Gemma and Leah are both jewelry makers. Gemma made 106 beaded necklaces. Leah made 39 more necklaces than Gemma.
a. Each necklace they make has exactly 104 beads on it. How many beads did both girls use altogether while making their necklaces?
b. At a recent craft fair, Gemma sold each of her necklaces for $14. Leah sold each of her necklaces for $10 more. Who made more money at the craft fair? How much more?

Answers

Answer 1

Answer:

Gemma made $34 more than Leah.

Step-by-step explanation:

Gemma made number of beaded necklaces = 106

Leah made 39 more necklaces than Gemma.

Leah made number of beaded necklaces  = 106 + 39 = 145

a. There are 104 beads on each necklace.

The total number of beads used altogether

= (106 × 104) + (145 × 104)

= 11,024 + 15,080

= 26,104

b. Gemma sold her 106 necklaces for = $14

Total price of her necklaces = 106 × 14

                                               = $1,484

Leah sold her 145 necklaces for = $10

Total price of her necklaces = 145 × 10

                                               = $1,450

Difference in Gemma and Leah's amount = 1484 - 1450 = $34.00

Therefore, Gemma made $34.00 more money than Leah.

Answer 2

Answer:

yo

Step-by-step explanation:

Gemma And Leah Are Both Jewelry Makers. Gemma Made 106 Beaded Necklaces. Leah Made 39 More Necklaces

Related Questions

Kyle practices 2.5 times as many hours as Grant does. Write an expression to
show how many hours Kyle practices. Let t equal the number of hours Grant
practices.

Answers

Final answer:

The expression to show how many hours Kyle practices is 2.5t, where t equals the number of hours Grant practices.

Explanation:

If Kyle practices 2.5 times as many hours as Grant does, and we let t represent the number of hours Grant practices, then the expression to show how many hours Kyle practices would simply be 2.5t. This is because we are given the ratio of Kyle's practice time to Grant's practice time, which we can use to express Kyle's practice time in terms of Grant's.

SUBTRACT

(−2x4−2x3+8x2+2)−(x4−5x3+2x+7)



Enter your answer, in standard form, in the box.

Answers

Answer:

[tex] -3x^{4} + 3{x}^{3} + 8{x}^{2}- 2x - 5[/tex]

Step-by-step explanation:

To avoid confusion, distribute the negative amongst all terms in the second set of parentheses.

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

Based on the calculations, the solution to the expression is [tex]-3x^4+3x^3+8x^2-2x-5[/tex]

What is the distribution property of multiplication?

The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.

Based on the information provided above, we have this expression:

[tex](-2x^4-2x^3+8x^2+2)-(x^4-5x^3+2x+7)[/tex]

By applying the distributive property of multiplication to the given expression, we would open the parentheses by distributing the negative sign as follows:

[tex]-2x^4-2x^3+8x^2+2-x^4+5x^3-2x-7\\\\-3x^4+3x^3+8x^2-2x-5[/tex]

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Complete Question:

SUBTRACT

[tex](-2x^4-2x^3+8x^2+2)-(x^4-5x^3+2x+7)[/tex]

Enter your answer, in standard form, in the box.

which of the following is the equation of a line parallel to the line y = -x + 1, passing through the point (4,1)?

Answers

Answer:

A. x + y = 5

Step-by-step explanation:

Parallel lines have SIMILAR RATE OF CHANGES [SLOPES], so -1 remains the same:

1 = -[4] + b

-4

5 = b

You have the equation, but all answer choices are in Standard Form, so we need to convert from Slope-Intercept to Standard:

y = -x + 5 >> Parallel Equation

+x + x

_________

x + y = 5 >> Standard Equation

I am joyous to assist you anytime.

0.003 is 1/10 of which decimal?
Ⓐ0.3
Ⓑ0.03
Ⓒ0.33
Ⓓ 0.333

Answers

The correct answer is B)

what is the answer to Simplify: √3/√15

Answers

Answer:

[tex]\frac{1}{\sqrt5}[/tex]

Step-by-step explanation:

[tex]\large{\frac{\sqrt{3}}{\sqrt{15}}=\frac{\sqrt{3}}{\sqrt{3.5}}=\frac{\sqrt{3}}{\sqrt{3}.\sqrt{5}}=\frac{1}{\sqrt{5}}}[/tex]

Which number has the lowest value ?
a) 1/2 +0.30 b) 0.10 + 3/4 c) 1/3 + 0.50 d) 1/3 +0.40

Answers

Hey!

-------------------------------

Let's Solve A:

1/2 = 0.5

0.5 + 0.30 = 0.80

a = 0.80

-------------------------------

Let's Solve B:

3/4 = 0.75

0.10 + 0.75 = 0.85

b = 0.85

-------------------------------

Let's Solve C:

1/3 ≈ 0.33

0.33 + 0.50 = 0.83

c = 0.83

-------------------------------

Let's Solve D:

1/3 ≈ 0.33

0.33 + 0.40 = 0.73

d = 0.73

-------------------------------

Answer:

By solving each equation we can see that option A has the lowest value!

-------------------------------

Hope This Helped! Good Luck!

Among these options, option (d) with a value of 0.73 has the lowest value.

How did we determine the lowest value?

To determine which number has the lowest value among the given options, let's calculate the values of each option:

a) 1/2 + 0.30 = 0.5 + 0.30 = 0.80

b) 0.10 + 3/4 = 0.10 + 0.75 = 0.85

c) 1/3 + 0.50 = 0.33 + 0.50 = 0.83

d) 1/3 + 0.40 = 0.33 + 0.40 = 0.73

Among these options, option (d) with a value of 0.73 has the lowest value.

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Thom earns $12.40 per hour at the
Yankee Bowling Alley. He regularly
works 40 hours per week. He is paid
time and a half for each our of overtime
work. Last week he worked 42 hours.
What was his gross pay for the week?​

Answers

Answer:

$3,645.6

Step-by-step explanation:

1hr=$12.4

42hrs=x

x=$520.8×7 =$3,645.6

Which of the following statements best summarizes nationalism in the Middle East during the 1920s?

Answers

The most accurate summary of nationalism in the Middle East during the 1920s is option c: Broken Western promises and conflicting nationalist goals set the nations of the former Ottoman Empire on the path to conflict.

After World War I, the Middle East experienced a surge in nationalist aspirations as the Ottoman Empire collapsed. However, the promises of self-determination made by Western powers, particularly through the Sykes-Picot Agreement and the Balfour Declaration, were largely unfulfilled.

This led to widespread discontent and conflicting nationalist goals, creating tensions and setting the stage for regional conflicts. Additionally, the imposition of artificial borders and the interference of Western powers further fueled nationalist sentiments, contributing to a turbulent period of political, social, and economic unrest in the Middle East during the 1920s.

The failure of Western promises and the clash of nationalist ambitions indeed played a pivotal role in shaping the trajectory of the region.

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The probable question may be:

Which of the following statements best summarizes nationalism in the Middle East during the 1920s?

a. Self-determination allowed the peaceful creation of new, modern nation states in the former Ottoman Empire.

b. The discovery of resources encouraged regional cooperation and introduced an era of prosperity for all people.

c. Broken Western promises and conflicting nationalist goals set the nations of the former Ottoman Empire on the path to conflict.

d. Turkey re-established the Ottoman Empire with a policy of tolerance towards the diverse groups of the region.

If a point, Ray, line segment, or plane intersects a segment at its midpoint, then it______ the segment

Answers:
Bisects
Multiplies
Parallels
Subtends

Answers

Answer: If A Point, Ray, Line Segment, or Plane intersects a segment at its midpoint, then it Bisects the segment.

Step-by-step explanation: A segment, ray, line, or plane that is perpendicular to a segment at its midpoint is called a perpendicular bisector. If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. Point is equidistant from two points if its distance from each point is the same.

The segment, ray, line, and plane parallel to a section is a perpendicular bisector that was at its center.When a point lies inside a segment's perpendicular bisector, this is equidistant from the parallel bisector.Two spots are called equidistant when the distance of each spot will be the same.When at its center a point, ray, line segment, and plane intersects that segment, then the segment bisects.

The wrong choice can be defined as follows

Multiplies is wrong because it is used as a mathematical sign.In maths, the parallel is also known as the lines that are not a plane and don't meet.The subtends are used as the contrary and stretch a straight angle from one side to the other, that's why it's wrong.

Therefore, the "Bisects" is the correct choice.

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Bisects: brainly.com/question/17445304

2, 8, 7, 8, 6, 15, 6, 3, 8
What is the range of the data?
ОА. 2
Ов. 6
Ос. 8
Op. 13
OE. 15

Answers

Answer: 13

Step-by-step explanation: To find the range of the data set shown here, let’s first go over what range is. The range of a data set is the difference between the greatest number and the least number.

To find the range of the data set shown here, we will need to subtract the least number from the greatest number.

Least number = 2

Greatest number = 15

Greatest number - least number = range

15 - 2 = range

13 = range

Therefore, the range of the data set shown here is 13.

The answer for the question is 13

Sam makes enough muffins to give 8 of her
friends 3 muffins each. Each tray holds 6
muffins. How many trays does she need?

Answers

Can you help I have tried 4 times

Sam needs [tex]4[/tex] trays.

Given:

The number of friends is [tex]8[/tex].

Muffins required for each friend are [tex]3[/tex].

The capacity of each tray is [tex]6[/tex] muffins.

To find:

The required number of trays.

Explanation:

Let [tex]x[/tex] be the required number of trays.

Total quantity of muffins in [tex]x[/tex] trays is [tex]6x[/tex].

Total quantity of required muffins is:

[tex]8\times 3=24[/tex]

Now,

[tex]6x=24[/tex]

[tex]x=\dfrac{24}{6}[/tex]

[tex]x=4[/tex]

Therefore, Sam needs [tex]4[/tex] trays.

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AN ice cream factory makes 230 quarts of ie cream in 2 hours. how many quarts could be made in 12 hours?what was the rate per day

Answers

it makes 2760 per 12 hours

can you guys help me out?

Answers

Answer:

5 inches

Step-by-step explanation:

V = (b² h) ÷ 3

Given that V = 25 and h = 3:

25 = (b² × 3) ÷ 3

25 = b²

b = 5

Therefore, the length of the base's sides is 5 inches.

What is 72 ÷ 8 + 4y3 when y = 3?

Answers

Answer:

117

Step-by-step explanation:

Given

72 ÷ 8 + 4y³ with y = 3, substitute y = 3 into the expression

= 72 ÷ 8 + 4 × 3³ ← evaluate exponent

= 72 ÷ 8 + 4 × 27 ← evaluate division and multiplication

= 9 + 108 ← calculate addition

= 117

Is 63÷17= 37?I don't know

Answers

Answer:

No.

Step-by-step explanation:

The answer needs to be rounded, but it's approximately 3.706

Answer:

No it is 3.70588235294

You can also round it up to 3.705 or 3.706

The total cost after tax to repair Deborah’s computer is represented by 0.07(4 0h) + 4 0h, where h represents the number of hours it takes to repair Deborah’s computer. What part of the expression represents the amount of tax Deborah has to pay? Explain

Answers

Answer:

depending on the national/ regional legal provisions in favour of the tax contributor where either the work is provided/ the computer was aquired/ placed, repaired/ the repair company has declared fiscal residency the cost ( in hours) could be determined by 0.07 ( 40h)

Final answer:

The expression 0.07(40h) in the equation represents the amount of tax Deborah has to pay. 0.07 stands for the 7% tax rate applied to the cost of repair, which is denoted by 40h.

Explanation:

The student has asked to identify the part of the expression in 0.07(4 0h) + 4 0h, which represents the tax Deborah has to pay for her computer repairs, where h represents the number of hours it takes to repair the computer. In this expression, the tax component is given by 0.07(40h).

The 0.07 represents the 7% tax rate on the cost of repair. The cost of repair, before tax, is represented by the term 40h. When you multiply 40h by 0.07, you are calculating 7% of the repair cost which equates to the tax amount.

The product of twice a number and six is the same as the difference of eleven times the number and 6/5 . Find the number

Answers

Answer:

-6/5

Step-by-step explanation:

solution;

let,the number be x,

product of twice of x and six = the difference

difference of eleven times x and 6/5

or, (2x×6)=(11×x)-(6/5)

or, 12x = 11x - 6/5

or, 12x - 11x = -6/5

therefore,x =-6/5

Therefore, the number required is (-6/5) whose product of twice a number and six is the same as the difference of eleven times the number and 6/5 .

what is the value of s(6)

Answers

Answer:

6s

Step-by-step explanation:

sx6 = 6s

1.6w - 1.2w + 3.5 + 4.7w

Answers

Answer:

8.6

Step-by-step explanation:

basically just do the order of operations

It’s simple I swear!!! what is the square root of 25 times the square root of 9

Answers

Answer:

15

Step-by-step explanation:

1st multiply the numbers: 25 × 9 = 225

2nd factor the number: 225 = √15^2

3rd apply radical rule: √15^2 = 15

Hope I helped :)

Answer:25 square root of 9

=25^9

Step-by-step explanation: if its a graph go to wolfram to see it because i cant draw it .

I hope I helps you.

In Exercises 13 - 18 , find the value of x so that the function has the given value. (See Example 3.)

Answers

Answer:

-9

The problem:

If h(x)=-7x and h(x)=63, the what is the value of x?

Step-by-step explanation:

h(x)=-7x

You are asked to find x such that h(x)=63.

So you are solving:

h(x)=63 for x:

-7x=63

Divide both sides by -7:

x=63/-7

Simplify:

x=-9

Let's check:

h(x)=-7x

h(-9)=-7(-9)

h(-9)=63

So -9 is the answer.

Final answer:

The value of x in the equation y = 9 + 3x for a given y value can be found by rearranging the equation to x = (y - 9) / 3, and substituting the desired y value.

Explanation:

The subject of this question is determining the value of x in the equation y = 9 + 3x. In this equation, the b term is 9 and the m term is 3, representing the y-intercept and the slope respectively. To find the value of 'x' that gives a specific 'y' value, one must rearrange the equation to solve for 'x': x = (y - 9) / 3. For example, if we wanted the y value to be 15, we would substitute into the equation and find that x = (15 - 9) / 3 = 2

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Teresa’s age is 5 years more than twice Ben’s age. If Ben is x years old, the expression _____ gives the sum of Ben’s and Teresa’s ages. If Ben is 7 years old, the sum of Ben’s and Teresa’s ages is _____ years.

Answers

Using a system of equations, it is found that:

If Ben is x years old, the expression 3x + 5 gives the sum of Ben’s and Teresa’s ages. If Ben is 7 years old, the sum of Ben’s and Teresa’s ages is 26 years.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given by:

Variable x: Ben's age.Variable y: Teresa's age.

Teresa’s age is 5 years more than twice Ben’s age, hence:

y = 2x + 5

The sum of their ages is:

x + y = x + 2x + 5 = 3x + 5.

Ben is 7 years old, hence the sum is given by:

3(7) + 5 = 26.

Then:

If Ben is x years old, the expression 3x + 5 gives the sum of Ben’s and Teresa’s ages. If Ben is 7 years old, the sum of Ben’s and Teresa’s ages is 26 years.

More can be learned about a system of equations at https://brainly.com/question/24342899

Final answer:

The sum of Ben's and Teresa's ages is represented by the expression 3x + 5, and when Ben is 7 years old, their total age is 26 years.

Explanation:

The expression to represent the sum of Ben's age and Teresa's age, given that Ben is x years old and Teresa's age is 5 years more than twice Ben's age, is 2x + 5 + x. This can also be simplified to 3x + 5.

When Ben is 7 years old, we plug in the value 7 for x in the simplified expression to calculate the sum of their ages: 3(7) + 5, which equals 21 + 5.

Therefore, the sum of Ben's and Teresa's ages when Ben is 7 years old is 26 years.

PLEEASSSSEEEE HHEEEEELLLLPPPPPPPP !!!!!!!!!!!!!!!!!!!!!!!!!!! Circle R is shown. Line segments Q R and S R are radii. The length of Q R is 18. Sector Q R S is shaded. The measure of central angle QRS is StartFraction 8 pi Over 9 EndFraction radians. What is the area of the shaded sector? 36Pi units squared 72Pi units squared 144Pi units squared 324Pi units squared

Answers

Answer:

[tex]144\pi\ un^2.[/tex]

Step-by-step explanation:

In the attached diagram, circle R is shown. Line segments QR and SR are radii and QR = SR = 18 units.

The measure of the central angle QRS is [tex]\dfrac{8\pi}{9}[/tex]

1. Find the area of the whole circle:

[tex]A_{circle}=\pi r^2=\pi \cdot 18^2=324\pi \ un^2.[/tex]

2. Note that the whole circle is determined by the full rotation angle with measure [tex]2\pi[/tex] radians. So,

[tex]\begin{array}{cc}\text{Angle}&\text{Area}\\ \\2\pi &324\pi \\ \\\dfrac{8\pi }{9}&A_{sector}\end{array}[/tex]

So, write a proportion:

[tex]\dfrac{2\pi}{\frac{8\pi}{9}}=\dfrac{324\pi}{A_{sector}}[/tex]

Cross multiply

[tex]2\pi \cdot A_{sector}=324\pi \cdot \dfrac{8\pi }{9}\\ \\A_{sector}=162\pi \cdot \dfrac{8}{9}=144\pi\ un^2.[/tex]

Answer:

144

Step-by-step explanation:

Rectangle HIJK has vertices H(-3, 2), I(4, 2), J(4, -3), and K(-3, -3). What are the coordinates of the image of I after a dilation by a factor of 1.5 centered at the origin?


A. I’(3, 6)
B. I’(6, 3)
C. I’(6, 2)
D. I’(8, 4)

Answers

Answer:

B. I’(6, 3)

Step-by-step explanation:

Multiply I(4, 2) by 1½:

2 × 1½ = 3

4 × 1½ = 6

So, your new coordinate is I'(6, 3).

I am joyous to assist you anytime.

Answer: B. I’(6, 3)

Step-by-step explanation:

The coordinates (x,y) of a shape after dilation by a factor of k centered at the origin is given by :-

[tex](x,y)\rightarrow(kx,ky)[/tex]

Given : Rectangle HIJK has vertices H(-3, 2), I(4, 2), J(4, -3), and K(-3, -3).

The coordinates of the image of I after a dilation by a factor of 1.5 centered at the origin will be :_

[tex]I(4,2)\rightarrow I' (1.5\times4, 1.5\times2)=I'(6,3)[/tex]

Hence, the coordinates of the image of I after a dilation by a factor of 1.5 centered at the origin =I’(6, 3)

John and his three brothers share a cell phone plan. The cell phone company charges a flat rate of $90 per month, which the four brothers share equally. In addition, the cell phone company charges 25 cents per megabyte of data downloaded. Each brother pays for his own downloaded data.
John's share of the current cell phone bill is $147.50.

Which equation determines how many megabytes of data John downloaded?

Answers

Answer:

(147.50 - 22.5)/.25

Step-by-step explanation:

First subtract his portion of the $90. Which is $22.5, when subtracted from 147.5 you get $125. Now divide $125 by .25 cents and you get the amount of megabytes he downloaded.

Answer: 22.5+0.25x=147.50

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Flat rate: $90, (share equally among the four brothers means 90/4 =$$22.5 each) Cost per megabyte: $0.25 John's share: $147.50

So, the equation is

22.5+0.25x=147.50

Where "x" is the number of megabytes of data that john downloaded

Feel free to ask for more if needed or if you did not understand something.

-9x-6y=15,9x-10y=145

Answers

-9x-6y=15

9x-10y=145

Find y first by eliminating the x.

Add the two equations together.

-9x+9x-6y+-10y=15+145

-6y+-10y=15+145

-6y-10y=160

-16y=160

divide both sides by -16 to get +y

-16y/-16=160/-16

y=-10

Use the substitution method to find x

-9x-6y=15

-9x-6(-10)=15

Do the bracket first

-9x+60=15

Move +60 to the other side. Sign changes from +60 to -60.

-9x+60-60=15-60

-9x=-45

Divide both sides by -9

-9x/-9=-45/-9

x=5

Answer:

( 5,-10)

A baker has 5 1/4 pies in her shop. She cut the pies in prices that are each 1/8 of a whole pie. How many slices of pie does she have

Answers

5_1/4 = 21/4.

21/4 - 1/8

LCD = 8

(42 - 1)/8

41/8 remains.

the factors of 6x-30 are ?

Answers

So you have 6x-30. The only factor I can think of for this is x+5. Because you have 6(x+5)= 6x+30

Answer:

6 and x - 5

Step-by-step explanation:

Given expression,

[tex]6x-30[/tex]

Since, factor of a number or an expression is obtained after breaking up the number or expression,

Or we can say a number is always divisible by its factor.

[tex]\because 6x - 30 = 6x - 6\times 5 = 6(x-5)[/tex]  ( By the converse  of distributive property )

Thus, 6 and x - 5 are the factors of 6x - 30.

There is a spinner with 13 equal areas, numbered 1 through 13. If the spinner is spun one time, what is the probability that the result is a multiple of 6 or a multiple of 4?

Answers

Answer:

5 out of 13

Step-by-step explanation:

you will see all the multiples of six and 4 between 1 and 13.Which are

6=6 and 12

4=4,8,12

which are five numbers so 5 out of 13

What is the median of this list of numbers? 5, 10, 13, 7,5

Answers

Median: The middle number when all the numbers are listed in order.

To find the median of the data set shown here, we can first start by putting all the numbers in order from least to greatest.

Least to greatest - 5, 5, 7, 10, 13

Next, we locate the number that is exactly in the middle and if there is no number exactly in the middle, we find the two numbers and find halfway point between them.

The number that is exactly in the middle of the data set is 7 so our median is 7.

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How do you turn 1/8 into a decimal and a percent What term describes this polygon?heptagondodecagon17-gon12-gon A student is shown images of different reactions which question would help a student determine which reaction is a peptide synthesis reactionA. Which image shows the disruption of the hydrogen bonds between Atoms in the molecules?B. Which image shows the stabilization of the hydrogen bonds between atoms in the molecules?C.Which image shows water as a product of the reaction between an amino acid in a car Bullock which image shows water as a product of the reaction between an amino acid and a carbonyl group?D. Which image shows water as a reactant of the reaction between an amino acid in a carboxyl group? A student pushes a box with a total mass of 50 kg. What is the net force on the boxif it accelerates 1.5 m/s2?51.5 N.48.5 N75N33.3 N When all network cables connect to one central point the network topology is typically referred to as a(n)_______ Please help with this math question graph Which of these describes the loss of biodiversity? A abnormal population growth rates, high life expectancy, and diverse industrial economies B declining number and variety of the species in an area C an equation relating the profitability of species to their abundance D the greed of individuals compared with the interest of the common good Which group largely supported adding a bill of rights to theConstitution?a. small statesb. large statesc. Federalistsd. Antifederalists Western farmers were particularly depended on ________________ for transportation of their crops than other regions of the country because they lacked roads or a significant river system. Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work.5 - 2x^2 = -15 Which of the following chemicals opens us binding sites allowing muscle filaments to connect to each other? Select one: a. ATP b. glucose c. sodium d. calcium What is true about the structure or function of the plasma membrane? Hydrophilic molecules attract the water the cell requires. The double layer prevents anything from entering the cell. The processes of endocytosis and exocytosis occur here. It is made entirely of integral proteins. sperm formation producesA. four diploid cellsB. four haploid cellsC.four polar bodiesD. two haploid cells roberto says that the opposite of a certain integer is -5. cindy concludes that the opposite of an integer is always negative. explain cindy's error Which Christian symbol represents the eternal nature of Jesus? Plz answer all questions!!! 20 points!!!Questions:(question A) What two points are a distance of 5 from -2 on a number line?(question B) What two points are a distance of 4 from 5 on a number line?(question C) What two points are a distance of 7 from -1 on a number line?(question D) What two points are a distance from 3 from 7 on a number line?(question E) What two points are a distance of 10 from 2 on a number line?(question F) What two points are a distance of 1 from -5 on a number line? on his fifth birthday ,paul was 42 inches tall. on his seventh birthday he was 48inches tall rename a teacher in kenning technique The admissions office of a private university released the following data for the preceding academic year: From a pool of 4200 male applicants, 30% were accepted by the university, and 30% of these subsequently enrolled. Additionally, from a pool of 3300 female applicants, 35% were accepted by the university, and 30% of these subsequently enrolled. What is the probability of each of the following?a) A male applicant will be accepted by and subsequently will enroll in the university?b) A student who applies for admissions will be accepted by the university?c) A student who applies for admission will be accepted by the university and subsequently will enroll? A cosmetics company is conducting a second-year review of one of its newest products. The marketing department expects that the firm will continue to earn profits from the sale of the product in the third year as it did in the past two years. Senior management, however, feels that the profit projections would vary based on other factors such as the price of the competitor's products, the actual level of sales, and the possibility of cost reductions. In other words, the senior management is undertaking _____.