(Q\cup R)=\mathbb P(Q)+\mathbb P(R)-\mathbb P(Q\cap R)[/tex]

which means

[tex]\mathbb P(Q\text{ or }R)=\dfrac35+\dfrac13-\dfrac15=\dfrac{11}{15}[/tex]

The answer to this item is 23/32.

What is probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

Given that the events are not mutually exclusive the union of the probability of the events is calculated through the equation,

P(Q or R) = P(Q) + P(R) - P(Q and R)

Substituting the known values,

P(Q or R) = 3/5 + 1/3 - 1/5

Simplifying,

P(Q or R) = 11/15

Hence the answer to this item is 23/32.

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If p ( x ) = 8 + 6 x − 4 x 2 p(x)=8+6x-4x2 represents the profit in selling x x thousand boombotix speakers, how many speakers should be sold to maximize profit?

Answers

Final answer:

To maximize the profit from selling Boombotix speakers, the company should sell 0.75 thousand speakers, or 750 speakers, which is determined by finding the vertex of the profit function p(x) = 8 + 6x - 4x2.

Explanation:

The function p(x) = 8 + 6x - 4x^2 represents the profit from selling x thousand Boombotix speakers. To find the number of speakers that should be sold to maximize profit, we need to find the vertex of the parabola represented by this quadratic function, which is a downwards opening parabola because the coefficient of x^2 is negative (-4).

The vertex form of a quadratic function is p(x) = a(x-h)2 + k, where (h, k) is the vertex of the parabola. The x-coordinate of the vertex (h) can also be found using the formula h = -b/(2a) where a is the coefficient of x2 and b is the coefficient of x in the standard form of the quadratic function. In this case, a = -4 and b = 6. Applying the formula:

h = -b/(2a) = -6/(2 * -4) = -6 / -8 = 0.75

Hence, the company should sell 0.75 thousand speakers, or 750 speakers, to maximize profit.

Find an equation of the line described. Write the equation in​ slope-intercept form when possible. Slope 1​, through (-4,3)

Answers

The equation of the line:

[tex]y=mx+b[/tex]


The point-slope form of the equation of the line:

[tex]y-y_1=m(x-x_1)[/tex]

We have:

[tex]m=1\ and\ A(-4;\ 3)\to x_1=-4\ and\ y_1=3[/tex]

Substitute:

[tex]y-3=1(x-(-4))\\\\y-3=x+4\ \ \ |+3\\\\\boxed{y=x+7}[/tex]

Solve the systems x ≡ 1 (mod 2), x ≡ 2 (mod 3). x ≡ 2 (mod 5), 2x ≡ 3 (mod 7), 3x ≡ 4 (mod 11). x ≡ 31 (mod 41), x ≡ 59 (mod 26).

Answers

Working with the relation of "congruence modulo" is a bit hard, so lets convert this congruence modulo relations to equations.

We know that '[tex]x=1(mod 2)[/tex]' means 2 divides '[tex]x-1[/tex]'. Keep in mind I can't add a three line "equality" symbol in Brainly...

The previous can be written with this statement:
[tex]x-1=2k[/tex]
In which '[tex]k[/tex]' is any integer.

From the previous equation is very easy to see that '[tex]x=2k+1[/tex]'.

We write the remaining congruence modulo relations as equations and solve for them in similar fashion: 
[tex] x_{1}-2=3k [/tex]
[tex] x_{2}-2=5k [/tex]
[tex] 2x_{3}-3=7k [/tex]
[tex] 3x_{4}-4=11k [/tex]
[tex] x_{5}-31=41k [/tex]
[tex] x_{6}-59=26k [/tex]

Now we solve for the x's, remember, k is any integer!
[tex] x_{1} =3k+2[/tex]
[tex] x_{2} =5k+2[/tex]
[tex] x_{3} = \frac{7k+3}{2} [/tex]
[tex] x_{4} = \frac{11k+4}{3} [/tex]
[tex] x_{5} =41k+31[/tex]
[tex] x_{6} =26k+59[/tex]

Suppose a weather forecaster says the probability that it will rain on saturday is 2929​% and the probability that it will rain on sunday is 4040​%. from this​ information, is it possible to find the probability that it will rain on saturday or sunday​ (or both)? why or why​ not?

Answers

Yes because you are given both probabilities you can calculate the OR

Cross section of a metal ingot is a trapezoid the cross section has an area of 39 square cm the top base of the cross section is 12 CM the length of the bottom base is 2 cm greater than the top base how tall is the Metal Ingot explain

Answers

The area of a trapezoid is given by the formula
  A = (1/2)(b₁ +b₂)×h
Fill in the given information and solve for h.
  39 cm² = (1/2)(12 cm +(12 cm +2 cm))×h
  39 cm²/(13 cm) = h = 3 cm

The height of the metal ingot is 3 cm.

the angle of the first hill of a roller coaster is 55 degrees. if the length of the track from the beginning of the ascent to the highest point is 98 feet, what is the height if the roller coaster when it reaches the top of the first hill?

Answers

The height of the ascent will be given by:
sin θ=opposite/hypotenuse
θ=55°
opposite=h
hypotenuse=98 ft
thus the height will be:
sin 55=h/98
solving for h we get:
h=98×sin55
h=80.28 ft
Thus the height is 80.28 ft

A population of protozoa develops with a constant relative growth rate of 0.8877 per member per day. on day zero the population consists of six members. find the population size after five days. (round your answer to the nearest whole number.) p(5) = members

Answers

The exponential equation for the number of protozoa can be written as ...
  p(t) = 6×1.8877^t

The population size when t=5 is then
  p(5) = 6×1.8877^5 ≈ 144 . . . . members

Use the given information to find the indicated probability. a and b are mutually exclusive. p(a) = .8, p(b) = .1. find p((a ∪ b)').

Answers

If [tex]A[/tex] and [tex]B[/tex] are mutually exclusive, then

[tex]\mathbb P(A\cup B)=\mathbb P(A)+\mathbb P(B)=0.8+0.1=0.9[/tex]

Then [tex]\mathbb P((A\cup B)')=1-\mathbb P(A\cup B)=0.1[/tex].

The price of an item has risen to $276 today. Yesterday it was $115. Find the percentage increase.

Answers

are you kidding me, bro? lol

276-115=131
131 divided by 276 = 0.47

0.47% increase
Final answer:

The student's question asked for finding the percentage increase in an item's price. This can be calculated by subtracting the initial price from the final price, dividing that difference by the initial price, and then multiplying the result by 100. In this case, the price of the item has increased by 140% from yesterday to today.

Explanation:

To find the percentage increase of the price of an item, we subtract the initial price from the final price, then divide that number by the initial price, finally multiply that result by 100 to obtain the percentage. In this case, the initial price of the item was $115, and the final price is $276.

Here's how the calculation works:

Subtract the initial price from the final price: $276 - $115 = $161. Divide the difference by the initial price: $161 / $115 ≈ 1.4. Multiply the result by 100 to get the percentage increase: 1.4 * 100 = 140%.

Therefore, the price of the item has increased by 140% from yesterday to today.

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you are painting a room that is 18 ft long, 14 ft wide and 8 ft high. find the area of the four walls that you are going to paint.

Answers

512 ft squared.
  (14)(8)*2
+(18)(8)*2
equals 512.

Final answer:

The total area to be painted is 512 square feet, calculated by summing up the areas of the two longer walls (288 sq ft) and the two shorter walls (224 sq ft). For time estimation, the linear equation would be t = 4 + (512/1000), resulting in approximately 4.51 hours of painting time.

Explanation:

To calculate the area of the four walls in a room for painting, you will be finding the surface area of the sides not including the floor or ceiling. First, you need to calculate the area of the two longer walls and the two shorter walls separately.

For the longer walls, the area for one wall is 18 ft (length) times 8 ft (height), which gives you 144 square feet for one long wall. There are two such walls, so multiply by 2, which equals 288 square feet for both long walls.

For the shorter walls, the calculation is similar. The area for one short wall is 14 ft (width) times 8 ft (height), which gives 112 square feet for one short wall. With two short walls, the total is 224 square feet.

Add the area of the long walls and the area of the short walls together to get the total painting area: 288 sq ft + 224 sq ft = 512 square feet.

To express this as part of a linear equation for time estimation given in the scenario, if it takes one hour per 1,000 square feet, we would use the equation t = 4 + (A/1000), where t is the total time in hours and A is the area in square feet. Since the painting area is 512 square feet, the painting time is t = 4 + (512/1000), giving 4.512 hours, which rounds up to approximately 4.51 hours.

what integer and 9 have the product of -135

Answers

The answer would be -15

-15 times 9 equals -135

:) Have a nice day and maybe consider grading this answer brainliest? <3

Find the greatest common divisor of 100 and 254, using • prime factorization- • euclidean algorithm-

Answers

Via prime factorization:

[tex]100=10^2=2^2\cdot5^2[/tex]
[tex]254=2\cdot127[/tex]

of which the only common factor is a single power of 2, so [tex]\mathrm{gcd}(100,254)=2[/tex].

Via the Euclidean algorithm:

[tex]254=2\cdot100+54[/tex]
[tex]100=1\cdot54+46[/tex]
[tex]54=1\cdot46+8[/tex]
[tex]46=5\cdot8+6[/tex]
[tex]8=1\cdot6+2[/tex]
[tex]6=3\cdot2+0[/tex]

which means [tex]\mathrm{gcd}(100,254)=2[/tex], as expected.
Final answer:

The Greatest Common Divisor (GCD) of 100 and 254 can be found using Prime Factorization and the Euclidean Algorithm. Both methods produce a GCD of 2.

Explanation:

The student is asking for how to find the Greatest Common Divisor (GCD) of 100 and 254 using two different methods: Prime Factorization and the Euclidean Algorithm.

Prime Factorization: Start by writing down each number's prime factors. The prime factors for 100 are 2, 2, 5, 5 and the prime factors for 254 are 2, 127. The GCD is the product of the smallest power of each common prime number. In this case, the only common prime number is 2, so the GCD by prime factorization is 2.Euclidean Algorithm: This method begins with the larger number (254) and divides it by the smaller one (100). Write down the remainder (54). Then, divide the smaller number (100) by the remainder from the last step (54) to get a new remainder (46). The process is repeated until there is no remainder. The last non-zero remainder serves as the GCD. In this case, the process would continue as follows: 54 divided by 46 equals 1 remainder 8, then 46 divided by 8 equals 5 remainder 6, then 8 divided by 6 equals 1 remainder 2, then 6 divided by 2 equals 3, no remainder. Therefore, the GCD by Euclidean Algorithm is also 2.

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hey can you please help me posted picture of question

Answers

The linear parent function is y = x

it has a slope equal to 1 and passes through the origin. All the other linear functions are derived from this parent function.

So, the correct answer to this question is option B

Which stem-and-leaf plot represents the data? 15, 16, 15, 48, 48, 63, 15, 29, 16, 30, 48 A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 5, 5, a stem value of 2 with a leaf value of 9, a stem value of 3 with a leaf value of 0, a stem value of 4 with a leaf value of 8, a stem value of 5, and a stem value of 6 with a leaf value of 3. Key: 1|5 means 15 A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 6, a stem value of 2, a stem value of 3 with a leaf value of 0, and a stem value of 4 with a leaf value of 8, 8, 8. Key: 1|5 means 15 A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, 6, 6, a stem value of 2 with a leaf value of 9, a stem value of 3 with a leaf value of 0, a stem value of 4 with a leaf value of 8, a stem value of 5, and a stem value of 6 with a leaf value of 3. Key: 1|5 means 15 A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, a stem value of 2 with a leaf value of 9, a stem value of 3 with a leaf value of 0, a stem value of 4 with a leaf value of 8, 8, 8, a stem value of 5, and a stem value of 6 with a leaf value of 3. Key: 1|5 means 15

Answers

The stem and leaf plot that would be created would be the last choice.

Here is the data in order and the Stem and Leaf plot created:

15, 15, 15, 16, 16, 29, 30, 48, 48, 48, 63

Stem|Leaf
     1 | 5 5 5 6 6 
     2 | 9
     3 | 0
     4 | 8 8 8
     5 |
     6 | 3

Key:1|5 = 15

Options: A

A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 5, 5, A stem value of 2 with a leaf value of 9, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, A stem value of 5A stem value of 6 with a leaf value of 3.

Key: 1|5 means 15

Options: B

A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 6, A stem value of 2, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, 8, 8.

Key: 1|5 means 15

Options: C

A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, 6, 6, A stem value of 2 with a leaf value of 9, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, A stem value of 5, and a stem value of 6 with a leaf value of 3.

Key: 1|5 means 15

Options: D

A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, A stem value of 2 with a leaf value of 9, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, 8, 8, A stem value of 5A stem value of 6 with a leaf value of 3.

Key: 1|5 means 15

Answer:

Options: D

A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, A stem value of 2 with a leaf value of 9, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, 8, 8, A stem value of 5A stem value of 6 with a leaf value of 3.

Key: 1|5 means 15

Step-by-step explanation:

Given: 15, 16, 15, 48, 48, 63, 15, 29, 16, 30, 48

To plot a stem and leaf plot, first rearrange the observations in ascending order: 15, 15, 15, 16, 16, 29, 30, 48, 48, 48 , 63

Next, is to get the range of values

Low: 15

High = 63

Next, is to identify the stems

Using the range of 15 to 63, we need stems of 1, 2, 3, 4, 5 and 6

In tabular form, the stems are:

Stems ||

1  ||

2  ||

3  ||

4  ||

5  ||

6 ||

Next, is to fill in the leafs

Stem || Leaf

1 || 5 5 5 6 6

2 || 9

3 || 0

4 || 8 8 8

5 ||

6 || 3

Lastly, we write out our observations

1. The stem Value 1 has leaf values 5,5,5,6,6

2. The stem Value 2 has a leaf value 9

3. The stem Value 3 has a leaf value 0

4. The stem Value 4 has leaf Values 8,8,8

5. The stem Value 5 has no leaf

6. The stem Value 6 has leaf value 3

Comparing the observation with the options, option D represents the stem-and-leaf plot representation of 15, 16, 15, 48, 48, 63, 15, 29, 16, 30, 48  

Determine the number of solutions the following system of equations will have: 1/3 y - 5 = 2x y = 15 + 6x

Answers

For this case we have the following system of equations:
 1/3 y - 5 = 2x
 y = 15 + 6x
 The equations are linearly dependent, that is, there is a scalar that allows us to write an equation as a linear combination of the other.
 We multiply the equation (1) by a scalar, which will be 3:
 3 * (1/3 y - 5) = 3 * (2x)
 Rewriting:
 y-15 = 6x
 y = 15 + 6x
 Answer:
 Therefore, if there is a solution, then there are infinite solutions.

6. Alice Correa bought three yards of cloth to make a dress. The cloth was on sale for $1.93 per yard. How much did Alice pay for the cloth if the sales tax was 5 percent? A. $5.79 B. $2.02 C. $6.08 D. $5.82

Answers

A: C. $6.08

$1.93 per yard x 3 yards = $5.79 before tax

5% sales tax means that there will be 0.05 added to the price of the product 

$5.79 x 1.05 = 6.0795 = $6.08
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