find the HCF of following !! a) 15,63,99 B) 66,33,78​

Answers

Answer 1

Answer:

(a) 3, (b) 3

Step-by-step explanation:

HCF is highest common factor. Each number is split into multiples while the common factors are then multiplied together.

(a) HCF of 15, 63, 99

15 = 3 X 5     ----------------------------- (i)

63 = 3 X 3 X 7 ---------------------------(ii)

99 = 3 X 3 X 11 ---------------------------(iii)

From the three equations, 3 is the only common factor; 3 appears in equations (i), (ii) and (iii)

hence the HCF of 15, 63 and 99 is 3

(b) HCF of 66, 33, 78

66 = 2 X 3 X 11     ----------------------------- (iv)

33 =        3 X 11 ---------------------------(v)

78 = 2 X 3 X 13 ---------------------------(vi)

From the three equations, 3 is still the only common factor; 3 appears in equations (iv), (v) and (vi)

hence the HCF of 166, 33, 78 is 3


Related Questions

Four runners formed a relay team at Jan’s high school. The team completed the relay in 3.86 minutes. Each runner ran exactly the Same time. What was each runners time?

Answers

Answer: All four runners ran .96 seconds

Step-by-step explanation: The total time of the four runners, divided by the amount of runners.

3.86/4= .965

linear combination ​

Answers

Answer:

linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants)

Step-by-step explanation:

Jackson has let out 50 meter of kite string when he observes that his kite is directly above a point on the ground 30 meters away from him, how high is the kite?

Answers

50+30 is 80 meters

50-30=20 meters

Since it’s away from him the answer would be one or the other

The height of the observer can be taken negligible in case of big measurements. The height of the kite from the ground is 40 meters approximately.

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Referring to the figure attached below, we have the vertical distance of the kite from the ground as the length of the side BC.

(assume that the height of the observer flying kite is negligible and that kite's string is straight, and some more basic assumptions)

Using the Pythagoras theorem as the triangle ABC is a right angled triangle as vertical distance means line perpendicular to the ground, we get the length of the line segment BC as:

[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\|BC|^2 = |AC|^2 - |AB|^2\\\\|BC| = \sqrt{|AC|^2 - |AB|^2}\\[/tex]

(positive root since length is a non-negative quantity).

We have |AC| = length of the kite's string = 50 meters

|AB|  = distance of the observer from the point directly above which the kite is flying = 30 meters

Thus, we get the height of the kite from the ground as:

[tex]|BC| = \sqrt{|AC|^2 - |AB|^2}\\|BC| = \sqrt{50^2 - 30^2} = \sqrt{1600} = 40\: \rm \text{(in meters)}[/tex]

Thus,  the height of the kite from the ground is 40 meters approximately.

Learn more about Pythagoras theorem here:

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Quadrilateral PQRS has vertices P(2, 10), Q(6, 8), R(6, 3), and K(2, 3).

What are the coordinates of S’ after a dilation of quadrilateral PQRS by a factor of 2 centered at the origin?

Answers

Answer:

[tex]S'(4,6)[/tex]

Step-by-step explanation:

Dilation rules :

For a pre-image point [tex](x,y)[/tex] which is dilated by a scalar factor of [tex]k[/tex] about the origin, the corresponding point of the image can be given by [tex](kx,ky)[/tex]

Pre-image point [tex](x,y)\rightarrow (kx,ky)[/tex] Image point

Given points of quadrilateral PQRS.

P(2,10)

Q(6,8)

R(6,3)

S(2,3)

The quadrilateral is dilated about the origin by a scalar factor of 2.

The co-ordinates of point S' after dilation can be given by:

[tex]S(2,3)\rightarrow S'((2\times2),(2\times3))[/tex]

Thus [tex]S'(4,6)[/tex] (Answer)

Answer:

As jitumahi456 states B).(4, 6) is the correct answer.

Step-by-step explanation:

I took the test on edg.

Eric jogged for 47 minutes, ending at 3:35 p.m. When did Eric start his jog?
A) 2:48 p.m.
B) 2:30 p.m.
C) 2:58 p.m.
D) 4:22 p.m.
plz help ASAP TwT

Answers

Answer:

im pretty sure its c

Step-by-step explanation:

what is the value of x ?

Answers

Answer:

the value of x is 7cm.

Step-by-step explanation:

i looked it up on the Internet next u could try n do tht

Answer:

x=65 degrees

Step-by-step explanation:

in a triangle all angles will have to add up to 180 adding the two given you can find the third one.

Which of the following are true of linear functions? Select all that apply.
There is exactly one output for each input.
The graph of a linear function is a straight line.
Alinear function can cross the y-axis in two places
Alinear function has a constant rate of change.
Alinear function must cross the x-axis​

Answers

Answer:

There is exactly one output for each input.

The graph of a linear function is a straight line.

A linear function has a constant rate of change.

Step-by-step explanation:

Answer:

A,B,D

Step-by-step explanation:

i took the assignment and quiz on ed2020

Identify the transformation on the figure shown.
A) reflection over the x-axis
B) reflection over the y-axis
C) rotation about the x-axis
D) rotation about the y-axis

Answers

The transformation on the figure is a reflection over the y-axis.

How to identify the transformation?

In the image, we can see that we have an original figure in the left side of the y-axis, and then it is reflected over it.

We can see that it is a reflection and not a translation, because the orientation of the figure changes (you can see that in both figures, the 90° is in the side farthest away from the axis).

So the correct option is B, reflection over the y-axis.

If you want to learn more about reflections, you can read:

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Ashots height changed from 150 cm to 165 cm during the last year. By what percent did Ashot become taller?

Answers

150 cm ......... 100 %

165 cm ...............x %

x = 165×100/150 = 16500/150 = 110 %

Answer:

10%

Step-by-step explanation:

Subtract 150 from 165, which gives 15.

Then, do 15/150 = 0.1

Convert decimal to percent by moving the decimal point two spaces back. 0.1 becomes 10%.

a.3/8
b.1/2
c.5/8
d.7/8​

Answers

Answer:

3/8

Step-by-step explanation:

You'd first want to count all the triangles (possibilities) which is 8 total numbers

Then find the even numbers. There is 2, 2, and 4 which is a total of 3 even numbers

The fraction would be 3/8 and it can't be simplified any further

Answer:

3/8

Step-by-step explanation:

This is because, out of 8 results, only 3 of them are even numbers. That is the biggest chance you have at getting an even number.

A bag contains 10 red, 9 white, 8 yellow and 2 blue marbles. How many marbles must be taken out from the bag so that there will be 4 marbles of the same colour?

Answers

Answer:25

Step-by-step explanation:

10 plus 9+4+2 will give you 21 and it will have 4 yellow ones left

Take out all the marbles

Differentiate from first principle

1. y= x^2 + 3x

2. y= x^2 + 3x + 8

Answers

Answer:

Differentiation of both the term is [tex]2x+3[/tex]

Step-by-step explanation:

As we have to use first principle of derivatives lets recall the formula.

[tex]f(x)= \lim_{h\to 0}\frac{(x+h)-f(x)}{h}[/tex]

Solving our eqaution.

[tex]y=x^2+3x[/tex]

We will work with [tex]f(x+h)[/tex] then [tex]-f(x)[/tex] separately then put in the above formula.

1.

[tex]f(x+h)=(x+h)^2+3(x+h)[/tex]

[tex](x^2+h^2+2hx+3x+3h)[/tex]

Now [tex]-f(x)[/tex]

[tex]-f(x)=-x^2-3x[/tex]

Plugging the values of both.

[tex]f(x)= \lim_{h\to 0}\frac{(x+h)-f(x)}{h}[/tex]

[tex]f(x)= \lim_{h\to 0}\frac{(x^2+h^2+2hx+3h+3x)- x^2-3x}{h}=\frac{h^2+2hx+3h}{h}[/tex]

Taking [tex]h[/tex] as common.

[tex]f(x)= \lim_{h\to 0}\frac{h^2+2hx+3h}{h}=h+2x+3[/tex]

Putting [tex]h=0[/tex]

Then

[tex]f(x)=2x+3[/tex] is the final derivative.

This will be same for [tex]y= x^2 + 3x + 8[/tex] as we have to put [tex]8[/tex] only.

2.

[tex]f(x+h)=(x+h)^2+3(x+h)+8[/tex]

[tex](x^2+h^2+2hx+3x+3h)[/tex]

Then [tex]-f(x)=-x^2-3x-8[/tex]

Plugging the values of both.

[tex]f(x)= \lim_{h\to 0}\frac{(x+h)-f(x)}{h}[/tex]

[tex]f(x)= \lim_{h\to 0}\frac{(x^2+h^2+2hx+3h+3x+8)- x^2-3x-8}{h}=\frac{h^2+2hx+3h}{h}[/tex]

Taking [tex]h[/tex] as common.

[tex]f(x)= \lim_{h\to 0}\frac{h^2+2hx+3h}{h}=h+2x+3[/tex]

Putting [tex]h=0[/tex]

Then

[tex]f(x)=2x+3[/tex] is the final derivative.

So both the derivatives are same.

Which graph represents the function f(x)=2⋅4x ?

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]f(x)=2(4^x)[/tex]

This is a exponential function of the form

[tex]f(x)=a(b^x)[/tex]

where

a is the initial value

b is the base

r is the rate

b=(1+r)

In this problem we have

[tex]a=2\\b=4\\r=b-1=4-1=3=300\%[/tex]

For x=0

[tex]f(0)=2(4^0)[/tex] -----> [tex]f(0)=2[/tex] ---> y-intercept or initial value

For x=1

[tex]f(1)=2(4^1)[/tex] -----> [tex]f(1)=8[/tex]

Identify the graph

using a graphing tool

The graph in the attached figure

Whats the slope of (-5,9) (7,3)

Answers

Answer:

-1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-9)/(7-(-5))

m=-6/(7+5)

m=-6/12

m=-1/2

Citizens less than 18 years old are not allowed to vote define a variable and write an inequality for the ages of citizens who are not allowed to vote

Answers

Answer:

[tex]x < 18[/tex]

Step-by-step explanation:

We are given the following information in the question:

"Citizens less than 18 years old are not allowed to vote"

We define a variable x such that x represents the age of citizens.

We have to write a relationship with the help of an inequality for the ages of citizens who are not allowed to vote.

Citizens less than 18 are not allowed to vote.

So x should be less than 18.

This can be written as:

[tex]x < 18[/tex]

is the required  inequality for the ages of citizens who are not allowed to vote.

Which of the following pairs are alternate interior angles?
A.6 and 7
B.2 and 7
C.5 and 2
D.5 and 4​

Answers

the answer is B , 2 and 7.

What is 4 divided by 3/5

Answers

4 divided by 3/5

pretend that 4 has a denominator which is 1

4/1 divided by 3/5

when dividing always flip over the second fraction

4/1*5/3

multiply the numerators together

4*5=20

multiply the denominators together

1*3=3

answer:

20/3 or 6 2/3

Which expression is equivalent to −13(6x+15)−3

Answers

The expression is equivalent to −78x − 198.

To simplify the expression −13(6x + 15) − 3, you can start by distributing the −13 across the terms inside the parentheses:

−13 * 6x = −78x

−13 * 15 = −195

So, the expression becomes:

−78x − 195 − 3

Next, combine the constant terms:

−195 − 3 = −198

The simplified expression is now:

−78x − 198

This expression is equivalent to the original expression −13(6x + 15) − 3. It cannot be further simplified as the terms are not like terms and cannot be combined further. So, the answer is −78x − 198.

The expression represents a linear equation where x is the variable. It can be used to find the value of the expression for specific values of x.

To know more about expression:

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if I add .002 ounces of coloring to 3 lbs of product what is the percentage of coloring I used to product. I need to increase the amount of product but maintain the correct percentage of coloring. thank you

Answers

Answer:

0.0042%

Step-by-step explanation:

We know that 1 pound is equivalent to 16 ounces.

So, 3 pounds of a product is equivalent to (16 × 3) = 48 ounces of the product.

Now, it is given that I add 0.002 ounces of coloring to 3 lbs of product.

So, the required percentage of coloring I used to product is [tex]\frac{0.002 \times 100}{48 + 0.002} = 0.0042[/tex]% (Answer)

Which action describes an aspect of technological design?
O building a telescope to look deeper into space
O creating a collection of mosquitoes that cause disease
o observing Doppler radar as a storm approaches
O designing an experiment to measure the heat of a volcano

Answers

Answer:  A)

Step-by-step explanation: This is correct because a telescope is a piece of technology use to look further into space

please help me with these, oh sweet jesus

Answers

Answer:

77.  [tex]\cot^{6} x = \cot^{4} x \csc^{2}x - \cot^{4} x[/tex]Proved

78.  [tex]\sec^{4}x \tan^{2} x = \sec^{2}x [\tan^{2}x + \tan^{4}x ][/tex] Proved

79. [tex]\cos^{3} x\sin^{2} x = [\sin^{2}x - \sin^{4}x] \cos x[/tex] Proved.

80. [tex]\sin^{4}x - \cos^{4}x = 1 - 2\cos^{2}x + 2 \cos^{4} x[/tex] Proved.

Step-by-step explanation:

77. Left hand side

= [tex]\cot^{6} x[/tex]

= [tex]\cot^{4} x \times \cot^{2} x[/tex]

= [tex]\cot^{4}x [\csc^{2}x - 1][/tex]  

{Since we know, [tex]\csc^{2} x - \cot^{2}x = 1[/tex]}

= [tex]\cot^{4} x \csc^{2}x - \cot^{4} x[/tex]  

= Right hand side (Proved)

78. Left hand side

= [tex]\sec^{4}x \tan^{2} x[/tex]

= [tex]\sec^{2} x [1 + \tan^{2}x] \tan^{2} x[/tex]  

{Since [tex]\sec^{2}x - \tan^{2}x = 1[/tex]}

= [tex]\sec^{2}x [\tan^{2}x + \tan^{4}x ][/tex]

= Right hand side (Proved)

79. Left hand side  

= [tex]\cos^{3} x\sin^{2} x[/tex]

= [tex]\cos x[1 - \sin^{2} x] \sin^{2} x[/tex]

{Since [tex]\sin^{2}x + \cos^{2} x = 1[/tex]}

= [tex][\sin^{2}x - \sin^{4}x] \cos x[/tex]

= Right hand side

80. Left hand side  

= [tex]\sin^{4}x - \cos^{4}x[/tex]

= [tex][\sin^{2}x + \cos^{2}x]^{2} - 2\sin^{2} x \cos^{2}x[/tex]

{Since [tex]\sin^{2}x + \cos^{2} x = 1[/tex]}

= [tex]1 - 2\cos^{2} x[1 - \cos^{2}x ][/tex]

= [tex]1 - 2\cos^{2}x + 2 \cos^{4} x[/tex]

= Right hand side. (Proved)

The ratio of pears to green apples is 1:3 how many pears are there​

Answers

Answer:

There is 1 pear for every green apple! So in this ratio there would be 1 pear!

Step-by-step explanation:

-viridiancat4, an 8th grader! :)

The sum of two numbers is 89. Three times the smaller
number is 71 more than the larger. Find the numbers.

Answers

Answer:

The numbers are 40 and 49

Step-by-step explanation:

Smaller number = x

Larger number = y

Let's write our system of equations:

x + y = 89

3x = y + 71

***************************

x = 89 - y

Substituting x in the 2nd equation and solving for y:

3 (89 - y) = y + 71

267 - 3y = y + 71

-3y - y = 71 - 267 (Like terms)

-4y = - 196

y = -196/-4

y = 49

Solving for x in the 1st equation:

x + y = 89

x + 49 = 89

x = 89 - 49

x = 40

The numbers are 40 and 49

bob bought bill an item that cost 193. bill gave him 200. bob then took 100 out of the 200 to buy bill an item for 93. how much does bill owe Bob totally?​

Answers

Answer:Bob Owes $186 to the store he purchased an item at

Step-by-step explanation:


Find the solution for 72 < 7x − 5.
1 x < -11
2 x > 11
3 x > 21
4 x < 11

Answers

Answer:

Option 2. [tex]x > 11[/tex]

Step-by-step explanation:

we have

[tex]72 < 7x-5[/tex]

Solve the inequality for x

Adds 5 both sides

[tex]72+5 < 7x-5+5[/tex]

[tex]77 < 7x[/tex]

Divide by 7 both sides

[tex]77/7 < 7x/7[/tex]

[tex]11 < x[/tex]

Rewrite

[tex]x > 11[/tex]

The graph of a function, f(x), is plotted on the coordinate plane. Select the function that would move the graph of the function to the right of the coordinate plane.
a.f(x+6)
b.f(x)+4
c.f(x-3)+1
d.f(x)-3

Answers

Correct option:

c.f(x-3)+1

Explanation:

From the options we have either vertical or horizontal shift. So, for this type of transformation we have:

For any real positive number [tex]c[/tex], vertical and horizontal shift in the graph [tex]y=f(x)[/tex] are expressed as follows:

[tex]\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)[/tex]

From these rules, we know that:

[tex]f(x-3)+1[/tex]

would move the graph of the function to the right of the coordinate plane because of [tex]f(x-3)[/tex]. In other words, the transformation is as follows:

[tex]f(x-3)+1[/tex] shifts the graph of [tex]f(x)[/tex] three units to the right and one unit up

Learn more:

Shifting graphs: https://brainly.com/question/10010217

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Five times the difference of twice a number and seven is negative twenty-five. Find the number.

Answers

The number is 1

Step-by-step explanation:

Let x be the required number

Then according to given statement

Five times the difference of twice a number and seven is negative twenty-five.

[tex]5(2x-7) = -25[/tex]

Simplifying

[tex]10x-35 = -25\\[/tex]

Adding 35 on both sides

[tex]10x-35+35 = -25+35\\10x = 10[/tex]

Dividing both sides by 10

[tex]\frac{10x}{10} = \frac{10}{10}\\x = 1[/tex]

Verification:

[tex]5[2(1)-7] = -25\\5(2-7) = -25\\5(-5) = -25\\-25=-25[/tex]

Hence,

1 is the number

Keywords: Linear equation

Learn more about linear equation at:

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A pool holds 33500 gallons of water. The pool is filled at a constant rate of 485 gallons every 6.5 minutes. Select whether each statement is true or false.

________ The unit rate for filling the pool is 74 gallons per minute

________ It will take 4 hours and 15 minutes to fill the pool to 85% of its capacity.

________ The difference between the pool being 64% full and 48% full is 3600 gallons.

________ A slow leak has left the pool with only 19800 gallons, a 12% decrease.

________ The pool can be completely filled in less than 5 hours.

Answers

1. It's True. Since it's 485 gallons every 6.5 minutes, then to find 1 minute you would do 485/6.5 which is approximately 74 gallons.

2. It's False. 85% of 33500 is 28475 gallons. If you divide that by 74, since that's the number of gallons per minute, you get approximately around 384 minutes. Since you want the time in hours, you divide 384 by 60, and you get the decimal 6.4. Since 6 hours is greater than 4 hours, it's false.

3. It's False. 64% of 33500 is 21440 gallons. 48% of 33500 is 16080 gallons. 21440-16080 is 5360 gallons, not 3360 gallons.

4. It's False. To find the percent of change, you first need to subtract 19800 from 33500, which gives you a result of 13700. Then you divide 13700/33500, which gives you a quotient of approximately 0.41. You multiply that by 100 to find the percent, which is 41%. 41% is not equal to 12%.

5. It's False. Since the unit rate is 74 gallons per minute, you divide 33500 by 74 to see how many minutes it takes. That gives you a quotient of approximately 453 minutes. You divide that by 60 since you want the time in hours, and the quotient of that is 7.55. 7 hours is greater than 5, so it's false.

I'm not too sure about some of them, so you might want to check my math. :)

A golf ball, thrown upwards, rises at a speed of v metres per second.
The ball reaches a maximum height of h metres.
h is proportional to the square of v.
When v = 20, h = 8
Work out the maximum height reached by the golf ball when v = 35

Answers

Answer:24.5

Step-by-step explanation:

Formula:

H=KV²

8=K×20²(400)

=8/400

=0.02

H=0.02×35²

=24.5

Answer:

The maximum height reached by the golf ball when v = 35 is 24.5 meters.

Step-by-step explanation:

Given : A golf ball, thrown upwards, rises at a speed of v metres per second. The ball reaches a maximum height of h metres.  h is proportional to the square of v.  When v = 20, h = 8.

To find : Work out the maximum height reached by the golf ball when v = 35 ?

Solution :

h is proportional to the square of v i.e. [tex]h\propto v^2[/tex]

[tex]h=kv^2[/tex]

Where, k is the constant of proportionality

When v = 20, h = 8,

[tex]8=k(20)^2[/tex]

[tex]8=400k[/tex]

[tex]k=\frac{8}{400}[/tex]

[tex]k=0.02[/tex]

The equation became [tex]h=0.02v^2[/tex].

Now, when v = 35 the value of h is

[tex]h=0.02(35)^2[/tex]

[tex]h=0.02\times 1225[/tex]

[tex]h=24.5[/tex]

Therefore, the maximum height reached by the golf ball when v = 35 is 24.5 meters.

the sum of 2fifteens and 10 fifteens​

Answers

Answer:4/5

Step-by-step explanation:

2/15 + 10/15=12/15=4/5

easy right?

Other Questions
"Although some hearing conditions run in families, Dawn, age 61, is experiencing an age-related hearing condition. Dawn has __________." presbyopia presbycusis tinnitus sensorineural hearing loss Written as a rate, 5 miles in 4 hours would be ______miles per hour.How did you get this and explain. The diagram shows a student throwing a baseball horizontally at 25 meters per second from a cliff 45 meters above the level ground Approximately how far from the base of the cliff does the ball hit the ground Question 1 with 1 blankEn Costa Rica y se vende en colones. Question 2 with 1 blankEl sistema de parques nacionales para la proteccin de los ecosistemas. Question 3 with 1 blankEn los parques, los animales ver en su hbitat natural. Question 4 with 1 blankEn el siglo XIX a exportar el caf costarricense. Question 5 with 1 blankEn Costa Rica educacin gratuita a todos los ciudadanos. Question 6 with 1 blankEn 1871 la pena de muerte en Costa Rica. 16. Thirteen tenths written as a decimal is:(1) 0.013 (2) 0.13 (3) 1.3 (4) 13(5) 130 Personal selling can be more effective than advertising in complex selling situations because it is ______________________________. A. designed to reach large groups of consumers B. nonpersonal C. interpersonal D. only used for face-to-face customer interactions E. less engaging than advertising Answers to all of these Why are there so many variations of human skin color If someone who is homozygous for an autosomal recessive disorder mates with a person who doesNOT carry the mutated gene their child will ________.Group of answer choiceshave a zero percent chance of developing the disease. have a 25 percent chance of developing the disease. have a 50 percent chance of developing the diseasehave a 100 percent chance of developing the disease Is government responsible for the economic well-being of its citizens? Jose spent 2 3/10 hours playing basketball outside, and he played outside for a total of 5 hours. How many hours did he NOT spend playing basketball? Which of the following statements is FALSE? A) Expected return should rise proportionately with volatility. B) Investors would not choose to hold a portfolio that is more volatile unless they expected to earn a higher return. C) Smaller stocks have lower volatility than larger stocks. D) The largest stocks are typically more volatile than a portfolio of large stocks What would be the function of an epithelial cell with a relatively large amount of cytoplasm? View Available Hint(s) What would be the function of an epithelial cell with a relatively large amount of cytoplasm? regeneration and rapid tissue replacement absorption and secretion resist wear and tear anchorage to the extracellular matrix Yellow Press, Inc., buys paper in 1,500-pound rolls for printing. Annual demand is 3 comma 000 3,000 rolls. The cost per roll is $ 875 875, and the annual holding cost is 20 20 percent of the cost. Each order costs $ 75 75. a. How many rolls should Yellow Press order at a time? What was the cause of the first Gulf War in 1991? Iraq had protected Osama bin Laden. Iraq had become a communist country. Iraq was in the middle of a civil war. Iraq had invaded the country of Kuwait. Clothing Frontiers began operations on January 1 and engages in the following transactions during the year related to stockholders equity.January 1 Issues 700 shares of common stock for $34 per share.April 1 Issues 110 additional shares of common stock for $38 per share.Record the transactions, assuming Clothing Frontiers has either $1 par value common stock or $1 stated value stock. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.)1. Record the issuance of 700 shares of common stock for $34 per share.2. Record the issuance of 110 additional shares of common stock for $38 per share. If the radius of a blood vessel drops to 80.0% of its original radius because of the buildup of plaque, and the body responds by increasing the pressure difference across the blood vessel by 10.0%, what will have happened to the flow rate? The flow rate will have changed to _______ % of its original value. Where does the 3 Greek philosophers live? Find the annual rate of interest. Principal = 4600 rupees Period = 5 years Total amount = 6440 rupees Annual rate of interest = % The least common multiple of two whole numbers is 60. The ratio of the greater number to the lesser number is 6:5. WhAt are the two numbers