Given that a/b=3/5 and b/c=4/5
Find a:b:c giving your answer in its simplest form

Answers

Answer 1

Answer:

12 : 20 : 25

Step-by-step explanation:

Express the ratios in terms of a

[tex]\frac{a}{b}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

3b = 5a ( divide both sides by 3 )

b = [tex]\frac{5}{3}[/tex] a

[tex]\frac{b}{c}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )

4c = 5b ( divide both sides by 4 )

c = [tex]\frac{5}{4}[/tex] b = [tex]\frac{5}{4}[/tex] × [tex]\frac{5}{3}[/tex] a = [tex]\frac{25}{12}[/tex] a

Then

a : b : c

= a : [tex]\frac{5}{3}[/tex] a : [tex]\frac{25}{12}[/tex] a ( multiply each part by 12 to clear the fractions )

= 12a : 20a : 25a ( divide each part by a )

= 12 : 20 : 25


Related Questions

What is the greatest common factor of 3 and 33?

Answers

Answer:

3

Step-by-step explanation:

Step 1: Find the factors of 3 and 33.

3: 1, 333: 1, 3, 11, 33

Step 2: Find the largest common factor they share.

As you can see, the largest common factor they share is 3.

Therefore, the GCF of 3 and 33 is 3.

Drag the numbers below to put them in order from least to greatest:

-9 -12 -4
–4 20 -1 -6

Answers

Answer:

-12, -6, -4, -1, 9, 20

Step-by-step explanation:

9, -12, -4, 20 -1, -6

putting them in order from least to greatest means that negatives should go to the left (1st), largest should go to the right (last).

The number -9, -12, -4, 20, -6, -1 in the order from least to greatest is -12, -9, -6, -4, -4, -1, 20.

Given data: -9, -12, -4, 20, -6, -1

Starting from the smallest number:

-12 is the smallest number.

Next is -9, which is larger than -12 but smaller than -6.

Then comes -6, larger than -9 but smaller than -4.

After that, we have two occurrences of -4.

Following that is -1, greater than -4.

Finally, the largest number is 20.

So, the numbers in ascending order are: -12, -9, -6, -4, -4, -1, 20.

Learn more about ascending order here:

https://brainly.com/question/31946606

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Carl placed $2,600 in a savings account that compounds interest annually at a rate of 0.5%. How much will he have in the account after 7 years

Answers

Answer:

$2,691

Step-by-step explanation:

Interest (I) = Principal x Rate x Time

Total Amount (A) = Interest + Principal

I = 2600(.005)(7)

I = 91

A = 2600 + 91

A = 2691

f(x) = -2x - 1; Find f (x - 4)

Answers

Answer:

B

if f(x-4) then we should put x-4 where the x is spouse to be so;

-2(x-4)-1 =

-2x + 8 - 1 =

-2x + 7

A math club prints t-shirts for its members. Each shirt costs $7. Each print on the front is $2 and each print on the back is $2.50 write an equation that represents the cost of a short, C, if f represents the front print, and b represents the back print

Answers

Answer:

Step-by-step explanation:

1. 7$ for Each Shirt  2$ is for the Print $2.50 is the cost of back

1. (7x2x2.50) ---All Multiplication

2. Answer  35.00

Breakdown

$7.00 Mulltiplied by 2 which gives you $14.00

Then you multiply it by $2.50

Which Gives you $35.00

wich form is more quickly to reveal the y intercept f(x)=3(x-6)^2-75 f(x)=3x^2+36x+33 f(x)=3(x+1)(x+11)

Answers

Answer:

the 2nd option

Step-by-step explanation:

the second option is in standard form (y = ax^2 + bx + c), c gives us the y intercept

If 333 + 555 = 999
And 123 + 456 = 488
And 505 + 213 = 809
Then, 344 + 732 = ???

Answers

Answer:

1076

Step-by-step explanation:

Is the answer for the last one is 298?

If I have a 68 in a class and I get 295 out of 300 points on a test, how much will the grade improve and what percentage would result?

Answers

Answer:

Use calculator

Step-by-step explanation:

Answer:

your grade would improve by a lot and if im not mistaken the resulting percentage would probably be between 80%-90%

Step-by-step explanation:

This is due tonight please tell me the answer If correct will get brainlest thing

Answers

Answer:

5⁵ is your answer bro mark me brainlist

Burt ran the length of the trail in his town’s park. There are 9 parts to the trail, and each part is the same length. Burt ran a total of 1.8 kilometers.
What is the length of each part of the trail?

Answers

Answer:

.2 kilometers

Step-by-step explanation:

Since there are 9 parts to the trail and the total is 1.8 kilometers, just divide the total by how many parts. 1.8 divided by 9 is .2 so the length of each part of the trail is .2 kilometers

4000 families were randomly selected for a survey. 50% of them read the newspaper in nepali language, 45% read it in English language and 25% read in neither of these languages. How many families read the newspaper in both the languages? Also find the number of families who read exactly one of these papers.​

Answers

Answer:

2000 families read the newspaper in the Nepali language.

1800 families read it in the English language.

3800 families read the newspaper in both.

Step-by-step explanation:

#1. individual

convert % to decimal ( x ÷ 100 )

0.5 x 4000 = 2000

0.45 x 4000 = 1800

#2. together

2000 + 1800 = 3800

OR

50 + 45 = 95

95 ÷ 100 = 0.95

0.95 x 4000 = 3800

write an expression describing all the angles that are coterminal with 266°

Answers

Answer:

-814°, -454°, -94°, 266°, 626°. Did you mean like that?

What is the slope-intercept equation of the line below?
5
17
5
O A. y= 2x-3
O B. y=-2x+3
V
O C. y= 2x+3
O D. y=-2x-3

Answers

Answer:

Step-by-step explanation:

a

A sphere has a volume of V=324 in3. Find its surface area.

Answers

Answer:

A≈228.13in²

Step-by-step explanation:

Using the formulas

A=4πr2

V=4

3πr3

Solving forA

A=π⅓(6V)⅔=π⅓·(6·324)⅔≈228.12916in²

that's the answer

Answer:

A≈228.13in²

Step-by-step explanation:

.............

✌️❤️✌️

if f(x)= 3x+1 and g(x)= x^2-6 FIND (f+g)(x)

Answers

Answer:

-x² + 3x + 7

Step-by-step explanation:

• f(x) = 3x + 1

• g(x) = x² - 6

Then,

According to th' question :-

(f - g)(x) = f(x) - g(x)

= 3x + 1 - (x² - 6)

= 3x + 1 - x² + 6

= -x² + 3x + 7

A total of 379 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

A total of 225 tickets were sold to adults for the school play.

How many tickets were sold to adults?

In this problem we see the case of 379 tickets being sold to adults and students and there was 71 tickets more sold to adults. This situation is defined by following equations:

x + y = 379

x + 71 = y

Where:

x - Tickets sold to students.y - Tickets sold to adults.

Now we proceed to solve the system of linear equations:

x + (x + 71) = 379

2 · x = 308

x = 154

And the number of tickets sold to adults is:

y = x + 71

y = 154 + 71

y = 225

To learn more on systems of linear equations: https://brainly.com/question/21292369

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CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

15

Step-by-step explanation:

7.5*2

Answer:

15 ft

Step-by-step explanation:

1 inch is 2 ft

remember 1 ft is 12 inches so,

1 inch is 24 inches

so 7.5 inch will be 24*7.5 = 180 inches

180 inch / 12 = 15 ft

What are the solutions to the equation ( 5 x − 15 ) 2 = − 100 ?

Answers

Answer:

x = -7

Step-by-step explanation:

( 5 x − 15 ) 2 = − 100

10x - 30 = - 100

10x = -70

x = -7

Answer:

x = -7

Step-by-step explanation:

[tex]\left(5x-15\right)\cdot \:2=-100\\\\\frac{\left(5x-15\right)\cdot \:2}{2}=\frac{-100}{2}\\5x-15=-50\\5x-15+15=-50+15\\5x=-35\\\\\frac{5x}{5}=\frac{-35}{5}\\\\x=-7[/tex]

1. Mohamed bought 18 fish for his fish tank. He selected some Guppies and Platies. Mohamed really likes Guppies, so he bought three more than twice the number of Platies.

How many Guppies did Mohamed purchase?

Enter your answer in the box.

Mohamed purchased ____ Guppies for his fish tank.


2. The admission fee at the movies is $2.70 for children and $5.25 for adults. On a certain day, a total of 125 people entered the theater and $434.40 was collected.

How many adults were are the movies?

Enter your answer in the box.

There were ____ adults at the movies.


3. At the checkout counter a customer purchased a total of 20 cans of cat and dog food. The canned cat food cost $1.23 per can and the dog food cost $2.74 per can. Before taxes the cost for the cat and dog food was $41.21.

How many cans of dog food were purchased?

Enter your answer in the box.

There were ____ cans of dog food purchased.


4. There are a total of 25 deer in the front pasture. There are five more does than quadruple the number of bucks.

How many bucks are in the front pasture?

Enter your answer in the box.

There are ____ bucks in the front pasture.

Answers

Answer:

Step-by-step explanation:

1. 13

2. 38

3. 11

4. 4

Can someone help me with this? Its fairly easy but i genuinely dont remember

Answers

Supplementary angels

Dado P(x) = x2– kx + 2, hallar el valor de k para que P( – 2)=8

Answers

K =1 see attached picture

A jacket costs $80. it is on sale for 35% off. what is the discount? ​

Answers

Answer:

$52

Step-by-step explanation:

35% off

100% - 35% = 65%

65/100 = 0.65 ( multiplier)

0.65 x 80 = 52

Answer:

$28

Step-by-step explanation:

35/100 = x/800

0.35 * 800 = $28

The cost of 3 kg of apples and 6 kg of oranges is Rs 300. If the cost of 1 kg of oranges is Rs 30, find the cost of 8 kg of apples.​

Answers

Answer:

Cost of 1 = 30

So cost of 8kg apples=8*30

=240

Step-by-step explanation:

The Kim family just bought 7 crates of eggs, and each crate had 12 eggs. The family already had 9 eggs in their refrigerator. How many eggs do they have now?

Answers

Find the number of eggs in 7 crates:

1 crate = 12 eggs

7 crates = 12 x 7 = 84 eggs

Add the 8 eggs in their fridge:

84 + 8 = 92 eggs

Answer:

93

Step-by-step explanation:

7*12=84

84+9=93

Eva spent $11.61 downloading songs, and each song cost $1.29. Four students wrote and solved equations to find s, the number of songs that she downloaded. Which student wrote and solved the equation correctly?
Seba’s work:
1 dollar and 29 cents = 11 dollars and 61 cents. S = 10.
Ari’s work:
1 dollar and 29 cents = 11 dollars and 61 cents. S = 9.
Erick’s work:
StartFraction s Over 1 dollar and 29 cents EndFraction = 11 dollars and 61 cents. S = 14.98.
Daniel’s work:
StartFraction s Over 1 dollar and 29 cents EndFraction = 11 dollars and 61 cents. S = 9.

Answers

Answer:

1.29s = 11.61

s = 9

Step-by-step explanation:

1.29s = 11.61

s = 11.61/1.29

s = 9

Answer:

The correct answer is Ari's work

Step-by-step explanation:

right on edge

Welcome!^^

Help...? Thanks! No links

Answers

Answer: C) Move it 3 places to the left

Explanation:

We're dividing the number [tex]34.62[/tex] by [tex]10^3[/tex], which is the same as dividing by 1000.

The exponent 3 tells us how many spots to move the decimal point. We move to the left because the number gets smaller. If we multiplied by [tex]10^3[/tex], then we'd move the decimal point 3 spots to the right.

So, [tex]34.62 \div 10^3 = 34.62 \div 1000 = 0.03462[/tex]

You have to show work​

Answers

Answer:

your answer is right -2/3

Step-by-step explanation:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{10 - 4}{ - 6 - 3} = \frac{6}{ - 9} = - \frac{2}{3} [/tex]

please help me !!! omaths student see the attached question​

Answers

Answer:

34.64m

Step-by-step explanation:

Tan30= x(height) /60

x=60tan30

=34.64m

Sarahi has p number of pencils, if she finds 2 more and then triples her amount she still has less than Damaris
who has 40. Write an inequality for how many pencils Sarahi has.

Answers

Answer:

I believe the inequality would be: p+2x3<40

Step-by-step explanation:

Not exactly sure if it is correct but p (number of pencils Sarahi has) added too the 2 more she finds, and then x3 (when she triples her amount). This is less then (<) what Damaris has (which is 40) so it would be p+2x3<40.

Again not sure if its completely correct, but i hope it helps :,)

One angle of a right triangle measures 36. 5 degrees. What is the measure of the other small angle?.

Answers

Answer:

The other small angle is 53.5 degrees

Step-by-step explanation:

We know that a right triangle has to have a 90 degree angle and 2 other small angles.

All triangles when adding up all of their "degrees" has tp equal 180 degrees.

Since we know that there is a 90 degree angle and a 36.5 degree angle.

All we have to do is add 90 plus 36.5, then subtract that sum onto 180.

90 + 36.5 = 126.5

180 - 126.5 = 53.5

So the answer is 53.5 degrees.

Hope this helps! :)

૮ ・ﻌ・ა

A right triangle is a triangle in which the angles sum up to 180 degrees. It is made up of three sides : the height, the base and the hypotenuse. One of the angles in a right triangle has a value of 90 degrees.

Missing angle  = sum of angles in a triangle - (sum of the two given angles)

Missing angle = 180 - ( 90 + 36.5)

180 - 126.50

= 53.5 degrees

Please find attached an image of a right triangle. A similar question was answered here: https://brainly.com/question/24353342

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