Q3. If a=b c, b= c a and c = a b then prove that abc=1.
Q4. If a= 5x, b= 5y and ay bx = 25, then prove that xy = 1

Answers

Answer 1

Step-by-step explanation:

Question 3 :

We have ,

a = bc . . . . . (i) b = ac . . . . . (ii)c = ab . . . . . (iii)

Multiplying all three equations ,

=> a × b × c = bc * ac * ab

=> abc = a²b²c²

=> abc/a²b²c² = 1

=> 1/abc = 1

=> abc = 1

Hence Proved !

[tex]\rule{200}2[/tex]


Related Questions

At Lake View Middle School, there are 900 boys. The ratio of boys to girls is 5 to 4. How many girls are there in the school?

Answers

Answer:

320 girls

Step-by-step explanation:

We can make an algebric equation for this:

5x=900

x=180

We are asked to find the girls so we have to multiply the girls ratio by our x value we just found.

4x=4x180=320 girls

!!!!________________

Answers

Answer:

B

Step-by-step explanation:

The answer is B as it is the only one in which the shape at the bottom remains the cross section shape for the object. For example in a sphere the cross section near the bottom wouldn't be the same as the one at the middle. The only shape that does have the same cross section all the time is the cuboid so it is the answer

!!!!!!!!!!!!!!!! It’s b

Solve 2x – 5 = 7?
What is the answer?

Answers

Answer:

x = 6

Step-by-step explanation:

Darnell is ordering food for a party. He can get 2 pizzas and 8 sandwiches for $65 or 5 pizzas and 3 sandwiches for $77.50. What would be the total cost of 1 pizza and 1 sandwich? please help me

Answers

Answer:

Jan 22, 2017 — Three pizzas and seven sandwiches cost $41.50 How much does a pizza cost? Follow • 2 ... equations and solve for p to get cost of a pizza.

Step-by-step explanation:

A map is created on a coordinated plane . Ty’s house is located( 7,8) and the library is located( 7,-6)How many blocks is it from Ty’s house to the library each unit on the coordinate plane represents 1 block

Answers

Given:

Ty’s house is located ( 7,8) and the library is located ( 7,-6).

Each unit on the coordinate plane represents 1 block.

To find:

The number of blocks from Ty’s house to the library.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We need to find the distance between the two points ( 7,8) and ( 7,-6).

Using the distance formula, we get

[tex]D=\sqrt{(7-7)^2+(-6-8)^2}[/tex]

[tex]D=\sqrt{(0)^2+(-14)^2}[/tex]

[tex]D=\sqrt{196}[/tex]

[tex]D=14[/tex]

The distance between the two points ( 7,8) and ( 7,-6) is 14 units.

We know that, each unit on the coordinate plane represents 1 block.

Therefore, there are 14 blocks from Ty’s house to the library.

In the figure, lines a and b are parallel.



Which statements are true?



Select each correct answer.




m∠2=m∠1

m∠1=75°

m∠3=m∠1

m∠2=105°

Answers

Answer:

m∠2 = m∠1m∠1 = 75°

Step-by-step explanation:

Look at the picture.

Vertical angles, corresponding angles, alternate exterior angles are congruent.

Supplementary angles add up to 180°.

A survey was conducted at a town hall meeting to determine if a new park should be built. Out of the 3,462 people surveyed, 1,468 people voted that the town should not build a new park.

Assuming the survey was random, what percentage of people in the town would likely vote in favor of the new park?

Enter your answer to the nearest percent in the box.

%

Answers

Answer: 58%

Step-by-step explanation:

Answer:

58%

Step-by-step explanation:

If 1468 weren't in favor of the new park, then 3462-1468=1996 people were in favor of the new park. This means the percentage of those who are in favor of the park is 1996/3462=0.5765=57.65%=58%

58 Select the correct answer. An investment banking house conducted a survey to determine how two of its proposed investment plans for three different age categories are used. This table shows the responses they received. Plan l Plan II Neither 19 14 17 Ages 26-35 Ages 36-45 Ages 46-55 14 28 8 00 27 21 2 What percentage of people preferring plan I are from the 36-45 age group, and what percentage of people from the 46-55 age group prefer plan II? Round your answers to the nearest whole number. OA 2396 of people who prefer plan I are from the 36-45 age group, and 42% of people from the 46-55 age group prefer plan II . O B. 28% of people who prefer plan I are from the 36-45 age group, and 42% of people from the 46-55 age group prefer plan II. 2396 of people who prefer plan I are from the 36-45 age group, and 33% of people from the 46-55 age group prefer plan II. 28% of people who prefer plan I are from the 36-45 age group, and 33% of people from the 46-55 age group prefer plan II. OD es reserved​

Answers

Answer:

23% of people who prefer plan I are from the 36–45 age group, and 42% of people from the 46–55 age group prefer plan II.

Step-by-step explanation:

___________Plan I___ Plan II ___Neither

Ages 26–35__ 19_____ 14_______ 17

Ages 36–45__ 14 _____28_______ 8

Ages 46–55__ 27 _____21_______ 2

Total Number who prefer plan 1 = (19 + 14 + 27) = 60

Number in the 36 - 45 age group = 14

Percentage = 14 / 60 = 0.2333 = 23%

Number of people in the 46-55 age group = (27 + 21 + 2) = 50

Number on the age group who prefer plan II = 21

Percentage = 21 / 50 = 0.42 = 0.42 * 100 = 42%

solve the system by substitution
5x+y=-14
5x- 3y=2

Answers

Answer:

x=-2 and y=-24

Step-by-step explanation:

plug in the value of y (-5x-14) into the second equation

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the values with the statistical measures for these data points.

34, 37, 39, 32, 48, 45, 53, 62, 58, 61, 60, 41

46.5
62
34
59
48
60
32
38
upper quartile
arrowRight
maximum
arrowRight
minimum
arrowRight
lower quartile
arrowRight
median
arrowRight

Answers

Answer:

lower quartile - 38

upper quartile - 59

maximum - 62

median - 46.5

minimum - 32

I hope this help. Have a great day!

3/4+ (1/3 ➗1/6)- (-1/2)=___

1 3/4

2 1/4

3/4

3 1/4

Answers

STEP 1: (1/3 : 1/6) = 2/1 = 2

STEP 2: 3/4 + 2 = 11/4 = 2 3/4 = 2.75

STEP 3: 2.75 (-1/2) = -11/8 = -1 3/8 = -1.375

(1) Divide: 1/3 : 1/6 = 1/3 · 6/1 = 1 · 6/3 · 1 = 6/3 = 3 · 2 /3 · 1 = 2

(2)Add: 3/4 + the result of step No. 1 = 3/4 + 2 = 3/4 + 2/1 = 3/4 + 2 · 4/1 · 4 = 3/4 + 8/4 = 3 + 8/4 = 11/4

(3) Subtract: the result of step No. 2 - (-1/2) = 11/4 - (-1/2) = 11/4 - (-1) · 2/2 · 2 = 11/4 - (-2/4) = 11 - (-2)/4 = 13/4

Therefor your answer is A 13/4 OR 1 and 3/4: )

Hope this helps!

Sorry for all the steps but those steps will help you!

-Hailey: )

(nothing is copied or pasted!!!!!)

I don't understand how to factor out the GCF of the polynomial
[tex]4x^{2} -8x-6[/tex]

Answers

You have to do 4 times the 8 which is 24. Then find the adding for the -6. 1*6 2*6 3*6 4*6 , 4*6 is 24 so your answer would be (x-4) (x+6)

CHRIS
For the field trip this year, use the given information to determine the total
cost for each student and for all 30 students. Transportation costs have
already been paid.
For every 5 students, it would cost:
• $36.25 for admission to the museum, and
• $31.50 for lunch.
What is the total cost, in dollars, for admission and lunch for each student?
What is the total cost, in dollars, for admission and lunch for all 30 students?
1 Student: $
30 Students: $

Answers

Answer:

30 students: $346.5

1 student: $11.55

Step-by-step explanation:

It would cost a total of $57.75 every 5 student so just multiply by 6 to get your amount for 30 students. Then divide by 30 to get the amount per student.

Frederick and Fabricio enjoy catching Pokémon every day. They have developed different techniques of catching as many Pokémon as possible in an hour. Frederick represented the results of his catching techniques in the graph below, where the x-axis represents the time in hours and the y-axis represents the number of Pokémon in his pokeballs, while Fabricio decided to represent his results as the function f(t)=15t. After how many hours would Frederick have more Pokémon than Fabricio?

Answers

Answer:

sorry don't know what the answer is

Help please :)))))))))))))))))

Answers

Answer:

Using Sine Rule

w= 19.8

Shannon is dressing a mannequin for a store window to show off a new line of men's clothing. Shannon can choose from 2 different T-shirts and 8 styles of jeans. How many different ways can Shannon dress the mannequin?

ways

Answers

Answer:

16

Step-by-step explanation:

Im confused about this question

Answers

Answer:

F

you have to set it up as an equation then solve

Set end gulf g if NC gba has 4th s 3 eggs $"4 runs they've eggs her Seth w if rid the ms has hehe he na na

Use a formula to find the amount of wrapping paper you need to wrap a gift in the


cylindrical box shown. You need to cover the top, bottom, and all the way around


the box. Use 3.14 for it.


7 in. height to 9 in. radius

Answers

Answer:

100.48 square inches

Step-by-step explanation:

Surface area of a cylinder = 2πr(r+h)

r is the radius

h is the height

Given

radius = 9in

height = 7in

π = 3.14

Substitute into the formula

Surface area of the cylinder = 2(3.14)(9+7)

Surface area of a cylinder = 2*3.14*16

Surface area of a cylinder = 100.48 square inches

Hence the  amount of wrapping paper you need to wrap a gift in the

cylindrical box is 100.48 square inches

Which quadrant is each ordered pair in?

1. (-3,1)

2. (-9,-4)

3. (10,5)

4. (6, -7)

Answers

1. II
2. III
3. I
4. IV

Answer:

(-3‚1) lies in second quadrant.

A triangle has angle measurements of 56°, 54°, and 70°. What kind of triangle is it?

Answers

Answer:

Right, I am an idiot so i might be wrong

Step-by-step explanation:

Every triangle has three angles which sum to 180 degrees.

There are three types of triangles based on the measures of its angles.

Right Triangle - Has one 90 degree angle

Acute Triangle - All angles less than 90 degrees

Obtuse Triangle - One angle greater than 90 degrees

In this example we are given 2 angles and must find the measure of the 3rd.

a + 56 + 34 = 180

a + 90 = 180

a = 90

Therefore, it is a Right Triangle.

Circle has a circumference of 38 cm
What is the length of the radius,
6 cm
18 om
36 cm
72 cm

Answers

[tex]circumference \: of \: circle \: = 2 \: \pi \: r[/tex]

38 = 2πr

r = 38/2π

r = 38÷6.28

r = 6 cm

Annie buys some greeting cards. Each card costs $1.75. She pays with a twenty dollar bill.
Let n represent the number of greeting cards Annie buys. Write an expression that represents
the amount of change Annie should receive.
Enter your expression in the space provided.

Answers

Answer:

Step-by-step explanation:

Which number sentence is always true? Select all that apply.

negative + negative = negative

positive - negative = negative

negative + positive = positive

.positive - positive = positive

positive + positive = positive


.negative - positive = negative

Answers

1. false
2. true
3. false
4. true
5.true
6.true

Three statements that always hold true are,

negative + negative = negative.

positive + positive = positive.

negative - positive = negative.

What are some concepts related to arithmetic operations of odd and even numbers?

Odd + Odd = Even.

Odd + Even = Even + Odd = )dd.

Even + Even = Even.

Odd × Odd = Even.

Even × Even = Even.

Odd × Even = Even × Odd = Odd.

Odd ÷ Odd = Even.

Even ÷ Odd = Even Or Odd.

Odd ÷ Even = Fraction/Decimal.

The true statement about positive and negative numbers are,

negative + negative = negative.

positive + positive = positive.

negative - positive = negative.

learn more about negative and positive numbers here :

https://brainly.com/question/17865861

#SPJ2

The seventh term of an A.P is 15 and the fourth term is 9. Find the first term and common difference

Answers

The first term would be 3. The common difference would be +3

Will mark brainliest please help ASAP Complete the square to find the vertex of this parabola x^2-14x+4y+29=0

Answers

Answer:

(7,5)

Step-by-step explanation:

Thomas is keeping records at the city fishing tournament. The table shows the information on the number of each type of fish caught in the tournament so far.
Perch: 32 Perch Fish Caught
SunFish: 21 SunFish Fish Caught
Bass: 14 Bass Fish Caught
Walleye: 12 Walleye Fish Caught

Find the probability that the next fish will be either a bass or a walleye. Write your answer as a percent, with the percent symbol. If needed, round to the nearest tenth.

Answers

Answer:

its 2.7% :D

Step-by-step explanation:

Im doing the quiz rn

explaination:

12/79 x 14/79 = 168/6241 (79 is the total fish)

168/6241 = 2.7% (rounded)

Hope I helped :D

show work

Simplify this expression by combining the like terms

7y + 10 + 3y - 4 - 6y

Answers

In this problem “like terms” has two groups: one with a number and y, and one with just numbers. First I’ll rewrite the equation with the terms in a different order, grouped with like terms. Then we’ll do the math for them:

7y + 10 + 3y - 4 - 6y

= 7y + 3y - 6y + 10 - 4

= 10y - 6y + 6

= 4y + 6

Let me know if you have questions on this.

Given that (2,-8) is on the graph of f(x), find the
corresponding point for the function
f(x + 5).

Answers

Answer:

i dont know man

Step-by-step explanation:

ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!

Answers

Answer:  Slope: -1/2  

Step-by-step explanation:  To find slope take 2 points that lie on the line and use this formula to solve:   I will use (0, -2) and (2, -3) to solve

                                                                       ↑    ↑           ↑   ↑

y2 - y1                                                             x1  y1          x2  y2

-----------

x2 - x1

So, for this question, substitute the x and y values from the points above to solve.

-3 - (-2)      

----------- =  - 1/2

2 - 0

Hope this helped. :)

 

3х +7
2х + 3
x= ? please help i’m almost done with school

Answers

Answer:

34

Step-by-step explanation:

Add them together

5x+10=180

5x+10-10=180-10

5x=170

5x/5=170/5

x=34

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