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

y-3=? Help please!! Thank you!

Answers

Answer:

\mathrm{Axis\:interception\:points\:of}\:Y-3:\quad \mathrm{X\:Intercepts}:\:\left(3,\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-3\right)

Step-by-step explanation:

It's just y-3 because they aren't like terms if you're talking about algebra.

This question was brief so I'm not sure what you're a skin but this is the algebra answer.

3. There are 12 red balloons and 14
blue balloons in the bouquet.
What is the ratio of red balloons to blue balloons?

Answers

Answer:

6:7

Step-by-step explanation:

Divide 12 and 14 by 2 to simplify the ratio.

Answer: 6:7

Step-by-step explanation:

The number of red balloons in 12 and the number of blue ones is 14, which can be written as 12:14. 12:14 can be simplified to 6:7

i need help with this question

Answers

Divide x by y and compare:

5/1 = 5

10/2 = 5

20/4 = 5

All 3 are the same number so yes the rate of change is constant.

Answer:

Yes

Step-by-step explanation:

We can see that the correlation between x and y is

x = y/5

or

y = 5x

HELPPP my winter break packet is confusing

Answers

true false false true

Answer:

Step-by-step explanation:

318 / 40 = 7.95

each store got 7 boxes of milk

40 x 7 = 280

318 - 280 = 38

38 boxes got stored

so

true

false

false

true

4(3q + 10) = 6( 2q - 9 )

Answers

there is no solution
your answer would be: -94
Sorry if wrong

A lizard is 4 1/2 inches long.
How long is the lizard in centimeters?

Answers

Answer:

The lizard is 11.43 centimeters long.

What is the value of x in the solution to this system of equations?

y+5x=-1
y=1/2x+32

A. -198/29
B. 29
C. -6
D. 37/33

Answers

Step-by-step explanation:

the answer should be a I think

create a equation to solve for the mid segment with bases x-6 and 2x-9

Answers

Answer:

Step-by-step explanation:

If AD=DB  and  AE=EC,

then DE¯¯¯¯¯∥BC¯¯¯¯¯ and DE=12BC .

d/−7 ≤ −6 pls help :)

Answers

Answer:

D > -42

Step-by-step explanation:

1/3 + 3/5 in fraction form

Answers

Solution: 1/3 + 3/5

Take the LCM of 3 and 5 is 15.

⇛(5+9)/15

⇛14/15 in fractional form.

also read similar questions: What is 3/7 plus 3/5 in fraction form?...

https://brainly.com/question/3442261?referrer

-1 5/6 ÷ -3 1/3 in fraction form...

https://brainly.com/question/15930246?referrer

Answer:

14/15

Step-by-step explanation:

When you simplify a fraction, you have to divide or multiply the numerator(the top number) and the denominator(the bottom number) by the same number. In order to add or subtract two fractions, both have to have the same denominator. The LCD, or least common denominator, of 3 and 5 is 15. 15÷3=5, so you multiply 1/3 by 5 and and 5 to get 5/15. 15÷3=5, so you multiply 3/5 by 3 and 3 to get 9/15. The denominator stays the same when adding or subtracting fractions, and 5+9=14, so the answer is 14/15.

!!!HELP!!!
1) Which transformation can be used to map ABCD onto EFGH and to confirm that the figures are congruent?
A) ABCD can be mapped to EFGH with a translation right 4 units and down 4 units.
B) ABCD can be mapped to EFGH with a translation left 4 units and down 4 units.
C) ABCD can be mapped to EFGH with a translation left 4 units and up 4 units.
D) ABCD can be mapped to EFGH with a translation right 4 units and up 4 units.


2) Which sequence of transformations will only produce a figure similar to but not congruent to the figure ABCD?
A) ABCD is translated 2 units to the right and then reflected across the x-axis.
B) ABCD is translated 4 units left, 2 units up, and then reflected across the y-axis.
C) ABCD is rotated 180° clockwise about the origin and the translated 3 units right.
D) ABCD is dilated by a scale factor 3 and then rotated 90° clockwise about the origin.

Answers

Answer:

itsb a

Step-by-step explanation:

sorry

Which is the graph of f(x) = 2(3)*?

Answers

Answer:

First option (top left)

Step-by-step explanation:

Since the coefficient of this equation, [tex]2(3)^{x}[/tex], is 2, when x is 0, then y must be 2. The graph must have a y-intercept of 2. You can find this by plugging this in.

I cannot see the fourth graph, but the second graph does not have a y-intercept of 2, therefore it can immedeately be ruled out.

Then we plug in the coordinates they give.

It just so happens that the first one, [tex]2(3)^1[/tex] is indeed equal to 6.

We can check that this is right by disproving the third one (top right).

[tex]2(3)^2=18[/tex], not 8, therefore our third answer choice is false.

The fourth one is definetly wrong because the y-value at x=2 (as we have already calculated) is 18, not 12.

Therefore, our first answer, the one on the top left, is correct.

note: for this problem you did not even need to find the y-intercepts. Plugging in the coordinates would be fine by its own (the second answer choice is already wrong just because of the coordinates since 9≠6(found in answer choice 1)). However, having the y-intercept handy will be very helpful if there is more than one answer choice with correct coordinates.

can someone help me with this ​

Answers

x = 0 ⇒ (0⁵ + 32) = (0 + 2)⁵ ⇒ 32 = 32

x = -2 ⇒ [(-2)⁵ + 32] = (-2+2)⁵ ⇒ 0 = 0

So: (x⁵ + 32) = (x - 2)⁵ if x = -2 or x = 0

Ok done. Thank to me :>

a company can model the profit it makes on selling an item at price x by using the expression 2000x - 10,500. a second item sold at the same price brings in a profit og 1850x - 11,600. write and simplify an expression that reflects the total profit from the sale of both items

Answers

Profits are simply the difference between the selling price and the cost price of an item.

The expression that represents the total profit is 3850x - 22100

The profit (p1) on the first item is given as:

[tex]p_1 = 2000x - 10500[/tex]

The profit (p2) on the second item is given as:

[tex]p_2 = 1850x - 11600[/tex]

So, the total profit (p) on the sales of both items is:

[tex]p = p_1 + p_2[/tex]

Substitute known values

[tex]p = 2000x - 10500 + 1850x - 11600[/tex]

Collect like terms

[tex]p = 2000x + 1850x- 10500 - 11600[/tex]

[tex]p = 3850x-22100[/tex]

Hence, the expression that represents the total profit is 3850x - 22100

Read more about profits at:

https://brainly.com/question/23103804

NEED HELP ASAP!!!!!
Jeff and Ed are climbing a small mountain. The height Jeff climbed with respect to time is given by the function H(t) = -250|x − 4| + 1,000. Ed’s height with respect to time is modeled in the graph.

Ed and Jeff both climb to the mountain’s peak and then climb back down.

The maximum height of the mountain is (blank) feet. Jeff takes (blank) hour(s) less than Ed to go up all the way and come back down.

Answers

Answer:

Step-by-step explanation:

The maximum height of the mountain is 1000 feet. Jeff takes 10 hour(s) less than Ed to go up all the way and come back down

Round 6 734 591 to 2 significant figures

Answers

6 700 000 is the answer because 2 significant figures just means the first two numbers and then the rest 0

how many 4/5 are in 2

Answers

2 I think I actually don't know but the best guess would be 2

Answer:

1/10

Step-by-step explanation:

PLZZZZZ HELP ME. How many solutions does 2x - 1 = 2x + 3 have? One? Zero? Or Infinite? PLZ HELP ME ITS DUE IN 10 MINSS!!!!!!!!!!!!!!!!!!

Answers

Answer:

No Solution

Step-by-step explanation:

2x - 1 = 2x + 3 Combine the like terms.

0 = 4 Sine this mathematical statement is false (i.e. 0 is not equal to 4), no value of x would satisfy the equation. So there is no solution.

the area of a triangle with vertices at (-3,-2),(3,-2),(1,2) is

please provide small explanation

Answers

Answer:

12

Step-by-step explanation:

First, you have to graph (which I sadly cannot provide an image of)

Then look at the vertical height which is 4, the how long it is which is 6.

So A=1/2*6*4=12

find.


number y if 2/5of y is 22​

Answers

Answer
y=55

Reason
If 2/5y =22,
then 1/5y=11.
11 x 5 =55

Bruno and Amelia have 112 newspapers to deliver. Bruno delivers three fourths of the news papers, Amelia delivers one seventh pf the papers. How many papers are left to be deliverd

Answers

Answer:

f

Step-by-step explanation:

h(x)=3x−3, find h(3)h(3)

Answers

h(x)=3x−3, find h(3)

h(3)= 3(3)−3

= 9-3

= 6

1/ 99 to 4 significant figures​

Answers

Answer:

  0.01010

Step-by-step explanation:

The decimal equivalent is ...

  [tex]\dfrac{1}{99}=0.\overline{01}[/tex]

Rounded to 4 significant figures, it is ...

  0.01010

BRAINLIEST
Please answer these

Answers

2. A=49 Pi, C=14 Pi   3. A=225 pi, C=30 pi

4. A=104.04, C=20.4 pi  5. A=20.25 pi, C=9 Pi

Answer:

Step-by-step explanation:

Aura built a scale model of a building using a scale in which 4 inches represents 60 feet. The height of the building is 420 feet.

What is the height of the scale model in inches?

Answers

Answer:

  28 inches

Step-by-step explanation:

We're told that each 60 ft is represented by 4 inches of model. 420 feet is 7 times 60 feet, so the model will be 7 times 4 inches.

The height of the scale model is 28 inches.

A function is defined as k(x)=2x^2 - 5x + 3 The value of k(-3) is

Answers

Answer:

36

Step-by-step explanation:

k(-3) = 2(-3)² - 5(-3) + 3

= 18 - (-15) + 3

= 33 + 3

= 36

7 is a factor of
a 28
b 16
c 11
d 4

Answers

Answer:

a) 28

Step-by-step explanation:

Ok ixl is back up so here’s another question

Answers

Answer:

40 products

Step-by-step explanation:

If you take a look at the graph, you'll see that 300 seconds (on left) are required to complete a transaction of 40 products (on bottom).

I could not find the answer so I guessed and got it right here you go

Answers

(1/4) + (-21/8) = -19/8 = -2.375
Ok done. Thank to me:>

Answer:

u can use the scientific calculator to answer this question easily.

Step-by-step explanation:

Cooper drove his car for 2 hours at a constant speed of 60 miles per hour and then for another 30 minutes at a constant speed of 40 miles per hour. How far did Cooper drive?

100 miles
170 miles
180 miles
160 miles

Answers

60miles+40miles=100miles

Answer:

None of the answer choices show the correct answer.

The actual answer is 140 miles.

Step-by-step explanation:

Since Cooper drove 60 miles per hour for 2 hours, that means that he drove 120 miles for the first 2 hours.

60 * 2 = 120

Cooper then drove for another 30 minutes at a speed of 40 miles per hour.

30 minutes is half of and hour so we need to divide the 40 miles by 2.

40 / 2 = 20

Now we just have to add them together.

120 + 20 = 140

So the answer is 140 miles.

Hope this helps! :)

૮ ・ﻌ・ა

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